sampling-mesh-monitor/jupyter_notebooks/classifier_tests.ipynb
2025-07-14 21:25:13 +02:00

5321 lines
2.9 MiB

{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"id": "a20b8991-06b8-4686-b296-aeb0d177125b",
"metadata": {},
"outputs": [],
"source": [
"import scipy\n",
"import numpy as np\n",
"import re\n",
"import math\n",
"import sys\n",
"from collections import defaultdict, Counter\n",
"import json\n",
"import datetime\n",
"import itertools\n",
"import warnings\n",
"import statistics\n",
"from pathlib import Path\n",
"import zipfile\n",
"from scipy import interpolate\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "32a509a0-ff60-4744-b0a6-7077c4a15bec",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_11621/2846935186.py:45: UserWarning: Unknown pitch for 'cal-open'\n",
" warnings.warn(f'Unknown pitch for {meta!r}')\n",
"/tmp/ipykernel_11621/2846935186.py:45: UserWarning: Unknown pitch for 'baseline-5-open'\n",
" warnings.warn(f'Unknown pitch for {meta!r}')\n"
]
}
],
"source": [
"def notebook_path_on_disk():\n",
" return Path(json.loads(Path(sys.argv[-1]).read_bytes())['jupyter_session'])\n",
"\n",
"modification_data = {\n",
" 'short_across_traces': [31, 32, 33, 34, 35, 41, 42, 43, 44, 45],\n",
" 'short_within_trace': [26, 27, 28, 29, 30, 46, 47, 48, 49, 50],\n",
" 'open': [21, 22, 23, 24, 25, 36, 37, 38, 39, 40],\n",
" 'probe_points': [53, 54, 55],\n",
" 'loop_patch': [56, 57, 58, 59, 60, 61, 62, 63, 64, 65],\n",
"}\n",
"\n",
"baseline_serials = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"\n",
"def load_multichannel_data(path=None):\n",
" if path is None:\n",
" # Get the data dir independent on where exactly the Jupyter server is running\n",
" path = notebook_path_on_disk().parent.parent / 'data_multi'\n",
" \n",
" data_dict = defaultdict(list)\n",
" data_dict_runs = defaultdict(list)\n",
" for le_zip in path.glob('*.zip'):\n",
" le_zip = zipfile.ZipFile(le_zip)\n",
" for entry in le_zip.infolist():\n",
" if not entry.filename.endswith('.json'):\n",
" continue\n",
" data = json.loads(le_zip.read(entry))\n",
" info = data['info']\n",
" meta, specimen = info['meta'], info['specimen']\n",
" mesh_id = specimen\n",
" _rest, _, serial = specimen.rpartition('-')\n",
" try:\n",
" serial = int(serial)\n",
" except:\n",
" serial = 'none'\n",
"\n",
" mods = []\n",
" for modification, matching_serials in modification_data.items():\n",
" if serial in matching_serials:\n",
" mods.append(modification)\n",
" info['mods'] = mods\n",
"\n",
" if (g := re.search(r'p([.0-9]+)', meta)):\n",
" pitch = str(float(*g.groups()))\n",
" else:\n",
" warnings.warn(f'Unknown pitch for {meta!r}')\n",
" pitch = '?'\n",
"\n",
" mesh_layout = re.sub(r'-\\d{4}', '', specimen)\n",
" \n",
" if (g := re.search(r'side-([ab])-(right|left)', meta)):\n",
" layer, half = g.groups()\n",
" mesh_id = f'M-{specimen}-{pitch}-{layer}-{half}'\n",
" mesh_layout += f'-{layer}-{half}'\n",
" else:\n",
" mesh_id = f'M-{specimen}-{pitch}'\n",
" info['mesh_id'] = mesh_id\n",
" info['mesh_layout'] = mesh_layout\n",
" info['pitch'] = pitch\n",
" info['serial'] = serial if serial != 'none' else 0\n",
" info['baseline'] = (serial in baseline_serials)\n",
" data_dict[mesh_id].append(data)\n",
" data_dict_runs[meta.strip()].append(data)\n",
" return data_dict, data_dict_runs\n",
"\n",
"data, data_runs = load_multichannel_data()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "26ba6967-a405-49d5-b835-c3cb9276bc08",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"1264"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sum(len(value) for key, value in data_runs.items())"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "62650fb7-6230-4883-ba9a-aad9e0c4b69e",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"Counter({'Baseline-2-p0.3': 100,\n",
" 'attack-repeat-25-07-09-01-p0.3': 100,\n",
" 'copy-interleave-25-07-11-01-p0.3': 63,\n",
" 'short-within-trace-interleave-reference-25-07-11-04-p0.3': 42,\n",
" 'apply-patch-interleave-reference-25-07-11-03-p0.3': 40,\n",
" 'apply-patch-interleave-modified-25-07-11-03-p0.3': 40,\n",
" 'short-within-trace-interleave-modified-25-07-11-04-p0.3': 40,\n",
" 'patch-interleave-25-07-11-02-p0.3': 40,\n",
" 'simple-attack-25-07-07-01-p0.3': 33,\n",
" 'simple-attack-25-07-07-01-p0.4': 33,\n",
" 'Baseline-1-p0.3': 30,\n",
" 'Baseline-2-p0.4': 30,\n",
" 'probe-interleave-25-07-02-01-p0.4': 28,\n",
" 'probe-interleave-25-07-02-01-p0.3': 26,\n",
" 'Baseline-1-p0.4': 25,\n",
" 'touch-interleave-touch-serial-5-25-07-02-01-p0.3': 23,\n",
" 'attack-soldering-iron-25-07-08-01-p0.3': 22,\n",
" 'patch-attack-25-07-09-02-p0.3': 21,\n",
" 'patch-attack-25-07-09-01-p0.3': 20,\n",
" 'interleaved-25-07-02-01-p0.3': 20,\n",
" 'interleaved-25-07-02-02-p0.3': 20,\n",
" 'touch-ground-interleave-touch-serial-5-25-07-02-01-p0.3': 20,\n",
" 'hot-mesh-hot-serial-5-25-07-02-01-p0.3': 20,\n",
" 'simple-attack-25-07-08-01-p0.3': 20,\n",
" 'mods-25-07-01-01-p0.3': 16,\n",
" 'mods-25-07-01-01-p0.4': 16,\n",
" 'baseline-4-p0.4': 15,\n",
" 'mods-25-07-01-01-p0.6': 15,\n",
" 'mods-25-07-01-01-p1.0': 15,\n",
" 'attack-soldering-wire-25-07-08-01-p0.3': 12,\n",
" 'mod-25-07-02-01-p0.3': 12,\n",
" 'baseline-repeat-25-07-02-01-p0.3': 11,\n",
" 'baseline-repeat-25-07-02-02-p0.3': 10,\n",
" 'baseline-4-p0.3': 10,\n",
" 'environment-25-07-09-01-forest-x1c-p0.3': 10,\n",
" 'environment-25-07-08-01-homeoffice-desktop-p0.3': 10,\n",
" 'Baseline-2-alt-side-a-right-p0.4': 10,\n",
" 'Baseline-1-alt-side-a-right-p0.4': 10,\n",
" 'Baseline-2-alt-side-a-left-p0.4': 10,\n",
" 'Baseline-1-alt-side-a-left-p0.4': 10,\n",
" 'hot-mesh-hot-serial-5-25-07-02-01-p0.4': 10,\n",
" 'environment-25-07-09-01-forest-x1c-p0.4': 10,\n",
" 'environment-25-07-08-01-homeoffice-desktop-p0.4': 10,\n",
" 'environment-25-07-08-01-office-p14s-p0.3': 10,\n",
" 'environment-25-07-08-01-office-p14s-p0.4': 10,\n",
" 'environment-25-07-08-01-office-p14s-p0.6': 10,\n",
" 'environment-25-07-08-01-office-p14s-p1.0': 10,\n",
" 'environment-25-07-08-01-serverroom-p14s-p0.3': 10,\n",
" 'environment-25-07-08-01-serverroom-p14s-p0.4': 10,\n",
" 'environment-25-07-08-01-serverroom-p14s-p0.6': 10,\n",
" 'environment-25-07-08-01-serverroom-p14s-p1.0': 10,\n",
" 'environment-25-07-08-01-electronicslab-p14s-p0.3': 10,\n",
" 'environment-25-07-08-01-electronicslab-p14s-p0.4': 10,\n",
" 'environment-25-07-08-01-electronicslab-p14s-p0.6': 10,\n",
" 'environment-25-07-08-01-electronicslab-p14s-p1.0': 10,\n",
" 'environment-25-07-09-01-forest-x1c-p0.6': 10,\n",
" 'environment-25-07-08-01-homeoffice-desktop-p0.6': 10,\n",
" 'baseline-6-p0.6': 10,\n",
" 'environment-25-07-09-01-forest-x1c-p1.0 ': 10,\n",
" 'environment-25-07-08-01-homeoffice-desktop-p1.0': 10,\n",
" 'baseline-6-p1.0': 10,\n",
" 'cal-open': 2,\n",
" 'baseline-5-p0.6': 2,\n",
" 'baseline-4-p0.6': 1,\n",
" 'baseline-5-open': 1})"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Counter([value['info']['meta'] for entries in data.values() for value in entries])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "50d21521-28d4-44da-b72f-223212424c9d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0021', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:51:08.938Z', 'mods': ['open'], 'mesh_id': 'M-SP-PITCH-V2-0021-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 21, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0022', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:51:28.628Z', 'mods': ['open'], 'mesh_id': 'M-SP-PITCH-V2-0022-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 22, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0023', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:51:42.076Z', 'mods': ['open'], 'mesh_id': 'M-SP-PITCH-V2-0023-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 23, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0024', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:52:00.660Z', 'mods': ['open'], 'mesh_id': 'M-SP-PITCH-V2-0024-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 24, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0025', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:52:20.852Z', 'mods': ['open'], 'mesh_id': 'M-SP-PITCH-V2-0025-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 25, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0031', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:52:39.354Z', 'mods': ['short_across_traces'], 'mesh_id': 'M-SP-PITCH-V2-0031-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 31, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0032', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:52:58.701Z', 'mods': ['short_across_traces'], 'mesh_id': 'M-SP-PITCH-V2-0032-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 32, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0033', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:53:18.024Z', 'mods': ['short_across_traces'], 'mesh_id': 'M-SP-PITCH-V2-0033-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 33, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0034', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:53:37.115Z', 'mods': ['short_across_traces'], 'mesh_id': 'M-SP-PITCH-V2-0034-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 34, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0035', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:53:51.543Z', 'mods': ['short_across_traces'], 'mesh_id': 'M-SP-PITCH-V2-0035-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 35, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0026', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:54:09.575Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0026-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 26, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0027', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:54:36.174Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0027-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 27, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0028', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:54:54.825Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0028-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 28, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0029', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:55:16.120Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0029-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 29, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0029', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T14:20:55.480Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0029-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 29, 'baseline': False}\n",
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0030', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:55:33.188Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0030-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 30, 'baseline': False}\n"
]
}
],
"source": [
"for foo in data.values():\n",
" for elem in foo:\n",
" if elem['info']['meta'] == 'mods-25-07-01-01-p0.4':\n",
" print(elem['info'])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "eda2dc4b-1641-4fce-a4ec-cba08d8df9f9",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"[{'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0035',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:28:35.483Z',\n",
" 'mods': ['short_across_traces'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0035-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 35,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0034',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:28:55.114Z',\n",
" 'mods': ['short_across_traces'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0034-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 34,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0033',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:29:13.962Z',\n",
" 'mods': ['short_across_traces'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0033-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 33,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0032',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:29:33.248Z',\n",
" 'mods': ['short_across_traces'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0032-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 32,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0031',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:29:52.697Z',\n",
" 'mods': ['short_across_traces'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0031-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 31,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0030',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:26:21.618Z',\n",
" 'mods': ['short_within_trace'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0030-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 30,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0029',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:27:14.007Z',\n",
" 'mods': ['short_within_trace'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0029-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 29,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0029',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T14:20:23.363Z',\n",
" 'mods': ['short_within_trace'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0029-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 29,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0028',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:27:37.629Z',\n",
" 'mods': ['short_within_trace'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0028-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 28,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0027',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:27:57.358Z',\n",
" 'mods': ['short_within_trace'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0027-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 27,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0026',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:28:17.183Z',\n",
" 'mods': ['short_within_trace'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0026-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 26,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0025',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:30:19.087Z',\n",
" 'mods': ['open'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0025-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 25,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0024',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:30:37.999Z',\n",
" 'mods': ['open'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0024-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 24,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0023',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:30:57.251Z',\n",
" 'mods': ['open'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0023-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 23,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0022',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:31:16.891Z',\n",
" 'mods': ['open'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0022-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 22,\n",
" 'baseline': False},\n",
" {'meta': 'mods-25-07-01-01-p0.3',\n",
" 'specimen': 'SP-PITCH-V2-0021',\n",
" 'mcu': '203632423631500f003f0034',\n",
" 'chip': 'pi3hdx12211',\n",
" 'timestamp': '2025-07-01T13:31:39.864Z',\n",
" 'mods': ['open'],\n",
" 'mesh_id': 'M-SP-PITCH-V2-0021-0.3',\n",
" 'mesh_layout': 'SP-PITCH-V2',\n",
" 'pitch': '0.3',\n",
" 'serial': 21,\n",
" 'baseline': False}]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"[value['info'] for entries in data.values() for value in entries if value['info']['meta'] == 'mods-25-07-01-01-p0.3']"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "54565f84-158c-4a91-9420-3b047c46b369",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"{0.3: ['2025-07-02T15:01:37.534Z',\n",
" '2025-07-02T15:01:44.213Z',\n",
" '2025-07-02T15:01:50.886Z',\n",
" '2025-07-01T13:00:21.356Z',\n",
" '2025-07-07T11:12:08.214Z'],\n",
" 0.4: ['2025-07-08T19:01:27.348Z',\n",
" '2025-07-08T19:01:34.785Z',\n",
" '2025-07-08T19:01:40.874Z',\n",
" '2025-07-01T13:03:55.562Z',\n",
" '2025-07-07T11:22:15.688Z'],\n",
" 0.6: ['2025-07-08T19:02:42.237Z',\n",
" '2025-07-08T19:02:49.215Z',\n",
" '2025-07-08T19:02:55.878Z',\n",
" '2025-07-01T13:08:49.451Z',\n",
" '2025-07-01T13:19:55.971Z'],\n",
" 1.0: ['2025-07-08T19:03:50.835Z',\n",
" '2025-07-08T19:03:57.466Z',\n",
" '2025-07-08T19:04:04.237Z',\n",
" '2025-07-08T19:04:10.983Z',\n",
" '2025-07-01T13:20:32.218Z']}"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def newest_for_mesh(chip='pi3hdx12211'):\n",
" out = {}\n",
" for key, entries in data.items():\n",
" entries = [e for e in entries if e['info']['chip'] == chip]\n",
" out[key] = entries[0]\n",
" for value in entries[1:]:\n",
" if value['info']['timestamp'] > out[key]['info']['timestamp']:\n",
" out[key] = value\n",
" return out\n",
"\n",
"data_newest = newest_for_mesh()\n",
"mod_baseline = {pitch: [\n",
" data_newest[f'M-SP-PITCH-V2-{serial:04d}-{pitch}']\n",
" for serial in [1,2,3,4,5]]\n",
" for pitch in [0.3, 0.4, 0.6, 1.0]}\n",
"\n",
"mod_modified = {(mod, pitch): [\n",
" value\n",
" for value in data_newest.values()\n",
" if mod in value['info']['mods']\n",
" and value['info']['pitch'] == str(pitch)]\n",
" for mod, pitch in itertools.product(['open', 'short_within_trace', 'short_across_traces'],\n",
" [0.3, 0.4, 0.6, 1.0])}\n",
"one_specimen_baseline = {pitch:\n",
" [val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == f'M-SP-PITCH-V2-0005-{pitch}'][-5:]\n",
" for pitch in [0.3, 0.4, 0.6, 1.0]}\n",
"\n",
"#{k: [e['info']['timestamp'] for e in v] for k, v in mod_baseline.items()}\n",
"#{k: [e['info']['meta'] for e in v] for k, v in mod_modified.items()}\n",
"{k: [e['info']['timestamp'] for e in v] for k, v in one_specimen_baseline.items()}"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "b8d7c4e0-7860-4058-8fd1-e7948ac06674",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len([val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == 'M-SP-PITCH-V2-0001-0.4'][-5:])\n",
"len(list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[23456]-0\\.4', key)}.values()))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "72b6defa-c833-4f5e-9166-42d0654625bc",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Baseline threshold set at 0.999937\n",
"Within class: 1±8.75e-06 max: 1\n",
"Cross class: 1±7.56e-05 max: 1\n",
"Baseline false negative probability: 0.000000000108\n",
"Baseline false positive probability: 0.231346773343\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"roi_map = {\n",
" 'tdp0604': (155, 445),\n",
" 'pi3hdx12211': (160, 450),\n",
"}\n",
"foo = list(roi_map.values())[0]\n",
"roi_n = foo[1] - foo[0]\n",
"\n",
"def plot_covar(group_a, group_b, select_trace='open_fwd', select_channel='adc1', smooth=None, plot_cdf=False):\n",
" group_a = sorted(group_a, key=lambda entry: entry['info']['serial'])\n",
" group_b = sorted(group_b, key=lambda entry: entry['info']['serial'])\n",
" all_traces = group_a + group_b\n",
" \n",
" d = np.zeros((len(all_traces), roi_n))\n",
" labels = []\n",
" for i, trace in enumerate(all_traces):\n",
" trace_data = trace['data'][select_trace][select_channel]\n",
" start, end = roi_map[trace['info']['chip']]\n",
" trace_data = trace_data[start:end]\n",
"\n",
" if smooth is not None:\n",
" t = np.linspace(0, 1, len(trace_data))\n",
" spl = interpolate.make_smoothing_spline(t, trace_data, lam=smooth)\n",
" trace_data = spl(t)\n",
" \n",
" d[i] = trace_data\n",
" labels.append(str(trace['info']['serial']))\n",
" \n",
" \n",
" # Normalize each curve such that its mean is at 0 and its min is at -1\n",
" deltas = d[:,1:]\n",
" deltas -= np.repeat(deltas.mean(axis=1)[:,np.newaxis], roi_n-1, axis=1)\n",
" deltas /= np.repeat(deltas.max(axis=1)[:,np.newaxis], roi_n-1, axis=1)\n",
" \n",
" # Align all curves such that the trace starts where the trace crosses 0.5\n",
" #roi_refined = round(np.mean(roi_n - 1 - np.argmax(deltas[:,::-1] > 0.5, axis=1))), roi_n\n",
" #deltas = deltas[:,roi_refined[0]:roi_refined[1]]\n",
" \n",
" corr = np.corrcoef(deltas)\n",
" \n",
" fig, ax = plt.subplots()\n",
" for i, (x, lab) in enumerate(zip(deltas, labels)):\n",
" ax.plot(x, label=lab, color=('red' if i<len(group_a) else 'blue'), alpha=0.7)\n",
" ax.legend()\n",
" \n",
" within_class = corr[:4, :4][np.triu_indices(4)]\n",
" cross_class = corr[4:, :4].flatten()\n",
" \n",
" cdf = lambda x, mu, sigma: 1/2 * (1 + math.erf((x - mu) / (sigma * math.sqrt(2))))\n",
" threshold = (np.mean(within_class) + np.mean(cross_class)) / 2\n",
" print(f'Baseline threshold set at {threshold:.6f}')\n",
" \n",
" for name, data in [('Within', within_class), ('Cross', cross_class)]:\n",
" print(f'{name} class: {np.mean(data):.3g}±{np.std(data):.3g} max: {np.max(data):.3g}')\n",
" print(f'Baseline false negative probability: {cdf(threshold, np.mean(within_class), np.std(within_class)):.12f}')\n",
" print(f'Baseline false positive probability: {1 - cdf(threshold, np.mean(cross_class), np.std(cross_class)):.12f}')\n",
" \n",
" #corr -= np.min(corr)\n",
" #corr /= np.max(corr)\n",
" \n",
" #for i in range(len(corr[0])):\n",
" # corr[i, i] = math.nan\n",
" \n",
" fig, ax = plt.subplots()\n",
" cax = ax.matshow(corr, interpolation='nearest', cmap='managua')\n",
" fig.colorbar(cax)\n",
" ax.set_xticks(list(range(len(labels))))\n",
" ax.set_xticklabels(labels, rotation=45, ha='left')\n",
" ax.set_yticks(list(range(len(labels))))\n",
" ax.set_yticklabels(labels)\n",
" fig.tight_layout()\n",
"\n",
" if plot_cdf:\n",
" fig, ax = plt.subplots()\n",
" all_classes = [0] * len(group_a) + [1] * len(group_b)\n",
" min_corr = corr.min()\n",
" max_corr = corr.max()\n",
" d_corr = max_corr - min_corr\n",
" x = np.linspace(min_corr - 0.1*d_corr, max_corr + 0.1 * d_corr, 100)\n",
"\n",
" correct_in_group = lambda thr: np.mean(corr[np.triu_indices(len(group_a), 1)] >= thr)\n",
" correct_out_group = lambda thr: np.mean(corr[:len(group_a), len(group_a):] < thr)\n",
"\n",
" ax.plot(x, [correct_in_group(val) for val in x])\n",
" ax.plot(x, [correct_out_group(val) for val in x])\n",
" fig.tight_layout()\n",
" #fig.savefig('../paper/manip_pearson_corr.pdf')\n",
"\n",
"#group_a = [val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == 'M-SP-PITCH-V2-0001-0.4'][-5:]\n",
"#group_b = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[23456]-0\\.4', key)}.values())\n",
"\n",
"#group_a = [val for key, values in data.items() for val in values if val['info']['chip'] == 'tdp0604' and key == 'M-SP-PITCH-V2-0001-0.4'][-5:]\n",
"#group_b = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'tdp0604' and re.match(r'M-SP-PITCH-V2-000[23456]-0\\.4', key)}.values())\n",
"#plot_covar(group_a, group_b, select_trace='open_fwd', select_channel='adc1', smooth=None)\n",
"\n",
"group_a = [val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == 'M-SP-PITCH-V2-0003-0.4'][-5:]\n",
"group_b = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[1245]-0\\.4', key)}.values())\n",
"plot_covar(group_a, group_b, select_trace='open_fwd', smooth=1e-2, plot_cdf=True)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "6f435bd9-ebbc-458d-bad6-044ca7d7a111",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.972987\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.979±0.00182 min: 0.975 max: 0.983\n",
"Cross class: 0.944±0.00617 min: 0.934 max: 0.96\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000001501477\n",
"EER: 0.0 th: 0.9747796526628734\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_vector_covar(group_a, group_b,\n",
" do_cal=False,\n",
" vector_method='norm',\n",
" distance_method='corr',\n",
" smooth=None,\n",
" plot_cdf=False,\n",
" covar_out=None,\n",
" cdf_out=None,\n",
" fig_out=None,\n",
" do_lines=False,\n",
" batchlabels=None,\n",
" figsize=(3, 3),\n",
" triangle_delta=False,\n",
" sort_groups=False,\n",
" label_placement='xy',\n",
" return_matrix=False):\n",
" if sort_groups:\n",
" group_a = sorted(group_a, key=lambda entry: entry['info']['serial'])\n",
" group_b = sorted(group_b, key=lambda entry: entry['info']['serial'])\n",
" all_traces = group_a + group_b\n",
" prints = []\n",
" def print(*args):\n",
" s = ' '.join(map(str, args))\n",
" import builtins\n",
" builtins.print(s)\n",
" prints.append(s)\n",
"\n",
" if fig_out:\n",
" covar_out = Path(f'../paper/fig_covar_{fig_out}.pdf')\n",
" cdf_out = Path(f'../paper/fig_cdf_{fig_out}.pdf')\n",
" results_out = Path(f'../paper/fig_results_{fig_out}.txt')\n",
" else:\n",
" results_out = None\n",
" \n",
" d = np.zeros((len(all_traces), 12, roi_n))\n",
" labels = []\n",
" for i, entry in enumerate(all_traces):\n",
" start, end = roi_map[entry['info']['chip']]\n",
" labels.append(entry['info']['serial'])\n",
" for j, (term, direction, channel) in enumerate(itertools.product(['open', 'short', 'load'], ['fwd', 'flip'], ['adc1', 'adc2'])):\n",
" trace_data = np.array(entry['data'][f'{term}_{direction}'][channel])\n",
" if do_cal:\n",
" trace_data -= np.array(entry['data']['cal'][channel])\n",
" \n",
" if smooth is not None:\n",
" t = np.linspace(0, 1, len(trace_data))\n",
" spl = interpolate.make_smoothing_spline(t, trace_data, lam=smooth)\n",
" trace_data = spl(t)\n",
" \n",
" d[i, j] = trace_data[start:end]\n",
"\n",
" if triangle_delta == 'load':\n",
" d = d.reshape((len(all_traces), 3, 4, roi_n))\n",
" d_new = np.zeros(d.shape)\n",
" for i in range(0, 4):\n",
" d_new[:, 0] = d[:, 1] - d[:, 2]\n",
" d_new[:, 1] = d[:, 2] - d[:, 0]\n",
" d_new[:, 2] = d[:, 0] - d[:, 1]\n",
" d = d_new\n",
" d = d.reshape((len(all_traces), 12, roi_n))\n",
" \n",
" elif triangle_delta == 'channel':\n",
" d = d.reshape((len(all_traces), 3, 2, 2, roi_n))\n",
" d_new = np.zeros(d.shape)\n",
" for i in range(0, 4):\n",
" d_new[:, :, :, 0] = d[:, :, :, 1] - d[:, :, :, 0]\n",
" d_new[:, :, :, 1] = (d[:, :, :, 1] + d[:, :, :, 0]) / 2\n",
" d = d_new\n",
" d = d.reshape((len(all_traces), 12, roi_n))\n",
" \n",
" # Normalize each curve such that its mean is at 0 and its min is at -1\n",
" deltas = d[:,:,1:]\n",
" deltas -= np.repeat(deltas.mean(axis=2)[:,:,np.newaxis], roi_n-1, axis=2)\n",
" deltas /= np.repeat(deltas.max(axis=2)[:,:,np.newaxis], roi_n-1, axis=2)\n",
" \n",
" # Align all curves such that the trace starts where the trace crosses 0.5\n",
" #roi_refined = round(np.mean(roi_n - 1 - np.argmax(deltas[:,::-1] > 0.5, axis=1))), roi_n\n",
" #deltas = deltas[:,roi_refined[0]:roi_refined[1]]\n",
"\n",
" corr = np.zeros((12, len(all_traces), len(all_traces)))\n",
" for i in range(12):\n",
" if distance_method == 'corr':\n",
" corr[i] = np.corrcoef(deltas[:,i,:])\n",
" elif distance_method == 'max':\n",
" for k, l in itertools.product(range(len(all_traces)), repeat=2):\n",
" corr[i, k, l] = 1 - np.abs(deltas[k,i,:] - deltas[l,i,:]).max()\n",
" else:\n",
" raise ValueError(f'invalid distance_method {distance_method!r}')\n",
"\n",
" if vector_method == 'norm':\n",
" corr = np.sqrt(np.mean(np.square(corr), axis=0))\n",
" elif vector_method == 'min':\n",
" corr = np.min(corr, axis=0)\n",
" else:\n",
" raise ValueError(f'invalid vector_method {vector_method!r}')\n",
" \n",
" within_class = corr[:len(group_a), :len(group_a)][np.triu_indices(len(group_a), 1)]\n",
" cross_class = corr[len(group_a):, :len(group_a)].flatten()\n",
" \n",
" cdf = lambda x, mu, sigma: 1/2 * (1 + math.erf((x - mu) / (sigma * math.sqrt(2))))\n",
" quantile = lambda x, mu, sigma: mu + sigma * np.sqrt(2) * scipy.special.erfinv(2*x-1)\n",
" #threshold = (np.mean(within_class) + np.mean(cross_class)) / 2\n",
" #threshold = np.mean(within_class) -2*np.std(within_class)\n",
" #threshold = (np.min(within_class) + np.max(cross_class)) / 2\n",
" baseline_quantile = 0.001\n",
" print(f'setting threshold for quantile {baseline_quantile}')\n",
" threshold = quantile(baseline_quantile, np.mean(within_class), np.std(within_class))\n",
" print(f'Baseline threshold set at {threshold:.6f}')\n",
"\n",
" print()\n",
" print('Distribution parameters:')\n",
" for name, data in [('Within', within_class), ('Cross', cross_class)]:\n",
" print(f'{name} class: {np.mean(data):.3g}±{np.std(data):.3g} min: {np.min(data):.3g} max: {np.max(data):.3g}')\n",
" print()\n",
" print(f'Type 1 error (false alarm rate): {cdf(threshold, np.mean(within_class), np.std(within_class)):.12f}')\n",
" print(f'Type 2 error (missed alarm rate): {1 - cdf(threshold, np.mean(cross_class), np.std(cross_class)):.12f}')\n",
" \n",
" #corr -= np.min(corr)\n",
" #corr /= np.max(corr)\n",
" \n",
" #for i in range(len(corr[0])):\n",
" # corr[i, i] = math.nan\n",
" \n",
" fig, ax = plt.subplots(figsize=figsize)\n",
" corr_ax = ax.matshow(corr, interpolation='none', cmap='managua')\n",
" if batchlabels:\n",
" ticks, labels = batchlabels\n",
" ax.set_xticklabels([])\n",
" ax.set_yticklabels([])\n",
" if 'x' in label_placement:\n",
" ax.set_xticks(ticks)\n",
" ax.set_xticklabels(labels, rotation=45, ha='left')\n",
" if 'y' in label_placement:\n",
" ax.set_yticks(ticks)\n",
" ax.set_yticklabels(labels, rotation=0)\n",
" else:\n",
" ax.set_xticklabels([])\n",
" ax.set_yticklabels([])\n",
" \n",
" # https://stackoverflow.com/questions/18195758/set-matplotlib-colorbar-size-to-match-graph \n",
" from mpl_toolkits.axes_grid1 import make_axes_locatable, axes_size\n",
" divider = make_axes_locatable(ax)\n",
" aspect = 20\n",
" pad_fraction = 1\n",
" width = axes_size.AxesY(ax, aspect=1./aspect)\n",
" pad = axes_size.Fraction(pad_fraction, width)\n",
" cax = divider.append_axes(\"right\", size=width, pad=pad)\n",
" plt.colorbar(corr_ax, cax=cax)\n",
"\n",
" #fig.colorbar(cax)\n",
" #ax.set_xticks(list(range(len(labels))))\n",
" #ax.set_xticklabels(labels, rotation=45, ha='left')\n",
" #ax.set_yticks(list(range(len(labels))))\n",
" #ax.set_yticklabels(labels)\n",
" if do_lines:\n",
" ax.plot([-0.5, len(all_traces)-0.5], [len(group_a)-0.5, len(group_a)-0.5], '-', color='white', linewidth=1)\n",
" ax.plot([len(group_a)-0.5, len(group_a)-0.5], [-0.5, len(all_traces)-0.5], '-', color='white', linewidth=1)\n",
" fig.tight_layout()\n",
" if covar_out:\n",
" fig.savefig(covar_out)\n",
"\n",
" fig_c, ax_c = fig, ax\n",
" if plot_cdf:\n",
" fig, ax = plt.subplots(figsize=(3, 1.5))\n",
" all_classes = [0] * len(group_a) + [1] * len(group_b)\n",
" min_corr = corr.min()\n",
" max_corr = corr.max()\n",
" d_corr = max_corr - min_corr\n",
" x = np.linspace(min_corr - 0.1*d_corr, max_corr + 0.1 * d_corr, 100)\n",
"\n",
" correct_in_group = lambda thr: np.mean(corr[np.triu_indices(len(group_a), 1)] < thr)\n",
" correct_out_group = lambda thr: np.mean(corr[:len(group_a), len(group_a):] >= thr)\n",
"\n",
" cdf_in_group = [correct_in_group(val) for val in x]\n",
" cdf_out_group = [correct_out_group(val) for val in x]\n",
"\n",
" for x1, x2, a, b, c, d in zip(x, x[1:], cdf_in_group, cdf_in_group[1:], cdf_out_group, cdf_out_group[1:]):\n",
" if a <= c and b >= d:\n",
" # lines cross\n",
" if a == b == c == d:\n",
" eer = 0.0\n",
" eer_th = x2\n",
" else:\n",
" eer_th = (c - a) / (b + c - a - d)\n",
" eer = eer_th * (d - c) + c\n",
" eer_th = eer_th*(x2 - x1) + x1\n",
" print(f'EER: {eer} th: {eer_th}')\n",
" #ax.axhline(eer)\n",
" ax.axvline(eer_th, color='black', alpha=0.3, zorder=-2)\n",
" offx, offy = 10, 0\n",
" hora = 'left'\n",
" if eer > 0.85:\n",
" offy -= 15\n",
" elif eer < 0.15:\n",
" offy += 15\n",
" if (eer_th - min_corr) / (max_corr - min_corr) > 0.7:\n",
" offx = -offx\n",
" hora = 'right'\n",
" ax.annotate(f'CER={eer:.3f}', (eer_th, eer), (offx, offy), textcoords='offset pixels', verticalalignment='center', horizontalalignment=hora,\n",
" bbox={'boxstyle': 'square,pad=0.3', 'fc': '#ffffff80', 'ec': None, 'lw': 0})\n",
" \n",
" ax.plot(x, cdf_in_group, color='red', linewidth=1, linestyle='-', label='Type I')\n",
" ax.plot(x, cdf_out_group, color='blue', linewidth=1, linestyle='--', label='Type II')\n",
" #ax.legend(loc='best')\n",
" # Put legend above plot, from:\n",
" # https://stackoverflow.com/questions/4700614/how-to-put-the-legend-outside-the-plot\n",
" fig.tight_layout()\n",
" box = ax.get_position()\n",
" ax.set_position([box.x0, box.y0, box.width, box.height - 0.2])\n",
" # Put a legend below current axis\n",
" ax.legend(loc='lower center', bbox_to_anchor=(0.5, 1.02), ncol=2)\n",
"\n",
" ax.set_xlim((min(x), max(x)))\n",
" if cdf_out:\n",
" fig.savefig(cdf_out)\n",
" else:\n",
" eer = '<not calculated>'\n",
" fig, ax = None, None\n",
"\n",
" if results_out:\n",
" results_out.write_text('\\n'.join([\n",
" f'Results calculated from plots {covar_out.name} / {cdf_out.name if plot_cdf else '<none>'} on {datetime.datetime.now().isoformat()}',\n",
" f'',\n",
" *prints\n",
" ]))\n",
"\n",
" if return_matrix:\n",
" return corr\n",
" return fig_c, ax_c, fig, ax\n",
" #fig.savefig('../paper/manip_pearson_corr.pdf')\n",
"\n",
"#group_a = [val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == 'M-SP-PITCH-V2-0003-0.4'][-5:]\n",
"#group_b = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[1245]-0\\.4', key)}.values())\n",
"#plot_vector_covar(group_a, group_b, distance_method='corr', smooth=None)\n",
"\n",
"group_baseline = [value for value in data['M-SP-PITCH-V2-0010-0.3'] if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3'][:12]\n",
"group_probed = [value for entries in data.values() for value in entries if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3' and 'probe_points' in value['info']['mods']]\n",
"plot_vector_covar(group_baseline, group_probed, vector_method='norm', distance_method='corr', plot_cdf=True)"
]
},
{
"cell_type": "markdown",
"id": "4eaff3a3-835b-4df9-ab43-2004051f78a2",
"metadata": {},
"source": [
"## Checklist what's in the paper already\n",
"\n",
"- [x] Incorporate environmental runs into baseline\n",
"- [ ] ~Repeat looped patch experiment with multiple runs per sample~\n",
"- [ ] ~Repeat baseline vs. looped patch experiment using TDP0604~\n",
"- [ ] ~Environment sensitivity (RF/EMI): distinguish traces in different environments~\n",
"- [x] Distinguish baseline vs. 30 mm wire soldered to one point\n",
"- [x] Distinguish baseline vs. soldering iron touching one trace\n",
"- [ ] ~Distinguish baseline vs. patched traces~\n",
"- [x] Distinguish baseline vs. modified meshes\n",
"- [x] Measure drift over time\n",
"- [x] Compare drift cases\n",
"- [x] Test circuit sensitivity to grounding (mesh ground touched)\n",
"- [x] Detect when mesh is touched\n",
"- [x] Detect when a trace is probed with oscilloscope\n",
"- [x] Detect short within the same trace\n",
"- [x] Preliminary attack measurements\n",
"- [x] Distinguish mesh layout variants\n",
"- [x] Distinguish specimens with the same layout\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "8590e565-f6a4-4e45-ae5a-cb9314018f77",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we distinguish one specimen from other specimens with the same layout?"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "1d9b2596-b700-47ef-8533-6b61aef433c7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.976282\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.98±0.00119 min: 0.978 max: 0.982\n",
"Cross class: 0.973±0.00256 min: 0.968 max: 0.976\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.097963667345\n",
"EER: 0.0 th: 0.9783344188685095\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAARQAAACPCAYAAAA7piRNAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQAAHCtJREFUeJzt3XlYVNf5B/DvMA6LrO4sTgTRsNTWCD48YvTn0kREo2hswDQS3FKsJkVtY02tMdFHYpsnahZBRdRGrBilpGpMlLQBXEtFzBMd1IgQiUCsiSKCIMv7++M4I8MMy8CdlffzPPeBuecu58zlvtx77rnnyIiIwBhjErAzdwYYY7aDAwpjTDIcUBhjkuGAwhiTDAcUxphkOKAwxiTDAYUxJhkOKIwxyfQwdwak0NjYiPr6enNngzGLolAoIJfLTbpPqw4oRISKigrcvXvX3FlhzCJ5eHjA09MTMpnMJPuz6oCiDib9+/dHz549TfalMWbpiAg1NTW4desWAMDLy8sk+7XagNLY2KgJJn369DF3dhizOE5OTgCAW7duoX///ia5/bHaSll1nUnPnj3NnBPGLJf6/DBVHaPVBhQ1vs1hrHWmPj+sPqAwxiwHBxTGmGQ4oJiQTCZrc5o7d67J81RSUgKZTIYLFy6YfN+WzBqOlSUeO6t9ymONysvLNb/v378fb775Jq5cuaKZp66VZ+bHx6pz+ArFhDw9PTWTu7s7ZDIZPD09MWDAAIwZMwYpKSlay1+8eBF2dnYoKioCIP5rJicnIzIyEk5OTvDz88OBAwe01rl58yZiYmLQq1cv9OnTB1FRUSgpKTFVEW0GH6vO4YBiAWQyGebPn49du3Zpzd+5cyfGjh0Lf39/zbzVq1dj1qxZ+PrrrzFnzhy8+OKLKCwsBADU1NRgwoQJcHFxQW5uLk6ePAkXFxdMnjwZDx8+NGmZbBUfq7bZ1i1PTQ1w+bLp9xsYCHSxPcy8efPw5ptvIi8vD2FhYaivr0daWhreffddreVeeOEFLFy4EACwbt06ZGVl4cMPP0RSUhLS09NhZ2eHHTt2aB4X7tq1Cx4eHsjOzsakSZO6lEdjKC8XU3O9egF+fkBtLaBS6a4TEiJ+XrkCVFdrp/n6Ar17A//7H1Baqp3m5SWmruqux6ojbCugXL4MhIaafr/5+Y//yjvJy8sLU6dOxc6dOxEWFoYjR46gtrYWL7zwgtZy4eHhOp/VlXL5+fm4du0aXF1dtZapra3VXIpbmm3bgLff1p730ktAWhrw/ff6D6d6nIa5c4GzZ7XT9uwB5swBPvkEePVV7bQ1a4C33up6nrvrseoI2woogYHi5DbHfiWwcOFCxMbGYtOmTdi1axdiYmI61BJY/R+uqakJoaGh2Lt3r84y/fr1kySPUouPB6ZP157Xq5f4OXBg24dz9279VygAEB0NtDifJbk6UeuOx6ojbCug9OzZ5SsFc5oyZQqcnZ2RnJyMzz//HLm5uTrLnD17Fi+//LLW5xEjRgAAQkJCsH//fvTv3x9ubm4my3dXtHUb4ujY9uEMCGg9rV8/MRlLdzxWHcGVshZELpdj7ty5eOONNzBkyBCdS2YAOHDgAHbu3ImrV69izZo1yMvLw6uPru1feukl9O3bF1FRUThx4gSKi4uRk5ODhIQEfP/996Yujk3jY6UfBxQLs2DBAjx8+BDz58/Xm/72228jPT0dv/jFL/C3v/0Ne/fuRXBwMADxIlhubi6eeOIJPP/88wgKCsL8+fPx4MEDm/ovaCn4WOlBVurBgwekUqnowYMH5s6KpE6ePEk9evSgiooKnTQAlJmZafpMMb2s4ViZ+jyxrToUK1ZXV4fS0lKsXr0a0dHRGDBggLmzxFrBx6p1fMtjIfbt24eAgABUVlbir3/9q7mzw9rAx6p1MiL1U33rUltbi+LiYvj5+cHR0dHc2WHMIpn6POErFMaYZKw+oFjpBRZjJmHq88NqA4pCoQAgXrJijOmnPj/U54uxWe1THrlcDg8PD80wATyMBmOPUbNhNDw8PEw24JfVVsoCPNAXY+0x9UBfVh1Q1HgoUsZ0mWMoUpsIKIwxy2C1lbKMMcvDAYUxJhkOKIwxyXBAYYxJxuB2KLm5uXj33XeRn5+P8vJyZGZmYsaMGR1ev6mpCWVlZXB1deV2I4xZCSJCVVUVvL29YWfX+nWIwQGluroaw4cPx7x58zBr1iyDM1ZWVgalUmnweowx8ystLcXAgQNbTTc4oERGRiIyMrLTGVL38l1aWmrdPVNZkMbGRhw/fhwAMGnSJJO3PWC27969e1AqlTq99Ldk9Kb3dXV1qKur03yuqqoCAOzZ4wZHRxFQnngCmDULqK8HPvpIdxuvvAK4uACHDwPXrmmnjR0LjBxptOxbhcbGRk2P625ubsYJKLduAfv2AU1N0m+bWb7aWgBot5rC6AHlnXfewdstB14BkJgIqPM2frwIKA8firFTWnrxRRFQ0tNFUGlu3Tpg2DBg714gIkIMvcCMYMsW8WW7uJg7J8wcOtj+tUstZWUyWbuVsi2vUNSXTpWVlZLd8lRViaEYXn9df0CydY2NjTh69CgAMbyDUa5Qpk4Vf1SP9sO6l3v37sHd3b3d89boj40dHBzg5uamNUnN1RX49a+BHTuAhgbJN8+IxIhb5hiVkVkVm2mHEh8vhq784gtz58QG3bwJ/PADBxTWLoMDyv3793HhwgXNGK3FxcW4cOECbty4IXXeDBIaKkaZ27bNrNmwTerxQDmgsHYYXCl77tw5TJgwQfN5+fLlAIC4uDjs3r1bsox1xttvi7FuGxuBDz4Ann4aCAsza5ZsQ34+0L8/13izdhkcUMaPH2+x/bg+95z4WV8P/OlP4inS6dPAU0+ZNVvWT11/wi2bWTtspg6lOYUC+OknICgImDEDuH3b3DmyYkTAuXN8u8M6xGr7lG2PkxOQmSnOg8WLgf37gZoaICVFezl7e9HOpVcv8+TT4t28KRq1cUBhHWCzAQUQLXAPHhQNPGUy0V5l9WrtZXx8gClTOKC0Sl0h292bI7MOsemAAgDjxokJADw9RVDRp7YW4AEI9VBXyPr4mDsnzArYfEDpiDt3gPBw0RhUqQTc3YE5c0RdTLfyzTfAv/6lPe/QIa6QZR3GAQWAhwcQGQls3y4+V1eLf8z6XlS0WURAbCygUgEODo/ny2TAokXmyxezKhxQIM6ZTZvEBACpqUC361nhv/8Fvv5avKvThe4pWPfGAUWPBQvETyLxflB19eM0V9fH6efPi9a5NmHbNlGLPWmSuXPCrBgHlDZs3w78/vfa85RKEVBu3BD1LOfP20BlbmWl6BvijTcA7pyJdYFNNmyTSnw8cP++9lRYKNLq6sTvBw+aN4+SSEsTBZo/39w5YVaOr1A6aehQYOJEcacwZ465c9MJ5eXAJ5+I+7rkZGDaNMDb29y5YlaOA0oXxMcDMTHApUvAz35m7twY6E9/Aj7+WDQpVigeP+JirAv4lqcLZswA+vUDPv3U3Dkx0N274l2EdevEfdydO49b/zHWBXyF0gX29qJS1uoakaaliVeyuc6ESYyvULpo4EDRjuX+fXPnpIOIRMXP9OniXQTGJMQBRQK/+x0webK5c9FBZ88CFy+KCiDGJMYBRQJjxwKnTonKWYu3bRvg5wc884y5c8JsEAcUCURFiRdyLf5ByZ07ojL2lVeANsanZayz+K9KAvb2wLx54insgwfmzk0b0tLEOCPz5pk7J8xGcUCRyCuvAD16WPBtj7oyNiqKK2OZ0fBjY4n4+wNlZRbch8rp0yLaqV+pZswI+ApFQgqFqKZ4/XXxaoxF2b4dGDwY+OUvzZ0TZsM4oEjs+nXgww+BV1/t8PjSxnfnjnhvhytjmZHxX5fEQkNFVcWOHRY0iuGxY6LT3Lg4c+eE2TiuQzGCuDjRheRrrwHDhgFjxpg5Q/n5wKBBgJeXmTPCbB1foRjJe+8B//d/ot9ns+OBupiJ8BWKkSgUwPHjFtABWlOTeINx5UozZ4R1B3yFYkRyuaikTUszYyaKioBly4DoaDNmgnUXHFCM7N//FnUqd+6YKQPnzomfXH/CTIADipE9+6y468jONlMG8vPFwEM9e5opA6w74YBiZIMGAUOGAFlZZspAfj73FctMhgOKCTz7LPDll2bYcVOTCCh8u8NMhAOKCcycKR4hP3xo4h1fuyZGh2/jCqWiogKvvfYaBg8eDAcHByiVSkybNg3/ejTGsa+vL2Qymc60YcMGAEBJSYnWfHd3d4waNQqHDx/ucvaTkpLg5+cHR0dHhIaG4sSJE+2uk5OTg9DQUDg6OmLw4MHYunWrzjIZGRkIDg6Gg4MDgoODkZmZKcm+GQAyscrKSgJAlZWVpt61zWpoaKBDhw7RoUOHqKGh4XHC3/9OBBBVV+tdr7i4mLy9vSk4OJgOHDhAV65coYsXL9J7771HAQEBREQ0aNAgWrt2LZWXl2tN9+/f12wDAH355ZdUXl5OhYWF9Nprr5FCoaBvvvmm02VKT08nhUJBKSkppFKpKCEhgZydnem7775rdZ3r169Tz549KSEhgVQqFaWkpJBCoaCDBw9qljl9+jTJ5XJKTEykwsJCSkxMpB49etDZs2e7tG9b19HzlgOKiZSXE+XkGGfbrQaU5cuJfH1bXS8yMpJ8fHw0waG5O3fuEJEIKJs2bWp1G+qAUlBQoJl37949AkAffPCBoUXRCAsLo0WLFmnNCwwMpJUrV7a6zooVKygwMFBrXnx8PI0aNUrzOTo6miZPnqy1TEREBM2ePbtL+7Z1HT1v+ZbHRHbvFi/6muzKmQj4/HNg9Gi9yT/99BO++OILLFmyBM7OzjrpHh4endptfX09UlJSAACKZn05nDhxAi4uLm1OiYmJAICHDx8iPz8fk1qMszxp0iScPn261X2fOXNGZ52IiAicO3cO9fX1bS6j3m5n980EbilrIr//vXhH71e/Ek1DlEoj7/DUKTFW6ocf6k2+du0aiAiBgYHtbuqPf/wj/vznP2vNO3LkCMaPH6/5PHr0aNjZ2eHBgwdoamqCr68vops1phs5ciQuXLjQ5n569+4NALh9+zYaGxsxYMAArfQBAwagoqKi1fUrKir0rtPQ0IDbt2/Dy8ur1WXU2+3svpnAAcVEFArRg8DIkcDzz4srFaMOsr5tm+j1acIEvcn0qG8FmUzW7qZef/11zJ07V2ueT4vBiPbv34/AwEBcvXoVS5cuxdatWzUBAgCcnJwwZMgQg4rQMm9E1G5+9a3Tcn5HttuZfTN+ymNS/foBmZmi47QvvjDijn76CThwAPjNb1rt/2To0KGQyWQoVI/+3oa+fftiyJAhWpOTk5PWMkqlEkOHDsXUqVOxY8cOxMTE4NatW5p0Q255+vbtC7lcrnNFcOvWLZ0rh+Y8PT31rtOjRw/06dOnzWXU2+3svpnAAcXEQkLE09wZM4y4k48/Fm1QWlxVNNe7d29ERERgy5YtqK6u1km/e/dup3c/btw4DBs2DOvXr9fMU9/ytDUtWrQIAGBvb4/Q0FBktWgNmJWVhdGt1AkBQHh4uM46x48fx8iRIzX1Oa0to95uZ/fNHjF69XAL3fUpT0tNTUTvvUeUnd31bWk95amvJwoKIoqObne969evk6enJwUHB9PBgwfp6tWrpFKp6P3339c8LWntsbH6+Ol7ykNEdOjQIXJwcKDvv/++U2VSP7pNTU0llUpFS5cuJWdnZyopKdEss3LlSoqNjdUqT8+ePWnZsmWkUqkoNTVV57HxqVOnSC6X04YNG6iwsJA2bNjQ6mPjtvbd3fBjYwtXX080YQJRv35EXW3eoBVQLl0SbU8++6xD65aVldGSJUto0KBBZG9vTz4+PjR9+nT66quviEgEFAA6U3x8PBG1HlCampooICCAfvvb33a6XFu2bNHkKyQkhHJaPHePi4ujcePGac3Lzs6mESNGkL29Pfn6+lJycrLOdg8cOEABAQGkUCgoMDCQMjIyDN53d9PR81ZGZNqeT+/duwd3d3dUVlbCzc3NlLu2OP/7n6ik7ddPVNK2qJbosMbGRhw9ehQAMPXuXdi9/DLw449As0pRxrqio+ct16GYUfNK2kfVB12Xny+GGuVgwsyAA4qZhYQAW7eKBzN66kYNJjt/Xlz2MGYGHFAsQFwccPgwoKfBqmGamoCCAu4/lpkNBxQL0dAAfPqpeDm4s1zKyiC7f58DCjMbDigWorwcmDUL2Lev89twv3ZN/MIBhZkJBxQLoVQCU6Z0bXAw96Ii0ODBQK9e0mWMMQN0KqBw5zPGER8vRrxQ9yttKI9vvwWFhEibKcYMYHBA2b9/P5YuXYpVq1ahoKAAY8eORWRkJG7cuGGM/HUrkZGi/9nf/KYTvbs1NcG9uJhvd5hZGRxQNm7ciAULFmDhwoUICgrC5s2boVQqkZycbIz8dStyuXinLz4esLc3bF2XsjL0ePCAr1CYWRnUfYG685mVLUaha6vzmbq6OtTV1Wk+37t3T/yyfXvnm4basKceTdgCHCzwxw/3tL+jRWMvQW5HyPzaD2V3xXNmIsKdi40YgCAEhIRApQK++kp7u97eom/bxkbR7qWluDjAxUW8BV1UpJ02apS48CkuBh41yNXo1Qv49a/F79u3A4/6MdKIjhYN+HJygIsXtdOGDxfjPldUABkZ2mmOjsCCBeL3tDSgslI7fdo04IkngLw84L//1U578knRMfjdu8DevbplXbJE/Dx4EPjhB+20Z54BAgLEELK5udppSiUwfbq4enzUh5SW+fPFn/RnnwElJdppTz8NPPWUeDH02DHttL59gZgY8Xtysnj639yLL4p2iv/+t+jiprmQECA8HLh5UzwlbM7Z+fH7obt367ZzmjED8PEBzpwRt9rNBQUBEyeK9lH79omRWDrEkPb8N2/eJAB06tQprfnr16+nJ598Uu86a9as0fsuSKVCQWRvz1Mr0796TCJH1JA9arWmWoULkb09PSP7Uidts8+fqaGhgVJTdTf5zDPieNTW6t9laalInz1bN+0vfxFphw/rpg0f/vhY9+mjm37+vEj73e900/7wB5F25oxumrf34+0GBemmHzsm0tau1U2LixNp336rv6xqY8fqpu3dK9KSknTTpk4VaZWV+rd765ZInzlTN23zZpF28KBuWljY4zy5uOimX7ok0uLjddNWrRJp2dm6aX5+j7fr56ebrn4xddUq3bRHr2rRpUvi8/jxRniXp6ysDD4+Pjh9+jTCw8M189evX489e/bg8uXLOuvou0JRKpX8Lo+Emr/LM2XKFMjNPqAyszUdfZfHoFueznQ+4+DgAAcHB81ndfzS3PqwLmtsbERNTQ0A8b1yQGFSU5+v7V1/GBRQmnc+M3PmTM38rKwsREVFdWgbVY+agiqN3qkqY0xqVVVVcHd3bzXd4D5lly9fjtjYWIwcORLh4eHYvn07bty4oeltqz3e3t4oLS2Fq6urRfTRqb4FKy0t7Ra3YN2tvACXWYoyExGqqqrg3c6wtgYHlJiYGPz4449Yu3YtysvLMWzYMBw9ehSDBg3q0Pp2dnYYOHCgobs1Ojc3t27zxwZ0v/ICXOauauvKRK1Tvd4vXrwYixcv7syqjDEbxu/yMMYk0+0DioODA9asWaP1JMqWdbfyAlxmUzJ5n7KMMdvV7a9QGGPS4YDCGJMMBxTGmGQ4oDDGJGNzAcXQ3uS2bNmCoKAgODk5ISAgAB9//LFW+vjx4yGTyXSmqVOnGrMYBpG6zACwefNmBAQEwMnJCUqlEsuWLUNtba2ximAQqctbX1+PtWvXwt/fH46Ojhg+fDi+MOpo9obJzc3FtGnT4O3tDZlMhk9b9lOgR05ODkJDQ+Ho6IjBgwdjq54+KzIyMhAcHAwHBwcEBwcjMzOz65lt811kK6MekzYlJYVUKhUlJCSQs7MzfdfKWJ9JSUnk6upK6enpVFRURPv27SMXFxc6dOiQZpkff/xRa0zfixcvklwup127dpmoVG0zRpnT0tLIwcGB9u7dS8XFxXTs2DHy8vKipUuXmqpYrTJGeVesWEHe3t702WefUVFRESUlJZGjoyOdV/e9YGZHjx6lVatWUUZGBgGgzMzMNpdXj/GckJBAKpWKUlJSdMZ4Pn36NMnlckpMTKTCwkJKTEzUGeO5M2wqoISFhdGiRYu05gUGBtLKlSv1Lh8eHk5/UHfK8UhCQgI9/fTTre5j06ZN5OrqSvfv3+96hiVgjDIvWbKEJk6cqLXM8uXLacyYMRLluvOMUV4vLy/66KOPtJaJioqil156SaJcS6cjAWXFihWawe7V4uPjadSoUZrP0dHRNHnyZK1lIiIiaPbs2V3Kn83c8qh7k5s0aZLW/PZ6k3N0dNSa5+TkhLy8PNS37HrskdTUVMyePRvOXR6Vq+uMVeYxY8YgPz8feXl5AIDr16/j6NGjZr/NM1Z5W1vm5MmTEubedM6cOaPzHUVERODcuXOaMre2TGvfY0fZTEC5ffs2GhsbdfplGTBggE7/LWoRERHYsWMH8vPzQUQ4d+4cdu7cifr6ety+fVtn+by8PFy8eBELFy40ShkMZawyz549G+vWrcOYMWOgUCjg7++PCRMm6HT9aWrGKm9ERAQ2btyIb7/9Fk1NTcjKysI///lPlJeXG71MxlBRUaH3O2poaNCUubVlWvseO8pmAopayy4RiKjVbhJWr16NyMhIjBo1CgqFAlFRUZj7qBNOfZ0UpaamYtiwYQgLC5M8310hdZmzs7Oxfv16JCUl4fz58/jHP/6BI0eOYN26dUYtR0dJXd73338fQ4cORWBgIOzt7fHqq69i3rx5Vt1Rlb7vqOV8Q77HjrKZgNKZ3uScnJywc+dO1NTUoKSkBDdu3ICvry9cXV3Rt29frWVramqQnp5uMVcngPHKvHr1asTGxmLhwoX4+c9/jpkzZyIxMRHvvPMOmlr2oGxCxipvv3798Omnn6K6uhrfffcdLl++DBcXF/j5+Rm9TMbg6emp9zvq0aMH+vTp0+YyrX2PHWUzAaV5b3LNZWVlYfTo0W2uq1AoMHDgQMjlcqSnp+O5556DnZ32V/PJJ5+grq4Oc+bMkTzvnWWsMtfU1OiUXy6Xg0QlvrSFMICxj7GjoyN8fHzQ0NCAjIyMDvdCaGnCw8N1vqPjx49j5MiRUCgUbS7T3vfYri5V6VoY9SPF1NRUUqlUtHTpUnJ2dqaSkhIiIlq5ciXFxsZqlr9y5Qrt2bOHrl69Sv/5z38oJiaGevfuTcXFxTrbHjNmDMXExJiqKB1mjDKvWbOGXF1dad++fXT9+nU6fvw4+fv7U3R0tKmLp8MY5T179ixlZGRQUVER5ebm0sSJE8nPz4/u3Llj4tLpV1VVRQUFBVRQUEAAaOPGjVRQUKB5VN6yzOrHxsuWLSOVSkWpqak6j41PnTpFcrmcNmzYQIWFhbRhwwZ+bKzPli1baNCgQWRvb08hISGUk5OjSYuLi6Nx48ZpPqtUKnrqqafIycmJ3NzcKCoqii5fvqyzzStXrhAAOn78uCmKYDCpy1xfX09vvfUW+fv7k6OjIymVSlq8eLHFnGBSlzc7O5uCgoLIwcGB+vTpQ7GxsXTz5k1TFaddX331ld6haOIejRfSssxEokwjRowge3t78vX1peTkZJ3tHjhwgAICAkihUFBgYCBlZGR0Oa/cfQFjTDI2U4fCGDM/DiiMMclwQGGMSYYDCmNMMhxQGGOS4YDCGJMMBxTGmGQ4oDDGJMMBhTEmGQ4ojDHJcEBhjEmGAwpjTDL/D+tN+PuvcwsQAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = [val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == 'M-SP-PITCH-V2-0005-0.4'][-5:]\n",
"group_b = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[1234]-0\\.4', key)}.values())\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='distinguish_copies', do_lines=True)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "a0f3458f-60cc-4808-bb05-bec6c7226432",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.995906\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.997±0.000312 min: 0.996 max: 0.998\n",
"Cross class: 0.993±0.00153 min: 0.988 max: 0.995\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.016860093382\n",
"EER: 0.0 th: 0.9957236470464688\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = [value for value in data_runs[f'copy-interleave-25-07-11-01-p0.3'] if value['info']['serial'] in [5]]\n",
"group_b = [value for value in data_runs[f'copy-interleave-25-07-11-01-p0.3'] if value['info']['serial'] in [1, 2]]\n",
"group_b = sorted(group_b, key=lambda trace: trace['info']['serial'], reverse=True)\n",
"\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='distinguish_copies_large_run', do_lines=True, smooth=1e-8)"
]
},
{
"cell_type": "markdown",
"id": "fede0945-87c8-4a12-8f50-f4893a6cf8b8",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we distinguish mesh layout variants?\n",
"\n",
"Compare measurements of five specimens of the base layout against measurements of each of the four alternate layouts."
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "cfb46a92-d059-4f86-98a2-04684dc48e37",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.078150\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.326±0.0803 min: 0.209 max: 0.438\n",
"Cross class: -0.253±0.368 min: -1.01 max: 0.122\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.184411874207\n",
"EER: 0.0 th: 0.18489684728102906\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 68,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[12345]-0\\.4', key)}.values())\n",
"group_b = list({val['info']['mesh_layout']: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and 'ALT' in val['info']['mesh_layout']}.values())\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', fig_out='distinguish_layouts', plot_cdf=True, do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "e22244e4-b6f5-4206-aa36-7f641f37dfbb",
"metadata": {},
"source": [
"#### Same measurement, but show TPD0604 data "
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "0e325869-ca39-43ea-af6a-5250b2291143",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.995828\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.997±0.00035 min: 0.996 max: 0.997\n",
"Cross class: 0.98±0.0243 min: 0.935 max: 0.995\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.252693473932\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'tdp0604' and re.match(r'M-SP-PITCH-V2-000[12345]-0\\.4', key)}.values())\n",
"group_b = list({val['info']['mesh_layout']: val for key, values in data.items() for val in values if val['info']['chip'] == 'tdp0604' and 'ALT' in val['info']['mesh_layout']}.values())\n",
"plot_vector_covar(group_a, group_b, do_cal=False)"
]
},
{
"cell_type": "markdown",
"id": "0b4655d0-2164-4a01-88a0-41e76d2d934e",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Preliminary attack measurements"
]
},
{
"cell_type": "code",
"execution_count": 70,
"id": "6d7f5196-3161-4e38-aab2-c43e46b6d71f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.564±0.0468 min: 0.495 max: 0.659\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 70,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 0.3])"
]
},
{
"cell_type": "code",
"execution_count": 71,
"id": "43fa4b94-a509-4415-b5b2-a0ba4bfb2695",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.434±0.0706 min: 0.351 max: 0.616\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 71,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 0.4])"
]
},
{
"cell_type": "code",
"execution_count": 72,
"id": "3020e256-9eba-4872-b35e-af0a5b0e0642",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.32±0.0419 min: 0.248 max: 0.373\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 72,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 0.6])"
]
},
{
"cell_type": "code",
"execution_count": 73,
"id": "a239eab3-26a1-4aff-9cdf-9b3265ac0993",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.191±0.0348 min: 0.158 max: 0.264\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 1.0])"
]
},
{
"cell_type": "code",
"execution_count": 74,
"id": "2f2cae61-d0b7-4a15-8823-8e8f2cbcad9e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.697±0.0449 min: 0.634 max: 0.766\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000204\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['open', 0.3])"
]
},
{
"cell_type": "code",
"execution_count": 75,
"id": "5d284aae-5b02-4670-b571-7ab6772c836b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.554±0.0429 min: 0.497 max: 0.653\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['open', 0.4])"
]
},
{
"cell_type": "code",
"execution_count": 76,
"id": "cde79668-ed47-4e87-9d21-43bc7253820e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.38±0.0898 min: 0.28 max: 0.549\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000014\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['open', 0.6])"
]
},
{
"cell_type": "code",
"execution_count": 77,
"id": "cea0663e-1b3d-48e5-8329-37b020b6f0f0",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.271±0.0861 min: 0.2 max: 0.454\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 77,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['open', 1.0])"
]
},
{
"cell_type": "code",
"execution_count": 78,
"id": "9a715c1a-2caa-4ecb-a182-c94c979dda9e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.998775\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.999±0.000201 min: 0.999 max: 1\n",
"Cross class: 0.937±0.0919 min: 0.736 max: 0.999\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.251223299160\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 78,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASIAAADqCAYAAAAGckjbAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQAAHuJJREFUeJzt3X9QW2X+L/D3SYCErYSu8p1ALxHQ61gqV7elPyCIu+oKdlt1Z7bbODtDp17QMrjFiuPOZGu17TrD4K6A/cVst2Vjnd6W0erozpd1pd/71bYLWsuCd9T9ah3rDa2JXNjKjyIBkuf+QYmkISc5pw05hPdr5hmHc55znicRPn3Oc54fkhBCgIgohnSxrgAREQMREcUcAxERxRwDERHFHAMREcUcAxERxRwDERHFHAMREcUcAxERxVxUApHH48H27dvh8XiicXuWNYfLmu3y4rWsuCOiYGBgQAAQAwMD0bg9y5rDZc12efFalhrvvfeeWLt2rcjIyBAAxBtvvBH2mnfffVcsW7ZMGAwGkZOTI5qamoLyvPbaayI3N1ckJSWJ3Nxc8frrryuuGx/NiOaJS5cu4Y477sCePXsiyn/u3Dn87Gc/Q3FxMbq6uvDb3/4W1dXVOHbsmD9PR0cHbDYbysrK8NFHH6GsrAzr16/HBx98oKxyikNXBOL1XyGWNffKi9eyrhYiaBH95je/EYsXLw44tmnTJlFQUOD/ef369eL+++8PyFNaWioefvhhRfVJUBa2vufz+fD1118jJSUFkiQFnBscHAz4bzSxrLlV1myXp5WyhBAYGhrCokWLoNPJP4iMjo5ibGwsbHlCiKC/PYPBAIPBoKDWoXV0dKCkpCTgWGlpKQ4ePIjx8XEkJiaio6MDTz75ZFCexsZGRWWpDkRff/01LBaLbJ5w568lljW3yprt8rRSVk9PDzIzM0OeHx0dxb9l5WC41x22nOuuuw7Dw8MBx5577jls37494rrKcbvdMJvNAcfMZjMmJibQ19eHjIyMkHnc7vD1n051IEpJSQEAPPkPJwzXmdTeJq58ueZBVddlv3osfKYZSAnKu/h8YxOqytIbE1VdB50UPs8VLjn/paqozNpfqbruYtPbiq/59X89rij/0Mg4cn/1qv/vJpSxsTEM97rx5IdOGFJC/115hgbRsOJG9PT0wGT6Pt+1ag1NubLFJS4vXzb9+Ex5rjwWjupANFWQ4ToTjDJf2HySpFf3dcr9wsmJ10A0sWBcVVHJCeq+/xEV379pQZKqsiL9AzUsSIFhgUzQ8k0GBJPJFBCIrqX09PSglk1vby8SEhJwww03yOa5spUUDt+aEWmQmPCGTdFWWFiItra2gGPvvPMOli9fjsTERNk8VqtVUVmqW0REFD3CJyB8oVdxljsXyvDwML744gv/z+fOnUN3dzeuv/563HjjjbDb7bhw4QIOHToEAKisrMSePXtQU1ODRx99FB0dHTh48CCOHDniv8cTTzyBu+66C3V1dXjooYfw5ptv4vjx4zh16pSiurFFRKRBU4FILil15swZLF26FEuXLgUA1NTUYOnSpXj22WcBAC6XC06n058/JycHra2tePfdd/GjH/0Iv/vd77Br1y784he/8OexWq04evQo/vznP+P222+Hw+FAS0sLVq1apahuEbeIPB5PwND12XrVSzQfCa/845fwKn80+8lPfuLvbJ6Jw+EIOvbjH/8Y//jHP2Tvu27dOqxbt05xfaaLuEVUW1uL1NRUf5rtV71E80k0WkRaFnEgstvtGBgY8Keenp5o1otofvOJ8CmORPxodi1HbBKRvGh0VmsZ35oRaZCY8EFM+GTPxxMGIiINEj4fhE8mEMmcm4sYiIg0iI9mpJoO2v9XSgoz81sTVP6RKZze9P11Kqah6BOUXaM0PwTkv4f4ikMMRERa5PP64POG/odN7txcxEBEpEXhXtHz0YyIoo2d1UQUc+ysJqKY4zgiIoo5toiIKOaECBOIZGbRz0UMRERaJMRkkjsfRxiIiDRITHjhk1uPaBaWip1NDEREWsRxREQUa+ysJqKYE0LIdkizs5quPRWTLgF1kzWFyrLU1jFeeSeUBQKl+cWECDOOiIGIiKKMUzyIKPb4+p6IYo0DGoko5jjXjIhijm/NiCj2fL7JJHc+jkS8gLHH48Hg4GBAIqLoiNZOr/v27UNOTg6MRiPy8/Nx8uRJ2fx79+5Fbm4ukpOTceutt+LQoUMB5x0OByRJCkqjo6OK6hVxi6i2thY7duxQdHMiUkd4fRAy61LLnQulpaUFW7Zswb59+1BUVIQ//vGPWL16NT799FPceOONQfmbmppgt9vxpz/9CStWrMDp06fx6KOP4oc//CEeeOABfz6TyYTPPvss4Fqj0aiobtxymkiDotEiqq+vR3l5OSoqKpCbm4vGxkZYLBY0NTXNmP+VV17Bpk2bYLPZcNNNN+Hhhx9GeXk56urqAvJJkoT09PSApFTEgchgMMBkMgUkIoqOSAPRld0lHo9nxvuNjY2hs7MTJSUlAcdLSkrQ3t4+4zUejyeoZZOcnIzTp09jfHzcf2x4eBhZWVnIzMzE2rVr0dXVpfjzzoFNrojmIeELnwBYLBakpqb6U21t7Yy36+vrg9frhdlsDjhuNpvhdrtnvKa0tBQHDhxAZ2cnhBA4c+YMmpubMT4+jr6+PgDA4sWL4XA48NZbb+HIkSMwGo0oKirC2bNnFX1cvjUj0iCfV8AnM1bI551sEfX09AQ8nRgMBtn7SlfsQimECDo2Zdu2bXC73SgoKIAQAmazGRs3bsQLL7wAvV4PACgoKEBBQYH/mqKiIixbtgy7d+/Grl275D/kNGwREWnR1BQPuQQEdZeECkRpaWnQ6/VBrZ/e3t6gVtKU5ORkNDc3Y2RkBF999RWcTieys7ORkpKCtLS0Ga/R6XRYsWKF4hYRA9E1JEGoSzpJVVJlasEtpWkWSQl6VSmSv90Qf8+ac607q5OSkpCfn4+2traA421tbbBarbLXJiYmIjMzE3q9HkePHsXatWuhC7F1uRAC3d3dyMjIUFQ/PpoRaVEUBjTW1NSgrKwMy5cvR2FhIfbv3w+n04nKykoAk2/GL1y44B8r9Pnnn+P06dNYtWoVLl68iPr6enz88cd4+eWX/ffcsWMHCgoKcMstt2BwcBC7du1Cd3c39u7dq6huDEREGuTz+mT3t5c7F4rNZkN/fz927twJl8uFvLw8tLa2IisrCwDgcrngdDr9+b1eL1588UV89tlnSExMxN1334329nZkZ2f783z77bd47LHH4Ha7kZqaiqVLl+LEiRNYuXKloroxEBFpUZSWAamqqkJVVdWM5xwOR8DPubm5YV/FNzQ0oKGhQVVdpmMgItIgrllNRLE3zya9MhARaZFPfq4ZAxERRR3XIyKimOPi+UQUe1w8n4hiTXhFmPWIGIiIKMr4aEZEscdHMyKKNQ5oJNUE1M2IV71HVYKKxRPmwB72vrEJVdeFWFZnThJeL4TXK3s+njAQEWnRtFUYQ56PIwxERBrELaeJKPbCLUjHPiIiijb2ERFRzAnhg5DpB5I7NxdFHIg8Hk/AnknccpooiubZo1nE739ra2sD9k+yWCzRrBfRvDa55bRXJsVXi4hbThNpUYQbLMaLiB/NDAZD2M3biOja4FwzIoo9zjUjolgTvgkIb+ipLsKnbhqMVjEQEWnRPHtrdtWB6Ms1DyJJr+w2Osze860Edf/D1Exgvek//7eqsr75abGq68aF8kmvBp26gXDfedX9qiSpKE9tWWtWX6fqugN3lyi+puNeZb8flxRO5OU4IiKKPW4nRESxJrw+CJnWZLyNI2IgItKiebYMiIqVtYgo6qYezeSSCvv27UNOTg6MRiPy8/Nx8uRJ2fx79+5Fbm4ukpOTceutt+LQoUNBeY4dO4YlS5bAYDBgyZIleOONNxTXi4GISIuiMLK6paUFW7ZswdatW9HV1YXi4mKsXr0aTqdzxvxNTU2w2+3Yvn07PvnkE+zYsQOPP/44/vKXv/jzdHR0wGazoaysDB999BHKysqwfv16fPDBB4rqxkBEpEHCOxE2KVVfX4/y8nJUVFQgNzcXjY2NsFgsaGpqmjH/K6+8gk2bNsFms+Gmm27Cww8/jPLyctTV1fnzNDY24r777oPdbsfixYtht9tx7733orGxUVHdGIiItGhqZLVcwuQqGNPT9BUyphsbG0NnZydKSgKHKpSUlKC9vX3GazweD4xGY8Cx5ORknD59GuPj4wAmW0RX3rO0tDTkPUNhICLSIhGmf+jyo5nFYglYFaO2tnbG2/X19cHr9cJsNgccN5vNcLvdM15TWlqKAwcOoLOzE0IInDlzBs3NzRgfH0dfXx8AwO12K7pnKHxrRqRFEb416+npgclk8h8ONzFdumKrEyFE0LEp27Ztg9vtRkFBAYQQMJvN2LhxI1544QXo9XpV9wyFLSIiLfJ6Ae+ETJocY2QymQJSqECUlpYGvV4f1FLp7e0NatFMSU5ORnNzM0ZGRvDVV1/B6XQiOzsbKSkpSEtLAwCkp6crumcoDEREWnSN35olJSUhPz8fbW1tAcfb2tpgtVplr01MTERmZib0ej2OHj2KtWvXQqebDB2FhYVB93znnXfC3vNKfDQj0qIoTPGoqalBWVkZli9fjsLCQuzfvx9OpxOVlZUAJhc/vHDhgn+s0Oeff47Tp09j1apVuHjxIurr6/Hxxx/j5Zdf9t/ziSeewF133YW6ujo89NBDePPNN3H8+HGcOnVKUd0YiIi0KAojq202G/r7+7Fz5064XC7k5eWhtbUVWVlZAACXyxUwpsjr9eLFF1/EZ599hsTERNx9991ob29Hdna2P4/VasXRo0fxzDPPYNu2bbj55pvR0tKCVatWKaqbJFTu1DY4OIjU1FT8pvv/wZBiCn/B1VK5VbKk8jo120D3PXiPqrLMx+VHt4aipo7jg6OqytIl6cNnukZGnBdVXfc/9thUXfflH44rvmbnYLWi/IPDY0gt/jMGBgYCOpeD8l3+uyot/DUSE0J3PI9PePC3jj1h7zdXsEVEpEXzbK4ZAxGRFjEQEVHMCREmEHGFRiKKMsnrhSSFXo9I4pbTRBR94cYK8dGMiKKNfUQz83g8ATN7BwcHo1IhIsK8C0QRT/Gora0NmOVrsViiWS+ieU3yTYRN8STiQGS32/373g8MDKCnpyea9SKa36KwQqOWRfxoZjAYwi4xQETXhgQhuyef2v36tIqd1URaxHFERBRrks8LSQrdcyL5OI6IiKJMEj5IMi0iuXNz0VUHIilBBykh+uurqZ1Fr5qKz6RmL3pA3Sx6AKq+d70xcdbKmm0TE+oeV9SsLDA6pOyt1eglpW+5fJAftMhARERRJgkBSaYfSO7cXMRARKRBkvBCkmlhS4J9REQUZewjIiINEJeT3Pn4wUBEpEEc0EhEMacTXuhk+oh07CMiomiTIN/qmeXBLFHHQESkQXw0I6KY4zgiIoo5CV7oZB7AJLCPiIiiTIJ8PxD7iIgo6iRJQJJkHs1kzs1FVx2IfGMT8I0pm9An6ZRPoBRqJ736VP4PU1GeQaeuuax2G2g1E1j1P1A36dU7qm5pUjWTlX2zvFWOT8WkY6Hw90pp/mh1Vu/btw+///3v4XK5cNttt6GxsRHFxcUh8x8+fBgvvPACzp49i9TUVNx///34wx/+gBtuuAEA4HA48MgjjwRd991338FoNEZcL+1PqSaah3TwhU1KtbS0YMuWLdi6dSu6urpQXFyM1atXw+l0zpj/1KlT2LBhA8rLy/HJJ5/g1VdfxYcffoiKioqAfCaTCS6XKyApCUKTn5eINEeKIClVX1+P8vJyVFRUIDc3F42NjbBYLGhqapox//vvv4/s7GxUV1cjJycHd955JzZt2oQzZ84E1lWSkJ6eHpCUYiAi0qCpPiK5BExu6zU9Td/ya7qxsTF0dnaipKQk4HhJSQna29tnvMZqteL8+fNobW2FEALffPMNXnvtNaxZsyYg3/DwMLKyspCZmYm1a9eiq6tL8edlICLSID1E2AQAFoslYJuv2traGe/X19cHr9cLs9kccNxsNsPtds94jdVqxeHDh2Gz2ZCUlIT09HQsXLgQu3fv9udZvHgxHA4H3nrrLRw5cgRGoxFFRUU4e/asos/Lt2ZEGhTpW7Oenh6YTCb/8XA77UhS4EOdECLo2JRPP/0U1dXVePbZZ1FaWgqXy4Wnn34alZWVOHjwIACgoKAABQUF/muKioqwbNky7N69G7t27ZL/kNMwEBFpkA7yjytT50wmU0AgCiUtLQ16vT6o9dPb2xvUSppSW1uLoqIiPP300wCA22+/HQsWLEBxcTGef/55ZGRkBNdLp8OKFSsUt4gifjTzeDxBz6NEFB2R9hFFKikpCfn5+Whraws43tbWBqvVOuM1IyMj0F0x1Eavn1zfW4SYYiKEQHd394xBSg63nCbSIL0kwialampqcODAATQ3N+Of//wnnnzySTidTlRWVgKY3M15w4YN/vwPPPAAXn/9dTQ1NeHLL7/E3//+d1RXV2PlypVYtGgRAGDHjh3429/+hi+//BLd3d0oLy9Hd3e3/56RivjRzG63o6amxv/z4OAggxFRtEhAiK4b/3mlbDYb+vv7sXPnTrhcLuTl5aG1tRVZWVkAAJfLFTCmaOPGjRgaGsKePXvw1FNPYeHChbjnnntQV1fnz/Ptt9/iscceg9vtRmpqKpYuXYoTJ05g5cqViurGLaeJNEgnyQ/uVzvRoKqqClVVVTOeczgcQcc2b96MzZs3h7xfQ0MDGhoa1FVmGnZWE2kQJ70SUczpdQJ6Xeh+ID3XIyKiaIvWo5lWXXUg0hsTVW9jrMgc+Oa/86r7On+oYstjQN020Gpn0euN6j6bmu209QZ1v0+Dw+r2+lKz5bTXq6xFojS/FKazWrYjew5ii4hIg9giIqKY0+smU8jz8dVFxEBEpEU6hGkRzVpNZgcDEZEGsY+IiGJOCtNHxEBERFEXto8ozp7NGIiINIhvzYgo5thHREQxp5Mk6GSijdy5uYiBiEiD9PrJFPI8xxERUbSxj4iIYk6SpJCL2k+djycMREQaxBaRUuG+sXkkSTe7e7aroWYvekDdLHpA3QoBauuYlKjy91DhvvQAkJCo7HMpza8L00cks1TRnMQWEZEG8dGMiGKOk16JKOYk3WSSOx9PGIiINChBJyFBpkkkd24uYiAi0iC2iELweDzweDz+n7nlNFH0zLfOam45TaRBU6Ni5FI8iTgQ2e12DAwM+FNPT08060U0r+n1UtgUTyIORAaDASaTKSARUZRI3y8FMlNSu9Xrvn37kJOTA6PRiPz8fJw8eVI2/+HDh3HHHXfgBz/4ATIyMvDII4+gv78/IM+xY8ewZMkSGAwGLFmyBG+88YbiesVZlxdRfNDpwielWlpasGXLFmzduhVdXV0oLi7G6tWr4XQ6Z8x/6tQpbNiwAeXl5fjkk0/w6quv4sMPP0RFRYU/T0dHB2w2G8rKyvDRRx+hrKwM69evxwcffKDs8yr/OEQUbVOd1XJJqfr6epSXl6OiogK5ublobGyExWJBU1PTjPnff/99ZGdno7q6Gjk5ObjzzjuxadMmnDlzxp+nsbER9913H+x2OxYvXgy73Y57770XjY2NiurGQESkQZH2EQ0ODgak6W+2pxsbG0NnZydKSkoCjpeUlKC9vX3Ga6xWK86fP4/W1lYIIfDNN9/gtddew5o1a/x5Ojo6gu5ZWloa8p6hXPU4okvOf2Fiwbiyi1RMMlRLSlC3nbNvTPnWzGq3nB5xXlR1nRo+r7qJuWq3gVYzgfW6//5vqsr6P+fVdZykftUfPtMVvhtS9jv/3Yiy/BLCLBV7+b9Xvr1+7rnnsH379qD8fX198Hq9MJvNAcfNZjPcbveMZVitVhw+fBg2mw2jo6OYmJjAgw8+iN27d/vzuN1uRfcMhS0iIg3S6aSwCQB6enoC3mbb7XbZ+175SCeECPmY9+mnn6K6uhrPPvssOjs78fbbb+PcuXOorKxUfc9QOLKaSIMiXTw/0jfYaWlp0Ov1QS2V3t7eoBbNlNraWhQVFeHpp58GANx+++1YsGABiouL8fzzzyMjIwPp6emK7hkKW0REGnStxxElJSUhPz8fbW1tAcfb2tpgtVpnvGZkZAS6K17P6S8vkiTEZPdKYWFh0D3feeedkPcMhS0iIg2KxnZCNTU1KCsrw/Lly1FYWIj9+/fD6XT6H7XsdjsuXLiAQ4cOAQAeeOABPProo2hqakJpaSlcLhe2bNmClStXYtGiRQCAJ554AnfddRfq6urw0EMP4c0338Tx48dx6tQpRXVjICLSoGjMNbPZbOjv78fOnTvhcrmQl5eH1tZWZGVlAQBcLlfAmKKNGzdiaGgIe/bswVNPPYWFCxfinnvuQV1dnT+P1WrF0aNH8cwzz2Dbtm24+eab0dLSglWrVimqGwMRkQZFa/Z9VVUVqqqqZjzncDiCjm3evBmbN2+Wvee6deuwbt06dRW6jIGISIN0YfqBdHE214yBiEiDuOU0EcWcpJNkB4Oq3elEqxiIiDSI+5oRUczpdJJsP5AuziIRAxGRBs23pWIZiIg0KNyaQ2rWI9Kyqw5EmbW/QnKCstvMZjAXKif6q6njmtXXqSrr/+6xqbpuYmL2VjEYHFa35bSabaDVzqL/b/9xQtV1128oVnzNf2YkKco/onA1B51e/hW9Tt2iEprFFhGRBvHRjIhijo9mRBRzHEdERDGn04d5fc8pHkQUdWGmeKjdTkiruOU0kQbpJEl20KIuzjqrueU0kQbJba4YbkLsXMQtp4k0SJegC5viScSPZgaDAQaDIZp1IaLLuAwIEcXc9C2DQp2PJwxERBoUraVitYqBiEiDOI6IiGKOI6sVutj0NkZSwu80OV28fYlTDtxdouq6m//9uKrrdEnKp2D7JtTNoldT1mSBylcIULMXPaBuFj0A/OvQScXXbPz4fyrKP3hpDDgaeX6u0EhEMSdJYVpEcfbajIGISIPYR0REsRemjyjens0YiIg0aL6tRxRnH4coPky9NZNLauzbtw85OTkwGo3Iz8/HyZOhO+o3btzoXylyerrtttv8eRwOx4x5RkdHFdWLgYhIg6b6iOSSUi0tLdiyZQu2bt2Krq4uFBcXY/Xq1XA6nTPmf+mll+Byufypp6cH119/PX75y18G5DOZTAH5XC4XjEajss+r+NMQUdRFo0VUX1+P8vJyVFRUIDc3F42NjbBYLGhqapoxf2pqKtLT0/3pzJkzuHjxIh555JHAukpSQL709HTFdWMgItKgqT4iuQRMrgs2PU1fM2y6sbExdHZ2oqQkcKxbSUkJ2tvbI6rTwYMH8dOf/hRZWVkBx4eHh5GVlYXMzEysXbsWXV1dyj+v4iuIKOokBPe7BKTLSzRaLJaAdcJqa2tnvF9fXx+8Xi/MZnPAcbPZDLfbHbY+LpcLf/3rX1FRURFwfPHixXA4HHjrrbdw5MgRGI1GFBUV4ezZs4o+L9+aEWmQLkGCLkFmHNHlcz09PTCZvp/ZEG6pnisHQgohIhoc6XA4sHDhQvz85z8POF5QUICCggL/z0VFRVi2bBl2796NXbt2hb3vFAYiIg2KdBkQk8kUEIhCSUtLg16vD2r99Pb2BrWSriSEQHNzM8rKypCUJL+xpE6nw4oVKxS3iPhoRqRBU8uAyCUlkpKSkJ+fj7a2toDjbW1tsFqtste+9957+OKLL1BeXh62HCEEuru7kZGRoah+V90i+vV/PQ7TAmXb7+plmpyheGdxe2W1Ou5VN7ajZLBa1XWjQ8q2MQYAoWISKgB4vequS0hU/m/dd0PjqspSug30FKUTWAGgPq9ZUf7RoUEA/yvi/JPBRm72vaLiAQA1NTUoKyvD8uXLUVhYiP3798PpdKKyshLA5HLQFy5cwKFDhwKuO3jwIFatWoW8vLyge+7YsQMFBQW45ZZbMDg4iF27dqG7uxt79+5VVDc+mhFpUDTmmtlsNvT392Pnzp1wuVzIy8tDa2ur/y2Yy+UKGlM0MDCAY8eO4aWXXprxnt9++y0ee+wxuN1upKamYunSpThx4gRWrlypqG4MREQaJIXpI1I7srqqqgpVVVUznnM4HEHHUlNTMTIyEvJ+DQ0NaGhoUFWX6RiIiDSIS8USUcxxPSIiijl9giT7UkfNCx8t45bTRBo039as5pbTRBoUrWVAtIpbThNp0LUe0Kh13HKaSIP0CTroZfa3lzs3F7GzmkiD+PqeiGKOr++JKOYinX0fL1QHIiEmJ0EOjSifoBivk14vjSmfhAoAg8Njqq4bvRSnk15V/E4BwIja7/+S8u9/chJr5DzDk/mn/m7CGfaMy65HNOxR9x1plSQi/WaucP78eb7CJ1Kop6cHmZmZIc+Pjo4iJycnolUT09PTce7cOcUL1WuR6kDk8/nw9ddfIyUlJeh5dXBwEBaLJWj1uGhgWXOrrNkuTytlCSEwNDSERYsWQRdmU7LR0VGMjYVvpSUlJcVFEAKu4tFMp9PJRnYg8tXjrgWWNbfKmu3ytFBWampqRNcbjca4CTCRirOXgEQ0FzEQEVHMRSUQGQwGPPfcc7MyEptlza2yZru8eC0r3qjurCYiulb4aEZEMcdAREQxx0BERDHHQEREMcdAREQxx0BERDHHQEREMcdAREQx9/8B+xxozVhPyLkAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_within_trace', 0.3], distance_method='corr', vector_method='norm', smooth=1e-5)"
]
},
{
"cell_type": "code",
"execution_count": 79,
"id": "1b0a2d88-8022-4ff7-828a-8651a91514d6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Baseline threshold set at 0.933097\n",
"Within class: 0.999±0.000772 max: 1\n",
"Cross class: 0.867±0.21 max: 1\n",
"Baseline false negative probability: 0.000000000000\n",
"Baseline false positive probability: 0.376374353664\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_covar(mod_baseline[0.3], mod_modified['short_within_trace', 0.3], select_trace='open_fwd', select_channel='adc1', smooth=1e-5)"
]
},
{
"cell_type": "code",
"execution_count": 80,
"id": "5560ec94-f8d9-4828-a75f-d006416733bd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.635±0.0628 min: 0.514 max: 0.704\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000021955\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 80,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_within_trace', 0.4])"
]
},
{
"cell_type": "code",
"execution_count": 81,
"id": "9f626678-0b7e-4c37-86ca-d1c2746e6c20",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.346±0.00811 min: 0.326 max: 0.354\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 81,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_within_trace', 0.6])"
]
},
{
"cell_type": "code",
"execution_count": 82,
"id": "a25858aa-b730-4898-bc83-8e3bc54cb36c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978377\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
"Cross class: 0.264±0.0184 min: 0.233 max: 0.304\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 82,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_within_trace', 1.0])"
]
},
{
"cell_type": "markdown",
"id": "70dffb1c-834e-4d14-a0b4-4c899ff8b3c7",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we detect a short within the same trace?"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "a9fce3aa-2108-48e5-afae-c3f1e75c7db3",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.974230\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.98±0.00188 min: 0.975 max: 0.983\n",
"Cross class: 0.886±0.106 min: 0.699 max: 0.982\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.202356316486\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at -0.047185\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.306±0.114 min: 0.0385 max: 0.475\n",
"Cross class: -1.02±0.869 min: -2.71 max: 0.376\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.132179963742\n",
"EER: 0.1 th: 0.16202359180434342\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"entries = [value for entry in data.values() for value in entry if value['info']['meta'] == 'interleaved-25-07-02-01-p0.3']\n",
"group_baseline = [value for value in entries if not value['info']['mods']]\n",
"group_modified = [value for value in entries if value['info']['mods']]\n",
"\n",
"print(set(value['info']['serial'] for value in group_baseline))\n",
"\n",
"smooth = None\n",
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', smooth=smooth)\n",
"#plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='corr', smooth=smooth)\n",
"#plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='max', smooth=smooth)\n",
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='max', smooth=None, plot_cdf=True)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "3e0f0a08-205f-4621-a366-9f80b88ed5ce",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace']]\n",
"{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.991740\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.995±0.00115 min: 0.991 max: 0.997\n",
"Cross class: 0.926±0.0893 min: 0.783 max: 0.996\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.231220998491\n",
"EER: 0.16842105263157894 th: 0.9943917901819603\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.447921\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.734±0.0925 min: 0.486 max: 0.847\n",
"Cross class: -0.0231±0.645 min: -1.28 max: 0.785\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.232487050396\n",
"EER: 0.23157894736842105 th: 0.6595285800360724\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"entries = [value for entry in data.values() for value in entry if value['info']['meta'] == 'interleaved-25-07-02-02-p0.3']\n",
"group_baseline = [value for value in entries if not value['info']['mods']]\n",
"group_modified = [value for value in entries if value['info']['mods']]\n",
"print([value['info']['mods'] for value in group_modified])\n",
"print(set(value['info']['serial'] for value in group_baseline))\n",
"\n",
"smooth = None\n",
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', fig_out='short_within_0.3', plot_cdf=True, smooth=smooth)\n",
"#plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='corr', smooth=smooth)\n",
"#plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='max', smooth=smooth)\n",
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='max', smooth=smooth, plot_cdf=True, fig_out='short_within_0.3_min_max', do_lines=True)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "72805716-cee3-4a1b-94c8-d810756b8c18",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tdp0604 tdp0604\n",
"[['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace']]\n",
"{10}\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.994850\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.996±0.000496 min: 0.995 max: 0.998\n",
"Cross class: 0.925±0.0896 min: 0.783 max: 0.996\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.218796775409\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.723555\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.834±0.0358 min: 0.717 max: 0.886\n",
"Cross class: 0.0832±0.499 min: -0.843 max: 0.775\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.099837794942\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"entries = [value for entry in data.values() for value in entry if value['info']['meta'] == 'interleaved-25-07-02-02-p0.3']\n",
"entries_repeat = [value for entry in data.values() for value in entry if value['info']['meta'] == 'baseline-repeat-25-07-02-01-p0.3']\n",
"print(entries[0]['info']['chip'], entries_repeat[0]['info']['chip'])\n",
"group_baseline = [value for value in entries_repeat if not value['info']['mods']][:10]\n",
"group_modified = [value for value in entries if value['info']['mods']]\n",
"print([value['info']['mods'] for value in group_modified])\n",
"print(set(value['info']['serial'] for value in group_baseline))\n",
"\n",
"smooth = None\n",
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', smooth=smooth)\n",
"#plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='corr', smooth=smooth)\n",
"#plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='max', smooth=smooth) \n",
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='max', smooth=smooth)"
]
},
{
"cell_type": "code",
"execution_count": 86,
"id": "165344df-8bb0-4ed9-8aa8-c99499a39b81",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tdp0604 tdp0604\n",
"[['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace']]\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.994850\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.996±0.000496 min: 0.995 max: 0.998\n",
"Cross class: 0.925±0.0896 min: 0.783 max: 0.996\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.218796775409\n",
"EER: 0.08256880733944955 th: 0.9948339629072368\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.723555\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.834±0.0358 min: 0.717 max: 0.886\n",
"Cross class: 0.0832±0.499 min: -0.843 max: 0.775\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.099837794942\n",
"EER: 0.034042553191489355 th: 0.7515290358358554\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"entries = [value for entry in data.values() for value in entry if value['info']['meta'] == 'interleaved-25-07-02-02-p0.3']\n",
"entries_repeat = [value for entry in data.values() for value in entry if value['info']['meta'] == 'baseline-repeat-25-07-02-01-p0.3']\n",
"print(entries[0]['info']['chip'], entries_repeat[0]['info']['chip'])\n",
"group_baseline = [value for value in entries_repeat if not value['info']['mods']][:10]\n",
"group_modified = [value for value in entries if value['info']['mods']]\n",
"print([value['info']['mods'] for value in group_modified])\n",
"\n",
"smooth = None\n",
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, do_lines=True)\n",
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='max', smooth=smooth, plot_cdf=True, do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "97c6d52c-1a91-49f6-8392-047938a3593c",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we detect when a trace is probed using an oscilloscope probe?\n",
"\n",
"* probed with rigol PVP3150 probe, connected to running Rigol DS1054Z scope. probe grounded using ground clip to mesh specimen board ground area\n",
"* baseline also measured with ground clip connected to exclude grounding as the measured effect"
]
},
{
"cell_type": "markdown",
"id": "a995e3b3-02d9-48dd-8044-69f9761c3b84",
"metadata": {},
"source": [
"### Pitch 0.3 mm"
]
},
{
"cell_type": "code",
"execution_count": 87,
"id": "10bf6e6d-598c-4e4d-942d-e7db92986c95",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"pi3hdx12211\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.972987\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.979±0.00182 min: 0.975 max: 0.983\n",
"Cross class: 0.944±0.00617 min: 0.934 max: 0.96\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000001501477\n",
"EER: 0.0 th: 0.9747796526628734\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 87,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"group_baseline = [value for value in data['M-SP-PITCH-V2-0010-0.3'] if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3'][:12]\n",
"group_probed = [value for entries in data.values() for value in entries if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3' and 'probe_points' in value['info']['mods']]\n",
"print(group_baseline[0]['info']['chip'])\n",
"\n",
"smooth = None\n",
"plot_vector_covar(group_baseline, group_probed, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='probe_0.3', do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "4cbea4c5-e53b-446a-a14a-0dd9da9acca0",
"metadata": {},
"source": [
"### Pitch 0.4 mm"
]
},
{
"cell_type": "code",
"execution_count": 88,
"id": "000d8897-a36d-4000-a86c-291d5ac6c34c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.963759\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.972±0.00261 min: 0.965 max: 0.976\n",
"Cross class: 0.93±0.00368 min: 0.919 max: 0.937\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n",
"EER: 0.0 th: 0.9640827677501544\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 88,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_baseline = [value for value in data['M-SP-PITCH-V2-0010-0.4'] if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.4'][:12]\n",
"group_probed = [value for entries in data.values() for value in entries if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.4' and 'probe_points' in value['info']['mods']]\n",
"\n",
"smooth = None\n",
"plot_vector_covar(group_baseline, group_probed, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='probe_0.4', do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "c85437f3-2a9c-44e4-b4b7-5b48c4551bc3",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we detect when the mesh is touched?"
]
},
{
"cell_type": "code",
"execution_count": 89,
"id": "a91c74ef-31c5-415d-a868-c5d64e095848",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.981066\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.00094 min: 0.982 max: 0.986\n",
"Cross class: 0.924±0.0132 min: 0.89 max: 0.948\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000007289617\n",
"EER: 0.0 th: 0.9811027642073021\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 89,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_baseline = [value for value in data['M-SP-PITCH-V2-0004-0.3'] if value['info']['meta'] == 'touch-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
"group_touch = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'touch-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
"\n",
"smooth = None\n",
"plot_vector_covar(group_baseline, group_touch, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='touch_mesh', do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "ca721bcb-8b6f-4066-b685-1c3bcb14c29f",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Is our circuit sensitive to grounding? Would we detect if the mesh ground is touched?"
]
},
{
"cell_type": "code",
"execution_count": 90,
"id": "9c393d8d-9733-4001-9cee-8fef171e8d40",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.981497\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.000888 min: 0.982 max: 0.986\n",
"Cross class: 0.982±0.000887 min: 0.981 max: 0.985\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.833350961269\n",
"EER: 0.1676190476190476 th: 0.9831607423686642\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 90,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_baseline = [value for value in data['M-SP-PITCH-V2-0004-0.3'] if value['info']['meta'] == 'touch-ground-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
"group_touch = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'touch-ground-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
"\n",
"smooth = None\n",
"plot_vector_covar(group_baseline, group_touch, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='touch_ground', do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "94017b41-28af-4697-93ea-0fc4a9aa032d",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Compare the two above cases."
]
},
{
"cell_type": "code",
"execution_count": 131,
"id": "49058b85-96bc-469a-b3d5-fe98f28b132f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978979\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.00136 min: 0.98 max: 0.986\n",
"Cross class: 0.926±0.0136 min: 0.89 max: 0.953\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000042953295\n",
"EER: 0.0 th: 0.9791645861772819\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 350x350 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 131,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 350x350 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# touch group: touched with one or more fingers directly to the mesh surface\n",
"# ground group: ground plane of mesh specimen board firmly touched, but mesh not touched directly\n",
"group_baseline = [value for value in data['M-SP-PITCH-V2-0004-0.3'] if value['info']['meta'] == 'touch-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
"group_touch_ground = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'touch-ground-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
"group_touch = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'touch-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
"\n",
"batchlabels = ([5, 15, 25], ['Baseline', 'Ground touched', 'Mesh touched'])\n",
"smooth = None\n",
"plot_vector_covar(group_baseline+group_touch_ground, group_touch, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='touch_combined', do_lines=True, figsize=(3.5,3.5), batchlabels=batchlabels, label_placement='x')"
]
},
{
"cell_type": "markdown",
"id": "4d1ef7b7-364e-45a0-b3ca-2bb03607de28",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Do we see a difference when the mesh is heated?\n",
"\n",
"In this experiment, mesh 5 was heated up to 60 ~ 70 Celsius using a hair dryer."
]
},
{
"cell_type": "code",
"execution_count": 122,
"id": "c93504ec-b1a3-4e80-b98e-64a0df0e3698",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.980069\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.983±0.000806 min: 0.981 max: 0.984\n",
"Cross class: 0.965±0.0058 min: 0.946 max: 0.972\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.005675672795\n",
"EER: 0.0 th: 0.9805802709390348\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 122,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_baseline = [value for value in data['M-SP-PITCH-V2-0004-0.3'] if value['info']['meta'] == 'hot-mesh-hot-serial-5-25-07-02-01-p0.3'][:10]\n",
"group_hot = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'hot-mesh-hot-serial-5-25-07-02-01-p0.3'][:10]\n",
"\n",
"smooth = None\n",
"plot_vector_covar(group_baseline, group_hot, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='hot_mesh', do_lines=True, label_placement='x')"
]
},
{
"cell_type": "markdown",
"id": "2c4a4369-3735-44c8-9ffb-34940c3f3fcc",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## How much do our measurements drift with time?\n",
"\n",
"Two measurement series were taken approximately 2h30 apart. Note that we could not precisely control temperature during this time, meaning some drift due to a degree or two of temperature difference would be expected."
]
},
{
"cell_type": "code",
"execution_count": 93,
"id": "15971dbc-25bb-4ea7-9e77-417a4e56ce8e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2025-07-02T14:12:06.264Z\n",
"2025-07-02T16:44:21.617Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.973546\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.979±0.00174 min: 0.975 max: 0.983\n",
"Cross class: 0.98±0.00134 min: 0.976 max: 0.983\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999998395762\n",
"EER: 0.6029850746268657 th: 0.9795569289147479\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.160074\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.418±0.0836 min: 0.208 max: 0.539\n",
"Cross class: 0.39±0.0899 min: 0.105 max: 0.539\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.994771050513\n",
"EER: 0.4235294117647059 th: 0.42234734134839336\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 93,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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q8j0HooglzjQiJkq+m74bblJfphjlzN+BftqHRK0xPdE1sJ//5O8U21BrJX93445iG3PAg1kAAn4g4JMf0t8a8pK2S8noptaYpmZCa4izlaYY2q+sltBf73Xl9xeg1awe8kRas5pPze7FIyLG1MCX70U4EDGmAs6sFuNAxJgKBEHmplceETHGHgo+NRPhQMSYCoRAAIKWT81GcCBiTA2EJ71OJRyIGFODIMicmvHle8bYQ8BlQMQ4EDGmhoAf0PqlX5tixh2IYmJ1iDHKd5M0h1azmvJNYDDS6i7/KHc6qR2lxjRAy5gGgBP/5deKbf7h0gZSXzNTYxTb6BOG6y573AHcGZKf5IyJo33cSv0AgCGKlgodTdzmv1+nZd/P/RsTqZ3fozzPEjs9itTXkEs5a/r2nQgzq/mqmQiPiBhTA09Wi3AgYkwFQjAAIShx+V5i/WTGgYgxNQgyIyI+NWOMPRQ8RyTCgYgxNQQCgEbqqtnUOzUj16xmjE2gkRGR1DIG9fX1SEtLg8lkQlZWFk6fPi3bft++fcjMzITZbMa8efNw9OhR0es+nw/bt29HRkYGTCYTnnjiCXz++efj3m44HIgYU8PIVTOpJULHjx/Hpk2b8Oabb6K9vR3Lli1DUVERHA5H2PYNDQ2oqqrCtm3b8Oc//xlvvfUWfvazn+G3v/1tqE11dTX279+P999/HxcuXEBZWRlWrVqF9vb2MW9XCgcixtQQ9MsvEaqrq8O6deuwfv16ZGZmYu/evbDZbGhoaAjb/tixY9i4cSNKSkqQnp6O1atXY926ddi1a5eozZYtW7BixQqkp6fjlVdeQWFhIfbs2TPm7UoZ9xyR3qBVTG4zxdI2YyYkv5n6aYljGg2tHGtGdgKtP2J5V0qy4q7/cJDU19a4V5QbmYeTRVMz4+BJmibbVG+gfe9QSqNSyskCQPxMWgKiPuo2qR01CdF7R3mexUgsOzstWfkYXIO0MrwhhDyi+x9iKvUkHa/Xi7a2NlRWVorWFxQUoLW1NewmPB4PTCbxcZnNZtjtdvh8PhgMBsk2X3755Zi3K4VHRIypgTBHZLPZRA81ra2tDdtVb28vAoEArFaraL3VaoXT6Qz7M4WFhTh06BDa2togCALOnTuHxsZG+Hw+9Pb2htrU1dXh0qVLCAaDaGlpwWeffYbu7u4xb1cKXzVjTA2Ey/ednZ2wWCyh1UrPFbz/LEAQBMkzg5qaGjidTuTm5kIQBFitVqxduxa7d++GTjd8G9V7772HDRs2YP78+dBoNMjIyMDLL7+Mjz76aMzblcIjIsbUEAzIzBENn1ZaLBbRIhWIEhMTodPpRo1Cenp6Ro1WRpjNZjQ2NmJoaAjXrl2Dw+FAamoq4uLikJiYCABISkrCp59+isHBQXz77bf45ptvEBsbi7S0tDFvVwoHIsZUoAkKskskoqKikJWVhZaWFtH6lpYW5Ofny/6swWDAnDlzoNPp0NTUhJUrV0J737OYTCYTHnvsMfj9fpw4cQLPPffcuLd7Pz41Y0wVcvlCkV++r6ioQGlpKbKzs5GXl4cDBw7A4XCgrKwMAFBVVYWurq5QrlBHRwfsdjtycnJw8+ZN1NXV4fz58zhy5Eioz6+++gpdXV148skn0dXVhW3btiEYDOKNN94gb5eKAxFjagj6pZ8qOYbL9yUlJejr68P27dvR3d2NBQsWoLm5GXPnzgUAdHd3i3J7AoEA9uzZg4sXL8JgMGD58uVobW1FampqqI3b7UZ1dTWuXLmC2NhYrFixAseOHcO0adPI26XiQMSYCjRCEBqJEZHUeiXl5eUoLy8P+9rhw4dF/87MzBQlJobzzDPP4MKFC+PaLhUHIsbUwDe9inAgYkwFGiEAjRA+6VJq/WQ27kDkdQfgEeQvvg3eomWdGozKF/GcVwdJfVEfhEDNEP7uxh1SO0p5V1LGNIC3Zimnyc/SAxsB/OXfXOh3fCfbllreddoM5exlLTHTnPp5eQiZ0MPbJTUj3a7lHhwg9UUpdzvgjrRULD/F4148ImJMBQ9ijuhRxoGIMTUIgvTIh0dEjLGHQSP4oRHCn95qBH6cEGPsIdAIAjQSIx+p9ZMZByLG1MCX70U4EDGmAq0QgFbiarOWL98zxh4O4e4i9drUwoGIMRVoIEAjEXCk1k9m4w5E0cnpiDHJJ8AZk+QLOoV2Zppyu+hkWoJc1HRaiVINMaHRHPCQ2o08i16+s2hSX7MIn07icA0rxCbbFNvqDbRjjZlmUGxDLXwlECdeDW7avIhpJu13iTLNonXTToFM0TrFNr47tN+P0Lb51ExEI1B/U+7jcrkQHx+P/v5+URU5xqYi6t/DSLvnf/SfYdCF/6bxBfw40XFqSv1tjXtE9Lt//DmijfIjoplW4rcYISTeuO4m9ZX8GG1EJPG7MEqAmNrhIXzLpmbGkfr6y7+5FNvEJtuQvfFNnLgpoFdh0+5XXyZtV69T/iASLcqjBAAYuEMb6bi9tO/DGcTtGvTKI7Yg8TvYTLj1aMgTWfF8PjUTG3cguvntX+AxyHcT7SecroA2jO+7MkTqK06gnf7oiKcrAR/tl+POkHIgUnraxgile8fu1RsAnArBcvCbDlJfUXrlYxUSaAHBNUgLRIMe2vsbJG43ivC5UgNRjFl5m3d8kSUhDp+ahd/HqXhqxpPVjKlCekTEV81keDweeDzfT8jd/8wlxhid5u4i9dpUQy6eX1tbK3rGks2mfJWGMRaeRiPILlMNORBVVVWhv78/tHR2dj7I/WJsUtMiKLtMNeRTM6nH3TLGIsdXzcR4spoxFfAckRgHIsZUoNMEodOEPwWTWj+ZjTsQxUTrEB0ln2dx6ztasld8gvKtBTExtDwSai1qEyFHBABuDdGOIYZQ31hvoE3NUWpMj9y24X71ZcU8oZjm/0vabvTqJYpt/AHa6cPc2cr1rwGg00n8HYmjfV4URkKiIgAYCDlJWmJC5ggeEYnxiIgxFchdHZuKV804EDGmAp1GgE4i4Eitn8w4EDGmAo1meJF6barhQMSYCrQQoJW4TC+1fjLjQMSYCrRaQCcxV66denGIAxFjauCrZmLkWzwYYxNHqxFkl7Gor69HWloaTCYTsrKycPr0adn2+/btQ2ZmJsxmM+bNm4ejR4+OarN3717MmzcPZrMZNpsNmzdvhtv9fU2wbdu2QaPRiJZZs2ZFvO88ImJMBRM9WX38+HFs2rQJ9fX1WLJkCfbv34+ioiJcuHABKSkpo9o3NDSgqqoKBw8exOLFi2G327FhwwYkJCSguLgYAPDJJ5+gsrISjY2NyM/PR0dHB9auXQsAePfdd0N9Pf744zh16lTo3zpd5LleHIgYU4FOZo6IUCBzlLq6Oqxbtw7r168HMDySOXnyJBoaGlBbWzuq/bFjx7Bx40aUlJQAANLT03H27Fns2rUrFIjOnDmDJUuW4MUXXwQApKamYs2aNbDb7aK+9Hr9mEZBoj7G9dMADAYtDAqZwglJtOxaShVE6rdFArHIupdYQJ2aqU2p0Oj30VL4p81Qft9GCt3rdYJiZUVKxjQADDUpZ2DPeGkZqa+/fucjtTMbae+vxUL7lR2ifA7+iZsV9kXYl1YzvEi9Boyu+SV147nX60VbWxsqKytF6wsKCtDa2hp2Gx6PByaTuJyy2WyG3W6Hz+eDwWDA0qVL8fHHH8Nut+Ppp5/GlStX0NzcjJdeekn0c5cuXcLs2bNhNBqRk5ODnTt3Ij09Xe7wRx9zRK0ZYxNi5NRMagEAm80mqgEWbmQDAL29vQgEArBaraL1VqsVTqcz7M8UFhbi0KFDaGtrgyAIOHfuHBobG+Hz+dDb2wsAWL16Nd5++20sXboUBoMBGRkZWL58uSjg5eTk4OjRozh58iQOHjwIp9OJ/Px89PX1RfR+8KkZYyrQawC9xDAgcHfA3NnZKXqKh1IZnvsf8SQIguRjn2pqauB0OpGbmwtBEGC1WrF27Vrs3r07NMfzxRdfYMeOHaivr0dOTg4uX76M1157DcnJyaipqQEAFBUVhfpcuHAh8vLykJGRgSNHjqCiokJ2f+/FIyLGVEAZEVksFtEiFYgSExOh0+lGjX56enpGjZJGmM1mNDY2YmhoCNeuXYPD4UBqairi4uKQmJgIYDhYlZaWYv369Vi4cCFWrVqFnTt3ora2FsFg+OmFmJgYLFy4EJcuXYro/eBAxJgKNJrv54nuXyK9ahYVFYWsrCy0tLSI1re0tCA/P1/2Zw0GA+bMmQOdToempiasXLkSWu1wWBgaGgr9/widTgdBECSfuOPxePD1118jOTk5omPgUzPGVCB71WwMw4OKigqUlpYiOzsbeXl5OHDgABwOB8rKygAMl3ru6uoK5Qp1dHTAbrcjJycHN2/eRF1dHc6fP48jR46E+iwuLkZdXR0WLVoUOjWrqanBs88+Gzp9e/3111FcXIyUlBT09PTgnXfegcvlGjWhrYQDEWMqoFw1i0RJSQn6+vqwfft2dHd3Y8GCBWhubsbcuXMBAN3d3XA4HKH2gUAAe/bswcWLF2EwGLB8+XK0trYiNTU11Ka6uhoajQbV1dXo6upCUlISiouLsWPHjlCb69evY82aNejt7UVSUhJyc3Nx9uzZ0HapOBAxpoIHcfd9eXk5ysvLw752+PBh0b8zMzPR3t4u259er8fWrVuxdetWyTZNTU0R72fYbU1IL4yxiOi0Gugkhj5S6yezcQeiQFBAICifzOV1T1wNXj3hmeYAMOiiJdJR+by0Y6CUd6UmR2oJv5Ajl2cTLTrFx0BTy7tSkhX7jsjfxzQi5ZVnSO28xFKr1PduGqHs8G0X7THRJpPyZxrURjaxo9UOL1KvTTU8ImJMBRM9R/So40DEmApG7lSXem2q4UDEmAq0OkDqJnUujMYYeyj41EyMAxFjKuBTMzEORIypQKeVPjXTTb0HvXIgYkwNWo0GWomRj9T6yYwDEWMq4DkiMQ5EjKlAq9NIJmdqg1MvEo07EBlNWpgUsonjCSVPASBAyPzt+6uH1BclwxkA9AplbkcEiVnJ0XHKb2n8TJNiGwBwXh1UbDNSjmHgThCuQfnJhbmzaZ8DpbwrNWPa0fB7Urukl2mlZ5XKEo+wEDKrvR7aZEx0rPJnKnhJXYXwiEiMR0SMqUCjHV6kXptqOBAxpgKtzE2vlHsMJxsORIypgG96FeNAxJgKOKFRjAMRYyp4EIXRHmUciBhTgU6rgU7i8r0uMPUiEQcixlSg1WokJ6V5spox9lDwqZkYByLGVKDTyZyaEcvhTibjDkT9t3zwGeSzjql1huOnK2f+UmtWU2tM375Jq21NTTL79+tuxTb6qNukvjx3AoptDHfrgbu9AgY98p9Dp5OW/ms2Kr/H1BrT1Izpv35Eq4E987/+J1K73l7lDHy/n3YM8YQsbX2E8zo8IhLjERFjKuDL92IciBhTAZ+aiXEgYkwNMveagTOrpXk8Hng83593u1yuB7JDjE0FPEckRo69tbW1iI+PDy02m+1B7hdjk5pGq5FdphpyIKqqqkJ/f39o6ezsfJD7xdikptNoQo+dHrVMwSER+dTMaDTCaDQ+yH1hbMrgekRiU/CQGVPfyOV7qWUs6uvrkZaWBpPJhKysLJw+LZ+btW/fPmRmZsJsNmPevHk4evToqDZ79+7FvHnzYDabYbPZsHnzZrjd4ly5SLcbDl81Y0wFOp30ZXqpxwzJOX78ODZt2oT6+nosWbIE+/fvR1FRES5cuICUlJRR7RsaGlBVVYWDBw9i8eLFsNvt2LBhAxISElBcXAwA+OSTT1BZWYnGxkbk5+ejo6MDa9euBQC8++67Y9qulHEHooTpUYgxyncTa1HOTAWAoQG/Yhu9njaIM0XTPk1qLWpTDO2tmvs3yvWoYwkZ5ACtQJZp5vDp8gyLDsEE+WOOj6O9JxaL8rFSs+WpNaapGdN//qf/TWr3491FpHYURrPy++bXRvYwsok+Naurq8O6deuwfv16AMMjmZMnT6KhoQG1tbWj2h87dgwbN25ESUkJACA9PR1nz57Frl27QoHozJkzWLJkCV588UUAQGpqKtasWQO73T7m7UrhUzPGVEA5NXO5XKLl3vSZe3m9XrS1taGgoEC0vqCgAK2trWF/xuPxwGQSf2mazWbY7Xb4fMO3PS1duhRtbW2hwHPlyhU0Nzfjpz/96Zi3K4UDEWMq0Ok1sgsA2Gw2UcqM1Aijt7cXgUAAVqtVtN5qtcLpdIb9mcLCQhw6dAhtbW0QBAHnzp1DY2MjfD4fent7AQCrV6/G22+/jaVLl8JgMCAjIwPLly9HZWXlmLcrheeIGFMBJaGxs7MTFosltF7pqvX9k9yCIEhOfNfU1MDpdCI3NxeCIMBqtWLt2rXYvXs3dHcnqb744gvs2LED9fX1yMnJweXLl/Haa68hOTkZNTU1Y9quFB4RMaYCSkKjxWIRLVKBKDExETqdbtQopKenZ9RoZYTZbEZjYyOGhoZw7do1OBwOpKamIi4uDomJiQCGg1VpaSnWr1+PhQsXYtWqVdi5cydqa2sRDAbHtF0pHIgYU4H2bqnYcEukFRqjoqKQlZWFlpYW0fqWlhbk5+fL/qzBYMCcOXOg0+nQ1NSElStXQnv3KsnQ0FDo/0fodDoIggBBEMa13fvxqRljKpjoe80qKipQWlqK7Oxs5OXl4cCBA3A4HCgrKwMwfGdEV1dXKFeoo6MDdrsdOTk5uHnzJurq6nD+/HkcOXIk1GdxcTHq6uqwaNGi0KlZTU0Nnn322dDpm9J2qTgQMaYCuXvKxnKvWUlJCfr6+rB9+3Z0d3djwYIFaG5uxty5cwEA3d3dcDgcofaBQAB79uzBxYsXYTAYsHz5crS2tiI1NTXUprq6GhqNBtXV1ejq6kJSUhKKi4uxY8cO8napOBAxpoKJDkQAUF5ejvLy8rCvHT58WPTvzMxMtLe3y/an1+uxdetWbN26dczbpeJAxJgKuDCa2LgDkV6vVcx2NsfSNhNNyMAWgso1oQEgdhotezlArFtMfQyw36OcYesl1KIGgCAhWVe428ag1yDKMDG/wENDyvs3jVDHGQAsxHaUGtMAPWP6D2/8i2KbRdV/S+qLklkdKb7pVYxHRIypgGtWi3EgYkwFWr0GWokn0kitn8w4EDGmAq1meJF6barhQMSYCjQamatmfGrGGHsYtDqNZCkVaomVyYQDEWNqkCuSPwXPzTgQMaYCrVY6JYSaKjKZcCBiTAV8aiY27kAUE69HrEk+aU1HvBxpjFbenQGXj9QXNU1+xmNmUrve63dI7ShlYI3EsrPuwQHFNlr3cPJhUBAQFOSTM41G2letn5DkedulXNYXALyEBE/qNiNBSVZsf6dFsQ0ALPtvykmUbuJxjngQt3g8ynhExJgKOBCJcSBiTAU8RyTGgYgxFWi1MnNEPCJijD0MfGomxoGIMRVotdIlYXlExBh7KLR66ZtbtVPwr3IKHjJj6uNTMzEORIypYKKL5z/qOBAxpgLtPU90DffaVDPuQDTY7wcUqrfGTqOVC/X7lLNTqWU7KX0BwJCLVraV3p9y5ve0ZJNiGwCIjlP+eEzRw++H2ahFjMJ7Y5igUrIAYDLRkl2iiWWC44klZamfP6UdJWMaAE5XKpeddd92Af88jdQfwGVA7scjIsZUwHNEYhyIGFOBTubUjHpv5mTCgYgxFfCISIwDEWMq4McJiXEgYkwFnFktxoGIMRXw44TEOBAxpgK+fC/GgYgxFfCpmdiYA5FwtyzpkFe5ZOjAHVp5V0qx0EHC9gBgwE3bptdNS2gc8tD6u004Vtegl9QX5Rh8dzxwuVwY8nhxxyf/3mi9tHKsPkLZ1iCxepdAO1ToA7Q/Pr82spKscqjlXd23XYptPAPDbQSFcr0jBjw+yVOwAeLv2mSiEajv3H2uX78Om8020fvD2COts7MTc+bMkXzd7XYjLS0NTqdTtp9Zs2bh6tWrMJloWfiPujEHomAwiBs3biAuLi50TutyuWCz2dDZ2QmLxTKhO/qw8DH8MDxqxyAIAm7fvo3Zs2dDqzBadLvd8Hrlh4pRUVFTJggB4zg102q1kpHfYrE8Er88cvgYfhgepWOIj48ntTOZTFMqyFBMwdQpxtgPDQcixpjqJjQQGY1GbN26FUajcSK7faj4GH4YJsMxMLoxT1YzxthE4VMzxpjqOBAxxlTHgYgxpjoORIwx1XEgYoypjgMRY0x1HIgYY6rjQMQYU93/BxNPXzMpF048AAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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PfvQjzJ49G/Pnz8fjjz+O/v5+8XmMuyV07MMI7DbtjDstRdZTn5kmnwrxwXlxKLLPy94UV7r8LfnUf+NvgUqmYsR4/1V7iody7XSmZtlhDzo14wNX5cs/9PbKmtzdPfKpMO+3y9/TO26VfVbJSfJpG/Ykef12u+zf8L6L2uc/poXuheOEPB5P3MtbtmxBdXX1sPDu7m6Ew2G43e64191uNzo7O0es4syZMzh8+DCcTideffVVdHd3o6KiApcuXRL3C/FyjMikpH1C7e3tcLlcQ687NJ66YrHEJ21FUYa9FhOJRGCxWLB7925kZGQAiF7SfeMb38DPfvYzpKSkaJ4HkxCRWQnXmHa5XHFJaDRZWVmw2WzDWj1dXV3DWkcxOTk5mD179lACAoCFCxdCURScO3cOn//85zXrZZ8QkUnFWkJqmx52ux0FBQVobm6Oe725uRlLloz8jL2lS5eio6MDfX19Q6+dOnUKVqsVc+bMEdXLJERkUtKOaT0qKyvxi1/8Ajt37sTJkyfx2GOPoa2tDevXrwcAVFVVYc2aNUPxq1atwvTp07F27VqcOHECb7zxBp544gl861vfEl2KAbwcIzKvBNyiLysrQ09PD7Zu3Qqv14v8/Hw0NTUhNzcXAOD1etHW1jYUn5aWhubmZmzYsAGFhYWYPn06Vq5ciaeeekpcJ5MQkUlZoMAClbljKvvUVFRUoKKiYsR9DQ0Nw15bsGDBsEs4PZiEiEwqESOmjcAkRGRayrVNbf/ExyREZFJWJQyrMvq9JesYOqaNMO4k9Hd/uxBTHNoLfvcJR+LquV1XUTtPHPu/ezpEca8dlf/r4fIMiGML58sWRbfqWJT9jpce1YxJmTEHKPsnfPQPz6Bb8BH4H1krrn9QOGI4dYr8siDDqT2qO+aPEdl7lZ0ln0Lgmip//2culN39eadP+/wDg0EAb4vrBhLXJ3SzWRRlbGtA+nw+ZGRkoLe3VzQQiohGp+f3FIt9YP5XkWwbvR0xGA7h5VP/PeF/o+NuCR3850cNawndWz5PHJuQllCSsS2hqVnaZabMmINby/4JL3+q3PiWkNqCWn8mNVneEroYkLeEFAhbQg55S2ggLH//ixfLWkJNR6UtIX0mS0to3Emot+0jDNq1i/H5ZZMdraPMURlRv3yyq//cWVHcxyfkH9y05Kvi2Fs05uvESJ4NFiOZkBrTHQY6BR/Bp388JS4zGJYloTS7PAl5+2U/bACICP/JGky5Ii6zPyR///1ZU0RxH5/QPv/BMTyex6IosKhcyKjtm0jYMU1kUhaEYVVpDVowyTqmA4FA3DokPp/86adEdONZrm1q+81A3AVTU1ODjIyMoe36NUqI6OayWBTNzQzESaiqqgq9vb1DW3t7eyKPi4g0xDqm1TYzEF+OORwOzcWQiOjm4d0xIjKUFQqsKolGbd9EwiREZFJa/T5m6RMadxI6dXYAziTtYv7CIxusd/oT+aCtjpPyO3Rh4d3K5QtHfhLBSN4+Jb//MH2G7FI2pGPBc8mi9MkD0fL8j6wVjQGauu9Ncf3vLl8pilt560VxmQfek3/+mU7Zh3ppQD6ebIFb/v6f/lA2Tiw3Tfs4A2MYJ8SWEBEZarLcomcSIjIpXo4RkaFsFgU2lUSjtm8iYRIiMimLJbqp7TcDJiEik2LHNBEZS6MlZJaeaSYhIpOyWaKb2n4zYBIiMimrRYFVpfNZbd9EwiREZFLsmCYiQ1kt0U1tvxmMOwldugo4BKPifadkw/EX5MoPqd8nH+oe1jEdQipfx5JKg4Oy+n2XB8Vl9vZqn/90S3Qd7MGIVbQcq3QqBgAsav61KO73JXeKy/yr2fJfztvtsqVgK1enicts+I9uceyMdNlnmjNN+wfSH9J/6cSWEBEZymaNbqPuN0eXEJMQkVnxcoyIDGWFRhK6aUcyPkxCRCbFPiEiMpRF43KMSYiIEkqzY9ok12NMQkQmxY5pIjIU+4SIyFBWiwVWlUyjtm8iGXcSCoUtsAnWDLgckFU1tUc+Yvjw/gvi2HfPyEZX52SKi8S5T+Ufcq5HNro23SX/SLoF71UoHB2xlpocQZpd+xj0LEovHQk9bf9hcZn/fe+D4tj5ztOiuH9r7BeXeTUsf//bLstGA/7xkvZDDgbHsND9ZGkJmaTrioiul2TT3sairq4OeXl5cDqdKCgowKFDh0R/9+abbyIpKQm33367rvqYhIhMymKxaG56NTY2YtOmTdi8eTNaW1tRXFyM0tJStLW1qf5db28v1qxZg7vvvlt3nUxCRCYVuzumtum1bds2lJeXY926dVi4cCFqa2vh8XhQX1+v+ncPP/wwVq1ahaKiIv3nof8wiWhCsAIWlS326/b5fHFbIDDyAz6DwSBaWlpQUlIS93pJSQmOHDky6mH88pe/xEcffYQtW7aM9TSIyIykLSGPx4OMjIyhraamZsTyuru7EQ6H4Xa74153u93o7Owc8W9Onz6N7373u9i9ezeSBE9iHglv0ROZlM1igU3lmst2rU+ovb0dLpdr6HWHQ/1u3fV9SYqijNi/FA6HsWrVKnz/+9/H/Pnz9Rx6HCYhIpMauuxS2Q8ALpcrLgmNJisrCzabbVirp6ura1jrCAD8fj+OHTuG1tZWfPvb3wYARCIRKIqCpKQk7N+/H8uWLdOsl0mIyKRu9GBFu92OgoICNDc34+tf//rQ683Nzbj//vuHxbtcLvzhD3+Ie62urg6/+93v8NJLLyEvL09UL5MQkUklYu5YZWUlVq9ejcLCQhQVFWH79u1oa2vD+vXrAQBVVVU4f/48du3aBavVivz8/Li/z87OhtPpHPa6GiYhIpOSXo7pUVZWhp6eHmzduhVerxf5+floampCbm4uAMDr9WqOGdJr3EkoJVmBQ7CY7dRU2UL3Nqv8nZuSKh8SOjVVNix+2bLp4jJ//Z894tgvLJWVe/A1r7jM99u1p2HMSYvGXAw44e3XXhj+wHuyzwmQL0qvZyrGF5saxLHv3/23orj/l31JXOZ7nfKfxF/OGBDFhcJXNWMGQvqnbdisGh3TY5xGX1FRgYqKihH3NTQ0qP5tdXU1qqurddXHlhCRSSWiJWQEJiEik+IseiIylsYsesHiFhMCkxCRSdlsFthsKn1CEXNkISYhIpOaLOsJMQkRmZTVaoFV5Q6Y2r6JhEmIyKQs0GgJ3bQjGR8mISKTYkuIiAxltUY3tf1mwCREZFJsCV3jzrTAmaR9sh91yd6QOdny9H3H3dniWJ+/QxQ3daZTXKbs+RlRcxdlygJ1TNu441btj29abnRqiwILIoI17DKdYXH9b7drTwMB5E/FAORTMQAg/7e/EcXN/Y72chIxJy/Izz8jTfZdTXFqx/XLHzIzhHfHiMhQWovZj2WheyMwCRGZFOeOEZGhrBojpq0q+yYScRIKBAJxq/T7fL6EHBARyUyWPiFxg62mpiZuxX6Px5PI4yIiDRarRXMzA3ESqqqqQm9v79DW3t6eyOMiIg2JePihEcSXYw6HQ/NRIUR081igcXfMJBM32DFNZFJWm0W183nSdUwT0cTCaRvXzJ3tRKpdu5hLfu3FvgHg/U+0F82PmffuZXFs1yXZSNinn70gLtOh46L76UffE8Ul6/jXK1kwUj25LzquO9vRj8GUK5rxlwbkDw+oXJ0mivu3xn5xmXoWpZeOhD75k9/J63/ob8Sx06faRXF7j2qPrQ+G9WeM6N0xtcGKuos0BFtCRCbFwYpEZChO2yAiQ9mSLLCpXJLbwkxCRJRAk2XENJMQkUlpjYo2y4hpJiEis+Jzx4jISFaLxsqKJrkeYxIiMimOmCYiQ7FPiIgMxbtj1+w5CtgFI/1X3C6bgZ+UJB/m+cpvtachxOS4ZHHJFvny9bfNkx9rx8WQKK47oB0TY0/SPlarLzpdZSBsQX9I+1u5wC0//4b/6BbFXQ3Lv2bvdcpjpYvS65mK4f3XN8SxH5TcKYoLQfuBAPLl9f+ET9sgIkOxT4iIDMW5Y0RkKHZME5GhtJZwNUkOkq8xTUQTi8WisdD9GG+P1dXVIS8vD06nEwUFBTh06NCosa+88gqWL1+OGTNmwOVyoaioCPv27dNVH5MQkUnFOqbVNr0aGxuxadMmbN68Ga2trSguLkZpaSna2tpGjH/jjTewfPlyNDU1oaWlBV/5yldw3333obW1VVwnL8eIzErrsT5juB7btm0bysvLsW7dOgBAbW0t9u3bh/r6etTU1AyLr62tjfv/H/7wh9izZw/27t2LxYsXi+pkS4jIpGJrTKttegSDQbS0tKCkpCTu9ZKSEhw5ckRURiQSgd/vx7Rp08T1siVEZFLSu2PXPy15tMd3dXd3IxwOw+12x73udrvR2dkpOqaf/OQnuHLlClauXCmKB9gSIjKt2LQNtQ0APB5P3NOTR7qsii83PrEpiiLq5H7hhRdQXV2NxsZGZGdni89j3C2honlBpCRrD/X/v49lA9Ov6Ji2MH+m/Jq3Q/gQh6wp8gH0mS6nvH7htI2CBbInOACA3a79b0hmbvQYixenwJ81RTP+9Ieyp6IAwIx02RSPtsvyJ6j85YwBcWxGmuzfUOlTMQD5VAwAmLb/sCgu9WtLNGMCYdn3489Zk6ywqkxziu1rb2+Hy/WneUujPcQ0KysLNpttWKunq6trWOvoeo2NjSgvL8eLL76Ir371q9JTiB6nrmgimjCkfUIulytuGy0J2e12FBQUoLm5Oe715uZmLFkyeiJ94YUX8OCDD+JXv/oVVqxYofs82CdEZFKJeAx0ZWUlVq9ejcLCQhQVFWH79u1oa2vD+vXrAQBVVVU4f/48du3aBSCagNasWYNnnnkGX/rSl4ZaUSkpKcjIyBDVySREZFKJmDtWVlaGnp4ebN26FV6vF/n5+WhqakJubi4AwOv1xo0Zev755xEKhfDII4/gkUceGXr9m9/8JhoaGkR1MgkRmVSi5o5VVFSgoqJixH3XJ5YDBw6MqY4/xyREZFKazx0TPCZ8ImASIjKp6OWYWkvoJh7MODAJEZkUl/IgIkNxjWkiMpRFY43pz0xL6MKlEByCUgaFA5H9QcGq+dfceZd8ktzLey6K4s75ZQvyA8CMi4Pi2BSH7AvRd0U+YrtPUH9/ShAA0HQ0go9PaI9wzk2T158zTfZZ/fGS/D0NheUjtlOcsk6PvUfli/dLFqWPkYyEBgDna4LJn34fMD9TXDdwbSkPlc5nrjFNRAnFPiEiMpTWch16l/IwCpMQkUmxJUREhmISIiJDccQ0ERmKLSEiMhSfwEpEhoo9d0xtvxkwCRGZ1Ge+T0hRousGB8KyEbaDwkGrwbB8PeK+AfmIZekavsGwfMR2f0i+LvBASPYG9A/Kz19S5tVgED6fD4HBIAYF74GetY77Q7JjldQbM6DjPe0XfvzBsPy6RD5eXMd75fdphgT6ojGx35Wo2P5B1ZaQX/oGGcyi6DnrP3Pu3Dl4PJ4bfTxEn2nt7e2YM2eOaszAwADy8vJEj+GZOXMmzp49C6dT/lCGm23MSSgSiaCjowPp6elD154+nw8ej2fY6v5mxnMyB7Ofk6Io8Pv9mDVrFqyCoc4DAwMIBoOacXa7fUInIGAcl2NWq3XUjB1b1X8y4TmZg5nPSbowPAA4nc4Jn1ykTHITj4gmKyYhIjLUDU1CDocDW7ZsGfXhambEczKHyXhOnxVj7pgmIroReDlGRIZiEiIiQzEJEZGhmISIyFBMQkRkKCYhIjIUkxARGYpJiIgM9f8BLwmDzwo3AdUAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = [value for value in data['M-SP-PITCH-V2-0010-0.3'] if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3'][:10]\n",
"group_b = [value for entry in data.values() for value in entry if value['info']['meta'] == 'baseline-repeat-25-07-02-02-p0.3']\n",
"print(group_a[-1]['info']['timestamp'])\n",
"print(group_b[-1]['info']['timestamp'])\n",
"plot_vector_covar(group_a, group_b, vector_method='norm', distance_method='corr', plot_cdf=True, fig_out='time_drift', do_lines=True)\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='time_drift_minmax', do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "b725e461-c144-4092-8b6e-a95b94a5889a",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we distinguish baseline versus modified meshes?\n",
"\n",
"Modifications considered here:\n",
"* Shorted A/B traces\n",
"* One trace cut open\n",
"* Our meshes with probe points for the probing/antenna measurements"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "b431b6fb-2acf-4d52-90ba-6ea754ee1d6c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"short_across_traces 0.3\n",
"10 2025-07-07T11:12:08.214Z\n",
"10 2025-07-07T11:09:39.478Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.976378\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.982±0.00198 min: 0.977 max: 0.986\n",
"Cross class: 0.565±0.0481 min: 0.477 max: 0.666\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n",
"EER: 0.0 th: 0.9724856278409246\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.222156\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.434±0.0686 min: 0.312 max: 0.558\n",
"Cross class: -4±0.303 min: -4.75 max: -3.5\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n",
"EER: 0.0 th: 0.2915482296934595\n",
"short_across_traces 0.4\n",
"10 2025-07-07T11:24:19.057Z\n",
"10 2025-07-07T11:21:55.882Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.961962\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.969±0.00239 min: 0.966 max: 0.974\n",
"Cross class: 0.585±0.0657 min: 0.501 max: 0.761\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000004592\n",
"EER: 0.0 th: 0.9656144972371224\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at -0.044841\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.263±0.0995 min: -0.0456 max: 0.438\n",
"Cross class: -2.6±0.907 min: -4.33 max: -1.5\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.002394140016\n",
"EER: 0.0 th: -0.08129093490444816\n",
"open 0.3\n",
"10 2025-07-07T11:12:08.214Z\n",
"10 2025-07-07T11:14:58.826Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.976378\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.982±0.00198 min: 0.977 max: 0.986\n",
"Cross class: 0.699±0.0452 min: 0.634 max: 0.767\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000415\n",
"EER: 0.0 th: 0.9701882899735962\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.222156\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.434±0.0686 min: 0.312 max: 0.558\n",
"Cross class: -2.66±0.435 min: -3.46 max: -1.73\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000017\n",
"EER: 0.0 th: 0.3114283518396177\n",
"open 0.4\n",
"10 2025-07-07T11:24:19.057Z\n",
"10 2025-07-07T11:26:42.062Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.961962\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.969±0.00239 min: 0.966 max: 0.974\n",
"Cross class: 0.735±0.0434 min: 0.696 max: 0.859\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000089605\n",
"EER: 0.0 th: 0.9617505986759662\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at -0.044841\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.263±0.0995 min: -0.0456 max: 0.438\n",
"Cross class: -1.62±0.282 min: -2.38 max: -1.15\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000011687\n",
"EER: 0.0 th: -0.05437290229507008\n",
"probe_points 0.3\n",
"10 2025-07-07T11:12:08.214Z\n",
"3 2025-07-07T11:15:53.185Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.976378\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.982±0.00198 min: 0.977 max: 0.986\n",
"Cross class: 0.982±0.00166 min: 0.978 max: 0.984\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999354499878\n",
"EER: 0.4133333333333334 th: 0.9822763983433783\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.222156\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.434±0.0686 min: 0.312 max: 0.558\n",
"Cross class: 0.439±0.0676 min: 0.281 max: 0.563\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999333182506\n",
"EER: 0.5393939393939394 th: 0.4468653841422197\n",
"probe_points 0.4\n",
"10 2025-07-07T11:24:19.057Z\n",
"3 2025-07-07T11:17:02.353Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.961962\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.969±0.00239 min: 0.966 max: 0.974\n",
"Cross class: 0.971±0.00242 min: 0.966 max: 0.975\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999848317762\n",
"EER: 0.6333333333333333 th: 0.9697796637264954\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at -0.044841\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.263±0.0995 min: -0.0456 max: 0.438\n",
"Cross class: 0.254±0.0908 min: 0.0437 max: 0.397\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999511411088\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_11621/528344108.py:124: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`). Consider using `matplotlib.pyplot.close()`.\n",
" fig, ax = plt.subplots(figsize=figsize)\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"EER: 0.4923076923076923 th: 0.2817379300134156\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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zPpFIYOvWrXj66afR1dWFOXPmYOPGjVi5cqWoPnZME/mUAQumw0OXAf2O6f3792PdunVobW3F0qVL8eSTT6K2thYnTpzA3LlzR33PXXfdhffffx+7du3C9ddfj+7ubqTT8tUoxEkokUggkfjnMgt9ffKdOolo4hlw7vcZT5/Qtm3bsGrVKqxevRoA0NLSghdeeAE7duxAc3PziPjnn38eL730Ek6ePImrr74aADBv3jytOsUL4jQ3N6OkpGT4iEajWhUR0cQyDOV6AJkGw4XHhY2JCyWTSRw9ehQ1NTU5r9fU1ODw4cOjvue5555DVVUVHn74YVx77bWYP38+1q9fj0HhFtmARhJqampCb2/v8BGLxcSVENHEy3ZMOx0AEI1GcxoQo7VoAKCnpweWZaGsrCzn9bKyMnR1dY36npMnT+Lll1/GG2+8gWeffRYtLS04cOAA7r33XvF9iB/HwuEwwuGwuGAiyi/pt2OxWCxnGI3b77Fh5D7IKaVGvJZl2zYMw8C+fftQUlICIPNI961vfQuPP/44ioqKXO+DHdNEPmVCwXRIQtlzkUhENJavtLQUgUBgRKunu7t7ROsoa9asWbj22muHExAALFiwAEopnD59GjfccIPgPojIl6R9QlKhUAiLFi1Ce3t7zuvt7e1YsmTJqO9ZunQpOjs7MTAwMPzaW2+9BdM0MWfOHFG9F90SOrXguygocG9y2YOyQWBGUL4ous7yldJypdcJAIZgkKZu/daA/FtHyaL0qbmlADKDECVjgCp+/3tx/Qfvf0IUFzj0W3GZKiofp/Pm538iqz8mG1QIAEZI/m869Cf3QYgAcPK2L7vGJC393VKlLSEdjY2NWL58OaqqqrB48WLs3LkTHR0dqK+vB5DpGz5z5gz27t0LAFi2bBkefPBBfO9738OWLVvQ09ODDRs2YOXKlaJHMYCPY0S+lY+v6Ovq6nD27Fls3boV8XgclZWVaGtrQ3l5OQAgHo+jo6NjOH7atGlob2/HmjVrUFVVhRkzZuCuu+7CQw89JK6TSYjIp9weuXQfx7IaGhrQ0NAw6rk9e/aMeO2Tn/zkiEc4HUxCRD4VMBQCDonG6dxkwiRE5FOGkTmczvsBkxCRT+WjY9oLTEJEfuXSEvLLgkJMQkQ+FTCcl7PRWerGS0xCRD5lGgqmQ+ez07nJhEmIyKfYMU1EnjKNzOF03g8uOglNO3YQIcHyroWmbP1Ky2ELk48yIV8KNaUCoriwKR8+r3Ot0vqlnxMAJG33MiPpGwDU4ZYKJVqOVToVAwBu/kW9KO7/Hv+4uMz08/8hjr1myXdEcad2/01cpolicWzzT8tFcb/e/XfXmMFUGvvlK+sCYEuIiDwWMDPHmOf90SXEJETkV3wcIyJPmXBJQpfsSi4OkxCRT7FPiIg8Zbg8jjEJEVFeuXZM++R5jEmIyKfYMU1EnmKfEBF5yjQMmA6ZxuncZHLRSShlhADDfRF305aNbrYgG1kMwHHPpfGWG9BYPD+tMWI6LfyoE7a8/hTcP/dszMzZhZim3BfG11mUXjoS+hP3/qu4zA+e2yyOffeJX4nipp+U35PkM80qXT9PFHfddVNdY84l9Be6Z0uIiDwVDGSOMc9zxDQR5ZNhGGPujJo97wdMQkQ+xW/HiMhbJmA4dUtynBAR5RNbQkTkqYBhIOCQaQLsEyKifDJcHsccH9UmESYhIp/iYEUi8hT7hIjIU3wcO6/yql4UBt2LKRDWZMnXrtcalp4Urh9fGJKXqXOtKeGo/OIp8ptKpROuMddc/SEA4On4Upx8b75rvIr2i+uXLkqvMxXjqhdeEccW/vSgKC768zXiMtMD7p9p1uFnVojiHvtHnWtMKjkI4H/FdQNAwHTpmPZJU4gtISKfYkuIiDzFjmki8pbLLHr4IwcxCRH5VSBgIBBw6BOy/ZGFmISIfIrrCRGRp0zTgOnwDZjTucmESYjIpwy4tIQu2ZVcHCYhIp9iS4iIPGWamcPpvB8wCRH5FFtC5536oAChgHsxRQHZvIW0LU/fpiFfyTspLLcoaInLTFkau20o2Q/E1AF5/QnLfQeRZGkmprLnBZTG33KNf/PzPxHXf82S74jipLtiAPKpGABQufFOUdzff/WquMzgtCJxbFm5+y4aAPCpQztdYxJWGv8trjmD344Rkae40D0ReYpzx4jIU6bLiGnT4dxkIk5CiUQCicQ/lzno6+vLywURkczl0ickbrA1NzejpKRk+IhGo/m8LiJyYZiG6zEera2tqKioQGFhIRYtWoQ//OEPove98sorCAaDuOmmm7TqEyehpqYm9Pb2Dh+xWEyrIiKaWNnlXZ0OXfv378e6deuwceNGHDt2DNXV1aitrUVHR4fj+3p7e7FixQrcdttt+vchDQyHw4hEIjkHEXnHgDH8Ddmoxzgmbmzbtg2rVq3C6tWrsWDBArS0tCAajWLHjh2O77vnnnuwbNkyLF68WLtOn/SfE9FHmQHD9QAy/bcXHhf27V4omUzi6NGjqKmpyXm9pqYGhw8fHvM6nnrqKbz77rvYtGnT+O5jXO8iIs9lp204HQAQjUZz+nObm5tHLa+npweWZaGsrCzn9bKyMnR1dY36nrfffhs/+tGPsG/fPgQFa82P5qK/oi+bmkQ44L7ie2GBrGlo2cIV4aE3GCuZlo1Ell4noHetKeFA6OIief0JQaGlUzMxb9ifwLvWFNf4QOyMuP5Tu/8mipt+8rfiMnUWpZeOhJ737X8Rl6ls+Sj83qeGRHF/Lv6Sa0xm04Ij4rqB7LdjToMVM/+NxWI53SfhcNil3NwylVKj1mNZFpYtW4YtW7Zg/nz3TRTGwnFCRD4lHawo7cMtLS1FIBAY0erp7u4e0ToCgP7+fhw5cgTHjh3DfffdBwCwbRtKKQSDQRw6dAi33nqra71MQkQ+NdHTNkKhEBYtWoT29nZ885vfHH69vb0d3/jGN0bERyIR/OUvf8l5rbW1Fb/73e9w4MABVFRUiOplEiLyqUDQQCDosMa0pf/tWGNjI5YvX46qqiosXrwYO3fuREdHB+rr6wFkhuqcOXMGe/fuhWmaqKyszHn/Nddcg8LCwhGvO2ESIvKpfIyYrqurw9mzZ7F161bE43FUVlaira0N5eXlAIB4PO46ZkgXkxCRT7mNih7viOmGhgY0NDSMem7Pnj2O7928eTM2b96sVR+TEJFfcd8xIvKSabisrOiTGaxMQkQ+deGo6LHO+wGTEJFP5atP6FJjEiLyqctlPaGLTkKWbcAS3K0lHA6vMWoeUPJgS7gvt079affZKtr1C2eXnC/T/WLt85+RkTwHM9HvGm+EQuL6TRSL4lIoEJeZHhh9cuVopIvS60zF0Gk9mAHZ1Etj0H0BQCOdFNc7XD932yAiL7FPiIg8xYXuichT7JgmIk+5LeHqkxzEJETkV4bh0hLyyddjTEJEPsWOaSLyltu2Pj55HmMSIvKpC9eRHuu8HzAJEfkUvx0jIk9x2sZ57yRnoyDgPiw/MCTbmUBp7EKkjIBGrOxfJDCkP3xewjJl0yEKBgflZRruZQ5+OAMAMNM+g7R10jV+6E+7xPU3/7RcFFe6fp64zMPPrBDHlpVPFcVJd8UA5FMxAOC/7n5WFDd//1LXmISVxgvimjPMoAkzOPb1Op2bTNgSIvIp9gkRkaey20A7nfcDJiEin+LcMSLyFL8dIyJPue475nBuMmESIvKpzOOYU0voEl7MRWASIvIpPo4Rkac4WJGIPGW4rDF9xbSEKoKdCAfciwkGZIuNSxeEB/QmCSeFC8iHwxO/eL5O/ZEp8vpTgjJnh0sAANO378Jgyj3+5G1fFtf/691/F8Vdd51sZDMAPPaPOnHspw7tFMX9ufhL4jIli9JnSUZCA0Dkf15xjRnq7wPmTxfXDZxfysOh85lLeRBRXrFPiIg8xWkbROQptoSIyFNMQkTkKY6YJiJPsSVERJ7iLHoi8hT3HSMiT13xfUJKZUb2Ji3ZUGAL/hgxDcPbEdMJa2JHTA+mkujr68Ngv42EYMR00kqL6x9MyWLPJeRlppLyNbYTwmtNpRPiMo20fI1xaf1D/e6jsBMDmZjs75VE/2DKsSXULxkiPwkYSueuL3D69GlEo9GJvh6iK1osFsOcOXMcY4aGhlBRUYGuri7X8mbOnIlTp06hsLBwoi5xwo07Cdm2jc7OThQXFw8/e/b19SEajSIWiyESiUzohXqF9+QPfr8npRT6+/sxe/ZsmIKhzkNDQ0gm3VttoVBoUicg4CIex0zTHDNjRyIRX/4gOOE9+YOf76mkpEQcW1hYOOmTi5RPvsQjossVkxAReWpCk1A4HMamTZsQDocnslhP8Z784XK8pyvFuDumiYgmAh/HiMhTTEJE5CkmISLyFJMQEXmKSYiIPMUkRESeYhIiIk8xCRGRp/4fZGYx1Yzgx1QAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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lHCMislipRaQqAJBOpyfMBcxms1U9lxMnTuCHP/whNm7cqP29TEREFvOcUFQAIJfLTZgLmMlkrllnT08PHMeZtBw8OHHfpL6+Pqxduxb33XcfNmzYoH0d7JoR2cwR7NYw/noikRDtR7R582asX79+0pjOzs7y//f19WHNmjVYuXIldu7cqaz/WpiIiCzmOmNFFaMjlUohlUqJYs+cOYM1a9Zg+fLl+NnPfgbXrayTxUREZDGTt+/7+vqwevVqtLe3Y8eOHTh//nz5tQULFmjVxUREZDGTq+/37NmD48eP4/jx42hra5vwmu4O1BysJrKY58pKFB566CGEYXjNomvKLaIH7xhCU0y+dzGpSbvZgXDmfvlpG8GoaHtX6YzpP2R+IzsBAOF/yGdhu8IdBfsu6szCl38aNbYXx+xmYb0Dghn7of6sfkcwWK1zPaawa0ZksSgGq01gIiKyGFtERGQcW0REZJznqAejvdp/iAcTEZHNHEGLiF0zIooUx4iIyDiOERGRcUxERGSc5zrwFJlG9XotYCIishjHiMbd9cUOJJpj1TgXAEAYyNepOIYzvRvR8QPheyA+fuNNAIBbnaOY5x5Thks3utdZtrHv3+XLQbzfrRbF3bxQ/dCGkr+8IV8+4Wn8WNsWyrZa7Rr4szKmgCJ+Kz80gLHlQKolQRXuzDGt2CIishjHiIjIuNLWraqYWsdERGQx1wM8TxFT+0+cZiIishm7ZkRkHLtmRGScC0GLaFrOZGqYiIgs5rhjRRVT65iIiCxW5zqoUzSJVK/XAiYiIouxRURExnGwetyjG04i5tV+PnMgm0wRRvY4OnM6Pgxs3w0cGb4JJ6+on7jSnTkjqlf6tA1AvmwDANpf+m9R3G8/88/iOq8s/Yw4Fudz4tCBQwfVQQDONN6qjBkNRgDI6ivh7XsiMo5dMyIyzhVsAxLV4uxqYiIishhX3xORcRysJiLjuDEaERnnuo5yDMiGMSILeo9EdD2e68DzFCXCRPT5z38e7e3taGhowMKFC/HAAw+gr69Pux4mIiKLlbpmqhKVNWvW4Oc//zmOHj2K3bt348SJE7j33nu162HXjMhipseIHn/88fL/d3R04Gtf+xruuecejI6Oor5evqf4lBPR8rYCGut8ZZz0zQg1dpOL4g2O6vg69Vb7+DcsGAEA+LPmotgypIz/5MLTonr7Lqp/7iU6G91LZ0x/+KX/FNd5+jNrxLHSWfgA0DpbNrv8TadZGRMWC+LjluiMEeXz+Qlfj8fjiMdlm/9LXLp0Cc8++yxWrVqllYQAds2IrKbTNUun00gmk+WSzWarcg5f/epXMWvWLMybNw+9vb144YUXtOtgIiKymOs5ogIAuVwO/f395ZLJZK5ZZ09PT3l+0vXKwYPvrol74okncOjQIezZswee5+HBBx9EqNkF4BgRkcVcx4Gr6KOXXk8kEkgkEso6N2/ejPXr108a09nZWf7/VCqFVCqFpUuXYtmyZUin09i/fz9WrlypvoBxTERENhMsetXt95QSSyVKLaFCQW+8S5yICoXChMrfP/BFRNPP5F2zAwcO4MCBA7jzzjsxZ84cnDx5Elu2bMHixYu1WkOARq7MZrMTBrrS6bT2iRNRdTmuIypRaGxsxC9/+UvcdddduOWWW/ClL30Jt912G1555RXtu3HiFlEmk0F3d3f53/l8nsmIyDDPUc+c9iJqEn3kIx/BSy+9VJW6xImo2nMOiGjquDEaERnHbUCIyDhujDbu6Fkg5lXjVKIl/ZsQwUqMsXpD+V8lx6nuWaTHp444wwNwr/xdGX+kX3p8+W/4X94oimOlG93rLNvoeOllcWzvL+Qb2F/Y+Zgozmm4oo7xR8THLX+Po27xWNAgYouIyGbvnTk9WUytYyIishi7ZkRknGSeUFTziKqJiYjIYqb3I6oWJiIii7FFRETGueN7Vqtiah0TEZHF2DUjIuPYNSMi45iIiMg4ds3GeU4IT7AkgU/xqP7iEenxPXf82I4LuOr1OPWu7Fx1rl9rcu/5nOz4GgtydJZttN+7Qhyb/0lUi4JkvDoHXp1iGxDF67WALSIii3H1PREZx/2IiMg4DlYTkXGuM1ZUMbWOiYjIYq7nwq2bvO/lerXfN2MiIrIYb98TkXmSxwVZ0DdjIiKyGDdGIyLjeNeMiIzjntXjer71ISRmxZRx9Q2y9mHoy48dBman1/u+/Pg6zeMgkMWp9qEpcZrbAQAfazqFtuZjyvjBIdl1zW6WX1TbQvnDOQcOyZZjtM4WvlGQP20D0Fu2kXjxD6K4O+6/QxkzXCziN+Ijj2GLiIiM4xgRERnnQLDWTPxUP3OYiIgsNlPWmllwikR0PV6dKypRKxQKuP322+E4Dg4fPqz9/UxERBYrtYhUJWpf+cpX0NraWvH3MxERWWws0TiKEu05vPjii9izZw927NhRcR0cIyKymM7t+3w+P+Hr8Xgc8bh8WsW1vPXWW3jkkUfw/PPPo6mpqeJ62CIislhp0auqAEA6nUYymSyXbDY7pWOHYYiHHnoIGzduxIoV8u11r4UtIiKLuYI9q93x13O5HBKJRPnr12sN9fT0YNu2bZPW+ac//Qn79u1DPp9HJpPRPOurTTkR7dhyFHFPXY10SxRfPlk2Ejpbt+icq87kVum2DdLjt95SxL89Cxz7+Cacbh9Uxr/zq92yigeKsjgAXQN/FseeabxVFPem0yyu02m4Io7VIZkxDQDDu9QzsIcH8sDS2VrHdxxB12z8FyqRSExIRNezefNmrF+/ftKYzs5ObN++Hfv3778qoa1YsQJf+MIX8MwzzyiPVcIWEZHFoljikUqlkEqllHE/+MEPsH379vK/+/r68LnPfQ67du3CJz7xCa1jMhERWczkEo/29vYJ/25uHmuhLl68GG1tbVp1MRERWYyLXonIOLfOKQ9GTxYzHTo7Oyt+kCgTEZHFXNeBq2jxqF6vBUxERBZj14yIjJspq++ZiIgspjOPqJYxERFZzBPMrFa9XgsqTkSl0fGCL9tk2hMOphufWa0x6G/LzOqh0RHk83kUhgYxMnxZGT9aHJFVHMpnVhcgjx0NZMcPiwVxnY4vvCZNw0XZdQ0P5JUxhcGxGJ07TwNDo8oW0cDQqLg+U5ywwvttb775JtLpdLXPh+gDL5fLKScEDg8PY9GiRTh37pyozgULFuDUqVNoaGioxilWXcWJKAgC9PX1oaWlpdwHzefzSKfTVy2us91MvC5eU+0JwxADAwNobW2FK5gOPTw8jJERWUsvFovVbBICptA1c133ullburjONjPxunhNtSWZTIpjGxoaajq56LDgxh4RzXRMRERkXFUTUTwex9atW6e8/WStmYnXxWuiWlLxYDURUbWwa0ZExjEREZFxTEREZBwTEREZx0RERMYxERGRcUxERGQcExERGff/hlW/klR5S+YAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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DoXBATU0NGhsb0bNnT0ybNk2/fEREBPIeMihQt27dAADl5eXQarXw9vY2KPf29kZZWVmL65eVlTW7TkNDA8rLy+Hr69viMrrPNXfbrZLZNRROKExyRAQAENrwsNXrr7+OmTNnGszz9/eHszMQFSX+/NJLe7BkSQguX76AxYsXY9u2bfoEAQDOzs7o27evSTE+GBsRPTTe5tZ5cH5bPtecbbeIWyjM3vXr1w+CICA/Px+TJ09uddkePXq0mAx0x9jo0YEIDu6HkJB+cHNzw5QpU6DRaODl5QVAPOWJiYlpdTvLli3DsmXL0KNHDygUCqMWwY0bN4xaDvfz8fFpdh1HR0d079691WV0n2vutlslsxYKX0NhkuvWrRvGjh2LLVu24K7ubdj73L5926TPCw4GGhqAoiJg5MiRGDRoEFavXq0v153ytDbNnTsXAKBSqRAeHo7MB7rnz8zMxPDhw1uMISoqymidw4cPIyIiQn89p6VldJ9r7rZbJbMWCt/lYR3iypUr5OPjQ6GhobR//366cOECaTQa+uijj/R3Sx68baybdL8butvGubm59O9/EyUmEn3xBdHOnemkVqupuLjYrNh0t25TUlJIo9HQ4sWLydXVlQoLC/XLJCQkUFxcnEF9XFxcaMmSJaTRaCglJcXotvHx48dJoVDQ2rVrKT8/n9auXdvibePWtt0ao7s87u5E69eb9T2Ygm8bM6srKSmhBQsWUFBQEKlUKvL396eJEyfSkSNHiEhMKACMpjlz5hCRYUJpbCQ6d45o40ailJRGCg4Opnnz5pkd25YtW/RxDR06lLKysgzKZ8yYQSNHjjSYd/ToUQoLCyOVSkU9e/akpKQko8/dt28fBQcHk1KppJCQEDpw4IDJ226NQUKprydSKIi2bm3z+uZq63ErEP1+ZclCKisr4eHhgYqKCri7u1ty08wO/PwzkJYmdjHZwt1nu6bVapGRkQEAGDdmDBQuLuI99hkzOnS7bT1u+RoKsykDBgDdugE3b1o7EhmQ2Zg8AN/lYTZGpQIWLpRN9x/WpeutTUYXZbmFwmyOIIiDs1dWWjsSK5NhC4UTCrM5RMCnnwLHjlk7EivjFgpj7ScIwKBBwLlz4vMpnRa3UBiTRliY+Af63DlrR2JF9tJCkbSDGMbM0KMHcOYM8NJL4ilQpySzITQAMxLKnj17sHjxYixfvhy5ubkYMWIEYmJicO3atY6Ij7EWvfYaMHAgcOeOtSOxDsEeWigbNmzAyy+/jPj4eAwYMAAffvghAgMDkfRg5xWMdbBRo4CvvgK6dLF2JJYnNDQAJ0+KPzg7WzeY+5j0HIqug5iEhASD+a11EFNXV4e6ujr9z5W6e32ffCKrL4LZpnqtA3acCsbl/7jDz6PpRcTnwi7D270G2Zd8cfZ6d4N1BvvfxIi+pfit0hn7c/sYlKmVWsQPzwcA7DzVHxU1hgNoPfM/VxHUrQo/XfXCqUIvg7J+XhWIHlCEyholdpwKNop13ohzcHAA/pHXG6UVhqcp/xtcjBCf2zhX0g1ZF/0MygK63sWkwQWo1zrg45wBKCuuQLf8fBRWAMLoA5hZ4wBXVyAjAygoMNzm8OHi9abLl407Ae/eHXj+efH/H39sfIH7+efFZY4cAUpKjKrTPFOe579+/ToBoOPHjxvMX716NfXv37/ZdRITE5t9X6NCqSRSqXjiqV1TndKVBgrnSIVag+knx2FEKhUtdvjIqGyJw4dEKhWdcowyKvNBif6zQ4VfjMoPOj5DpFLRasXbRmVxDjuIVCq6ouxvVKZCLTUonYhUKholHDEq+0Ixk0iloo8V84zKnhYOEalUdEfp2TRfqCOVUksqFVFpqXisPfec8Vf0wQdi2T/+YVwWHt50nHp4GJfruu2dN49o1KgOeJenpKQE/v7+OHHiBKJ0vd8AWL16NXbs2IFff/3VaJ3mWiiBgYH8Lg9jZjB4l2fcOCgUCotst63v8ph0ymNOBzFqtRpqtVr/sy5/VXb6xxwZM51Wq0X17xdjKysrLZpQgKbjtyUmJZT7O4j5030jXWdmZmLSpElt+oyqqioAQGBgoCmbZozJQFVVFTw8PFosN/nlwKVLlyIuLg4RERGIiorCJ598gmvXrul7xHoYPz8/FBUVoUuXLub3oykh3SlYUVFRpzkF62x17mz1BaSvMxGhqqoKfn5+rS5nckKJjY3FzZs3sWrVKpSWlmLQoEHIyMhAUFBQm9Z3cHBAQECAqZvtcO7u7p3ml02ns9W5s9UXkLbOrbVMdMzqvmD+/PmYP3++OasyxuwYv8vDGJNMp08oarUaiYmJBnei7F1nq3Nnqy9gvTpbvE9Zxpj96vQtFMaYdDihMMYkwwmFMSYZTiiMMcl0ioRibg9zx48fh6OjIx577LGODbADmFrnuro6LF++HEFBQVCr1ejTpw+2b99uoWjbz9T67tq1C0OGDIGLiwt8fX0xa9Ys3LSRwX6ys7MxYcIE+Pn5QRAEfP311w9dJysrC+Hh4XByckLv3r2xbdu2jgnOlO4LbJFuLNnk5GTSaDS0aNEicnV1patXr7a63u3bt6l3794UHR1NQ4YMsUywEjGnzhMnTqTHH3+cMjMzqaCggH788UejbirkytT65uTkkIODA3300Ud05coVysnJoYEDB9LkyZMtHLl5MjIyaPny5XTgwAECQGlpaa0urxuXedGiRaTRaCg5OdloXGap2H1CiYyMpLlz5xrMCwkJoYSEhFbXi42NpbfffpsSExNtLqGYWueDBw+Sh4cH3bx50xLhSc7U+q5fv5569+5tMG/Tpk0UEBDQYTF2lLYklDfeeEM/QL3OnDlzaNiwYZLHY9enPLoe5qKjow3mt9bDHACkpqbi8uXLSExM7OgQJWdOndPT0xEREYF169bB398f/fv3x1//+lfU1NRYIuR2Mae+w4cPR3FxMTIyMkBE+O2337B//36MHz/eEiFb3A8//GD0/YwdOxanT59GfX29pNuy66FIy8vLodVqjfpq8fb2NurTRefixYtISEhATk4OHB1t7+sxp85XrlzBsWPH4OTkhLS0NJSXl2P+/Pm4deuW7K+jmFPf4cOHY9euXYiNjUVtbS0aGhowceJEbN682RIhW1xZWVmz309DQwPKy8vh6+sr2bbsuoWi82A3CUTUbNcJWq0WL7zwAlauXIn+/ftbKrwO0dY6A0BjYyMEQcCuXbsQGRmJcePGYcOGDfjss89sopUCmFZfjUaDV199FStWrMCZM2dw6NAhFBQUtLkLDlvU3PfT3Pz2sr0/wSYwtYe5qqoqnD59Grm5uXjllVcAiAcbEcHR0RGHDx/G6NGjLRK7uczpVc/X1xf+/v4Gr6cPGDAARITi4mL069evQ2NuD3Pq+/777+OJJ57A66+/DgAYPHgwXF1dMWLECLz33nuS/sWWAx8fn2a/H0dHR3Tv3r2Ftcxj1y2U+3uYu19mZiaGDx9utLy7uzvOnj2LvLw8/TR37lwEBwcjLy8Pjz/+uKVCN5updQaAJ554AiUlJbhz3wA3Fy5ckG3fNfczp77V1dVwcDD81dd1pUh2+GpbVFSU0fdz+PBhREREQKlUSrsxyS/zyozulmJKSgppNBpavHgxubq6UmFhIRERJSQkUFxcXIvr2+JdHlPrXFVVRQEBAfTcc8/RL7/8QllZWdSvXz+Kj4+3VhVMYmp9U1NTydHRkbZu3UqXL1+mY8eOUUREBEVGRlqrCiapqqqi3Nxcys3NJQC0YcMGys3N1d8mf7C+utvGS5YsIY1GQykpKXzbuD22bNlCQUFBpFKpaOjQoZSVlaUvmzFjBo0cObLFdW0xoRCZXuf8/HwaM2YMOTs7U0BAAC1dupSqq6stHLX5TK3vpk2bKDQ0lJydncnX15emT59OxcXFFo7aPEeOHGl2aJoZM2YQUfP1PXr0KIWFhZFKpaKePXtSUlJSh8TG3RcwxiRj19dQGGOWxQmFMSYZTiiMMclwQmGMSYYTCmNMMpxQGGOS4YTCGJMMJxTGmGQ4oTDGJMMJhTEmGU4ojDHJcEJhjEnm/wGn6MARR7OZewAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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mc3NG79hcwiBEZFcqBiR0Fj2YyI1kJQYhIrvi5RgRWUlTCWg6gUbv2FzCIERkV+wJEZGVNBWHpqae4a53bC6ZcRByuJxwuIyToyeESzukCenNktabiJh440y8Vmn7kqUYSQuWLzYsk3P+HU5kuZHIzjUsHzORcD2quUTllJL/nhImvjhKcD4AEIUsIf/4C5AtBQFMJLpfuMC4rul8EzlPiIisxDEhIrLWBXmkpzxuAwxCRDbFnhARWWp8YHrqMbzLZmCaiCzCW/REZCUNCppOuj69Y3MJgxCRTXFMiIgspqCfuJg9ISLKIIeKw6EzMO24XAamzz3bjoQrx7igMCk5NBPPYzQzDyJLNrtXi3wkrlIz0X7CZTxrFhhPSC91JsttWGbhyqXA4/di3U9/iBLBZ7Ky8wFx+y9pd4jKfd+9X1yn9IF5APDum8aJ+wHg6s9eJ66z58iQuGxUmCnjHZ/xwwvCY7LP54Xmy5iQpsy86xcIhULIz8/H8PCw6BGzRDQ1M9+nZNlvX/M1ZDun7kdE4zF0vv1/5vx3dMY9oX+79z/gZk/IUCZ6QglBT2j5yqXY+vi96DyjMHjZ9oTkX8CM9IRKv29YJjwm/9wlzZee0IyD0Ml3+5DtNP6Ca7GwrEKH8WLYFBMfWCX4wgKAQ/BsriQzdx/i7jxROcmzwZIkC1KTBuNAv+BLczb4/8R1vu8wfp4WAJzLfU9cp5lnyZ05+aGs/QL5s9wG3vlAXDYs/Lt6cvGwYZloWP7HJ0lTSvcPoZk/klbiwDSRTWmIw6Gzkl/DPBuYDofDCIc/7s2EQqGMvCAiktHOb3rH7UA8ANPc3Iz8/PzU5vP5Mvm6iMiApinDzQ7EQaipqQnDw8OpLRAIZPJ1EZGB5MC03jYdra2tKC4uRk5ODsrKynD48OEpy27atAmapk3YVq9eLW5PHITcbjc8Hk/aRkTWyUQQ2r9/P7Zs2YJHHnkEx44dw7p161BdXQ2/3z9p+WeeeQbBYDC1BQIBLFmyBN/97nfFbZq4H05Ec4kDynAzq6WlBbW1tairq0NJSQl27twJn8+Htra2Scvn5+dj6dKlqe3o0aM4c+YM7rrrLhPnQUS2JB0TCoVCaduFN5guFIlE0Nvbi6qqqrT9VVVV6OnpEb2m3bt342tf+xqKiorE5zHjW/R5ofd1Z20muRCZaVMTJEzEUGlZlyZ/aqWZp+zGw7L5T9ma/LaqJCl93rnxdis7HxDNAXq5/jfi9lv/r+yv3X//+0PiOoeO/Flc9tqT/ykq94ebHxbX+ULLi+KyUv9e96RhmXDc/NNSjXo7yWMX30Tatm0btm/fPqH84OAg4vE4vF5v2n6v14v+/n7D1xMMBvHyyy/jl7/8peDVf4zzhIhsSnqLPhAIpI3hut36E3c1Lb1WpdSEfZPp6OjA4sWL8c1vftOw7IUYhIhsyug2fPKY9EZSQUEBnE7nhF7PwMDAhN7RxZRS2LNnDzZu3AiXy9xiXI4JEdmUU1OGmxkulwtlZWXo7u5O29/d3Y21a9fq/uyhQ4fw7rvvora21vR5sCdEZFOaNr7pHTersbERGzduRHl5OSoqKtDe3g6/34/6+noA4/MF+/r6sHfv3rSf2717N2644QaUlpaabpNBiMimpAPTZtTU1GBoaAg7duxAMBhEaWkpurq6Une7gsHghDlDw8PD6OzsxDPPPGO6PYBBiMi+DHpC01081tDQgIaGhkmPdXR0TNiXn5+Ps2fNZwFIYhAisimnNr7pHbcDBiEim3JoCg6dwWe9Y3MJgxCRTWViYNoKDEJENuXQxje943Yw4yAU17Lg0LINy0WFqSZjgrqSzDzSJKHJlk0olZl3TnpeSsmXt0Q140lhUYyXeUm7Q5SOVboUAwCevu5/isq1e+4V1xkvl19CvH5AlsnhpvJ2cZ1b7/67uGwkLvus+HONb1tHtQiA/xK3DbAnREQWczrGtymP22NIiEGIyK54OUZElnLAIAhdslcyMwxCRDbFMSEispRmcDnGIEREGWU4MG2T6zEGISKb4sA0EVmKY0JEZCmHpsGhE2n0js0lMw5CmkpAE8xczoIskXeWMpFo3kyie5UQlXNrUXGdcROzqzXhjHHp7wmQze52nq/v++79OJf7nmF5M0nppTOh/8dK+YzlU//ruLhs9OUHROUONT4vrvOpPZOnsJiMQ3i988g9fzUsE1YxvCJueRx7QkRkqSzn+Dblcc6YJqJMSj5yWe+4HTAIEdkU744RkbUcgKY3LMp5QkSUSewJEZGlnJoGp06kcXJMiIgySTO4HNO9VJtDGISIbIqTFYnIUhwTIiJL8XIsVUEU2YLHzToz8AwkyXKRVFnhI3EdkC3vGK9U/i4r4bIRM7+nhOD8k+ejlIJKGNc9dOTP4valSenNLMVY/o3Picv+/ZlFwvaPieuMl8nff+mnL1vwjAXBWzOB02EwMG2TrhB7QkQ2xZ4QEVlqvgxM2yRWEtEE2scr6SfbMM0Y1NraiuLiYuTk5KCsrAyHDx/WLR8Oh/HII4+gqKgIbrcbn/70p7Fnzx5xe+wJEdmU06nB6dQZE0qYj0L79+/Hli1b0NraisrKSuzatQvV1dU4ceIEVqxYMenP3H777fjggw+we/dufOYzn8HAwABiMXlKGgYhIpvKRD6hlpYW1NbWoq6uDgCwc+dOvPrqq2hra0Nzc/OE8q+88goOHTqE9957D0uWLAEArFy50lSbvBwjsimHQzPcACAUCqVt4XB40voikQh6e3tRVVWVtr+qqgo9PT2T/sxvfvMblJeX48knn8RVV12Fa665Blu3bsW5c+fE58GeEJFNaTDoCZ3/1+fzpe3ftm0btm/fPqH84OAg4vE4vF5v2n6v14v+/v5J23jvvfdw5MgR5OTk4MCBAxgcHERDQwP+9a9/iceFGISIbOrC3s5UxwEgEAjA4/Gk9rvdbt16L06GppSaMkFaIpGApmnYt28f8vPzAYxf0n3nO9/Bc889h9zcXMPzYBAisimHY3zTOw4AHo8nLQhNpaCgAE6nc0KvZ2BgYELvKKmwsBBXXXVVKgABQElJCZRSOHXqFK6++mrj8zAsQURzknRMSMrlcqGsrAzd3d1p+7u7u7F27dpJf6ayshKnT5/G6Ohoat/bb78Nh8OB5cuXi9qdcU9o+IrPIjtLv3sHAFp4RFSfcmbP9CXNiBabfNBuUg7BfPxUxcJ4H5c/7UNlG3d1lywaHw94980RnDn5oWH5a0/+p7j91w8Y/3UF5E/FAORLMQBg9R9+Kyr3z69+RVznn//bAnHZWFS21uLN0BLDMlET73tSJu6ONTY2YuPGjSgvL0dFRQXa29vh9/tRX18PAGhqakJfXx/27t0LALjjjjvw2GOP4a677sKPfvQjDA4O4sEHH8Tdd98tuhQDeDlGZFuZSHRfU1ODoaEh7NixA8FgEKWlpejq6kJRUREAIBgMwu/3p8ovWrQI3d3d2Lx5M8rLy3HllVfi9ttvx+OPPy5uk0GIyKYytXasoaEBDQ2TP3+to6Njwr5rr712wiWcGQxCRDblMJgx7dA5NpeIg1A4HE6b5BQKhTLygohIZr48gVXcYWtubkZ+fn5qu3gCFBFdWppDM9zsQByEmpqaMDw8nNoCgUAmXxcRGUimd9Xb7EB8OeZ2uw1nWhLRpaPB4O7YdHN5XGIcmCayKYdT0x18nncD00Q0t0iXbcx1Mw5CC8+8g2yncTUuRET1SRPSA0DCxKoTaVm3Jp+5aiY5eUz4q86CPBlUFMazyxeOjr/Iqz/rwbmCKwzL/+Hmh8Xt31TeLip3qPF5cZ1mktJLZ0IX/eGP4jorTt0nLuvMkn2mul/7q2GZcFz+vieN3x3Tm6xoukpLsCdEZFNMdE9ElsrEsg0rMAgR2ZQzS4MzSyfHdJxBiIgyaL7MmGYQIrIpo1nRdpkxzSBEZFcGPSGbzFVkECKyK4dmkGPaJtdjDEJENsUZ00RkKY4JEZGleHcsVUEU2YKlFi5NNi09ouQvKVuLi8smlKxslok642YeVqJk55/tSMjrTBgvMUkuA+k5MoSBdz4wLP9Cy4vi5rfe/XdRuaf2TJ4qdDLxMvn5S5PSm1mK8fjyXeKy8THZe/r+6K2GZaLTWLYhfe7YXMeeEJFNcUyIiCzFtWNEZCkOTBORpYxSuNokBjEIEdmVphn0hGxye4xBiMimODBNRNYyeqyPTa7HGISIbGq+5Ji2ycskootl6uGHra2tKC4uRk5ODsrKynD48OEpyx48eDCV4fHC7R//+Ie4PfaEiGwqE8s29u/fjy1btqC1tRWVlZXYtWsXqqurceLECaxYsWLKn3vrrbfg8XhS///EJz4hbnMWgpAGJUhcIiljphxg7mkXZurNhEy0b+b3Ho0BYfmDREQiwvShZpYPyBfNALGo7AMgfSoGIF+KAQDOHNnXJw6noIyJD/N5jiwHHDrnpndsKi0tLaitrUVdXR0AYOfOnXj11VfR1taG5ubmKX/uk5/8JBYvXmy6PYCXY0S2lRwT0tsAIBQKpW3hcHjS+iKRCHp7e1FVVZW2v6qqCj09PbqvZc2aNSgsLMQtt9yCP/5R/oglgEGIyLaSj4GecjvfC/b5fMjPz09tU/VoBgcHEY/H4fV60/Z7vV709/dP+jOFhYVob29HZ2cnfv3rX2PVqlW45ZZb8Nprr4nPg2NCRDYlXTsWCATSxmvcbrd+vRcNJimlppz4uGrVKqxatSr1/4qKCgQCATz11FO4+eabDc5gHHtCRDYlvTvm8XjStqmCUEFBAZxO54Rez8DAwITekZ4bb7wR77zzjrg8gxCRTSWfO6a3meFyuVBWVobu7u60/d3d3Vi7dq24nmPHjqGwsFBcnpdjRDY1fjmmt4refJ2NjY3YuHEjysvLUVFRgfb2dvj9ftTX1wMAmpqa0NfXh7179wIYv3u2cuVKrF69GpFIBL/4xS/Q2dmJzs5OcZsMQkQ2lYlUHjU1NRgaGsKOHTsQDAZRWlqKrq4uFBUVAQCCwSD8fn+qfCQSwdatW9HX14fc3FysXr0av/vd73DrrcbZJJMYhIhsKlM5phsaGtDQMHlK3o6OjrT/P/TQQ3jooYem19B5DEJENqUZ5Ji+bJKaRdfXA27jhOPnRj8S1edwucRtq7h8fq0zR/+2ZNLIhyFxnWZWKWctWiRrf3RUXudC4997ePliAMA7pd/HycXDhuX/ve5Jcfv+3FJRuUfu+au4zmzjycUpb4aWiMp1vyZvX5KUPkkyExoASv74smGZsZEQcM1icdvA+VQeOoPPTOVBRBnF9K5EZKn5ksqDQYjIptgTIiJLMQgRkaWMZkWbnTFtFQYhIptiT4iILMUnsBKRpfjcMSKy1GU/JqTUeE7caOSsqHxMWM4BeY5fMzOmE5qsbDRyTlynmRnTKizrG8dMtK8E7154LHs8pefYR4iGjd+DcFz++49qEVG5sJLXaSZveDQuS5pt6pxMlJXmhR4bMZ6FHx4dL5P8XkmMnIvq9oRGzs1yUvEM0ZSZs77AqVOn4PP5Zvv1EF3WAoEAli9frltmbGwMxcXFU6ZcvdDSpUtx8uRJ5OTkzNZLnHXTDkKJRAKnT59GXl5e6tozFArB5/NNSCdpZzwne7D7OSmlMDIygmXLlsEhmOo8NjaGSMS4J+pyueZ0AAJmcDnmcDimjNjJNJLzCc/JHux8Tvn5+eKyOTk5cz64SNnkJh4RzVcMQkRkqVkNQm63G9u2bTN8pIid8JzsYT6e0+Vi2gPTRESzgZdjRGQpBiEishSDEBFZikGIiCzFIERElmIQIiJLMQgRkaUYhIjIUv8fnQg5qMeQfVgAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for mod in ['short_across_traces', 'open', 'probe_points']:\n",
" for pitch in ['0.3', '0.4']:\n",
" print(f'{mod} {pitch}')\n",
" group_a = [value for value in data_runs[f'simple-attack-25-07-07-01-p{pitch}'] if not value['info']['mods']]\n",
" group_b = [value for value in data_runs[f'simple-attack-25-07-07-01-p{pitch}'] if mod in value['info']['mods']]\n",
" if not group_a or not group_b:\n",
" print('(skip)')\n",
" continue\n",
" \n",
" print(len(group_a), group_a[-1]['info']['timestamp'])\n",
" print(len(group_b), group_b[-1]['info']['timestamp'])\n",
" plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out=f'{mod}_p{pitch}', do_lines=True)\n",
" plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'{mod}_p{pitch}_minmax', do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "559e538d-efb6-4500-8f32-757cc8ba6f35",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we distinguish baseline versus patched traces?\n",
"\n",
"Patches are done using small wire loops 3~5 mm in length. This should be quite difficult."
]
},
{
"cell_type": "markdown",
"id": "2f2d23db-3878-4854-bc2e-1f73288c6cb7",
"metadata": {},
"source": [
"### Preliminary experiments"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "3dc56847-7f42-4ca7-b001-f87333ff088a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{5}\n",
"10 2025-07-09T14:51:57.358Z\n",
"10 2025-07-09T14:55:25.582Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.983033\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.987±0.00119 min: 0.984 max: 0.989\n",
"Cross class: 0.95±0.0828 min: 0.699 max: 0.983\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.346782600833\n",
"EER: 0.07787610619469026 th: 0.9830982899836443\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.313374\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.514±0.0649 min: 0.315 max: 0.628\n",
"Cross class: -0.0978±0.813 min: -2.45 max: 0.523\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.306497894003\n",
"EER: 0.12000000000000001 th: 0.4415850066114029\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bYGAgW7hwodI8f39/tnr1arU+P27cOLZ8+fIul2tpaWG2trbsiy++0HjdhYWMxcUx9q9/qX6n0tjGJ0/yQZ8fP1Yrdn2j7nFLNRQj9uTJE6SmpmLJkiXo27evSrmDg0O3vre5uRkHDhwAAJiZmcnnX716FTY2Np1OW7duBQA0NTUhOzsbISEhSt8dEhKC6wJ3MltXV4fm5mY4OTlpvG4PD/5YzpUrXawkN5f3IftsHWIlzieUiFry8vLAGIO/v3+Xy/7xj3/ER4rdngE4d+4cxo8fL38fFBQEExMT1NfXo7W1FT4+PpgxY4a8fNSoUcjJyel0PbKD+tGjR5BKpXB1dVUqd3V1RXl5eZfxamL16tXw8PDAhGeDMGuy7j59+IPDf/kL8Pvfd7KS3FxR338iQwnFiLFnN1FI1Oj78IMPPsC8efOU5nnIeil6JiUlBf7+/rh37x5WrFiBvXv3yhMEAFhZWcFPw46Fno+NMaZWvOqKj4/HiRMncOXKFVhaWnZr3T4+QGYmb0fpsI/a3FwgOFigqPUXnfIYsUGDBkEikeD27dtdLuvs7Aw/Pz+lycrKSmkZT09PDBo0CFOmTMHBgwcRGRmJiooKebkmpzzOzs4wNTVVqRFUVFSo1By6a+fOndi6dSsuXryIYcOGKW2rJuseMQJIS+ukT9rmZt56K/YGWVBCMWpOTk6YOHEi9uzZg9raWpXypxrfW95m3LhxGDp0KLZs2SKfJzvl6WxauHAhAMDc3BwBAQFIS0tT+t60tDQEBQV1Oy6ZHTt2YPPmzUhNTcWo5zqp1XTd9va8+8gOh1G9exdoaeGd14ocnfIYuYSEBAQFBSEwMBCbNm3CsGHD0NLSgrS0NCQmJsprL9XV1Sr/sa2trWHXyW3kK1euREREBFatWgUPDw+NT3liY2Mxd+5cjBo1CmPGjMH+/ftRVFQkTzoAsGbNGpSUlODw4cPyebJ2mpqaGjx8+BA5OTkwNzfHS89qCPHx8Vi3bh2OHz8OHx8f+XbJaknqrlvR4cM8byjkTznJrVv8hUItSLS0cMVJCV021j+lpaVsyZIlzNvbm5mbmzMPDw82depUlp6ezhjjl40BqEzvv/8+Y6z9y8aMMdba2soGDx7MFi1a1O3Y9uzZI49r5MiRLCMjQ6k8KiqKjRs3Tmlee7F6e3vLyzvanri4OI3WrWjTJsYcHBhraeHvFS8bS//wB8Y8Pbv9O9AH6h63Esa0Oyx1VVUV7O3tUVlZ2el/N0IMyY0bfCiOS5f4AGJSqRTnz58HALy5Zw8kZmaAAHcO64q6xy21oRAigFdf5VeF9+9vp/DWLeM43QElFEIEIZEAv/0tcOoUH+hdxryqCpLSUqNJKNQoS4hAoqJ4LcXZua2fFNvCQv7CSBIK1VAIEYijI+98SfHysV1hIZiFhah7uldECYUQAT19ygcLe9bzA+wKCvj9JyIdh+d5lFAIEZC9PVBWBuzfzw8tu/v3wYzkdAeghEKIoGSNs998Azx93Ae2RUV8lDAjQQmFEIHNmcPPcDJPO8K0qQmMEgohpLucnIB33mHIuP5skGQjSijG0VJEiJZt3dKKpv9EosbcA1b9+uk6HK2hGgohvcA96zQG/ucacuZE6zoUraKEQojQamthEhuLv/zfbzHp87XIy9N1QNpDCYUQoW3ZAlRUwHJZIMzNW7Ftm3A9zOm7biUUTcdKIcRofP01sH072Jo1kHq7IDw8D0ePSoymlqJxQunOWCmEGIWMDGD2bGDmTLAPPwQATJx4Hy4uwMcf6zg2LdE4oXzyySeIjo5GTEwMhgwZgk8//RSenp5ITEzsjfgI0V+PHgErVwLjx/MpLAx44w3g0CH5Az0WFq1YtYrh8WM1BgMTAY0uG8vGK1m9erXS/M7GSmlsbERjY6P8fVVVFX+xfz8fwp4QQ1ReDuzezR8rnjKFd3c/YgSweTNgbq6UPZYuZZCNiHrwIFBXp9w7/sSJgJ8fkJMDfPut8mp8ffkYynV1QHKyahjvvcdXd+YMUFysXPbGG/wWmLt3ecdPitzcgPBwHn5Cgur3zpnDHyNIS+P9a6s7RJNGCaU7Y6Vs27YNGzduVC348MNOugknRM+ZmQHz5wPr1wNd3Gci+zNnjDexpKcrlx8/zhNKRgawapVy2Ztv8oRSUwPExqp+99y5PKHs26eaNP70J55Qbt5U/ezo0TyhAO1/76RJPKEcOwacOAGo2y+4Rl1AlpaWwsPDA9evX8eYMWPk87ds2YIjR47gzp07Kp9pr4bi6elJXUASUVPsAnLy5Mkw7XDAHsOgbheQGtVQujNWioWFBSwsLOTvZflLfupDiAhJpVLU1dUB4H/rYkgoQNvx2xGNEorieCVvvfWWfH5aWhqmTZum1ndUV1cD4INCEUIMS3V1Nezt7Tss1/hZHk3HK3meu7s7iouLYWtrK+iQkrogO30rLi4W3embmLcNoO3TFGMM1dXVcHd373Q5jRNKZGQkHj9+jE2bNqGsrAxDhw7F+fPn4e3trdbnTUxMMGDAAE1Xq9fs7OxE+UcJiHvbANo+TXRWM5Hp1tPGixcvxuLFi7vzUUKIiNGzPIQQwVBC6QELCwvExcUpXcUSCzFvG0Db11u0PhQpIUS8qIZCCBEMJRRCiGAooRBCBEMJhRAiGEooAigsLER0dDR8fX1hZWWFgQMHIi4uDk1NTboOTTBbtmxBUFAQrK2t4aDus+x6TKy9DmZmZiIsLAzu7u6QSCQ4ffq0VtdPCUUAd+7cQWtrK/bt24f//ve/2LVrF/bu3YsPn/XaJQZNTU2IiIjAokWLdB1Kj4m518Ha2loMHz4cn3/+uW4CYKRXxMfHM19fX12HIbjk5GRmb2+v6zB6JDAwkC1cuFBpnr+/P1u9erWOIuodANipU6e0uk6qofSSyspKODk56ToM8hxZr4MhISFK8zvrdZCojxJKL8jPz8fu3bvVfgKbaE93eh0k6qOE0okNGzZAIpF0Ot28eVPpM6WlpZg0aRIiIiIQExOjo8jV053tE4vnu85gjBl8dxr6gMY27sTSpUsxc+bMTpfx8fGRvy4tLUVwcLC8nxh9p+n2iUF3eh0k6qOE0glnZ2c4OzurtWxJSQmCg4MREBCA5ORkmJjof+VPk+0TCyF6HSQdo4QigNLSUowfPx5eXl7YuXMnHj58KC9zc3PTYWTCKSoqwpMnT1BUVASpVIqcnBwAgJ+fH2xsbHQbnIZ62uugPqupqUGewjCFBQUFyMnJgZOTE7y8vHo/AK1eUxKp5ORkBqDdSSyioqLa3b709HRdh9Yte/bsYd7e3szc3JyNHDmSZWRk6DokQaSnp7e7n6KiorSyfuq+gBAiGP0/0SeEGAxKKIQQwVBCIYQIhhIKIUQwlFAIIYKhhEIIEQwlFEKIYCihEEIEQwmFECIYSiiEEMFQQiGECIYSCiFEMP8Pm4iLJMGg9swAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = [value for value in data_runs[f'patch-attack-25-07-09-01-p0.3'] if not value['info']['mods']]\n",
"group_b = [value for value in data_runs[f'patch-attack-25-07-09-01-p0.3'] if 'loop_patch' in value['info']['mods']]\n",
"\n",
"print(set(e['info']['serial'] for e in group_a))\n",
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_p0.3', do_lines=True)\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_p0.3_minmax', do_lines=True)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "5cb2fee1-9e4c-42d9-8871-71e94fed8c07",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.982756\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.993±0.00338 min: 0.981 max: 0.998\n",
"Cross class: 0.962±0.0871 min: 0.691 max: 0.996\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.403632674999\n",
"EER: 0.3223134217006999 th: 0.9923087757179392\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = [value for value in data_runs[f'copy-interleave-25-07-11-01-p0.3'] if value['info']['serial'] in [1, 2, 5]]\n",
"group_a = sorted(group_a, key=lambda trace: trace['info']['serial'], reverse=True)\n",
"group_a += [value for value in data_runs[f'patch-attack-25-07-09-01-p0.3'] if not value['info']['mods']]\n",
"group_b = [value for value in data_runs[f'patch-attack-25-07-09-01-p0.3'] if 'loop_patch' in value['info']['mods']]\n",
"\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, do_lines=True, smooth=1e-8)"
]
},
{
"cell_type": "code",
"execution_count": 62,
"id": "73b78819-5a43-471a-ba9a-a80e074768ec",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.050430\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.467±0.135 min: -0.0179 max: 0.651\n",
"Cross class: 0.34±0.291 min: -0.454 max: 0.656\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.840804073508\n",
"EER: 0.4274782608695652 th: 0.48578685197009863\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 62,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = [value for value in data_runs[f'patch-interleave-25-07-11-02-p0.3'] if not value['info']['mods']]\n",
"# specimen 64 has a short somewhere that we weren't able to find.\n",
"group_b = [value for value in data_runs[f'patch-interleave-25-07-11-02-p0.3'] if 'loop_patch' in value['info']['mods'] and value['info']['serial'] != 64]\n",
"\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, do_lines=True, smooth=1e-10, vector_method='min', distance_method='max', fig_out='patch_0.3mm_large_sample_minmax', triangle_delta=False)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "ff523649-f8af-47c0-a2ce-a0433686456f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.985280\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.99±0.00143 min: 0.986 max: 0.993\n",
"Cross class: 0.988±0.0014 min: 0.984 max: 0.99\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.947287927127\n",
"EER: 0.2421818181818182 th: 0.9885775337419679\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.985170\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.99±0.00151 min: 0.985 max: 0.993\n",
"Cross class: 0.985±0.00207 min: 0.979 max: 0.988\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.497008336612\n",
"EER: 0.060802469135802464 th: 0.9877988633902236\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.990168\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.992±0.000474 min: 0.991 max: 0.993\n",
"Cross class: 0.99±0.000725 min: 0.988 max: 0.991\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.212168000058\n",
"EER: 0.0463768115942029 th: 0.9908329311778704\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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r1q1rcv3NDhlYSUkJAaCSkhJDf7RVee01os6diWpqdJ+npqaGkpKSKCkpiWp0nfHHHymsa1fq6OFBd+/e1Si+ffs2ERF5eXnR6tWr632b3NxcAkCZmZmqcaWlpQSA1q5dq/tCPKJv3740bdo0tXEBAQEUHR1d7zzz58+ngIAAtXFTp06lfv36qV7HxsaSr68vVVVV6VQPALRv3z7dK25idN1v+QjFQs2fLzoXa9aj7IoK/H7kCA5euYKoGTPQUsudsW3atGnSW1dXVyPuQb4GqVSqGn/s2DE4Ojo2OMTExAAQRxEZGRkICQlRe++QkBCkp6fX+9knT57UmCc0NBRnz55FdXU1ACApKQnBwcGIioqCq6srunfvjpiYGNTW1jZpeS0FN8paqOeeE/eXLVkCjBrVTEnlT5/G1V9/BREhICDgsZO/9957+Nvf/qY2Ljk5GS+++KLqdf/+/WFjY4P79+9DoVDA29sbY8eOVZX36dMH58+fb/Bz2rVrBwC4desWamtr4erqqlbu6uqK4uLieucvLi7WOk9NTQ1u3boFd3d35OTk4KeffsL48eORkpKCK1euICoqCjU1NVi4cGGD9bNkHFAs2LJl4hJySYm4T0Wv7t4FTpwAPUg4LdHhstJf/vIXTJw4UW1c3TYHQLR5BAQEIDs7G7Nnz8bGjRtVAQIA7O3t0blz50ZV9dG6EdFj66ttnrrjFQoFXFxc8Pnnn8PW1hZBQUEoLCzEypUrrTqg8CmPBQsOFikO9B5MANGZua0turz2GiQSCS5evPjYWZydndG5c2e1wd7eXm0aT09PdOnSBcOHD8emTZswbtw43Lx5U1XemFMeZ2dn2NraahyN3Lx5U+MIpC43Nzet87Ro0QLt27cHALi7u6Nr166wrXOZPDAwEMXFxaiqqnrsurBUfIRiBb75Brh9W6Q80Iv//U/0ozp0KNp17IjQ0FCsX78e7777rkY7yp07d5rcjjJo0CB0794dy5Ytw5oHORoac8pjZ2eHoKAgHD58GKNGjVKVHz58GOHh4fXOHxwcrHG5+tChQ+jTp4+qPeeFF17AV199BYVCAZsH55PZ2dlwd3eHnZ1do5fVYhiihbguvspjeNOnE7VuTfTbbw1Pp9NVHoWCaOtWorVrVZeQcnJyyM3Njbp160Z79+6l7OxsysrKojVr1qiulnh5edHixYupqKhIbVB+D7Rd5SEiSkpKIplMRr/88kuTlj0hIYGkUilt3ryZsrKyaPbs2dSyZUvKy8tTTRMdHU0RERGq1zk5OeTg4EBz5syhrKws2rx5M0mlUtq7d69qmvz8fHJ0dKQZM2bQ5cuXKTk5mVxcXGjp0qWqacrKyigzM5MyMzMJAK1atYoyMzPp+vXrTVoWY9J1v+WAYgWKi4kcHIgauFJKRDoGlOxsokWLiC5eVBtdWFhIUVFR5OXlRXZ2dtSxY0d6+eWX6ciRI0QkAgoAjWHq1KlEVH9AUSgU5O/vT++8804TllxYv369ql69e/em1NRUtfLIyEgaNGiQ2rijR49Sr169yM7Ojry9vSk2NlbjfdPT0+n5558nmUxGvr6+tGzZMrX1duTIEa3LHBkZ2eRlMRZd91sJkWGf+igtLUXr1q1RUlKCVpwJ3WA++ABYvVr09+Pmpn2a2tpa1Z2ew4YNU2sfeDCBSGjr5CTynfBDgFZD1/2WG2WtxLx5gEz2hN3jnDsH/PYbEBLCwYRpxY2yVqJtW+DQoSd4GLikRFzZ6dkTcHfXZ9WYBeEjFCvy3HPiSeQvvgD+/ndxK4nOli4FqqvFE8WM1YMDihXKywMWLBBHK7dv6zBDdrbI3jRwoGg/YaweHFCs0IcfAllZwJ07wLRpOiRjmjNHpNgPDjZA7Zg544BipTp3Bj77TPR4sXt3AxOmpIjhk0+AOg/pMaYNN8pasbFjRTvKsGH1TPDf/wJTp4p2kzp3mjJWHw4oVm7yZPH3X/8CiorqXA3+4QcRcby9gS+/5MvETCd8ysMAiH59XnnFBok7nkLX+C9hM2IE0L8/cPw40KmTsavHzESTAkpTcnQy0xa7gRAd9m9s3fUMIr+Zh4tTV4tHlfmqDmuERgeUpuToZCbu8mXYvjQEMSm98HXPmbjhEojw76NQw2fErJEa/SzP888/j969eyM2NlY1LjAwEK+88gqWL1/+2Pn5WR4jUSiA4mIgPx+4dAm4cOHhcOMG4OeH2vXrkVJVhcpKGwQGDsXTT9vi5k3RM8aDNCDMSum63zbqJ0iZozM6OlptfEM5OisrK1FZWalWMQDA55+LvjPZ4ykUou+b0lJAmbynpka8Li0V/wPAvXuib+HCwofjlGpqxMN9Sr6+wNNPA5GR4g638HDAzg5ISYFMpoAyo+PbbwPffQf86U/ASy+JSQYPBrp1E/eyHDmi/jEeHuKCUG2t6DP9URMmiLOogweBa9fUy/r1A4KCgNxccaW6rrZtgT//WfwfF/dwNSiNGQO4uABpacDPP6uX9egBDBgg4mmdxPUAxJ3Db70l/t++XTxhUNeIEYCXF3DmjGi4rqtrV7FOSkrEvI+aPl20ZScmis+u609/Avz9RV3T0tTLPD2Bl18Wy/ggra6aSZMABwexjnJz1cv69wd69RL5hL//Xr3M2RkYN078v3Gj+tcBAF5/Xfxw/PST6PO+Ln9/zXpo1ZhHmG/cuEEA6MSJE2rjly1bRl27dtU6z6JFi7Q+wl0ilRLZ2fGgyyCTETk7E/n5EXXrJobu3Yn69ycaOpRo5EgxjBlDNHcu0SefEK1bpz5s3Eh04ADR+fNEZWVat5W29AVFRSL1ycCBohp2dkSbN4vp4+M1q/rHP4qyykrti5KfL8rfeEOzbMUKUZacrFn27LMP6+nsrFmekSHKZs3SLPu//xNlp05plrm7P3zfwEDN8oMHRdmSJZplyiwEV69qX1aFQpT/4Q+aZdu3i7LYWM2yYcNEWWmp9vf93/9E+auvapYpOxZITNQse+65h8vq5KRZfuGCKJs6Vds6bIb0BYWFhejYsSPS09MRXOeuyWXLlmHbtm24dOmSxjzajlA8PT35lMcEPTZ9AbNazXLK05QcnTKZDDKZTPVaGb9Upz7MZNTW1qK8vByA2D4cUJiScn993PFHowJKU3N01lVWVgZAJCNmjJmXsrIytG7dut7yRl8XnDt3LiIiItCnTx8EBwfj888/R35+PqZNm6bT/B4eHigoKICTk5NOXS/ok/J0q6CggE+3DITXuXHoe70TEcrKyuDh4dHgdI0OKOPGjcNvv/2m6qe2e/fuSElJgZeXl07z29jYoJOR77xs1aoVf7kNjNe5cehzvTd0ZKJk8JyyxsT3wBger3PjMNZ652d5GGN6Y1UBRSaTYdGiRWpXnVjz4nVuHMZa71Z1ysMYa15WdYTCGGteHFAYY3rDAYUxpjccUBhjemPWAaWxmePWr1+PwMBA2Nvbw9/fH1u3btWY5tNPP4W/vz/s7e3h6emJOXPmoKKiorkWwSzpe71XV1dj8eLF8PPzg1wuR48ePXDw4MHmXASzkpaWhpEjR8LDwwMSiQT79+9/7DypqakICgqCXC6Hr68vNmrJJZGYmIhu3bpBJpOhW7du2Ldv35NXtsFnkU1YQkICSaVSiouLo6ysLJo1axa1bNmSrl+/rnX6DRs2kJOTEyUkJNC1a9do586d5OjoSElJSapptm/fTjKZjHbs2EG5ubn0/fffk7u7O82ePdtQi2XymmO9z58/nzw8POjbb7+la9eu0YYNG0gul9O5c+cMtVgmLSUlhT744ANKTEwkALRv374Gp8/JySEHBweaNWsWZWVlUVxcHEmlUtq7d69qmvT0dLK1taWYmBi6ePEixcTEUIsWLejUqVNPVFezDSh9+/aladOmqY0LCAig6OhordMHBwfTvHnz1MbNmjWLXnjhBdXrqKgoGjJkiNo0c+fOpQEDBuip1uavOda7u7s7rVu3Tm2a8PBwGj9+vJ5qbTl0CSjz58+ngIAAtXFTp06lfv36qV6PHTuWhg4dqjZNaGgovf76609UP7M85VFmjgsJCVEb/7jMcXK5XG2cvb09zpw5g+rqagDAgAEDkJGRgTNnzgAAcnJykJKSguHDhzfDUpif5lrv9U1z/PhxPdbeepw8eVJjG4WGhuLs2bOqdV7fNPVtR12ZZUC5desWamtrNXKwuLq6auRqUQoNDcWmTZuQkZEBIsLZs2cRHx+P6upq3Lp1CwDw+uuvY8mSJRgwYACkUin8/PwwePBgjZSX1qq51ntoaChWrVqFK1euQKFQ4PDhw/jmm29QVFTU7MtkiYqLi7Vuo5qaGtU6r2+a+rajrswyoCg9mv6AiOpNibBgwQKEhYWhX79+kEqlCA8Px8SJEwFAlUjo6NGjWLZsGTZs2IBz587h66+/RnJyMpYsWdKsy2Fu9L3e16xZgy5duiAgIAB2dnaYMWMGJk2axAmenoC2bfTo+MZsR12ZZUBpSuY4e3t7xMfHo7y8HHl5ecjPz4e3tzecnJzg7OwMQHz5IyIiMGXKFDzzzDMYNWoUYmJisHz5cigUimZfLlPXXOu9Q4cO2L9/P+7du4fr16/j0qVLcHR0hI+PT7MvkyVyc3PTuo1atGiB9g+6L6hvmvq2o67MMqDUzRxX1+HDh9G/f/8G55VKpejUqRNsbW2RkJCAESNGwMZGrIby8nLV/0q2trYg0Xit34UwQ8213pXkcjk6duyImpoaJCYm6pwFkKkLDg7W2EaHDh1Cnz59IH3Q4X190zxuOz7WEzXpGpHy8uXmzZspKyuLZs+eTS1btqS8vDwiIoqOjqaIiAjV9JcvX6Zt27ZRdnY2nT59msaNG0ft2rWj3Nxc1TSLFi0iJycn2rlzJ+Xk5NChQ4fIz8+Pxo4da+jFM1nNsd5PnTpFiYmJdO3aNUpLS6MhQ4aQj48P3b5928BLZ5rKysooMzOTMjMzCQCtWrWKMjMzVZfqH13nysvGc+bMoaysLNq8ebPGZeMTJ06Qra0trVixgi5evEgrVqyw7svGRETr168nLy8vsrOzo969e1NqaqqqLDIykgYNGqR6nZWVRT179iR7e3tq1aoVhYeH06VLl9Ter7q6mj788EPy8/MjuVxOnp6eNH36dP5iP0Lf6/3o0aMUGBhIMpmM2rdvTxEREXTjxg1DLY7JO3LkiNauaCIf9OPx6DonEuu0V69eZGdnR97e3hQbG6vxvnv27CF/f3+SSqUUEBBAiYmJT1xXTl/AGNMbs2xDYYyZJg4ojDG94YDCGNMbDiiMMb3hgMIY0xsOKIwxveGAwhjTGw4ojDG94YDCGNMbDiiMMb3hgMIY0xsOKIwxvfl/Ga/rNZ4T6DUAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x200 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a1 = [value for value in data_runs[f'apply-patch-interleave-reference-25-07-11-03-p0.3'] if value['info']['serial'] != 74]\n",
"group_b1 = [value for value in data_runs[f'apply-patch-interleave-reference-25-07-11-03-p0.3'] if value['info']['serial'] == 74]\n",
"group_a1 = sorted(group_a1, key=lambda trace: trace['info']['serial'])\n",
"\n",
"smooth = 1e-10\n",
"batchlabels = ([5, 15, 25, 35], ['Reference A', 'Reference B', 'Control', 'Experiment'])\n",
"corr_before = plot_vector_covar(group_a1, group_b1, plot_cdf=True, do_lines=False, smooth=smooth, triangle_delta=False, return_matrix=True, batchlabels=batchlabels, figsize=(3, 3), fig_out='patch_interleave_baseline', label_placement='x')\n",
"\n",
"group_a2 = [value for value in data_runs[f'apply-patch-interleave-modified-25-07-11-03-p0.3'] if value['info']['serial'] != 74]\n",
"group_b2 = [value for value in data_runs[f'apply-patch-interleave-modified-25-07-11-03-p0.3'] if value['info']['serial'] == 74]\n",
"group_a2 = sorted(group_a2, key=lambda trace: trace['info']['serial'])\n",
"\n",
"corr_after = plot_vector_covar(group_a2, group_b2, plot_cdf=True, do_lines=False, smooth=smooth, triangle_delta=False, return_matrix=True, batchlabels=batchlabels, figsize=(3, 3), label_placement='x')\n",
"\n",
"plot_vector_covar(group_b1, group_b2, plot_cdf=True, do_lines=True, smooth=smooth, triangle_delta=False, figsize=(3, 3), fig_out='patch_interleave_classifier')\n",
"\n",
"fig, ax = plt.subplots(figsize=(3, 2))\n",
"alike = lambda corr, a, b, batch_size=10: corr[a*batch_size:(a+1)*batch_size, b*batch_size:(b+1)*batch_size].mean()\n",
"for cand, label in {2: 'Control', 3: 'Experiment'}.items():\n",
" x1, y1 = alike(corr_before, cand, 0), alike(corr_before, cand, 1)\n",
" x2, y2 = alike(corr_after, cand, 0), alike(corr_after, cand, 1)\n",
" ax.plot([x1, x2], [y1, y2], 'o-', label=label)\n",
"ax.grid()\n",
"ax.set_xlabel('Similarity to Reference A')\n",
"ax.set_ylabel('Similarity to Reference B')\n",
"ax.legend()\n",
"\n",
"colors = plt.get_cmap('tab20').colors\n",
"cit = iter(colors)\n",
"fig, ax = plt.subplots(figsize=(4, 3))\n",
"alike = lambda corr, a, b, batch_size=10: corr[a*batch_size:(a+1)*batch_size, b*batch_size:(b+1)*batch_size]\n",
"for cand, (label, marker) in {2: ('Control', 'o'), 3: ('Experiment', 's')}.items():\n",
" x1, y1 = alike(corr_before, cand, 0), alike(corr_before, cand, 1)\n",
" x2, y2 = alike(corr_after, cand, 0), alike(corr_after, cand, 1)\n",
" ax.scatter(x1.flatten(), y1.flatten(), label=f'{label} before', alpha=1, marker=marker, s=5, color=next(cit))\n",
" ax.scatter(x2.flatten(), y2.flatten(), label=f'{label} after', alpha=1, marker=marker, s=5, color=next(cit))\n",
"ax.grid()\n",
"ax.set_xlabel('Similarity to Reference A')\n",
"ax.set_ylabel('Similarity to Reference B')\n",
"ax.legend()\n",
"fig.tight_layout()\n",
"fig.savefig('../paper/fig_patch_interleave_scatter.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "536e703b-4106-447c-a3ae-7483da51ab48",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.988544\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.994±0.00162 min: 0.989 max: 0.996\n",
"Cross class: 0.991±0.00145 min: 0.987 max: 0.994\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.959533969920\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"batchlabels_before_after = (list(range(5, 45, 10)), ['Control (before)', 'Control (after)', 'Experiment (before)', 'Experiment (after)'])\n",
"fetch = lambda run, serial: [value for value in data_runs[f'apply-patch-interleave-{run}-25-07-11-03-p0.3'] if value['info']['serial'] == serial]\n",
"group_a3 = fetch('reference', 73) + fetch('modified', 73) + fetch('reference', 74)\n",
"group_b3 = fetch('modified', 74)\n",
"plot_vector_covar(group_a3, group_b3, do_lines=False, smooth=1e-9, triangle_delta=False, batchlabels=batchlabels_before_after, figsize=(3, 3), fig_out='patch_ref_exp_interleave_direct', label_placement='x')"
]
},
{
"cell_type": "markdown",
"id": "22d21172-9d15-4e10-93d5-e9fbc35a7dcf",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we distinguish a board that has a trace shorted to itself?\n",
"\n",
"This experiment was run like the interleaved patch experiment just above. Only here, we shorted a trace to itself. We did that by soldering a bridge in one of the little loops where a trace goes in a hairpin shape. We bridged less than 5 mm of trace in total.\n",
"\n",
"Serial 72 is the specimen that was modified.\n",
"\n",
"The reference run has to extraneous samples at the end that we cut off."
]
},
{
"cell_type": "code",
"execution_count": 156,
"id": "054aa276-8e1a-4e65-80b6-ebad29ff88e1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.983440\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.988±0.00157 min: 0.984 max: 0.992\n",
"Cross class: 0.988±0.000948 min: 0.986 max: 0.99\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999999745778\n",
"EER: 0.5117283950617284 th: 0.9881507392379334\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.985367\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.99±0.00145 min: 0.987 max: 0.993\n",
"Cross class: 0.989±0.000823 min: 0.987 max: 0.992\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999999699864\n",
"EER: 0.4984175599795815 th: 0.9894706442474371\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.989187\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.99±0.000423 min: 0.99 max: 0.991\n",
"Cross class: 0.991±0.000592 min: 0.989 max: 0.992\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999517388165\n",
"EER: 0.7310344827586207 th: 0.9907599830714379\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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X1xd9+vRp1j5Y03FA0QORU4uwbpkBFjqswfoXXmjSNvRocBVZEx4C/OijjxAWFqa0zEE+N/Ej8fHxcHd3x5UrVxAREYENGzYo/UU3MzND9+7dm5Q3udp5I6IG8+vm5ga3GrcP+/j4IC8vD19++WWzA8rMmTPx008/4cSJE83anqmHL3l0rbISHWaF4r02a3HV4fkmD8LUo0cPyGQyZGVlNbpup06d0L17d6WXmZmZ0jqOjo7o0aMHRo8ejc2bNyMkJASFhYWKdHUueTp16gRDQ0OV2khhYaFKraUxgwYNwtWrV9XaRm7WrFnYt28fjh07hq5duzZrH0w9XEPRJSIxUMrhwwj45Hk873URMplTkzbt0KED/P39sW7dOrz33nsq7Sj37t1rdjvK0KFD0adPHyxduhRr1qwBoN4lj7GxMby8vJCUlITXXntNkZ6UlITAwEC18pKRkQE7NWeiJyLMmjULiYmJSE5OhgtPFaI1HFB06e9/B6KjQRs34radHaqrxfhIQ4YA9fSIKomOjsbgwYPh7e2NxYsXo1+/fqisrERSUhLWr1+vqL2UlJSo1Bbatm0LS0vLevf9wQcfYMKECZgzZw4cHBzUvuSJjIxEaGgoBgwYAB8fH2zatAm5ubmYPn26Yp158+YhPz8fW7duBQCsXr0azs7O6N27N8rLy7F9+3YkJCQgocbMaeXl5cjMzFT8Pz8/H+fPn4e5ubkif+Hh4fjnP/+JvXv3wsLCQlF2KysrlZoZk5jmO5yUcbfxI//6l+gi/utfqbKykvbt20c7dx4ka+tqmjSp6bu5efMmhYeHk5OTExkbG5ODgwONHTuWjh07RkSiaxWAymvatGlEVHe3MRFRdXU1ubm50bvvvtvsIq5bt06RL09PT5Vu20mTJtHQoUMV7z/77DNydXUlU1NTat++Pfn6+tKBAweUtpHnt/ar5n7qSgdAW7ZsaXZZnnZN/d3KiLQ7UXFxcTGsrKxQVFTU4F/IJ9rJk8DIkWIK0O3bUVVdjYMHDwIAfvttNN55xwD794sb3xjTB0393XKjrLb9739AYKAYFCk2VuUu2LAwQkCAmAHj7l0d5ZGxZuKAok2JicDQoUCPHuL/8kl7apDJxDOB9++LBwgZa024UVZbvvlGTHj8pz+JiXoaaBzs2lWM7Mj3YbHWhmso2vDzz8D06SKgxMU1GEzkPDwAIyPg3Dnx8DFjrQEHFE0rLRXTBj77rBgsSY2JtyoqRLvtnj1anHWQsRbggKJpH3wAZGc3uWZSk5GRmKI4OxtITdVQ/hiTEAcUTdq9G9iwQbSu9urVrF2MHCkqNcOHAxKMecSYRnFA0ZTcXODtt8U1y1/+0qJdffKJ6Gn+6COgqkqi/DGmAdzLowmVlcCbbwIWFmLQ2BZOC2pgAGzdCpSUiLl9GNNXHFA0YeFCcTdsSgrQvr0ku7SwEK/ffhONtfzwLNNHfMkjtd27geXLxZiwvr6S7ppIDIC/aJGku2VMMhxQpJSZKYaxnzAB+PBDyXcvk4lbWXbsEFP1MKZvOKBI5cIFMdewk1Odz+hI5Z13RE1l82aN7J6xFuGAIoWjR8W1SPv2Yo5RDU5g3rkz8Oc/A2vX8h20TP9wQGmp+HgxzoCvL3DihFZaS+fMEROF8USCTN9wQGmJbdtEdeH114G9e0U3jBa4uwP79wNt2wIXLwI3bmjlsIw1igNKc8XGigbYyZOBLVt0Vl2YMUPMVPrbbzo5PGNKOKA0x4YN4i7YadPE4CU6vNvsm2/E84f+/sC9ezrLBmMAOKCob80a4N13xWj10dFqPT2sCS4uwJEj4k7/0aM5qDDd4oDSVOXlQHg4EBEhHqpZtUpjXcPq6tNHdC7duAFcuaLr3LCnGfcTNIYI+PFHYNYs4PRpcbkzbZquc6XC2xu4dk2MKllWBuTkADUm4WNMK5pVQ4mOjoaLiwtMTU3h5eWF48ePS50v3fr9d+DAAWDePKBnTzF8Wna2GJdRD4OJnHyI2r//HfD0FO0rjGmT2gElPj4eERERmD9/PjIyMjBkyBAEBAQgNzdXE/nTnspK0Rc7dqy4e+zVV0VPzsCBwKFD4k9+E+cd1rWICGDiRNEBFRQkupYZ0wa15+UZOHAgPD09sX79esWynj17Yty4cVi+fHmj2+t8Xp6SEiAvT9Q4Llx4/MrKEu0knp7A1KmAnx/QrZtW2kmqqqoU8/KMGjUKhhL1GsXFAXPnigbbK1cANec6Z0yhqb9btdpQysvLkZ6ejrlz5yot9/Pzw6lTp+rcpqysDGVlZUoZAyC6W1s6LSSR6DMtLhb/1lZUJIJHfr7o/igqEvNTyFlaAr17i1rI22+LGoinZ8vypEcmTgTGjweSkkQwIRLLbG1FJczaWsTL0FDxURw9CtSel9zbG3j+edHgu3+/cpqVlRj2BRDPFtU4zQDEAP82NsDx48BPPymn9e0LvPgiUFgI7NqlnGZsLJ5ZAsSDkLV7rkaPBpydgbNnRbNWTd27iy70khIxhkxt06eLXv7du4GCAuW0ESPEFe7Fi0BysnKagwMwbpyoyG7cqLrfsDCgXTtRmc3OVk7z8RFfq+xskV5Thw7ivkhA/CQqKpTTg4PFuUpOVq1pPvec+MoWFIjy1NS2raihAo/H0qlp7FjA0VF8fmfPKqe5uYl7m+7dE58/IL4rTaLOdIT5+fkEgE6ePKm0fOnSpfTss8/WuU1UVFSd00IWGRkRGRu3/GVtTeTkRNSzJ1GvXsovb2+ioCCi994jiooiWrmSaMcOotRUotxcoupqdYqvMfKpSPft20eVlZUaO869e0Tjx4uPpnPnxx9hdrZIDw1V/Xj/9jeRduiQalqvXo/3bWurmn76tEiLjFRNi4gQaWfPqqZ17vx4v336qKbLZyddvlw17Y03RFpOTt1fl/JykT5ihGraN9+ItJgY1TQ/P5FWWlr3fvPzRXpwsGraF1+ItL17VdM8PB6XtX171fTz50VaeLhq2pw5Iu3kSdU0R8fH+332WdX0pCSRtmiRatqUKSLtypXHy4YN08BUpDdv3oSDgwNOnToFHx8fxfKlS5di27ZtuHTpkso2ddVQHB0dn+6pSGvR1CUPY1LRyCVPp06dYGhoqJjNXq6wsBA2NjZ1bmNiYgKTGjPkyeNXMT8qq1BVVYXSR5dsxcXFHFCY3pH/Xhurf6gVUIyNjeHl5YWkpCS89tpriuVJSUkIDAxs0j5KHl3MOTo6qnNoxpgeKCkpgZWVVb3pat/YFhkZidDQUAwYMAA+Pj7YtGkTcnNzMX369CZtb29vj7y8PFhYWECmxTtN5ZdaeXl5T92l1tNa9qe13ID0ZScilJSUwN7evsH11A4oISEhuHPnDhYvXoyCggL06dMHBw8ehJOTU5O2NzAwQFcdjrBsaWn51H255J7Wsj+t5QakLXtDNRO5Zt16P2PGDMyYMaM5mzLGnmD8cCBjTDJPTUAxMTFBVFSUUo/T0+JpLfvTWm5Ad2VX+9Z7xhirz1NTQ2GMaR4HFMaYZDigMMYkwwGFMSaZVhNQ1B0lbt26dejZsyfMzMzg5uaGrXU8y7569Wq4ubnBzMwMjo6OeP/99/Hw4UNF+qJFiyCTyZRetra2kpetMVKXvaKiAosXL4arqytMTU3Rv39/HD58uMXHlZouyq0P5zw1NRVjxoyBvb09ZDIZ9uzZ0+g2KSkp8PLygqmpKbp164YNGzaorJOQkIBevXrBxMQEvXr1QmJioso6LT7nDT6LrCfi4uLIyMiIYmJiKDMzk2bPnk3t2rWjGzdu1Ll+dHQ0WVhYUFxcHF27do127txJ5ubmtG/fPsU627dvJxMTE9qxYwddv36djhw5QnZ2dhQhf66exNALvXv3poKCAsWrsLBQ4+WtSRNlnzNnDtnb29OBAwfo2rVrFB0dTaampnTu3LlmH1dquiq3PpzzgwcP0vz58ykhIYEAUGJiYoPrZ2dnU9u2bWn27NmUmZlJMTExZGRkRN99951inVOnTpGhoSEtW7aMsrKyaNmyZdSmTRtKS0tTrCPFOW8VAcXb25umT5+utMzd3Z3mzp1b5/o+Pj704YcfKi2bPXs2vfDCC4r34eHhNGLECKV1IiMjydfXV/E+KiqK+vfv38Lct4wmym5nZ0dr165VWicwMJDekA8m0ozjSk1X5daHc15TUwLKnDlzyN3dXWnZtGnTaNCgQYr3wcHB9Morryit4+/vTxMnTlS8l+Kc6/0lj3yUOD8/P6XljY0SZ2pqqrTMzMwMZ86cQcWjIbF8fX2Rnp6OM2fOAACys7Nx8OBBjB49Wmm7q1evwt7eHi4uLpg4cSKyaw/HpUGaKnt965w4caLZx5WSrsotp8tz3hz//e9/VT4rf39/nD17VlH2+taRf55SnXO9Dyi3b99GVVWVyngrNjY2KuOyyPn7+2Pz5s1IT08HEeHs2bOIjY1FRUUFbt++DQCYOHEilixZAl9fXxgZGcHV1RXDhw9XGt5y4MCB2Lp1K44cOYKYmBjcunULgwcPxp07dzRX4Bo0VXZ/f3+sXLkSV69eRXV1NZKSkrB3714UPBoTsTnHlZKuyg3o/pw3x61bt+r8rCorKxVlr28d+ecp1TnX+4AiV3uoAyKqd/iDBQsWICAgAIMGDYKRkRECAwMRFhYGAIrBi5KTk7F06VJER0fj3Llz2L17N/bv348lS5Yo9hMQEICgoCD07dsXL730Eg4cOAAA+PbbbzVQwvpJXfY1a9agR48ecHd3h7GxMWbOnInJkyerDOykznE1QRfl1pdzrq66Pqvay5vyebb0nOt9QGnOKHFmZmaIjY1FaWkpcnJykJubC2dnZ1hYWKBTp04AxBcwNDQUU6dORd++ffHaa69h2bJlWL58Oaqrq+vcb7t27dC3b19crT2Ss4ZoquydO3fGnj17cP/+fdy4cQOXLl2Cubk5XFxcmn1cKemq3HXR9jlvDltb2zo/qzZt2qBjx44NriP/PKU653ofUGqOEldTUlISBg8e3OC2RkZG6Nq1KwwNDREXF4dXX30VBo/mIi4tLVX8X87Q0BAkGqrr3F9ZWRmysrJgZ2fXghI1nabKLmdqagoHBwdUVlYiISFBMepeS44rBV2Vuy7aPufN4ePjo/JZHT16FAMGDICRkVGD68g/T8nOeZObb3VI3p319ddfU2ZmJkVERFC7du0oJyeHiIjmzp1LoaGhivUvX75M27ZtoytXrtDp06cpJCSEOnToQNevX1esExUVRRYWFrRz507Kzs6mo0ePkqurKwUHByvW+eCDDyg5OZmys7MpLS2NXn31VbKwsFAct7WWPS0tjRISEujatWuUmppKI0aMIBcXF7p7926Tj/ukllsfznlJSQllZGRQRkYGAaCVK1dSRkaGovu2dtnl3cbvv/8+ZWZm0tdff63SbXzy5EkyNDSkFStWUFZWFq1YsaLebuOWnPNWEVCIiNatW0dOTk5kbGxMnp6elJKSokibNGkSDR06VPE+MzOTnnvuOTIzMyNLS0sKDAykS5cuKe2voqKCFi1aRK6urmRqakqOjo40Y8YMpS9XSEgI2dnZkZGREdnb29P48ePp4sWLmi6qCqnLnpycTD179iQTExPq2LEjhYaGUr58HogmHlcbdFFufTjnx44dq3PqmUmTJhGRatmJRNk8PDzI2NiYnJ2daf369Sr73bVrF7m5uZGRkRG5u7tTQkKCyjotPec8fAFjTDJ634bCGGs9OKAwxiTDAYUxJhkOKIwxyXBAYYxJhgMKY0wyHFAYY5LhgMIYkwwHFMaYZDigMMYkwwGFMSYZDiiMMcn8P9nirxyn7WiMAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x200 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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y8p06SpUaW84k4/KDZ+jk64R+rZriWaGyYrKyUBbSyw+eQWvrJuXfk9KLkJr6SOPUNUBn+QlADiC7vMGUSV377IuyuI9X556M/ayq4Wvi83h1EjdhtmLw8/PDtWvX4OPjw2r/7bffEBQUZNZYc+fOxdixYxEaGoquXbti+/btSE1NxQcffABAY75JT09nYhWSkpIQFxeHsLAw5ObmYsOGDbh58yb27Kn4Bbl06RLS09PRoUMHpKenY8WKFVCr1Vi4cKHJ16VQzCInGfgqWL99VoJ5ysGc3UYmvrmauu+eRelz7vaAIcx1t5xJxpenk/BaK3dYwwq304vA4/GQlSfH38k5GPsK3yI7Wzr5OuGve9nMiqGTrxOy8xUQEjMn1aomdUPP3hI08K2pXJj9s1uwYAFmzJiB0tJSEEIQFxeHgwcPYs2aNUzRHlMZOXIkcnJysGrVKmRkZKBt27Y4fvw4o3QyMjKQmprK9FepVFi/fj3u3LkDkUiEPn364MKFC/D19WX6lJaWYunSpbh//z5sbW0xaNAg7Nu3Dw4ODiZfl0IxC7mBdPOG2g1RCzUA3CUFKMvN0/luD8BRr5+uycmP5MNTrwcAYcVuv8sPnuG1Vu4Y0NqD8c3ZqHMhJArk5Rcg5koeBpooY3K2Cj62atx7XIzsfAWcZUIAPOQUKNCvlSbVf+qjVIR4WWNEqARp2dl4Qky3l+vBtSoz5RmXPtdLkVEVjTWFhtmKYcKECVAqlVi4cCHj5fb09MTmzZsxatQoswWYPn06pk+fznls9+7drO+BgYG4evWq0fF69eqFxMTEGl2XQqkzdE1QJc8sO3ZxNvzvbwVrzXIfULvNBd+mCaurrslJoFBzKwaBFfPfTr5OKCkmLKXAmHakxsU6nBuIpi7usBJZo4DvjKIsMR6XPmdWM1qTl406F2W5Cgz3LIM3ftecfAXwg+ZjLmpCkJKSBv/7W/UPtjBBjd3Yb7afoTqmvIagTKq12psyZQqmTJmC7OxsqNVquLq6WlouCuXFp7IJysYF6DjCcuMbeAt+mPEcfi3YikHXxFTCN7CVkcliCszo449959OY3XxCdRn3ORyMdLwFqG4BKuC85E0IiQIkH7BXAUqeCEV8R7aiSTd5aMMIxUhKL8LjjDxwGvfu/WbaOGau3qpjymsI+Ziq5XxWKpVo2bIlsxMIAO7evQuRSMQy61AoLwVimXntWiqbmlQGJo2c+4CitMJfUcN0GM8LlXptuqkelDwDu1eEYubaQgC9Pcpw92kJiniOQDXfaMNLf9ZrO2U9ziQfQprnW/D0aAo+j4eUrGI8fvwEKOZYdZVHSGc/yK2WjDXB1BQaulTLL2RhzFYM48ePx8SJE9GyZUtW+6VLl7Bjxw7ExsZaSjYKpXHg7K9xNNd0V1JpHnDlAJQD1kIYs1TTplIA56M0/5+VAEjta5wOw8FW/8+enerBC2rHuYC8BDh3VRO7ICkP4tS5ttakc8p6nN54NaFlEwEAAfDQeL+7z8QokjmgtZctfGQEKpUK2bkcikFVBhRnw8VOgsem6IY2I6AmAD/x++qIz8LUFBq6VEeZWBqzFcPVq1fRvXt3vfYuXbpg5syZFhGKQml0VGdrKheleYhJfIqBRdn6x+QFgEii3w5wmzgMJIfzcXfQa9PfBmkLlZUCwFVNQJtIBORz23SERGF4lVEN/NzKlVAVikHJq8iDxOfx4OPugH9vc3T8VzPBF7pOhkxmDZRUIYCNK1KyVdwmJzMruFVne2l1lImlMVsx8Hg8FBTo77bIy8tjoqApFIoJGDA13c5Wmryjxyhce+gLMsHPSwfy0jWKRmgF2GtigqqbJM/RRgipi2aVwVeVIT0tFZ4Zv9RMdgMTcJrnW7j7TMz4Iprpvk1rI5MD3wRu/6h3bn5BMfIErnBqPg3+LgLNLiOuSGyhGBmlAiTrmLQcbYTo2KpJnWw9ratYBWOYrRh69OiBNWvW4ODBg0waCpVKhTVr1iA8PNziAlIoLyzlJqjvziXiu0sPQQAUQ4IpzdwAS21Q0p3IcpKB6D6a/0vsgdAxet334C2M6RMMocD0Ui0dm9sBdrYANJNZlsLAdldtGc7S5xrzjrK0okSnLloFxREY5il1RlH5jh1/SQH8ZAogX7sdtzxZnXUTvSF1ySiVwd/OUbP11EDwmYtdIW7lV2zr9XCxgVpqg6RHhY1u62l1MFsxrFu3Dj179kRAQAB69OgBADh37hzy8/Pxxx9/WFxACuWFxtkfIwb74amtJoq4v68TRrQHcI2jr1hmVu0APXR9IAJu088Pl5LxHPaI7NtS/6CJ17azs6mIONZBbeOKlMwS+N/neEvXKg3dVQvH2zkf5Tt0irOBC1uB+zoHiQBAJ24ZdWDZ7K1d2M58pRwozkYrT83qQ1cJNITdQnWF2YohKCgIN27cwNdff43r169DKpXivffew8yZM+Hk5FQbMlIoLzRCAV9/IjbmzDYxHUZl1CBVlmzs6fQMwqfXgawyQFIpaZyJqTj8/LyRjGnIzy+Cg60QPk2k4IskSEl5jJxH9+HPkYWaVbvZFIym7bDibLaTWcPDyYZtszcQ8czvNg+tvdj31RB2C9UV1Ypj8PDwwGeffWZpWSgUihZjzuxq2rkfZpVWGRi2sGUqgFTgRjz3G3gV12aCs0plcHFxgo/W3JKTDP8fesDfQKxGwv18FFtJ4WJnVXMTjdQZV1wnI7+gmGmyk1kjtL2/RhEU5EFNCB4+LUFJ3jNwJvLhUDwm7xZ6AarrVUsxPH/+HHFxccjKyoJarWYde++99ywiGIVCsSw5cnGFYjAUM8FB0uMiBDazN2my5jS3OJUCzx9qAvikDpznPS9SIq9Ugaflb+E1MdFk/nseNkoR1GoVRESOUp4NnK0lQNa/jLOZjyqipznSX5i0W6iuquvVMmYrhl9//RVjxoxBUVERZDIZq4YBj8ejioFC4UBNCJIeayZMcyZaS2Lr2QqnepyCUKmRw00sR76cD4FYoslGaoCk9CIIBEKTJuvK5pXCZ5nA7fIcakaiuq1ICexVmqymJdlCwKmKHUBGfCpuT0/Dq3Kq6wdGxdZHxY7kNjlNRS3ku6oPzFYM8+bNw8SJE/HZZ5/RymUUiokkpWsKrPBh3kQLwGBKb3Nz6mjecNsw/Z/mlSG7QMFMyMZgJnxdM4k2C6s2VYZQDBc7Ccvc4mzNtigw3D4FlDxHXPv1KLPxYEdAl0DjvO42T/Ndd1JVFAOi8nmn/btAcY7p6SzMQcD2U1jM8cxydDfc7f1mK4b09HTMnj2bKgUKxQyq7bg0lNJ77FE8LJDgcaYmWitVqJn0jU1W+vvjC5FdUHVwmp0qG55W1kBONnB1p9G+rbrOBWDDKB8fmYL7bb3kOVCUjedCd0iE3Fn3Em8lIyj3qNHr1Ro6eaEACzmeK5uZtD6ckhxA1NT88WoRsxVDREQErly5gubNm9eGPBTKC4mLnQhPn7O/m4Sh1N37hullGb1iewbw4lAiBqiwmVshuek0+Nnkg6/WTHhqRQlw5zgAoGfpDxA9UJlkjuEXZaG1VxvNGITgYXIGpy3/busPkS1tCUjt4e0iAAr1+xQWl5p8LxZH11RVnA1Pq1yUqTTyKHkiuNh5VX1e5XaDZibTExDWFWYrhtdffx0LFixAYmIi2rVrp1cubsiQIRYTjkJ5UWjlaQOVSol7T8vr9NZCmgNnsf7Eo2duciwBv9x+zgfQwl6Ek7fzmEpsM/oEQSjgg5+fjmoZOnRSUyelFyE1S8WpGFpK09ES6UAxoJbpB9rVCW1GAPbemv8b2kVU/pZfWQmrHedCG9DHoDUTtX9X46MQWLFjMwykFGmImK0YpkyZAgBYtWqV3jEej0fTYlAoHPB5PLTysMG9a0Arj9qJmPVx1c+jpGsbL36eida32eUwhQCO/hWClBIp/rqniUrjDG4zh/JJNjtfgSK+I/5WdUPXO0sBqSPg11WvO7+Me1WkskgNOCPYe7Md3NqJXSnXTOJG3vL5lZzTL8puJC1mP/nK21MpFEotUlXqbh340Fc2urZwQ6msrYWalzkeDygoUuF8Yi48rYphwFhiMqx9/0GDDHfkSIuR6v0ORHIboGq/uD4hU6EuzeHOjtpmBGDjqh9bYGhiDzDRAmLKbiSDZibugLz6pEYqubS0FBKJgWyPFAql5nCl9C7JBfYN0+uanMuHnzthrUYqB2Vxoe3dr5U7glwd8DS/DMVqFbdi+OcXTY4jALD3AJrr50dTE02ENWMuU/AAM3drNnN3RjM7TyTfn4asx2kQEE0NCRuBHAH+7hDy+NwJ8ABA5o6U5+DOjlp5laDF0MTOlcupulSOHFeqNGnNpc7Gz6sHzFYMKpUKn332Gb755htkZmYiKSkJzZs3x7Jly+Dr64tJkybVhpwUyssLVxR0ubJIySpBSmYJlEIbFBW4QZFehNZetjq+hTKNo5sAXmIJpwN5dFgz/L8UHjp4OTJxSUV8R/whfQcovqepxyAUaAoGaWtDAJogOQ7FkJKjhr99xXe1oIpan0bILVSga+kxduM/0EywldNzQACcuQRAkyivVrOj6hQtAgAUmbi00b2+ojyteQPEbMWwevVq7NmzB+vWrWP8DQDQrl07bNy4kSoGCqUuKFcW6c9zkWdfsSLQmo50fQsAEOhlAz8nR27F0K0lniIX19JyEdFayiiHYr6DJreSth6DotIuofLCQtqEfHHt1+O5rDWsS2Xw15HBnrhyp50w5TYNxUEo5fq5lRQVpjIXO5FedlRYWybhnbrdGKQ8KeauHV0ZM+s3NBTMVgx79+7F9u3b8dprr+GDDz5g2tu3b4/bt7mqZFAolNrCUP4ezn33XoaT4KU+uo7HGdkoaCKHt4MNlHwrFJJKE6nWrJV1CzhcvpOoNI85/FzoztRI0OQiqtjeaTblE6pPE6n5UcuoRrEbMybwhwViPMw0UDta68PQjtkIHc9ANQPcWrRoodeuVquhUFQj6INCeRnISQaKyyfRJ/8A1vYWqfpmaAI0mPCNa6IqzsZ6r9+hcSpcA8oXBh9nRCDEDsCzFEBVkZAOroHArASo5fm4llKA54VKjSnLxpeVorpYrnFqF/Edccp6HFq6CuDnaq0xu/xrpGxmx4mMnKbs3lITgpSUNDx/nq/5nv8YIqmNXnZUo3BljlUUcwb05RQbzlGbUmSL9Fzrikh0IzLXd4oUY5itGNq0aYNz587Bx8eH1f7DDz+gY8eOFhOMQnlh0EYv8yXAK9uBXQMBdanm7buGysFQtS9jb8x6sQ2yUs4J7J9HmQgJkgDbemjk1WVWApLULfFQUASU+xNc7EToHugIPo+nHxksdYaPv4tm61NVb+cinawKhvqWPmfeyFNS0uB/fysURIBH6AR+QjTAUzFbRU1OHcKlNDlWWLbPJMgvSOEUKyWzFHmCsirTZtQoRUodYLZiWL58OcaOHYv09HSo1WocOXIEd+7cwd69e3Hs2LGqB6BQXjYMRS8barcAxspDVs77I3Yp4QxCmxDqCFJcAtg4A+ryyVGlAErzoJbnI/WpHas/Dzxmwq28YmnWRFoxGWvfzvPSjK8cdPsWZrJ3IZX//x+bAVCX5HGfWz6hV77fp/lljAKrEg5l0UpKICqzZxcJ0l5Sx2xmLG1GQ6/tYHr9vnIGDx6Mw4cP4/jx4+DxePj4449x69Yt/Prrr+jXr5/ZAkRFRcHPzw8SiQQhISE4d+6c0f5btmxBYGAgpFIpAgICsHfvXr0+mzZtQkBAAKRSKby9vfHhhx+itLTijaegoABz5syBj48PpFIpunXrhsuXL5stO4XSGKk8CT0vVHL2G4g/Nf9pP1yTGbXjCE05UIk9MpL+gTDrH9jn/QubogcA2Gk+WnnaINDLBk3srBDoxRHpbe1SYYuvCmsXvdxFWtqdn4hXbi7jPq88yR/XJJyUXuGYVxOC248KcT4xF7cfFUJd9FQT4Kb9FLPL0fF5PPg3b6ZRWJ1nMp/k5tNQxK9weBtLe1L5mMkpUuoIs1YMSqUSq1evxsSJE3H27NkaX/zw4cOYM2cOoqKi0L17d2zbtg0DBw5EYmIimjVrptd/69atWLJkCaKjo9GpUyfExcVhypQpcHR0xODBgwEABw4cwOLFi7Fz505069YNSUlJGD9+PABg48aNAIDJkyfj5s2b2LdvHzw8PLB//3707dsXiYmJ8PQ0o4oUhVJLKLPu4vsLt5H4OA9BHvYY0a01hK7lEckGsq2aSuW3eWeemQWmBSJ4xs5i1XU+99rvaOUZynznXLFULmBTkME9vkLjz9A1AXlaFRuun8A3MI2VRydzxXLoKouqosMBaPwelU1clSvXyQgUVkUmObzrIkVKTTBLMQiFQnzxxRcYN26cRS6+YcMGTJo0CZMnTwagedM/efIktm7dijVr1uj137dvH95//32MHDkSANC8eXNcvHgRa9euZRTD33//je7du2P06NEAAF9fX7zzzjuIi4sDAJSUlOCnn37C//73P/Ts2RMAsGLFChw9ehRbt27Fp59+apF7o1AYDEUvG2rPSYYwKhSjtd+zoKkBPfYo4NCMO9vqyAOAvVfFuM7+BhVIZf+DF98aOHvceHRyFXjaKIybZgxFFnOgFEggBHvCLlMZqT6n5l7xaFNnt/K0wdP8MpYy0H1DNyU6nDOrbKV0F8bMd5WpixQpNcFsH0Pfvn0RGxvLvIVXl7KyMsTHx2Px4sWs9v79++PChQuc58jlcr1Ia6lUiri4OCgUCohEIoSHh2P//v2Ii4tD586dcf/+fRw/fpxRZkqlEiqVinOc8+fP1+ieKBROtNs8i/OAhDRgwm/GdyUZyaiKQQYmV+32US1jj7KjoyX2mniDUd+Bb++F1k5izfZVAHjMA+Qc6U3N4HmxErcfFRp28JpRqOb7K48wuq83a8I2uOVVpTAse7n5ic/joXugo54DWosp0eGcNLLiO+ZgtmIYOHAglixZgps3byIkJAQ2NuwlkKnZVbOzs6FSqeDm5sZqd3Nzw5MnTzjPiYiIwI4dOzBs2DAEBwcjPj4eO3fuhEKhQHZ2Ntzd3TFq1Cg8ffoU4eHhIIRAqVRi2rRpjAKSyWTo2rUrPvnkEwQGBsLNzQ0HDx7EpUuX0LKl4eRhcrkccnnFL0J+vmZrnEKh4Nymq21rTFt4G5vMjUpeu2ZQSBUA0qBwbl0eMGZAbpVas4OJixMfGT6mS8HTin4S+4rqabd/regTNlOTjkGl1tQGIALWEArCZ/3LQAR6MuQVKfAwVeMEfvocUKmUaOWhMzcoVXrjG+J2Rh4UCgUcbXh4+lyzGiiCDEk+U+HnrDNGYRZwYScgkQBEwCGvgPWM/d3E8HfT7HJSKZVM9lg/VyuoVErk5CvgYSWCItU0OaFUGf4ZmkBd//6acx0eIYSYMzifb9hfbU521cePH8PT0xMXLlxA164VGRdXr16Nffv2cQbLlZSUYMaMGdi3bx8IIXBzc8O7776LdevWITMzE66uroiNjcWoUaPw6aefIiwsDPfu3UNkZCSmTJmCZcs0Tqrk5GRMnDgRf/75JwQCAYKDg9GqVSskJCQgMTGRU94VK1Zg5cqVeu3fffcdLVpEoVAaPMXFxRg9ejTy8vJgZ2dntK/ZisFSlJWVwdraGj/88APefPNNpj0yMhLXrl0z6txWKBTIzMyEu7s7tm/fjkWLFuH58+fg8/no0aMHunTpgi+++ILpv3//fkydOhWFhYUsxVZUVIT8/Hy4u7tj5MiRKCwsxP/7f/+P85pcKwZvb29kZ2dzPmSFQoGYmBj069dPr2ZFQ6WxyVxjeZ+lAGU6ZggrW8DJaIl4oyhVakSfS0FCai6CmzliSg8/CAUVv2+MvP/MhqhyXMD75yqu/SxFEztQE4Z8BfwyS/N/G2fNzqLKhEzVpLnguJZ6eDRUj68gpiQE/aTxEPHKU1Nc/R4Y9g2UEnv8+7AQRaUqSGxlsG7qj3sZJcz5rTxt2CuGkhzg0tdViv0beqJfj16s55b0uIi1i8hZJkJYgIOeXb7K3wdDMmhXTrr9dIvnKIq5E/ZVPs9M6vrvLT8/Hy4uLiYphnrLrmplZYWQkBDExMSwFENMTAyGDh1q9FyRSAQvL42j7dChQ3jjjTeYCb+4uFhvVSMQCEAIQWUdaGNjAxsbG+Tm5uLkyZNYt26dwWuKxWKIxfrBNiKRyOgPtarjDZHGJnO15M1JBrZ20m+vQdBZ1Nm72HQ6GQTA2bvPQHgCztoGInWpvmJQFWvMSwDg1goYc4gzgyoAoP+nwKmlxoWRNakISlPLNQFflREKgNJi/eA1AJA/g6JcGYh4aoi050ukgAAQOTRFqAOgFlghKVeKp3llcHGQggfAxc5K38cgagp0n8PY5ZUFmRDe+kHvskM6twEk7L+z3CLC2nmUU0SQklVm0NFr8PehRMX9HKCqePZaWSujIzsAi6a7qKu/N3OuUa/ZVefOnYuxY8ciNDQUXbt2xfbt25GamsrkYFqyZAnS09OZWIWkpCTExcUhLCwMubm52LBhA27evIk9eyq2lw0ePBgbNmxAx44dGVPSsmXLMGTIEAgEGtvhyZMnQQhBQEAA7t27hwULFiAgIAATJkww93FQGiu1EHR2+cEzaF89SPn3auPfR9+BrMXRwKpmeDTg0qpiV5I2XXfOXSAzQb+/UAzkPeIe649PgA7v6LcHDQJSYjQfaAKhUq3HMfv3A71sDO/M0ZlIhcZKYFaiqu2mdUIjzXlUXeo1u+rIkSORk5ODVatWISMjA23btsXx48eZdBsZGRlITU1l+qtUKqxfvx537tyBSCRCnz59cOHCBfj6+jJ9li5dCh6Ph6VLlyI9PR1NmjTB4MGDsXr1aqZPXl4elixZgkePHsHJyQlvvfUWVq9e3ajekikNj06+TvjrXjYINDUOOvk6VRzUzZVkKv599GsxGCvc4xnCXu1ot6z+NLliV5KW0T9oJjtFsf44ZqK7xdPkCdvaBVdcJyO/oOL6djJrhHJFGlex3ZRieeo9u+r06dMxffp0zmO7d+9mfQ8MDMTVq8bzlwuFQixfvhzLly832GfEiBEYMWKE2bJSKMaY0UczKVfUTy6fpCvnSuJC++ZeOVjNkFmLS2Fw9dX2Ka2klHjl5laRgY0Tquq9kZszYds6uSGtuMJ34OHEHeRV1XZTkzFjlVLvVA4GrONMrTS7KuXlpCTXvHYTEAr43PWSDZmndH0FunEIpvg5LJCZFUBFUFxlSvM0juaATsCNI0DvhRon9iP9GCOpFQ8KoQDNXMSaCdvESc2c1NjmBI8ZhCuDakNMjd0A6kfT7KqUlxOpo8ntSpUaW84ks1YCurtmqo2tG3d7LSbX08OYaUq7yijKAdw7AA5enIqhQCFEsUoFHo8HfkmOyZOaRSZ7AxjMqNrQlAAXptSPrmVodlUKRQelmuj9UWw5k4xNvyeBAPjrniahGufKoCFiaOLPe6TvpAaAlHNAjIEdT5XeuK/ez8fTYh7jeM7OVwB2VU9qJqfBrgGVM6oChlNgU/QxWzFos6t+9tlnTHbV4ODgamdXpVAaEt9feYTRXuyVr8m7jQwltzM0ORuy75s6Lge6q5uQZo4Aj+CR2y70dsrB4FvzKzpqTVeVzVZiGbdi0N6Dzhu31MUeRTrlQ031L9TFpN3Q01o3dExSDF9++SWmTp0KiUSC1NRU9O/fHxEREbUtG4ViGpUrjJmSbdTAZB2foahIXleO0d1GWrQO5spoJ16uXEmmyFbVuJXQXd2cv6dNFy3GnVQ5BnP5WCubrXRXECq1Rt73z3Feq5VjCcSl+XheqISDrRA+jnyAK0ygEmZN2tV0whqsYNcYaABOcpMUw9y5czFq1ChIJBL4+fkhIyMDrq4m5lKnUGobAxXGjCqH8gnwu3OJ+O7SQxAAxZBgWMt2el0N7jbSpaq4CGd/wE6TKwlN21UEVFW1u8jQuFm3OO8v9e4/COI9Zr4XQYIHxB1mpTfQjqvQyKu090HU73fZPhb5M/D/3lCR8TQbmtrMHSdyj6kzqZk8adfACWt2zeeGRANwkpukGDw8PPDTTz9h0KBBIITg0aNHrMI3unDVUaBQ6hxTHLjO/hgx2A9PbTWml/4GJn2Du40sQXV3Fx0eo6/8cpKxPnMCUOnFsrd8PWpiwY8+l8JEdDM+ls7cZrAtR2Ph7tYNQ8I7QKjNQFBpUmveVIq/k3MgLyMQW/HQvKmBCa8GTtjadGwbw2L+k3p2kpukGJYuXYpZs2Zh5syZ4PF46NRJP5UAIcSsJHoUSkOgVid9gB1ZrFJbdmx5AcunMMglS88MBgDh3hK09PYD4vWPXUlTw1ZdaHQCS0jN1fOxKEMlnJPHjGefA2nZ2EOOYNzg1zjH2xp7nzF38QDkK8oajzO/Cl4Up7dJimHq1Kl455138PDhQ7Rv3x6///47nJ2rnzyKQnnhMORg1o1P0Aa4PUvR5EOqipxkwykrytH1KTxPfojRHGboT4e1BTw6AMFnmHKX6blypDy3wlPiCZJWiL+TczA23JtzG25wM0dN7icAfrwMDHJRI+bP+xhoxHd+N81AdTZYOHVIA+NFcXqbvCtJJpOhbdu22LVrF7p3786ZUI5CaTAY259fG1Te9gloJvXKBXQAKEsL9G32lSdkQ07nSuhOskYtFsXZgE7SOs/yzym1J4r4jsjMk2PLmWTON/cpPfxAeAKk3v0H6zPnaarJSew19Z8rUx4xHeRh2LlukjMfqDUnbG1ul23UTm8dzN6uOm7cODx//hz79u1DcnIyFixYACcnJyQkJMDNzY3WTKbUPe+fM39XUm1g4jU/3fM//FXSDA+Iu+G4CFN8JHmP0M9Nir/uad68O/g2Ax5z90MJ91u5kChACEHhk9soVOYDQeXbT8UywE7jL2TMbUFFgDajR2kecOUAO/+SSsEExY0INRBRDROd+UCtOWFr09zTqJ3eOpitGG7cuIG+ffvC3t4eDx48wJQpU+Dk5ISff/4ZDx8+ZDKhUih1hpMfO21yQ8GAGWgFtkEkLkVv+Xo8IO7VN6UcHoNxAND9CGIybdG5mZJbMRweA9i4VFRx0+HhswIkZ6Tg08djNQ26qZymXTZ+/cr5l3QQSg3n+zfLr1MLTtiamnuMrTjqy+ltacxWDB9++CHGjx+PdevWQSarWK4PHDgQo0dzub4olJeQnGROM5IuNtDs7DNoSjGRcSHOGOfRASnX/jb7XLGUByjzuQ/qFjEyxsgD7JxLllqxFWdDrSjFw6cleF6ohJ2dDfz8vGts9qmpuedFcTAbw2zFcOXKFWzfrp8h0tPT02CtZgrlpcPEfEddmzszphTdHUb93Ao1qwEz8HE1UjTLQLbU0d1aAkFS9kqhEmpCcPtRIQrT1Qjl6uAaaFwRVCdIrTyGgQ+wYiWSMQ3+zWu2Jb6m5h6LO5gLMjRFk4AGk9TPbMUgkUiQn6//hnHnzh00adLEIkJRKC8Dozs1w8ihnRnHMzsnE4DuRzAuRGf3nwFntha+sWgFXZ9Al+mAtbMm9fbDi1XKeS+jGEkZcgCeeNbjFFo6q+HnKtUcrGp1UN0gNQOxCvn5RZzt5lBTc4/FHMzPkjX/xm9nV5arwyyqhjBbMQwdOhSrVq3C999/DwDg8XhITU3F4sWL8dZbb1lcQAqlIVOTzKtjAvlA5g1mcq28jTMm0xbjPDpUnGBop5W2vaqdWFqfwOlVJskHK83kmaPzRlxk44t0Kyv4eXBnp9Wzv8tKwfk0qpkp1MFWf8rSXjMrt4T5XptYxMFcnF1eR5qjvGwdZlE1hNmK4b///S8GDRoEV1dXlJSUoFevXnjy5Am6dOnCqpJGobyIVFYEajXBl3/c1c+8asp22Uo1GKrcxsm1JVb3jV17POtWlf4NPbj8BHbNANyCs50IOUWaycqm6AE8JWrgMfeKobL9XexSUmEKsgA+TaR6bcw11UrwoVnhtPGxsuBV2VjEwdwAJn9jmK0Y7OzscP78efzxxx9ISEiAWq1GcHAw+vbtWxvyUSgNispJ6uylIu5gLa5JXGANXLzFPbC8ADP6tAdQxTZOUwr4VKeeg72XJghOl/LCWy3crSEQCFGYnoTQc/31z9VJzVHZ3v4kV149xWAgVoEv0vejVL5mTiMNKmtImK0YtLz66qt49dVXme8JCQn4+OOPaU0GSuPCjJTWADugDADySiomIb23/MrjKBQADCgG1EF6jn6fGq61YATmDZlvwESm8/wq298LFAammKqC1MyIYah8TedGGlTG0ABKjZqlGGJiYnDq1CmIRCJMnjwZzZs3x+3bt7F48WJaj4HS+DAzpTWgmfgr0llraOZkjWZO1saDtargu7g0HM+Wm+enqKzUSnKhljogI+kfcIaZOhl5d7dQpLiu/b1IrkKR3BGnrMdBSBRwtBGiY3M74ztvzFTUutfMyi1B7lPNCqfBY2jy7zix3h3PgBmKYc+ePZgwYQKcnJzw7Nkz7NixAxs2bMD06dPx1ltv4fr162jbtm1tykqhWJaqUmVzMKOPPy7ez8Hf93OYtreCvRDZt6VxR3ROsqYegwGiL2UihfAZP8WMPv7GndoGlBof4FYKgGZbqdYHoSiPFBdZV73d1Ax07e+3HxXi1qMipsKbh4sNYGfENl8NRa17TX83MY7fh8WrwdUK1i5A2EzgzCUgZKpmu2oD2aoKmKEYNm7ciM8++wyLFy/G999/j1GjRmHjxo24evUq/P3rIf0AhVIPCAV87JvUWW/SBoyUANVOeNokelrKHb7z/ncfKQ81b5BaP8WWMzBeTtREP8KNgEXIduoCHy8X+Os6qatDVbuiKmH27p1qKOpGjbR8K7LMvcFF7pusGJKTkzFy5EgAwP/93/9BIBBgw4YNVClQXjoM+QIMZg01NLGVO3ybtbQB72ESazdSXEoOa6yoM3fxU8IjvNnRA7NebWnyHy6xcYNHm87wM3FLpVKlxoHjZ3A3LQNBHnaw4aEiG2xVu6Iq8aKkh3gZMVkxFBUVwcZG88vF5/MhkUjg7e1da4JRKDXBpPgCM9+Aq6KTrxPSk/+BNUrBAzDIRa1ZLRhg6dGbaNLKBu/31Nj+dWW9qGOqAgC5iiD1WTE2n74HPo+PyCDTZGrnawu+GZPzgeNnMC5+OABAkS3B8Ve2ayrkzbigUQBGVhu1mbWUUreY5Xw+efIk7O016XTVajVOnz6NmzdvsvoMGTLEctJRKNXEoFlHFzPegE1RNDPaA5Hn51U0XCv/jDzAKePVtOdITE3ilI1vZD5NvfsP4GnaPn2+yLzgK4N1FEww59Q4h5CFFTWl+pgWolnOuHHjMGzYMAwbNgwlJSV4//33me/Dhg3Dm2++abYAUVFR8PPzg0QiQUhICM6dO2e0/5YtWxAYGAipVIqAgADObK6bNm1CQEAApFIpvL298eGHH7JKkSqVSixduhR+fn6QSqVo3rw5Vq1aBbXawhW2KPWGycVgnP01+/e1HwNvxFpFc/5eNjb9noQtZ/RXAkKleekaHHgFBmXr7OfMmeDCl5ehKd9ZOYBtEEfaCQDzYsuw+fe7UJpYPc5YHYWqqHEOIa2innq24lNV7W5KrWDyiqE2Js3Dhw9jzpw5iIqKQvfu3bFt2zYMHDgQiYmJnLWjt27diiVLliA6OhqdOnVCXFwcpkyZAkdHRwwePBgAcODAASxevBg7d+5Et27dkJSUhPHjxwPQONABYO3atfjmm2+wZ88etGnTBleuXMGECRNgb2+PyMhIi98nxQyqsV2RC4NRxNUc//KDZ/DhZTAZUZ8m5QIdy9+r5AVQqgli/jyHgVwn23sBY48CB0axmg9YfY4+8vXo5KtfzU3r0I5LyYFKTZD+vAQ8Hg9TWjYBrnNcwyuUtfr5Li5Ns9PpoRi8h9yrEi5GhHppVjnVwCI5hKgSaBBUO8DNEmzYsAGTJk3C5MmTAWje9E+ePImtW7dizZo1ev337duH999/n3GCN2/eHBcvXsTatWsZxfD333+je/fuTApwX19fvPPOO4iLi2PG+fvvvzF06FC8/vrrTJ+DBw/iypUrtXq/lCqo5nZFLjiLwdRg/H5uhRj3SMdMlAXgq4qvQoBbKWiRcucWmhLmhhEcsQ8VDu5Kk/nja9yKAWDdw/FsOVKIRnGZUz7TYB0FE8w5L0qRGoqZpiRLUlZWhvj4ePTvzw6x79+/Py5cuMB5jlwuh0TCDomXSqWIi4uDojx8Pzw8HPHx8YwiuH//Po4fP84oAW2f06dPIylJ8yZ1/fp1nD9/HoMGDbLY/b3MKFVqbP79Lt7dccksM4YltytqJ9b9k8MQ2belxh9Qg/HHdKxBzQQjk+roztx1lmtKJ18nxhRltHxmZXTNORN+07S9f84kxazdhRQe5IjWXrbU8dyIqbcVQ3Z2NlQqFdzc3Fjtbm5uBus6REREYMeOHRg2bBiCg4MRHx+PnTt3QqFQIDs7G+7u7hg1ahSePn2K8PBwEEKgVCoxbdo0LF68mBln0aJFyMvLQ+vWrSEQCKBSqbB69Wq88847BuWVy+WQyyvC87WpxxUKBaOUdNG2cR1rqFhK5q2xydgaew8EwJWUp+ARFab1NuGNX6XW7PXnarfEMzZzfBaEQMF1LgeLFFMQGtIZb4d4aTKU2jUDnvzDnM8ax5Rr6yKw5rwHZV42hE0qxpka3gw8okJCai6CmzliSngz059TeUlPTf80KGRe5slYTzS2v7m6ltec6/AIqeUctQZ4/PgxPD09ceHCBXTt2pVpX716Nfbt24fbt2/rnVNSUoIZM2Zg3759IITAzc0N7777LtatW4fMzEy4uroiNjYWo0aNwqeffoqwsDDcu3cPkZGRmDJlCpYtWwYAOHToEBYsWIAvvvgCbdq0wbVr1zBnzhxs2LAB48Zxl0dZsWIFVq5cqdf+3Xffwdq6EYTgUyiUl5ri4mKMHj0aeXl5sLMzXHoVqEfFUFZWBmtra/zwww+s3UyRkZG4du0azp49a/BchUKBzMxMuLu7Y/v27Vi0aBGeP38OPp+PHj16oEuXLvjiiy+Y/vv378fUqVNRWFgIPp8Pb29vLF68GDNmzGD6fPrpp9i/fz+nQgK4Vwze3t7Izs7mfMgKhQIxMTHo168fRA0sqtEQlpJ5a2wyospXDDwA03u3MG3F8CxFs2e+MqMOAof0V3OKSbGIuZJUpbxKlRrR51LwKDkRq7Om6Xd4/5zxPELGZONi+A4gYIBe83fHY+GAYuyPT4dSTTCscwBGD+xl2pi6PPkH2KXv0fihfTTeft2op8Msqv378CyFXRbUyhZqR1/cyyhGTr4CznYitHC3tripqbH9zdW1vPn5+XBxcTFJMVTblBQfH49bt26Bx+MhMDAQwcEcTj0jWFlZISQkBDExMSzFEBMTg6FDhxo9VyQSwctLkzv+0KFDeOONN8Avz/xYXFzM/F+LQCAAIQRaHWioj7GdV2KxGGKxfuIrkUhk9Ida1fGGSE1lnv5qKxCegHH8Tjc1KZxbK00gVeVdQ/ICQF2q319dYpK8UWfvYtPpZBCIcZm3GlPC3DC6s3fF+KY4tjlk+/XcZQy+NV+/r5M3Z4qDERE9cerkCdj4dERHHxeMMaOoDwsBn/N5JD7ON/5zq+aOLLN+H3KSga36xWeS3z6HpAKN2TinSA6BQFhrUdGN7W+uruQ15xpmK4asrCyMGjUKsbGxcHBwACEEeXl56NOnDw4dOmRWec+5c+di7NixCA0NRdeuXbF9+3akpqbigw8+AAAsWbIE6enpTKxCUlIS4uLiEBYWhtzcXGzYsAE3b97Enj17mDEHDx6MDRs2oGPHjowpadmyZRgyZAgEAgHTZ/Xq1WjWrBnatGmDq1evYsOGDZg4caK5j4PCQY3SR3NNVI+vmTdGpQkw9e59EGiUegpxx/FsF4yuXHugGrIN7E6MZdHWQ6sEot8LrZWJwGgMQvIZYN8w/XbtjiwupWFXjdrKBhz56Rk5gG2FP7HGdZIptYrZimHWrFnIz8/Hv//+i8DAQABAYmIixo0bh9mzZ+PgwYMmjzVy5Ejk5ORg1apVyMjIQNu2bXH8+HH4+PgAADIyMpCamsr0V6lUWL9+Pe7cuQORSIQ+ffrgwoUL8PX1ZfosXboUPB4PS5cuRXp6Opo0acIoAi1fffUVli1bhunTpyMrKwseHh54//338fHHH5v7OCgNDY4tqesBJPDWI4W4m7xDx5RI55ps7awRBsYf0a01d/+cZG6lAGgmckPbeKddrp58HChVbIt1teskU+oEsxXDiRMn8PvvvzNKAQCCgoKwZcsWva2npjB9+nRMnz6d89ju3btZ3wMDA3H16lWj4wmFQixfvhzLly832Ecmk2HTpk3YtGmTueJS6gNDE60VhynCwBvrlDA3HM92MblmgqkpNZTTr+D7C7eR+DgPQR72GNGtNYS1HaRlIJWHwetWsR1XWZLPPRHo+gmqQrviyE4y2k0k4KGFuzWNcWjgmK0Y1Go15zJYJBLRlBKU2sFQTqPymsS1QeXspnEpOdALNstJxvcXbuO7Sw81CiStFE9tWyOSo8qtUqXG1thk+EDjnJ/+aiuj/oUqVywWVD7fX3mE0TUZwNCKQwelUKMIWrhb04yrjQCzFcOrr76KyMhIHDx4EB4eHgCA9PR0fPjhh3jttdcsLiCFAoB7IjRjX/Z3lx7ipk4hHNbbP4d9XV1pr17l79rJcDSA0Tp7Eubd3QVw+Fe2nNHEdqztDM2OLZ7AqB/GpBWLJRDLkPjYcAEhkzC0IhkeDbVIivScUjThlaGl5D58JE0AtKjZ9Si1jtmK4euvv8bQoUPh6+sLb29v8Hg8pKamol27dti/f39tyEh5ATEpLXZ1MGB2KoQmKEwvPYSBt113t50AKgLJ9LKdGpgMQ9xFFePqOcCtuGXgwOQkgKZgyBQ39ijg7I+W3g80KT4qw2WqMweRNfiHx8AbACtBP02M1+AxWzF4e3sjISEBMTExuH37NgghCAoKQt++HOtnCsUAtfZGzGF22hOfg4d/abZ36jmfDUzwoe5W+PkhmFiMzn7OJl1+RKiXQQf4Td4GAC4mOcANJgGsDlWkFx8zqA/24Eh5cR57jAj10jjWa2qq05YPrcyLWpHtBcJsxbB3716MHDkS/fr1Q79+/Zj2srIyHDp0CO+9955FBaS8mFj0jbgyld5Gx7ip8VyqX4rTGCN8i6EQuCAm09bkcwBAyOcZnPjGhTYBQDC9dwtMr2I8ziSANcHIG7pQwMe4wRxmYFNNdYZWJCKaEaCxYrZimDBhAgYMGABXV1dWe0FBASZMmEAVQyOg1sw4ZmDRN+Iq0MZVaO97/K7LFfdt6JyjUzEOwDhDZg9jRWUMKIa3Q7xwPCEN03pzPO9KpiehWFaxgspJBjJvsK9Rm6YYrSza5Ifa0p6GMLQioSuDRovZioEQAh5HKPujR4+Y6m6Uhk2dOTaNYPE3YhPgvO+OVcQcGJrcjJlnqhOQZygdOGCxVORmy8KXAJVLexqC65ihsqa0IluDx2TF0LFjR/B4PPB4PLz22msQCitOValUSElJwYAB+vlhKA2PWjXjmEiNoqOrCed99w3TTLLp8cCRKeYNaGiiNDTx5aVzt1cnHXhtvY1bMPW5OaVTKQ0LkxXDsGHDAADXrl1DREQEbG0rdixYWVnB19cXb731lsUFpFieujTjNAS0JqTUZxXOUNZ9O/tbdqLVTohZt9glOI9M1ryBV2WaeZGgSqBRYrJi0EYS+/r6YuTIkXoFcyiNh/ow49QnuiYkAGjmZI23gr3Y923pQvTGlI05EcUUSj1gto/BUL0CSuOhPsw49YmuCQnQKAau9BbqmfEoK9aZzEU2gI0nUMqR2dUUlASwrdjBr+CJIRQKUaokUOmOybNm9WO1A4aPVSVXbiqgKKr4LrIBHKtIjKcjCyOvjRdUplyvnlEoFBp5S0uhUqnqW5wqsbS8IpGISRRaU+q15jOFUheYYjorKytDSo4KarXuSlgFPE+p/oVVfKD7euYrAQ9NrZyRVigELyUFhBAUyJUoU6gh6bMPNlZ8VOzr4AHPyyeLAd8BLNVWfsyYbCoFUJCh355TCggMJ7AjhKCozz4oVUqIBHw0BZDmswu8qq7XACCEoGnTpkhLS+PcINPQqA15HRwc0LRp0xqPRxUD5YWnKtMZIQQZGRkQCATw9vbWq9VRbZRy4FnFm6AaPBRKPGErFYMvEiO7UA5FoZyJr7azFcPFVr/mR7UoKwGeK/XbHbwBK6nB07QyWQHg8YCmUsDW1tZyz6QWUavVKCwsfCnlJYSguLgYWVmaEHZ3d/cajUcVA+WFp7LpTKlSY/PvdxlFMTW8GYqLi+Hh4WHhMq0SQBIElCeXVIOgrFgBiY0MfD4fZQVK8IRWTO8yIqie705ZylwDAMDnA3wxIOR4a5SIASvD19CVic8DrKwAiUTSaCbasrKyl1ZeqVSj8LOysuDq6lojs5LZiiE2Nha9e/eu9gUplPqmcjyDhK9CT3fN7jpzIIQgq0COIrkSNmIhXGVi/SW8UGcSVqsBVEQT24iFKJQrWd/Nvp5Krtn9VBnHKkqVGqCyTJTGhfbFRqFQ1EgxmK2mBgwYAH9/f3z66adIS0ur9oUplPqicjzDzXRNdlFz7bJZBXJk5peiUK5EZn4psgrkVZ+kg6tMDDc7CWzFQrjZSeAqM25G4ryeuanuq3gz1ZWpSRXyUBoelvJVmK0YHj9+jMjISBw5cgR+fn6IiIjA999/j7KyMosIRKHUNp18naD98+EBaOdZvYj9okpv1rnFZbj/tBCZ+aVMfXFj8Hg8uNlJ0LyJLdzsJFX+UVe+XuXvLARWgGsg4BJQ8XENZK9gqpCpiaX8HZWIjY0Fj8fD8+fPjcpx9OjRGl9rxYoVcHNzs9h4LwtmKwYnJyfMnj0bCQkJuHLlCgICAjBjxgy4u7tj9uzZuH79em3ISXlJ0Nr/391xCZt/vwulyvLFn2b08cecvq0Q3sIFc/q2wshQL+SXKpD2rMjkSR3QN/2UKdXVXj1U53o2YiGePHmCWUvXonnXwRD7hcE7dCAGj4vEz8djcD9XicxSPohIClhZV6kUjNG7d2/MmTOnhndQt9y6dQsrV67Etm3bkJGRgYEDB9a3SI2GGjmfO3TogMWLF8PJyQmff/45du7ciaioKHTt2hXffPMN2rRpYyk5KS8JdZHHqbIzevsft9FcooSkTIWSfM1efTc7SZU+BK3pp0iuRJlKjTJlhRIz+jZfTXSvZyMWojgnA+Hh4XCwlWLdR5FoH9gSCqUSJ2P/xrz583E09jLjL3Czq/2AVEIIVCoVK11OfZKcrMnVNHTo0BqZWBQKBWfVyheZarnCFQoFfvzxRwwaNAg+Pj44efIkvv76a2RmZiIlJQXe3t54++23LS0rpZFQk7f++sjj9E96HitKQDupV+VD0DW7OFqzHdfGHMkPc4rNWplwXc/NToIZM2aAx+MjLi4O/zd+BlqF9Ueb7oPw9oyl2Pu/35nz7ianYOjQobC1tYWdnR1GjBiBzMxM5viKFSvQoUMH7Nu3D76+vrC3t8eoUaNQUKAJ9pswYQLOnj2LzZs3M/nSHjx4wJiETp48idDQUIjFYpw7dw5yuRyzZ8+Gq6srJBIJwsPDcfnyZbPuFQDzli+VSuHn54cffviBdTw9PR0jR46Eo6MjnJ2dMWzYMKSmpjL3NHjwYAAAn89nFINarcaqVavg5eUFsViMDh064MSJE8yYDx48AI/Hw/fff4/evXtDIpEwBch27dqFwMBASCQStG7dGlFRUWbfU2PBbMUwa9YsuLu744MPPkCrVq1w9epV/P3335g8eTJsbGzg7e2Nzz//HLdv364NeSmNAO1b//l72dj0exK2nDGQZZODyvZ/i+RxyknWZDzVfipl/Wznac9cUwwF7IVKoKwYytIiiHV2ERlbBZjiSH5aqFEsRWU1Nzc9e/YMJ06cwIwZM2Bj76wxFZV/rCRS2JVnOiaEYPr40Xj27BmO/L9T2P39/3An6R5GjhzJGi85ORlHjx7FsWPHcOzYMZw9exZr164FAGzatAldu3bFlClTkJGRgYyMDHh7V0RjL1y4EGvWrMGtW7fQvn17LFy4ED/99BP27NmDhIQEtGjRAhEREXj2zDwlv2zZMrz11lu4fv063n33Xbzzzju4dUuzA6u4uBh9+vSBra0t/vzzT5w/fx62trb4v//7P5SVlWH+/PnYtWsXADAyA8DmzZuxfv16/Pe//8WNGzcQERGBIUOG4O7du6xrL1q0CLNnz8atW7cQERGB6OhofPTRR1i9ejVu3bqFzz77DMuWLcOePXvMuqdGAzGTV199lXz33XdELpcb7KNQKEhsbKy5Qzcq8vLyCACSl5fHebysrIwcPXqUlJWV1bFk1cdSMo+Jvkh8Fh1jPmOiL5p8rkKpIptiksiY6ItkU0wSUShVNZM3+x4hy+30P9n3mC4FhUXkYsJ1cv/RE0LSE/Q+t9OyyPW0XJKcVUDUarXJ91KZ+1kFJDc3l/zzKJcZr7pcunSJACBHjhzRO6ZWq8mTvBKSnFVADv98jAgEAhL/bxK5nqa57pHTfxMAJC4ujhBCyPLly4m1tTXJz89nxliwYAEJCwsjubm5RKVSkV69epHIyEjWdc6cOUMAkKNHjzJthYWFRCQSkQMHDjBtZWVlxMPDg6xbt451Xm5ursH7A0A++OADVltYWBiZNm0aIYSQb7/9lgQEBLB+HiUlJUQqlZLffvuNEELIzz//TCpPcR4eHmT16tWstk6dOpHp06cTQghJSUkhAMimTZtYfby9vcl3333Havvkk09I165dDd5DVahUKub5WoqSkhKSmJhISkpK9I5VNWfpYrYxcPny5ejWrZueHVGpVOLChQvo2bMnhEIhevXqVVOdRbEA9VGUpybZWy2ex8mENNJCAR92EhHcZVYAR347frmhqVCuRFaB3KC9vqpnbS0WAGrT4xaMQcrNUFy2c63JCQCOpSbD29sbDk3cGX+Df6vWsLN3wK1bt9CpUycAmuSYMllFwkB3d3cmirYqQkNDmf8nJydDoVCge/fuTJtIJELnzp2Zt31T6dq1q973a9euAQDi4+Nx7949lswAUFpayvgWKpOfn4/Hjx+zZAOA7t27622a0b2np0+fIi0tDZMmTcKUKRWp2ZVK5Qtbg8bs38w+ffogIyNDr4JbXl4e+vTp0yiSV71M1EdRngaVvTXvkeF2jw5mD2fMnFTVs25iK0Z+vhw2VkJYlzuzq0vLli3B4/Fw69YtJiU+F6S8sJZ+4Bq74FZl5yqPx4PaxBgJGxsb1vW053PJUVN0fQUhISE4cOAAc0ybYsLPz3hwnymy6d6T9jlER0cjLCyM1c9SSesaGma/Ohr6Aefk5LAeJqVhUB/OXO1b//7JYYjs27LOy4bqopQXcR8wVKi+Coy95Zv6rH2crauMWyCEIDO/1GBchJOTEyIiIrBlyxYUFRVp0mKUFTOf59lPAABBQUFITU2F/GkqPG0AZysVCh4lIT8vD4GBgSbft5WVlUkvfS1atICVlRXOnz/PtCkUCly5csWs6wHAxYsX9b63bt0aABAcHIy7d+/C1dUVLVq0YD7Nmzc3+BZvZ2cHDw8PlmwAcOHCBaOyubm5wdPTE/fv32ddq0WLFlUqocaKyX+xw4cPx/Dhw8Hj8TB+/Hjm+/DhwzF06FBERESgW7duZgsQFRUFPz8/SCQShISE4Ny5c0b7b9myBYGBgZBKpQgICMDevXv1+mzatAkBAQGQSqXw9vbGhx9+iFKdlMG+vr7M7grdz4wZM8yWv6FTK87cRsRvd/K5D3AVqjcQFexoa1p0siWftSlR1VFRUVCpVOjcuRN+2vU17sbF4Nbfv+HLtSs0ZhhlKfr2Dkf7wJZ4d8woPIw7jvTLxxH5/nj06tmDZS6pCl9fX1y6dAkPHjxAdna2wdWEjY0Npk2bhgULFuDEiRNITEzElClTUFxcjEmTJpn1DH744Qfs3LkTSUlJWL58OeLi4jBz5kwAwJgxY+Di4oKhQ4fi3LlzSElJwdmzZ7F48WI8emRglQhgwYIFWLt2LQ4fPow7d+5g8eLFuHbtGiIjI43KsmLFCqxZswabN29GUlIS/vnnH+zatQsbNmww654aCyabkux1djnIZDImYROgeZvo0qULy/5mCocPH8acOXMQFRWF7t27Y9u2bRg4cCASExPRrJl+3vitW7diyZIliI6ORqdOnRAXF4cpU6bA0dGR2Zp24MABLF68GDt37kS3bt2QlJSE8ePHAwA2btwIALh8+TLr7efmzZvo16/fC7nFtkGZdeqBSzlSDOY6YO+l3yYUI9vaH7mFFS8RavDgwLdC8yZVxwFY8lmbEuXs5+eHhIQErF61EvNWbUBGVjaaODkipH0gtq75D6BWgwfg6M71mLV0HXoOnww+n48Bvbvhqy+/1KwuTEzeNn/+fIwbNw5BQUEoKSlBSorhFNyff/451Go1xo4di4KCAoSGhuLkyZNwdHQ06xmsXLkShw4dwvTp09G0aVMcOHAAQUFBADQ5gf78808sWrQIw4cPR0FBATw9PdGjRw/Y2dkZHHP27NnIz8/HvHnzkJWVhaCgIPzyyy9o2dK4eXXy5MmwtrbGF198gYULF8LGxgbt2rVrdEF/psIjldeoVbBy5UrMnz/fImajsLAwBAcHY+vWrUxbYGAghg0bhjVr1uj179atG7p3744vvviCaZszZw6uXLnCLA9nzpyJW7du4fTp00yfefPmIS4uzuBqZM6cOTh27Bju3r1rsh00Pz8f9vb2yMvL4/xFVCgUOH78OAYNGtRogmMam8ymyLvn19MYFz9c/8CsBKbsZGlpKVJSUuDn54fHBUq9JHK2YiGaN7HVH8NM1Go18vPzYWdnV2U2zcz8UmTmVygoNzuJ4SC1smIg+45+u0uA5l+uY7oYSJVhjrwNASov+3e5cqbequYsXaq1K8kSlJWVIT4+HosXL2a19+/fHxcuXOA8Ry6X692sVCpFXFwcE50YHh6O/fv3Iy4uDp07d8b9+/dx/Phxg5XnysrKsH//fsydO7dRFPegmMeYQX2wB0dwNy0DQR72GBHqBaHUzmAtYq7sojXZPVRdKkc518RRXSXmJuKjvPCY9BsfHByM06dPw9HRER07djQ6gSYkJJh04ezsbKhUKri5ubHa3dzc8OTJE85zIiIisGPHDgwbNgzBwcGIj4/Hzp07oVAokJ2dDXd3d4waNQpPnz5FeHg4CCFQKpWYNm2angLScvToUTx//pwxNxlCLpdDLq+w8+bna2zXCoUCCoVCr7+2jetYQ6WxyWyqvKMH9GT+T1Ce+FrnHIVCAUII1Go1mthKAELwvERz3EEqQhNbK5N36BjiaaEcJWUqOAjBXKsqmthaoYmtJqKaEGI4UprHB8DxN8nTvoVW9cJDOJWD9nqmylvfUHk1qxBCCGfabXP+rk1SDEOHDoVYrHljMbY1rjqYs61t2bJlePLkCbp06QJCCNzc3DB+/HisW7eOeQixsbFYvXo1oqKiEBYWhnv37iEyMhLu7u5YtmyZ3pjffvstBg4cCA8PD6NyrlmzBitXrtRrP3XqlNHiLjExMUbHbYg0NplrKq9QKETTpk1RWFiIsrIyiAG4aRemRI78/JonxBMD0C48tKkmLIq1r35bUanhY7oUK6BbJ6IytSJvLfIyy1tWVoaSkhL8+eefUCrZK9/iYtN34pnlY1CpVDh//jzat29vtiOpMmVlZbC2tsYPP/yAN998k2mPjIzEtWvXcPbsWYPnKhQKZGZmwt3dHdu3b8eiRYvw/Plz8Pl89OjRA126dGH5Ifbv34+pU6eisLCQZct7+PAhmjdvjiNHjmDo0KFG5eVaMXh7eyM7O9ugjyEmJgb9+vVrFPZ6oPHJbCl5S0tLkZaWBl9f3+pVUDOEqgx4WpEahoCPAutmkBWnggc14NQcsDLfd/G0UI6nOruUmsjEpqXIVsq5/Q1NWmvSdFeCEIKCggLIZLJGYWal8mp+lx88eABvb29OH4OLi4vlfQwCgQARERG4detWjRWDlZUVQkJCEBMTw1IMMTExVU7SIpEIXl6aXSWHDh3CG2+8wUz4xcXFeo4cgUDAuRTftWsXXF1d8frrr1cpr1gsZlZNlWUxNilVdbwh0thkrqm8KpUKPB4PfD7fsk5LpRrQSc+nhsZcwINaE039LFnf8ctVprOSY7hIroKasL+72Zkgt5UUcG1d5fiMvOX9tM+moUPlrUgYyPU3Yc7fiNletXbt2uH+/fsWCeyYO3cuxo4di9DQUHTt2hXbt29HamoqPvjgAwDAkiVLkJ6ezsQqJCUlIS4uDmFhYcjNzcWGDRtw8+ZNViKrwYMHY8OGDejYsSNjSlq2bBmGDBnCsrmp1Wrs2rUL48aNq7M0wfWRnqKueRnu0aLoTtLKUu4ynZWUh7klQVnUoCYD5eXB7Blx9erVmD9/Pj755BOEhITobVutaomiy8iRI5GTk4NVq1YhIyMDbdu2xfHjx+Hj4wNAkxVRm0YX0LzZrV+/Hnfu3IFIJEKfPn1w4cIF+Pr6Mn2WLl0KHo+HpUuXIj09HU2aNMHgwYOxevVq1rV///13pKamYuLEieY+gmpTH+kp6pr6uscXQiEZckBWaq/THUuUlxKzFcOAAQMAAEOGDGHZxbROY3NzJU2fPh3Tp0/nPLZ7927W98DAQFy9etXoeEKhEMuXL69yW23//v3NzodfU+ojPUVdU1/32CCVbi2ZM3g8HlxlYmRBoxyyAL0iQhRKTTBbMZw5c6Y25HgpqEnW0cZCfd1jg1S6QonGDKRWA4oiIC9dv081lYc2ZQaAOq3SRnk5MFsx0HTa1edlSE9RX/fYYJWu1qZvZQ1YyTRbSF1aAuDpO34NKQmOdlNSZjRUYmNj0adPH+Tm5sLBwaHa4xw9ehTz589HSkoKZs2a9cLmLaoPqu11LS4uRmpqKsrKyljt7du3r7FQLyoWrzXQAKmve2wUSldgBaAUEEq5lYDuCkOLgV1DWgd0dlYmor9ajwtnYvAk4zFcXV3RoUMHzJkzB6+99prFRO/duzc6dOiATZs2WWzMmvL+++9jwoQJmD17NmQyGSZMmIDs7Gz8+uuv9S1ao8dsxfD06VNMmDABv/32G+dxWo+BUh/UVCERQpBdKEdZQYVDt15s9ibuGnKViZH68CFGv94H9g4O+O8X6/DKK69AoVDg5MmTmDFjhuXK6ypLAKIGVArNzikDMhJCoFKp6mSXX2FhIbKyshAREVFlcKq5lJWVwcpKP67jZcJsA+ecOXOQm5uLixcvQiqV4sSJE9izZw9atmyJX375pTZkpFBqnQK5EjmFcqNprhsSPB4Pyxd9CKGAj4Qrl/H222+jVatWaNOmDebOncuqZZCamoqhQ4fC1tYWdnZ2GDFiBDIzM5njK1asQIcOHbBv3z74+vrC3t4eo0aNQsHzHADAhHffwdk/z2Hz11HgiaTg8Xh48OABYmNjwePxcPLkSYSGhkIsFuPcuXOQy+WYPXs2XF1dIZFIEB4ejsuXL5t1fxs2bEC7du2YOvLTp09HYaGmvF5sbCxTue3VV18Fj8dD7969sXfvXhw/fhwCgQA8Hg+xsbEAgPT0dIwcORKOjo5wdnbG0KFD8eDBA+Za48ePZxJ3enh4oFWrVtX5kbxQmK0Y/vjjD2zcuBGdOnUCn8+Hj48P3n33Xaxbt44zIyqF0hgoU7C3hDZ0m/2zZ89w4sQJzJgxgzPTsdZ2TwjBsGHD8OzZM5w9exYxMTFITk7GyJEjWf2Tk5Nx9OhRHDt2DMeOHcPZs2exdt06AMCmVQvQNaQ9pox5ExlXTyHjoaZcqJaFCxdizZo1uHXrFtq3b4+FCxfip59+wp49e5CQkIAWLVogIiICz56ZviGAz+fjyy+/ZOKU/vjjDyxcuBCAJsvynTuaCO6ffvoJGRkZ+OWXX/D222/jtddeQ3p6OjIyMtCtWzcUFxejT58+sLW1xZ9//onz58/D1tYWAwYMYJnBT58+jVu3biEmJgbHjh0zWc4XFbPXfEVFRUxZTycnJzx9+hStWrVCu3btTE6gR6E0NKxE7HckQ0FjhBBkFchZMQSVt20bO24p7t27B0IIU9HMEL///jtu3LiBlJQUZjLft28f2rRpg8uXLzM1n9VqNXbv3s28iY8dOxZ/nInFwsUfwd5OBisrEawlEjR1dQFcmgI6waKrVq1Cv379AGjmh61bt2L37t0YOHAgAE1JzJiYGHz77bdYsGCBSfenW+fAz88Pn3zyCaZNm4aoqChYWVmx5qCmTZsC0GRaFovFaNq0KRNJvH//fvD5fOzYsYP5OezatQsODg6IjY1F//79AWgKDO3YseOlNyFpMVsxBAQE4M6dO/D19UWHDh2wbds2+Pr64ptvvoG7u3ttyEih1DoysRB2tmKUEYHRoDFj20TVhCDhfh6y88sgEfPhKBOwjlsKQghyyosJ5ZUojCaevHXrFry9vVlv+EFBQXBwcMCtW7cYxeDr68soBQBwd3dHVtZTk+TRrQSXnJwMhUKB7t27M20ikQidO3fGrVscUd0GOHPmDD777DMkJiYiPz8fSqUSpaWlKCoqMqsWTHx8PO7du8e6N0CTUyg5OZn53q5dO6oUdDBbMcyZMwcZGRkANLUZIiIicODAAVhZWekFpFEo1aE+oph5PB5cbMVVJtEztk00Kb0IaU81vokSuWYThkxieZNUVoEctk28wePxcPXGTQx8Y4hB5WNIaVRur5xHh8fjQU0MRGJX2lGlO1Frg0bNyZpcmYcPH2LQoEH44IMP8Mknn8DJyQnnz5/HpEmTzE4Jr1arERISggMHDugda9KkCec9UKqhGMaMGcP8v2PHjnjw4AFu376NZs2awcXFxaLCUV5OGmQUcznG8hRl57MnrVK5ulaK/BTJlbB3dES3Xq/i0J5vMW7qNBTJZSzT1fPnz+Hg4ICgoCCkpqYiLS2NWTUkJiYiLy8PgYGBVVypfCJ3aQkra3uorOwNVnvT0qJFC1hZWeH8+fMYPXo0AE0W3CtXrphcBvPKlStQKpVYv349YxL6/vvvqzzPyspKb1dkcHAwDh8+DFdXV7PS9bzs1Pg1zNraGsHBwVQpUCxGg4xiLsdVJoabnQS2YiHc7CQsk5OLHfut28XOqlbyGGmVzX9Wr4darcLbA1/F0Z+PIO76vzh/5Tq+/PJLdO3aFQDQt29ftG/fHmPGjEFCQgLi4uLw3nvvoVevXiwTkFGEUvg298elK/F48OgJsrOzDRaWsbGxwbRp07BgwQKcOHECiYmJmDJlCoqLizFp0iSTLufv7w+lUomvvvoK9+/fx759+/DNN99UeZ6vry/+/fdf3LlzB9nZ2VAoFBgzZgxcXFwwdOhQnDt3DikpKTh79iwiIyPx6NEj0+7/JcSk15m5c+eaPCCNPqTUFHOjmJUqNaLO3q0T0xOPxzNotmnlqTFHZOcr4GInQitPm1pxPGuVjW1Lf/x06k9EbfwC6z9ZiqdZmXB2dkHnTqFMHXUej4ejR49i1qxZ6NmzJ/h8PgYMGICvvvrKrGvOnz8f48aNQ1BQEEpKSpCSkmKw7+effw61Wo2xY8eioKAAoaGhOHnypMmp+jt06IANGzZg7dq1WLJkCXr27Ik1a9bgvffeM3re5MmTcfr0aXTu3BmFhYU4c+YMevfujT///BOLFi3C8OHDUVBQAE9PT7z22mt0BWEEkwr19OnTx7TBeDz88ccfNRaqMVBVYW1TCtU3NBqKzKb6GLTyPrQOwMbTyYwimdO3lVmmJ2MF1C1JbRR/z8wvZZzhgMbRbSlnd23IW5tQeY3/Llc1Z+li0oqBJs6j1CXmRjEnpObWmumprrafVheagptSG9RNhRoKxQzM3ZUU3MwRZ+8+q5UEeg09i6kx0xaFUl1MUgzDhw/H7t27YWdnh+HDhxvte+TIEYsIRnl5MXdX0pQefiA8Qa0k0GvMWUwplOpikmKwt7dnls/29va1KhCFYu6upNrM6FqjMpoUSiPFpN/yXbt2cf6f8vJSm0FoDam2ArXhU15G6OsPpVrUZhBaQ6qtQG34lJcRsxVDTk4OPv74Y5w5cwZZWVl6gS7mZFCkNF5qMwjtZShoRKE0ZMxWDO+++y6Sk5MxadIkuLm5Naite5S6oyGZeygUimUxWzGcP38e58+fxyuvvFIb8lAaCQ3J3EOhUCyL2d7C1q1bo6SkpDZkoTQitOae/ZPDENm3Za1nP6U0PrSV0RoLDx48AI/Hw7Vr12o0DiEEU6dOhZOTk0XGqw/M/muOiorCRx99hLNnzyInJwf5+fmsD4VCqRvGjx8PHo+n9xkwYEB9iwYA2Lx5c4NJxa/NGVUXnDhxArt378axY8eQkZGBtm3b1sl1LYnZpiQHBwfk5eXh1VdfZbVr861XTntLoVBqjwEDBuhtIReL63dLrUqlAo/He2ljnpKTk+Hu7o5u3bpVewxCCFQqFYTC+tk4avaKYcyYMbCyssJ3332H06dP448//sAff/yBM2fOVCuBXlRUFJPwKSQkBOfOnTPaf8uWLQgMDIRUKkVAQAD27t2r12fTpk0ICAiAVCqFt7c3PvzwQ5SWlrL6pKen491334WzszOsra3RoUMHxMfHmy0/hVKfaEtZ6n60WUxjY2NhZWXF+ptav349XFxcmGJbvXv3xsyZMzFz5kw4ODjA2dkZS5cuhW5uzbKyMixcuBCenp6wsbFBWFgYYmNjmeO7d++Gg4MDjh07hqCgIIjFYjx8+FDPlNS7d2/MmjULc+bMgaOjI9zc3LB9+3YUFRVhwoQJkMlk8Pf3x2+//ca6x8TERAwaNAi2trZwc3PD2LFjkZ2dzRp39uzZWLRoEfz8/ODh4YEVK1Ywx319fQEAb775Jng8HvPdELdv30a3bt0gkUjQpk0b1r1WJc/48eMxa9YspKamsq4ll8sxe/ZsuLq6QiKRIDw8HJcvX2bGjI2NBY/Hw8mTJxEaGgqxWIxz586BEIJ169ahefPmkEqleOWVV/Djjz8ald8iEDORSqXk9u3b5p7GyaFDh4hIJCLR0dEkMTGRREZGEhsbG/Lw4UPO/lFRUUQmk5FDhw6R5ORkcvDgQWJra0t++eUXps/+/fuJWCwmBw4cICkpKeTkyZPE3d2dzJkzh+nz7Nkz4uPjQ8aPH08uXbpEUlJSyO+//07u3btnsux5eXkEAMnLy+M8XlZWRo4ePUrKyspMHrO+aWwyW0rekpISkpiYSEpKSiwkGTcqlYrk5uYSlUplkfHGjRtHhg4darTPggULiI+PD3n+/Dm5du0aEYvF5MiRI8zxXr16EVtbWxIZGUlu375N9u/fT6ytrcn27dsZed955x3SrVs38ueff5J79+6RL774gojFYpKUlEQIIWTXrl1EJBKRbt26kb/++ovcvn2bFBYW6snXq1cvIpPJyCeffEKSkpLIJ598Qvh8Phk4cCDZvn07SUpKItOmTSPOzs6kqKiIEELI48ePiYuLC1myZAm5desWSUhIIP369SN9+vRhjWtnZ0eWL19Orly5Qnbt2kV4PB45deoUIYSQrKwsAoDs2rWLZGRkkKysLM5nlZKSQgAQLy8v8uOPP5LExEQyefJkIpPJSHZ2tknyPH/+nKxatYp4eXmxrjV79mzi4eFBjh8/Tv79918ybtw44ujoSO7fv09UKhU5c+YMAUDat29PTp06Re7du0eys7PJf/7zH9K6dWty4sQJkpycTHbt2kXEYjGJjY3lvAdjv8tVzVm6mK0YevToQWJiYsw9jZPOnTuTDz74gNXWunVrsnjxYs7+Xbt2JfPnz2e1RUZGku7duzPfZ8yYQV599VVWn7lz55Lw8HDm+6JFi1jfqwNVDPVPg1MM2fcISb9a8clmv2jUhmIQCATExsaG9Vm1ahXTRy6Xk44dO5IRI0aQNm3akMmTJ7PG6NWrFwkMDCRqtZppW7RoEQkMDCQqlYokJCQQHo9H0tPTWee99tprZMmSJYQQjWIAQK5du6YnX2XFoPt3p1QqiY2NDRk7dizTlpGRQQCQv//+mxBCyLJly0j//v1Z46alpREA5M6dO6xxdZ9vp06dyKJFi5hzAJCff/7Z6PPUKobPP/+caVMoFMTLy4usXbvWZHk2btxIfHx8mOOFhYVEJBKRAwcOMG1lZWXEw8ODrFy5kqUYjh49yjpPIpGQCxcusK43adIk8s4773Deg6UUg9kGrFmzZiEyMhILFixAu3bt9PL2t2/f3qRxysrKEB8fj8WLF7Pa+/fvjwsXLnCeI5fL9XKMS6VSxMXFQaFQQCQSITw8HPv370dcXBw6d+6M+/fv4/jx4xg3bhxzzi+//IKIiAi8/fbbOHv2LDw9PTF9+nRMmTLFoLxyuRxyuZz5rnW0KxQKzjq02jZza9RaCqVKjehzKUhIzUVwM0dM6eFX5c6h+pbZXCwlr0KhACEEarXaYGWyKslJBn+LfkU09YwrgLNmKy8pN89or1VTCCHo3bs3oqKiWO1OTk7M+EKhEHv37kWHDh3g4+ODDRs26F07LCwMRPOSyHxfv349lEolrl+/DkIIWrVqxTpHLpcz11Gr1bCyskLbtm1ZY2vH1G1r164d853H48HZ2Zl1nrYO85MnT6BWq3HlyhWcOXMGtra2evd/9+5dtGjRghlX9/k2bdoUmZmZrGtX9fPVHgsLC2P+z+fzERISgsTERJPl0cqhHePu3btQKBTo2rUr0yYQCNCpUyckJSWxnlFwcDDz/5s3b6K0tBT9+vVjXaesrAwdO3bkvBe1Wg1CCBQKBQQCAeuYOX8nZiuGkSNHAgAmTpzItPF4PLOdz9nZ2VCpVHBzc2O1u7m54cmTJ5znREREYMeOHRg2bBiCg4MRHx+PnTt3QqFQIDs7G+7u7hg1ahSePn2K8PBwEEKgVCoxbdo0lgK6f/8+tm7dirlz5+I///kP4uLiMHv2bIjFYoNVotasWYOVK1fqtZ86dQrW1tYG7zMmJsaUx1Er+ADwcQFQnIVTJ++YfF59ylwdaiqvUChE06ZNUVhYiLKysmqNIch9AhlHe1HuE6hETVhtBQUF1bpGZRQKBcRiMVxdXfWO6e4Q1Pr+cnJy8PDhQ3h5eTHHlEolFAoFq792O3pBQQHUajUEAgHOnDmjN9HY2NggPz8fpaWlkEgkevelUCigVCqZsZVKJQghrGuRcidr5R2NRUVFyM/PR1lZGQYMGMDyGWhxc3NDfn4+M672+gUFBVCpVJDL5Xr3ZWznZGFhIevaus9Iex+myFNaWsoU4dHKox1fd1yFQgEej4eCggIUFxcDAOd5hw8fhru7O+taVlZWnPdSVlaGkpIS/Pnnn1Aq2ZmAtdcwBbMVg7GSftWhcuS0VsFwsWzZMjx58gRdunQBIQRubm4YP3481q1bx/zSxsbGYvXq1YiKikJYWBju3buHyMhIuLu7Y9myZQA0Dz80NBSfffYZAKBjx474999/sXXrVoOKYcmSJawSp/n5+fD29kb//v0NVnCLiYlBv3796qUa2pS9V/D3/Rzme9fmzoh+z3iN3/qW2VwsJW9paSnS0tJga2tb/QpuRfpvkABgY2MLlP9+aCcvmUxmkYwBIpEIQqHQaDWu5ORkfPTRR9i2bRt++OEHzJo1CzExMUzFMKFQiISEBNYYN27cQMuWLeHg4ID27dtDpVKhuLgYPXr04LyGRCIBj8fTk6OyfEKhEFZWVqx+fD4fEolE71ypVAo7Ozt07twZR44cQdu2bQ3u0NGOK5PJmOcrFAohEomYcUUikd61K6NdBdy8eRMDBw4EoFEKN27cwIwZM0yWRyKRgM/nM9fq0KEDrKyscP36dbRp0waA5nf3+vXreP/99yGTyZiXS5lMxpzXqVMniMViZGdnM/JURWlpKaRSKXr27MlZwc1UzFYMPj4+5p7CiYuLCwQCgd7qICsrS28VoUUqlWLnzp3Ytm0bMjMz4e7uju3bt0Mmk8HFxQWARnmMHTsWkydPBqBZYhYVFWHq1Kn46KOPwOfz4e7ujqCgINbYgYGB+OmnnwzKKxaLObcBikQio5NSVcdri44+LqziNR19XEyWo75kri7myMuVFVYkEoHH44HP51e/xKKBiZ7P4wHlY+qaUCxRypHH46GsrAxZWVmsdqFQCBcXF6hUKowbNw79+/fHpEmT8Prrr6Ndu3bYuHEjFixYwPRPS0vD/Pnz8f777yMhIQFff/011q9fDx6PhxYtWmD06NEYP3481q9fj44dOyI7Oxt//PEH2rVrh0GDBjH3UvmetHEVuu1c987Vpv1ZzJw5Ezt27MCYMWOwYMECuLi44N69ezh06BCio6OZF0LttXT/rzuur68vzpw5gx49ekAsFnPWn9b2jYqKQqtWrRAYGIiNGzciNzcXkyZNMlkerRza8WQyGaZNm4ZFixbBxcUFzZo1w7p161BcXIyxY8ey5NT9HbS3t8f8+fMxb948AEB4eDjy8/Nx4cIF2NrasszjuvfA4/E4/ybM+Zs2STH88ssvGDhwIEQiEX755RejfYcMGWLSha2srBASEoKYmBi8+eabTHtMTAyGDh1q9FyRSMQshw8dOoQ33niDeZjFxcV6v2QCgYBlQ+3evTvu3GGbVpKSkiym9BoCNGUFN1xZYd8P9675wGIuQ5KRdgtx4sQJPTNDQEAAbt++jdWrV+PBgwf49ddfAQBNmzbFjh07MGLECPTr1w8dOnQAALz33nsoKSlB586dIRAIMGvWLEydOpX5e9m5cyc+++wzzJs3D+np6XB2dkbXrl0xaNCgWr03APDw8MBff/2FRYsWISIiAnK5HD4+PhgwYIBZynX9+vWYO3cuoqOj4enpiQcPHhjs+/nnn2Pt2rW4evUq/P398b///Y958ayuPJ9//jnUajXGjh2LgoIChIaG4rfffoODg4NRuT/55BO4urpizZo1uH//PhwcHBAcHIz//Oc/Jt97tajSPU0I4fF4JDMzk/m/oQ+fzzdlOAbtdtVvv/2WJCYmkjlz5hAbGxvy4MEDQgghixcvZu1YuHPnDtm3bx9JSkoily5dIiNHjiROTk4kJSWF6bN8+XIik8nIwYMHyf3798mpU6eIv78/GTFiBNMnLi6OCIVCsnr1anL37l1y4MABYm1tTfbv32+y7HRXUv1THXnHRF8kPouOMZ8x0Rcb7a4kS9CrVy8SGRnJeawhymsMKm8d70qq7Nm3FCNHjkROTg5WrVrFhI4fP36ceXPPyMhAamoq01+lUmH9+vW4c+cORCIR+vTpgwsXLrACVpYuXQoej4elS5ciPT0dTZo0weDBg7F69WqmT6dOnfDzzz9jyZIlWLVqFfz8/LBp0yaMGTPGYvdGaZjUalZYZ7oqo7wY1HuhnunTp2P69OmcxyrnWQkMDMTVq1eNjicUCrF8+XIsX77caL833ngDb7zxhlmyUho/XCY2paJ6O5EolBcVkxXDpUuX8OzZM5Z3fO/evVi+fDmKioowbNgwfPXVV/Wep4VCMQZXESBl4wjbqBUqp3ugUAAzciWtWLECN27cYL7/888/mDRpEvr27YvFixfj119/xZo1a2pFSErjRKlSY/Pvd/HujkvY/PtdKFWWM0NSKJTaw+QVw7Vr1/DJJ58w3w8dOoSwsDBER0cDALy9vbF8+XLOwA/Ky0lt1oWmUCi1h8krhtzcXFZ8wdmzZ1l53zt16oS0tDTLSkdp1NRmXWgKhVJ7mKwY3NzcmKjnsrIyJCQkoGvXrszxgoKCRhUURal9Ovk6QRv2RetCUyiNB5NNSQMGDMDixYuxdu1aHD16FNbW1qwQ+Rs3bsDfn27Xo1TQkIPsdCOgeza3R3hTUvVJFMpLgsmK4dNPP8Xw4cPRq1cv2NraYs+ePbCysmKO79y5E/37968VISmNE64dQA0FXf9HSmYuXhnkUd8iUSgNBpNNSU2aNMG5c+eQm5uL3NxcVhoLAPjhhx+qjB2gUBoKuv4PAChT0B1TlqZyBbcXhe3bt8Pb2xt8Ph+bNm2qb3FqBbMzednb2+ul3wU0OeB1VxAUSkNG1/8BAFaimie1q2vGjx/PShin/ehuCqlPNm/erBekWl/weDwcPXq0xuPk5+dj5syZWLRoEdLT0zF16lT07t0bc+bMqfHYDYl6j3ymUOoDXf9Hz+b2kIkb54phwIAB2LVrF6utvoNMVSoVeDwe7O3t61WO2iA1NRUKhQKvv/66XvLCmlJWVtZgXq4b32sShWIBtP6P/ZPD8F43X4vUR6gPxGIxmjZtyvpoU0rHxsbCysoK586dY/qvX78eLi4uyMjIAAD07t0bM2fOxMyZM+Hg4ABnZ2csXbqUyawKaCashQsXwtPTEzY2NggLC2NFTO/evRsODg44duwYgoKCIBaL8fDhQz1TUu/evTFr1izMmTMHjo6OcHNzw/bt21FUVIQJEyZAJpPB398fv/32G+seExMTMWjQINja2sLNzQ1jx45FdnY2a9zZs2dj0aJF8PPzg4eHByueSptL7c033wSPx2PlVqvMokWL0KpVK1hbW6N58+ZYtmwZU/ls9+7daNeuHQCgefPm4PF4GD9+PM6ePYvNmzczKzZt5taq5H711VexYMECzJs3Dy4uLnqV2uoTqhgolBcUrYlj7NixyMvLw/Xr1/HRRx8hOjqa9ba7Z88eCIVCXLp0CV9++SU2btyIHTt2MMcnTpyIv/76C4cOHcKNGzfw9ttvY8CAAbh79y7Tp7i4GGvWrMGOHTvw77//claV017LxcUFcXFxmDVrFqZNm4a3334b3bp1Q0JCAiIiIjB27Fim2lhGRgZ69eqFDh064MqVKzhx4gQyMzMxYsQIvXFtbGzw+++/4/PPP8eqVauYyn6XL18GAOzatQsZGRnMdy5kMhl2796NxMREbN68GdHR0di4cSMATdLP33//HQAQFxeHjIwMbN68GV27dsWUKVOQkZGBjIwMeHt7myz3oUOHIBQK8ddff2Hbtm3Gf6B1icXyvb5k0LTb9Y+l5LVY2u2ip4TkPar4FD1lHbZ0muVx48YRgUBAbGxsWJ9Vq1YxfeRyOenYsSMZMWIEadOmDZk8eTJrjF69epHAwECiVquZtkWLFpHAwECiUqlIQkIC4fF4JD09nXXea6+9RpYsWUIIIWTXrl0EALl27ZqefEOHDmVdKzw8nPmuVCqJjY0NK7V+RkYGAUD+/vtvQgghy5YtI/3792eNm5aWRgCQO3fusMbVfb6dOnUiixYtYs4BQH7++ecqn2ll1q1bR0JCQpjvV69eJQBYqf65UpebKne7du0ab9ptCoVSBcXZwIX1+u3d5gHWLrV22T59+mDr1q2sNienikBCKysr7N+/H+3bt4ePjw/nLpouXbqwTGldu3bF+vXroVKpcP36dRBC0KpVK9Y5crkczs7OrOu0b9++Snl1+wgEAjg7OzPmGQBMdgVtVbr4+HicOXOGKbupS3JyMiNX5Wu7u7vrVbYzhR9//BGbNm3CvXv3UFhYCKVSabQcqCFMlbtjx45mj10XUMVAoVgCpdy8dgthY2ODFi1aGO1z4cIFAMCzZ8/w7Nkz2NjYmDy+Wq2GQCBAfHy83m5E3UlPKpWa5KepnB1BW4ZS97v2utp/Bw8ejLVr1+qNpWsO4xrX3NoxFy9exKhRo7By5UpERETA3t4ehw4dwvr1HAq/CkyVW1vruaFBFQOF8gKTnJyMDz/8ENHR0fj+++/x3nvv4fTp06wylBcvXmSdc/HiRbRs2RICgQDt27eHSqVCVlYWK9NBXREcHIyffvoJvr6+EAqrP12JRCKoVCqjff766y/4+Pjgo48+YtoePnxY5dhWVlZ6Y1tK7vqCOp8plEaMXC7HkydPWB/tzheVSoWxY8eif//+mDBhAnbt2oWbN2/qvQGnpaVh7ty5uHPnDg4ePIivvvoKkZGRAIAWLVpg9OjReO+993DkyBGkpKTg8uXLWLt2LY4fP17r9zdjxgw8e/YM77zzDuLi4nD//n2cOnUKEydOrHKi18XX1xenT5/GkydPkJuby9mnRYsWSE1NxaFDh5CcnIwvv/wSP//8s0ljX7p0CQ8ePEB2djbUarXF5K4vqGKgUCyB0EDsgKF2C3HixAm4u7uzPuHh4QCA1atX48GDB9i+fTsAoGnTptixYweWLl2Ka9euMWO89957KCkpQefOnTFjxgzMmjULU6dOZY7v3LkT7733HubNm4eAgAAMGTIEly5dgre3d63eGwB4eHjgr7/+gkqlQkREBNq2bYvIyEjY29uzVj1VsX79esTExMDb29ugXX/o0KH48MMPMXPmTHTo0AEXLlzAsmXLqhx7/vz5EAgECAoKQpMmTZCammoxuesLHiGEZg+rBvn5+bC3t0deXh6nc0qhUOD48eMYNGhQo8k629hktpS8paWlSElJgZ+fHyQSSfUFKs5m+xSEYpbjWa1WIz8/H3Z2dg1mcujduzc6dOjA6ZRuiPIag8pr/He5qjlLl8Zn/KJQGiq1uPuIQqlLGr5apVAoFEqdQlcMlJcepUqN/FIF0p4Vwc4WcJWJG22KDHPRTW1BoWihKwbKS893l1JRUKJEcZkKmfmlyCqo3dgDCqWhQxUD5aXnn/Q8Vm2GIrmy3mShUBoCVDFQXnraerLTQ9uIqYWV0jix1CbTelcMUVFRzNaqkJAQVopgLrZs2YLAwEBIpVIEBARg7969en02bdqEgIAASKVSeHt748MPP0RpaSlzfMWKFXrFTZo2bWrxe6M0Dt7r5gdbsRASPoGbnQSusvqtZ0ChVBdtVtqabjev11ejw4cPY86cOYiKikL37t2xbds2DBw4EImJiWjWrJle/61bt2LJkiWIjo5Gp06dEBcXhylTpsDR0RGDBw8GABw4cACLFy/Gzp070a1bNyQlJWH8+PEAwKTPBYA2bdowKXQBcFalo7wcSMRW8HCxh6KsADKhDHJ57fgY1Go1ysrKUFpa2mj22VN5aw9LyksIQXFxMbKysuDg4FDj+axeFcOGDRswadIkTJ48GYDmTf/kyZPYunUr1qxZo9d/3759eP/99zFy5EgAmmIZFy9exNq1axnF8Pfff6N79+4YPXo0AE24ujYsXRehUEhXCRQAmoRr7u7uSElJMSk3TnUhhKCkpMTkhHP1DZW3dqkNeR0cHCwyr9WbYigrK0N8fDwWL17Mau/fvz+TDbIycrlcL5pPKpUiLi4OCoUCIpEI4eHh2L9/P+Li4tC5c2fcv38fx48fx7hx41jn3b17Fx4eHhCLxQgLC8Nnn32G5s2bG5RXLpez3iTz8/MBaKJvtRWedNG2cR1rqDQ2mS0pr7ayl0KhsJidtjJKpRIXLlxAt27dGkViNSpv7WJJeXk8HoRCIQQCAZRK7s0T5vyd1NvTy87OhkqlYvKva3Fzc8OTJ084z4mIiMCOHTswbNgwBAcHIz4+Hjt37oRCoUB2djbc3d0xatQoPH36FOHh4SCEQKlUYtq0aSwFFBYWhr1796JVq1bIzMzEp59+im7duuHff/9l5ZjXZc2aNVi5cqVe+6lTp4ymztVWkWpMNDaZG5u8f/75Z32LYBZU3tqlruTV+h9Mod7VauUlFCHE4LJq2bJlePLkCbp06QJCCNzc3DB+/HisW7eOsanFxsZi9erViIqKQlhYGO7du4fIyEi4u7szCbEGDhzIjNmuXTt07doV/v7+2LNnD+bOnct57SVLlrCO5efnw9vbG/379zeYKykmJgb9+vVrFHmHgMYnM5W3dqHy1i51La/WymEK9aYYXFxcIBAI9FYHWVlZeqsILVKpFDt37sS2bduQmZkJd3d3bN++HTKZDC4umjw1y5Ytw9ixYxm/Rbt27VBUVISpU6fio48+4nTy2NjYoF27dqwatpURi8UQi/V3q4hEIqM/1KqON0Qam8xU3tqFylu71JW85lyj3lz3VlZWCAkJ0TMDxMTEoFu3bkbPFYlE8PLygkAgwKFDh/DGG28wE35xcbHe5C8QCEAIMWg7lsvluHXrFquyEoVCobys1Kspae7cuRg7dixCQ0PRtWtXbN++Hampqfjggw8AaMw36enpTKxCUlIS4uLiEBYWhtzcXGzYsAE3b97Enj17mDEHDx6MDRs2oGPHjowpadmyZRgyZAhjbpo/fz4GDx6MZs2aISsrC59++iny8/P1HNTG0CoZQ8szhUKB4uJi5OfnN5q3l8YmM5W3dqHy1i51La92rjJpcwWpZ7Zs2UJ8fHyIlZUVCQ4OJmfPnmWOjRs3jvTq1Yv5npiYSDp06ECkUimxs7MjQ4cOJbdv32aNp1AoyIoVK4i/vz+RSCTE29ubTJ8+neTm5jJ9Ro4cSdzd3YlIJCIeHh5k+PDh5N9//zVL7rS0NAKAfuiHfuinUX3S0tKqnN9ooZ5qolar8fjxY8hkMk5nudY5nZaWVmVRjIZCY5OZylu7UHlrl7qWlxCCgoICeHh4VBlQV++7khorfD4fXl5eVfazs7NrFL+kujQ2mam8tQuVt3apS3nt7e1N6tfw48YpFAqFUqdQxUChUCgUFlQx1BJisRjLly/njH1oqDQ2mam8tQuVt3ZpyPJS5zOFQqFQWNAVA4VCoVBYUMVAoVAoFBZUMVAoFAqFBVUMBqiPkqO6rFmzBjweD3PmzGmw8ta0RGp9PeP09HS8++67cHZ2hrW1NTp06ID4+PgGKa+vr6/eM+bxeJgxY0aDlFepVGLp0qXw8/ODVCpF8+bNsWrVKqjV6gYpb0FBAebMmQMfHx9IpVJ069YNly9frlLW2pBXoVBg1apV8Pf3h0QiwSuvvIITJ07U+LrVwqw8EC8Jhw4dIiKRiERHR5PExEQSGRlJbGxsyMOHDzn7R0VFEZlMRg4dOkSSk5PJwYMHia2tLfnll1+YPvv37ydisZgcOHCApKSkkJMnTxJ3d3cyZ84cvfHi4uKIr68vad++PYmMjGyw8i5fvpy0adOGZGRkMJ+srKwq5a1PmZ89e0Z8fHzI+PHjyaVLl0hKSgr5/fffyb179xqkvFlZWaznGxMTQwCQM2fONEh5P/30U+Ls7EyOHTtGUlJSyA8//EBsbW3Jpk2bGqS8I0aMIEFBQeTs2bPk7t27ZPny5cTOzo48evSozuVduHAh8fDwIP/v//0/kpycTKKioohEIiEJCQnVvm51oYqBg86dO5MPPviA1da6dWuyePFizv5du3Yl8+fPZ7VFRkaS7t27M99nzJhBXn31VVafuXPnkvDwcFZbQUEBadmyJYmJiSG9evUySTHUl7zLly8nr7zySpXyNSSZFy1apPfMG7K8lYmMjCT+/v5ErVY3SHlff/11MnHiRFaf4cOHk3fffbfByVtcXEwEAgE5duwYq88rr7xCPvroozqX193dnXz99desPkOHDiVjxoyp9nWrCzUlVUJbcrR///6s9pqUHAWA8PBwxMfHM7WntSVHX3/9ddZ5M2bMwOuvv46+ffs2Cnm1JVL9/PwwatQo3L9/v0HL/MsvvyA0NBRvv/02XF1d0bFjR0RHRzdYeSvLsX//fkycONFojeD6lDc8PBynT59GUlISAOD69es4f/48Bg0a1ODkVSqVUKlUnOOcP3++zuU11EcrS3WuW20sqmZeANLT0wkA8tdff7HaV69eTVq1asV5zpIlS0jTpk3JlStXiFqtJpcvXyaurq4EAHn8+DHT78svvyQikYgIhUICgEybNo01zsGDB0nbtm1JSUkJIYSYtGKoT3mPHz9OfvzxR3Ljxg1mhePm5kays7MbrMxisZiIxWKyZMkSkpCQQL755hsikUjInj17GqS8uhw+fJgIBAKSnp5usE99y6tWq8nixYsJj8cjQqGQ8Hg88tlnnzVYebt27Up69epF0tPTiVKpJPv27SM8Hs/gdWtT3nfeeYcEBQWRpKQkolKpyKlTp4hUKiVWVlbVvm51oYqhEtqHf+HCBVb7p59+SgICAjjPKS4uJhMmTCBCoZAIBALi4eFBFi5cSACQzMxMQgghZ86cIW5ubiQ6OprcuHGDHDlyhHh7e5NVq1YRQghJTU0lrq6u5Nq1a8y45iiGupaXi8LCQuLm5kbWr1/fYGUWiUSka9eurLFnzZpFunTp0iDl1aV///7kjTfeMChnQ5D34MGDxMvLixw8eJDcuHGD7N27lzg5OZHdu3c3SHnv3btHevbsSQAQgUBAOnXqRMaMGUMCAwPrXN6srCwydOhQwufziUAgIK1atSLTp08nUqm02tetLlQxVEIulxOBQECOHDnCap89ezbp2bOn0XPLyspIWloaUSqVjLNJpVIRQggJDw/XszHu27ePSKVSolKpyM8//8z8cmo/AAiPxyMCgYAolcoGJa8h+vbtq2cDbUgyN2vWjEyaNInVJyoqinh4eDRIebU8ePCA8Pl8cvToUaPXq295vby89Ozkn3zyidGJqyE838LCQubNfcSIEWTQoEF1Lq+WkpIS8ujRI6JWq8nChQtJUFBQja9rLtTHUIn6Kjn62muv4Z9//sG1a9eYT2hoKMaMGYNr164x1ecairxcmFoitT5l7t69O+7cucPqk5SUBB8fnwYpr5Zdu3bB1dXVoP+hochrqI+x7aoN4fna2NjA3d0dubm5OHnyJIYOHVrn8mqRSCTw9PSEUqnETz/9xMhSk+uajUXVzAuCdkvYt99+SxITE8mcOXOIjY0NefDgASGEkMWLF5OxY8cy/e/cuUP27dtHkpKSyKVLl8jIkSOJk5MTSUlJYfosX76cyGQycvDgQXL//n1y6tQp4u/vT0aMGGFQDlN3JdWXvPPmzSOxsbHk/v375OLFi+SNN94gMpmMuW5DlDkuLo4IhUKyevVqcvfuXXLgwAFibW1N9u/f3yDlJYQQlUpFmjVrRhYtWlTlc61veceNG0c8PT2Z7apHjhwhLi4uZOHChQ1S3hMnTpDffvuNOf7KK6+Qzp07k7KysjqX9+LFi+Snn34iycnJ5M8//ySvvvoq8fPzY1WfrOq6loIqBgPUR8nRypiqGOpL3pqWSK2vZ/zrr7+Stm3bErFYTFq3bk22b9/eoOU9efIkAUDu3Lljkpz1KW9+fj6JjIwkzZo1IxKJhDRv3px89NFHRC6XN0h5Dx8+TJo3b06srKxI06ZNyYwZM8jz58+rlLU25I2NjSWBgYFELBYTZ2dnMnbsWM6NBsauaylodlUKhUKhsKA+BgqFQqGwoIqBQqFQKCyoYqBQKBQKC6oYKBQKhcKCKgYKhUKhsKCKgUKhUCgsqGKgUCgUCguqGCgUCoXCgioGSq3D4/Fw9OjRGo0xfvx4DBs2jPneu3dvk8ueGmPFihXo0KFDjcdpDGzfvh3e3t7g8/nYtGlTfYtDacBQxUCpEVlZWXj//ffRrFkziMViNG3aFBEREfj777+ZPhkZGRg4cGCNrrN582bs3r27htLqM3/+fJw+fZr5XlkBVRdLKhzdWs+2trZ45ZVXzH4W+fn5mDlzJhYtWoT09HRMnTrVIrI1RC5cuACBQIABAwbUtyiNFmF9C0Bp3Lz11ltQKBTYs2cPmjdvjszMTJw+fRrPnj1j+jRt2rTG17G3t6/xGLoQQqBSqWBrawtbW1uLjl0b7Nq1CwMGDEBRUREOHz6MCRMmwN3dHRERESadn5qaCoVCgddff73K7LfGUCgUEIlE1T6/Lti5cydmzZqFHTt2IDU1Fc2aNatvkRofFs++RHlpyM3NJQBIbGys0X4AyM8//0wIISQlJYUAIIcPHybh4eFEIpGQ0NBQcufOHRIXF0dCQkKIjY0NiYiIIFlZWcwY48aNI0OHDmW+V04wuG/fPhISEkJsbW2Jm5sbeeedd5gCKIRoirYAICdOnCAhISFEJBKRP/74g1W3evny5QQA63PmzBnSp08fMmPGDNY9ZWdnEysrK3L69Gm9+921a5feOLt27SKEEPLw4UMyZMgQYmNjQ2QyGXn77bfJkydPTH5+WpycnMjcuXOZ78+fPydTpkwhTZo0ITKZjPTp04cp+sQljzar5y+//EKCg4OJWCwmfn5+ZMWKFUShULCuvXXrVjJkyBBibW1NPv74Y5PPi46OJsOGDSNSqZS0aNGC/O9//2Pdw82bN8mgQYOITCYjtra2JDw8nNy7d485vnPnTtK6dWsiFotJQEAA2bJli9HnRIimroJMJiO3b98mI0eOJCtXrqzyHIo+VDFQqo1CoSC2trZkzpw5pLS01GA/LsXQunVrcuLECZKYmEi6dOlCgoODSe/evcn58+dJQkICadGiBavgT1WK4dtvvyXHjx8nycnJ5O+//yZdunQhAwcOZI5rFUP79u3JqVOnyL1790h2djZLMRQUFJARI0aQAQMGkIyMDJKRkUHkcjk5cOAAcXR0ZN3j5s2bia+vL1Gr1Xr3W1xcTObNm0fatGnDjFNcXEzUajXp2LEjCQ8PJ1euXCEXL14kwcHBrCycVT0/pVJJDh8+TAAwabjVajXp3r07GTx4MLl8+TJJSkoi8+bNI87OziQnJ4cUFxeT33//nQAgcXFxJCMjgyiVSnLixAliZ2dHdu/eTZKTk8mpU6eIr68vWbFiBevarq6u5NtvvyXJycnkwYMHJp/n5eVFvvvuO3L37l0ye/ZsYmtrS3JycgghhDx69Ig4OTmR4cOHk8uXL5M7d+6QnTt3MhlHt2/fTtzd3clPP/1E7t+/T3766acqK8Fpfw9CQ0MJIZosuoZ+RhTjUMVAqRE//vgjcXR0JBKJhHTr1o0sWbKEXL9+ndWHSzHs2LGDOX7w4EECgPX2vWbNGlbVr6oUQ2Xi4uIIAFJQUEAIqVAMlSug6SoGrusQQkhpaSlxcnIihw8fZto6dOjAmggrU3lcQgg5deoUEQgEJDU1lWn7999/mQnbEACIRCIhNjY2TGU/JycncvfuXUIIIadPnyZ2dnZ6ytnf359s27aNEELI1atXWSsFQgjp0aOHXj3mffv2EXd3d9a158yZw+pj6nlLly5lvhcWFhIej0d+++03QoimBrKfn5/Bugfe3t7ku+++Y7V98sknemVZK9OtWzeyadMmQojmxcXFxYXExMQYPYeiD3U+U2rEW2+9hcePH+OXX35BREQEYmNjERwcXKVztH379sz/3dzcAADt2rVjtWVlZZksx9WrVzF06FD4+PhAJpOhd+/eADS2dV1CQ0NNHlOLWCzGu+++i507dwIArl27huvXr2P8+PFmjXPr1i14e3vD29ubaQsKCoKDgwNu3bpl9NyNGzfi2rVriImJQYcOHbBx40a0aNECABAfH4/CwkI4OzszPhNbW1ukpKQgOTnZ4Jjx8fFYtWoV65wpU6YgIyMDxcXFTL/Kz8zU83R/xjY2NpDJZMzP9Nq1a+jRowenv+Lp06dIS0vDpEmTWNf49NNPjd7PnTt3EBcXh1GjRgEAhEIhRo4cyfzcKKZDnc+UGiORSNCvXz/069cPH3/8MSZPnozly5cbnTh1JwQej8fZZqwcpC5FRUXo378/+vfvj/3796NJkyZITU1FREQEysrKWH1tbGzMuLMKJk+ejA4dOuDRo0fYuXMnXnvtNaPlQLkghDD3akq7Lk2bNkWLFi3QokUL/PDDD+jYsSNCQ0MRFBQEtVoNd3d3xMbG6p3n4OBgcEy1Wo2VK1di+PDhesckEgnz/8rPzNTzKk/6uj9TqVRqVC4AiI6ORlhYGOuYoRK3APDtt99CqVTC09OTaSOEQCQSITc3F46OjgbPpbChioFicYKCgmoct2AOt2/fRnZ2Nj7//HPmbfzKlSvVGsvKygoqlUqvvV27dggNDUV0dDS+++47fPXVV2aPExQUhNTUVKSlpTFyJiYmIi8vD4GBgSbL2KJFC7z11ltYsmQJ/ve//yE4OBhPnjyBUCiEr6+vyeMEBwfjzp07zMqjts/TpX379tizZw/nLic3Nzd4enri/v37GDNmjEnjKZVK7N27F+vXr0f//v1Zx9566y0cOHAAM2fOrLa8LxtUMVCqTU5ODt5++21MnDgR7du3h0wmw5UrV7Bu3TqjxdQtTbNmzWBlZYWvvvoKH3zwAW7evIlPPvmkWmP5+vri5MmTuHPnDpydnWFvb89MXJMnT8bMmTNhbW2NN998s8pxUlJScO3aNXh5eUEmk6Fv375o3749xowZg02bNkGpVGL69Ono1auX2SauefPm4ZVXXsGVK1fQt29fdO3aFcOGDcPatWsREBCAx48f4/jx4xg2bJjBsT/++GO88cYb8Pb2xttvvw0+n48bN27gn3/+waeffmrw2tU9T5eZM2fiq6++wqhRo7BkyRLY29vj4sWL6Ny5MwICArBixQrMnj0bdnZ2GDhwIORyOa5cuYLc3FzMnTtXb7xjx44hNzcXkyZN0tva/H//93/49ttvqWIwA+pjoFQbW1tbhIWFYePGjejZsyfatm2LZcuWYcqUKfj666/rTI4mTZpg9+7d+OGHHxAUFITPP/8c//3vf6s11pQpUxAQEIDQ0FA0adIEf/31F3PsnXfegVAoxOjRo1kmEy7eeustDBgwAH369EGTJk1w8OBBJgLc0dERPXv2RN++fdG8eXMcPnzYbDnbtWuHvn374uOPPwaPx8Px48fRs2dPTJw4Ea1atcKoUaPw4MEDxn/DRUREBI4dO4aYmBh06tQJXbp0wYYNG6o0kVX3PF2cnZ3xxx9/oLCwEL169UJISAiio6NZSnjHjh3YvXs32rVrh169emH37t3w8/PjHO/bb79F3759OeNd3nrrLVy7dg0JCQkmy/eyQ2s+UygmkpaWBl9fX1y+fBnBwcH1LQ6FUmtQxUChVIFCoUBGRgYWL16Mhw8fslYRFMqLCDUlUShV8Ndff8HHxwfx8fH45ptv6lscCqXWoSsGCoVCobCgKwYKhUKhsKCKgUKhUCgsqGKgUCgUCguqGCgUCoXCgioGCoVCobCgioFCoVAoLKhioFAoFAoLqhgoFAqFwoIqBgqFQqGw+P+2kvEmqlb0GwAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a1 = [value for value in data_runs[f'short-within-trace-interleave-reference-25-07-11-04-p0.3'] if value['info']['serial'] != 72][:30]\n",
"group_b1 = [value for value in data_runs[f'short-within-trace-interleave-reference-25-07-11-04-p0.3'] if value['info']['serial'] == 72]\n",
"group_a1 = sorted(group_a1, key=lambda trace: trace['info']['serial'])\n",
"\n",
"smooth = 1e-10\n",
"batchlabels = ([5, 15, 25, 35], ['Reference A', 'Reference B', 'Control', 'Experiment'])\n",
"corr_before = plot_vector_covar(group_a1, group_b1, plot_cdf=True, do_lines=False, smooth=smooth, triangle_delta=False, return_matrix=True, batchlabels=batchlabels, figsize=(3, 3), label_placement='x')\n",
"\n",
"group_a2 = [value for value in data_runs[f'short-within-trace-interleave-modified-25-07-11-04-p0.3'] if value['info']['serial'] != 72]\n",
"group_b2 = [value for value in data_runs[f'short-within-trace-interleave-modified-25-07-11-04-p0.3'] if value['info']['serial'] == 72]\n",
"group_a2 = sorted(group_a2, key=lambda trace: trace['info']['serial'])\n",
"\n",
"corr_after = plot_vector_covar(group_a2, group_b2, plot_cdf=True, do_lines=False, smooth=smooth, triangle_delta=False, return_matrix=True, batchlabels=batchlabels, figsize=(3, 3), label_placement='x')\n",
"\n",
"plot_vector_covar(group_b1, group_b2, plot_cdf=True, do_lines=True, smooth=smooth, triangle_delta=False, figsize=(3, 3))\n",
"\n",
"fig, ax = plt.subplots(figsize=(3, 2))\n",
"alike = lambda corr, a, b, batch_size=10: corr[a*batch_size:(a+1)*batch_size, b*batch_size:(b+1)*batch_size].mean()\n",
"for cand, label in {2: 'Control', 3: 'Experiment'}.items():\n",
" x1, y1 = alike(corr_before, cand, 0), alike(corr_before, cand, 1)\n",
" x2, y2 = alike(corr_after, cand, 0), alike(corr_after, cand, 1)\n",
" ax.plot([x1, x2], [y1, y2], 'o-', label=label)\n",
"ax.grid()\n",
"ax.set_xlabel('Similarity to Reference A')\n",
"ax.set_ylabel('Similarity to Reference B')\n",
"ax.legend()\n",
"\n",
"colors = plt.get_cmap('tab20').colors\n",
"cit = iter(colors)\n",
"fig, ax = plt.subplots(figsize=(4, 3))\n",
"alike = lambda corr, a, b, batch_size=10: corr[a*batch_size:(a+1)*batch_size, b*batch_size:(b+1)*batch_size]\n",
"for cand, (label, marker) in {2: ('Control', 'o'), 3: ('Experiment', 's')}.items():\n",
" x1, y1 = alike(corr_before, cand, 0), alike(corr_before, cand, 1)\n",
" x2, y2 = alike(corr_after, cand, 0), alike(corr_after, cand, 1)\n",
" ax.scatter(x1.flatten(), y1.flatten(), label=f'{label} before', alpha=1, marker=marker, s=5, color=next(cit))\n",
" ax.scatter(x2.flatten(), y2.flatten(), label=f'{label} after', alpha=1, marker=marker, s=5, color=next(cit))\n",
"ax.grid()\n",
"ax.set_xlabel('Similarity to Reference A')\n",
"ax.set_ylabel('Similarity to Reference B')\n",
"ax.legend()\n",
"fig.tight_layout()\n",
"fig.savefig('../paper/fig_short_interleave_scatter.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 155,
"id": "b4390203-9f0c-4a75-ac89-edb97561a15f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.983926\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.99±0.00183 min: 0.986 max: 0.993\n",
"Cross class: 0.989±0.00152 min: 0.986 max: 0.992\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999767597486\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 155,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"batchlabels_before_after = (list(range(5, 45, 10)), ['Reference A (before)', 'Reference A (after)', 'Experiment (before)', 'Experiment (after)'])\n",
"fetch = lambda run, serial: [value for value in data_runs[f'short-within-trace-interleave-{run}-25-07-11-04-p0.3'] if value['info']['serial'] == serial]\n",
"group_a3 = fetch('reference', 1) + fetch('modified', 1) + fetch('reference', 72)\n",
"group_b3 = fetch('modified', 72)\n",
"plot_vector_covar(group_a3, group_b3, do_lines=False, smooth=1e-10, triangle_delta=False, batchlabels=batchlabels_before_after, figsize=(3, 3), label_placement='x', fig_out='short_ref_exp_interleave_direct')"
]
},
{
"cell_type": "markdown",
"id": "fcd32eba-f122-42c2-b686-06243f200767",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we distinguish baseline versus a soldering iron touching one trace in one point?\n",
"\n",
"The soldering iron was touching the trace across the whole measurement series. The iron affects trace biasing, and thus in the moment the trace is touched/released there would be sharp steps in the measurements."
]
},
{
"cell_type": "code",
"execution_count": 96,
"id": "2d6dc98b-dcca-420f-8054-3604b575442e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 2025-07-08T18:27:52.545Z\n",
"10 2025-07-08T18:26:12.449Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.984799\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.986±0.000537 min: 0.985 max: 0.987\n",
"Cross class: 0.936±0.00569 min: 0.923 max: 0.944\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n",
"EER: 0.0 th: 0.9842857435867194\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.414871\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.54±0.0404 min: 0.437 max: 0.629\n",
"Cross class: -0.839±0.328 min: -1.41 max: -0.377\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000065988548\n",
"EER: 0.0 th: 0.4237879413778003\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 96,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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W1obCwkJER0erbDs6Ohr5+fka9/3999+rfWby5MkoKChAe3t7j+sotqvvvnUmk/FZAl1dhdtmP0B9Aibq2rVrYIwhRMNYHOPH8wnK3n8fWLt2LTZu3KhSfurUKUycOFH5fsyYMbCwsEBzczM6OzsRGBiIOXPmKMtHjhyJoqKiHmNy/e3kqqmpgVwuh4eHh0q5h4cHqqurNX6+urq62890dHSgpqYGXl5eGtdRbFfffetM0WVMN7WpoIRiothvD/FINPxCK6bYZQxYvfp/ERe3WKXcx8dH5X1aWhpCQkJw5coVJCQkYN++fcoEwbc3AEOHDtUpxq6xMcY0xtvTZ7ou12a7+uxbJ3QPSrcooZioYcOGQSKRoKSkBLGxsd2u09HBn/NpaHB7aDLw8/PDsGHDMGzYMDg4OGDWrFkoLi6Gu7s7AH7JExMT0+M2NmzYgA0bNsDNzQ1SqVStRnD79m21msODPD09u/2MpaUlBg0a1OM6iu3qu2+dyWTA8OHCba+foDYUE+Xq6orJkydjz549aGxsVCu/d+8eLC35TW/l5boNpD1hwgSEhYUhSTEUHe5f8vT0Wr58OQDA2toakZGRyMrKUtluVlYWxowZo3G/UVFRap85ffo0Ro4cqWzP0bSOYrv67ltnNLBS9/q8ebgL6uURzvXr15mnpycLDQ1lGRkZ7MqVK6y4uJi99957yt4Sf/8A9uyzW1lGhmq3seL7766XhzHGTp48yWxsbNjNmzf1ik3RdXvw4EFWXFzMEhISmL29PSsvL1eus27dOrZw4UKVn8fOzo6tXr2aFRcXs4MHD6p1G589e5ZJpVK2Y8cOVlJSwnbs2KGx27infffkob087e2MWVgwtn+/Ht+MaaJuYzNx69Yt9tprr7GAgABmbW3NfHx82LRp01h2djZjjHcbA1B7LVu2jDGmOaF0dnay4OBgtmLFCr1j27NnjzKuiIgIlpOTo1K+aNEiNmHCBJVlZ86cYeHh4cza2poFBgay5ORkte2mp6ez4OBgZmVlxUJCQtiJEyd03ndPHppQFPeg6LBNU6fteSthzLBD9NTV1cHZ2Rm1tbVwcnIy5K7NVlMTkJnJp/5wcRE7GuMnl8vxxRdfAACmTp0KqVSqukJ8PPDPfwIVFUDXsn5K2/OWGmXNgJ0dMH8+/397O3+AkHo79dTeDqSmAosXm00y0QU1ypqR1lY+4PXnn9Mob3r76iugpgZYsEDsSIwSJRQzYmPDR+G/dAl47z0+rQeNSaujY8eAxx8HRowQOxKjRJc8Zmb0aODJJ4HvvwdycvgNcEL2pvZrdXV8lPAtW8SOxGhRQjFDtrbApEm8xhIYKHY0JiQtjV830mTWGlFCMWOKmolcznuCHB3Fjceo1dcDmzfzOUzohjaN9GpD6fPBa4hBLV4MPP00n1yMaLBlCx8Ob9cusSMxajonlLS0NCQkJOD111/HhQsXMG7cOMTExKCioqIv4iMGsHYtcP06sHQpNdJ266efeCv2xo2Av7/Y0Rg1nRPKrl278PLLLyMuLg7Dhw/Hu+++Cz8/PyQnJ/dFfMQAwsL43D7Hj/OJ3alL+QGlpXwe2aAg/uWQHunUhqIYvGbdunUqy3savKa1tRWtra3K93V1dfw/+/fff8aeiG4mgLdiw7Fx91N4pulL/M/jN3DqxwDcuKvasDL2kSqM8P0FV28743SJaluCu2MzZkf8DADYmxumVtv5w++uYqBdK74p9cXlaheVskj/Oxgd9H+Q/eqAkxcDVcocbNqxaDSfzPnw9yFoalP9tZ0x4jq8XZqQf90TF2RuKmWhXr9i0qOVqGmwRVqh6hPXllKGZWN/AgCkFgzFL422APhQB1VVDYiWZsHi7Ee44D4Z+X9IBw7YKD8bFARMncovE48cUf8+X32VP5j56af8OcIHTZjAk/jly7zr/kFeXryZprMT6O5v9MKFfAbJ06eBq1dVy0aNAn73O+DGDeDUKdUyZ+f7t84cOMDblh/04ouAhweQl6c+v9Pjj/OeQa3ocj9/ZWUlA8DOnj2rsjwpKYk9+uij3X5m8+bN3T5LUmtlxZi1Nb2M7FVpFcA6rfj/p0lOMmu0qLx2S1cxZm3N0qQvqZVFSfKV2xmARrXyy1ZhjFlbsziLA2pliRZvMmZtzb6xjFYrG4qryu0GoEytPM9yImPW1mydxV/VylZY7GPM2ppdtAxXK3PGr8rtRkoK1MqP2/2Byf/6V/b2jja1r+rFF/nvd1VV91+lYlTOKVPUyz78kJd99JF62cSJvKyjo/vtXr/OyxcuVC9LSuJlX36pXhYaev+c9PBQLz9/npetXq1elpDQR8/y3Lp1Cz4+PsjPz0dUVJRyeVJSEo4ePYrLly+rfaa7Goqfnx89y0OM1kOf5TFDffIsjz6D19jY2MDG5n5VUZG/lJc+hBgZuVyOpqYmAPz3lBLK/fP1YfUPnRLKg4PXzJgxQ7k8KysL06dP12ob9b+1+PlRXz4hJqe+vh7Ozs4ay3W+sW3NmjVYuHAhRo4ciaioKOzfvx8VFRXK0boextvbGzKZDI6OjsKO8SkixWWcTCajy7heoO9ROEJ/l4wx1NfXw9vbu8f1dE4oc+fOxS+//IKtW7eiqqoKYWFh+OKLLxAQEKDV5y0sLODr66vrbk2Ck5MTnQgCoO9ROEJ+lz3VTBQMPsBSf0SDRgmDvkfhiPVd0vAFhBDBUEIRgI2NDTZv3qzSm0V0R9+jcMT6LumShxAiGKqhEEIEQwmFECIYSiiEEMFQQiGECIYSisCSkpIwZswY2NnZwYVm1dIJjQTYe7m5uXjhhRfg7e0NiUSCf/3rXwbdPyUUgbW1tWH27NlYsWKF2KGYFBoJUBiNjY0YMWIEPvjgA1H2T93GfeTIkSNISEjAvXv3xA7FJDz11FOIiIhQGflv+PDhiI2Nxfbt20WMzHRJJBJkZmYiNjbWYPukGgoRnWIkwOjoaJXlPY0ESIwTJRQiupqaGsjlcrUxdTw8PNTG3iHGjRKKFt544w1IJJIeXwUFBWKHafK6DmfBGOs3Q1yYC5roSwsrV67EvHnzelwnkKbg05s+IwES40QJRQtubm5wc3N7+IpEL0KMBEiMAyUUgVVUVODu3buoqKiAXC5HUVERAGDo0KFwcHAQNzgj1tuRAAnX0NCAa9euKd+XlZWhqKgIrq6u8DfEJGU9jolPdLZo0aJupw3Jzs4WOzSjt2fPHhYQEMCsra1ZREQEy8nJETskk5Odnd3t79+iRYsMsn+6D4UQIhjq5SGECIYSCiFEMJRQCCGCoYRCCBEMJRRCiGAooRBCBEMJhRAiGEoohBDBUEIhhAiGEgohRDCUUAghgqGEQggRzP8D0cNpvNkMwSQAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = [value for value in data_runs[f'attack-soldering-iron-25-07-08-01-p0.3'] if not value['info']['mods']][-10:]\n",
"group_b = [value for value in data_runs[f'attack-soldering-iron-25-07-08-01-p0.3'] if 'probe_points' in value['info']['mods']][-10:]\n",
"\n",
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='soldering_p0.3', do_lines=True)\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='soldering_p0.3_minmax', do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "02d9d0e3-52e9-4da4-9412-96239f20de9a",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we distinguish baseline versus a trace with a 30 mm wire solderted to one point?\n",
"\n",
"The wire is standing up diagonally from the board to emulate soldering."
]
},
{
"cell_type": "code",
"execution_count": 97,
"id": "84b40097-feba-491e-9240-ea5dd031556f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 2025-07-08T18:27:52.545Z\n",
"10 2025-07-08T18:42:06.356Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.984799\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.986±0.000537 min: 0.985 max: 0.987\n",
"Cross class: 0.979±0.00436 min: 0.971 max: 0.985\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.095942766287\n",
"EER: 0.006896551724137931 th: 0.9849765969646525\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.414871\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.54±0.0404 min: 0.437 max: 0.629\n",
"Cross class: 0.281±0.191 min: -0.253 max: 0.534\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.240736936325\n",
"EER: 0.11071428571428572 th: 0.4874180862770304\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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b++orMWp/a4NBddrFi4CfnxheDsDNmzdx7NgxLFmyBE5OTnqru7m5degw9fX1SE5OBgAoFArt8pMnT8LZ2bnVV2JiIgCgrq4O+fn5CA8P19l3eHg4cpqP2dnEmTNn9LaJiIhAXl4e6h8+6t3SOi3tt66uDrt378b8+fMhs9gTncbjbuNu7PHHRZvKxIlijFt/f4kPUFcnbs2dMkW76NKlSyAiBAUFtbn5qlWr8AfNY9MPHTlyBBMnTtS+Hz9+POzs7PDgwQM0NjbC398f0dHR2vQxY8bg3LlzrR6nz8P2nRs3bkCtVsOj2ayGHh4eqKioaHH7iooKg9s0NDTgxo0b8PLyanGdlvZ76NAh3L59G3Fxca3mvavhgNKNeXiIJ5DHjQPi4oBvvhFPJ0vm8mUxE5pmYBYARAQA7fqv+8Ybb+h9oXx8fHTe79u3D0FBQbh48SKWLVuGjz76SBsgAMDR0RFDjLzlv3neiKjN/BrapvlyY/abkpKCyMhIeHepYffaxpc83ZyHh+jxycoCDHRMdE5RkeijbvIFHzp0KGQyGQoLC9vcvG/fvhgyZIjOy9HRUWcdX19fDB06FNOnT8fOnTsRExODyiZPQBpzydO3b1/I5XK9WkNlZaVe7aIpT09Pg9v06NED7u7ura5jaL9XrlzBV199hQULFrRZRl0NBxSGSZNEMJkxQ8KdNjYCP/2kUzsBxOVFREQEtm3bhvsGRuO+fft2hw85YcIEDB8+HJs2bdIu01zytPZatGgRAMDe3h4hISHIzMzU2W9mZibGjx/f4nFDQ0P1tjl+/DjGjBmjbc9paR1D+01LS0P//v0xffp04wqgKzB9+7Au7uXp2ozpUGi1l+fsWdFdXFqqt93ly5fJ09OTgoOD6cCBA3Tx4kVSqVT03nvvaXtLWuo21vzdGOrlISI6fPgwOTg40M8//2zMaWtpuo1TUlJIpVLRsmXLyMnJiUqbnMfq1aspNjZW53x69uxJy5cvJ5VKRSkpKXrdxqdPnya5XE5JSUlUWFhISUlJet3GRERqtZoGDhxIq1at6lD+TYW7jZnRvvuOaPBgovLy9q3fakBZt45o82YitdrgttevX6clS5aQn58f2dvbk4+PDz377LPaey78/PwIgN5r4cKFRNRyQGlsbKTAwEB69dVXjTl1Hdu2bdPma/To0ZSVlaWTPnfuXJowYYLOshMnTtCoUaPI3t6e/P39aceOHXr73b9/PwUGBpJCoaCgoCDKyMjQW+fLL78kAFRUVNTh/JtCe7+3MqKHrUdmcvfuXfTq1Qt37tyBq6urOQ/N2nDzppiGIylJDHrdFrVajaNHjwIApk2bBrlc/ihxwgRxS25MjIlyy8ypvd9bbkNhWn36AM88A/zlL53cUXU1cOYMj3DfDXFAYTpiY8WshOfPd2Inp0+LuTs4oHQ7HFCYjmnTRE3l8OFO7OSbb0R/tGaiZ9Zt8I1tTIe9PfD998DAgZ3YyTffiEnRreiWcSYNrqEwPX5+IhZs3QpcuWLkxnfuAHl54uYW1u1wQGEG3b4NvP8+MHKkGOGt3bKzxU1tkyebKGesK+tQQOnIADTMuri5AQUFoqIxc6boRq6ra8eG33wjrpcGDzZxDllXZHRA2bdvH5YtW4a33noLBQUFePrppxEZGYmrV6+aIn/MgtzcgIwMMVzktm3A3r1ieWWlgQnY6+qADz4A0tKAX/2K20+6KaNvbHvyyScxevRo7NixQ7ts2LBhmDlzJjZv3tzm9nxjm3XKyxM3vfn4AL/9LXDkCPD73zfCvc/fMCDvDMYcOADZpUvA/Pnizjju4bEp7f3eGtXLoxmAZvXq1TrLWxuApra2FrW1tToZAyAm2m325CjrusY0+X2Bszuu9xqD3/xmCNzs/hMTGxuwftwNPHHgAE7dfQI/7NPddvhwcePsv/8NfPqpbppCIaZJBYC//lV/nNvISHH1lJ8PnD2rmxYQAEydCty7B3zyiX6eFy4EevQADh0Crl3TTZs0CQgOBlQq/Unkvb2BWbMAtdrwE9gvvwy4uADHjokZVpsaNw4ICRHDwDy8iVird2/gv/5L/J6crH8JGR0N9Osnnvxufh/QiBFAWBhQUSFqjU0plcArr4jfd+8W7eJNPfOMaGjPzQX+8Q/dtMceA379a7HN7t3657p4sahs5ubqpxlkzP38165dIwB0+vRpneWbNm2ixx57zOA2CQkJBp/JuKNQENnb88uKXz/0GEWr3N6lUX4ldP68eJbn9df1V126VPwtFBTop7m7P/pbGTFCP/3wYZG2ZYt+mmb0xLIyw1nUjDr561/rp6WkiLTUVP20KVNEWm2t4f1evSrSX3xRPy0pSaR98YV+2hNPPDrXvn3107//XqT99rf6ab/7nUg7e1Y/zdv70X6HDdNPP3ZMpG3cqJ82d65Iu3TJ8LlqHhZ94w0TPMtz/fp1+Pj4ICcnB6GhodrlmzZtwq5du3DBwJR0hmoovr6+fMljA1p9lofZFJNc8nRkABoHBwc4NJkxThO/tJc+zGqp1WpUV1cDEJ8nBxTbpfm+tlX/MCqgNB2AZtasWdrlmZmZiIqKatc+qqqqAIiRthhj1qWqqgq9evVqMd3oW+9XrFiB2NhYjBkzBqGhofj4449x9epV7ahXbfH29kZZWRlcXFyMGs1bc6lUVlbGl0rg8miOy0OX1OVBRKiqqmpzjFujA0pMTAx++eUXbNiwAeXl5Rg+fDiOHj0KPz+/dm1vZ2eHAQMGGHtYLVdXV/6DaYLLQxeXhy4py6O1molGhx4OXLx4MRYvXtyRTRljNoyf5WGMScZqAoqDgwMSEhJ0eoy6My4PXVweuixVHmYfU5YxZruspobCGOv6OKAwxiTDAYUxJhkOKIwxyVgsoBg76tu2bdswbNgwODo6IjAwEH9pNnnMxIkTIZPJ9F7WMj+s1OUBAO+++y4CAwPh6OgIX19fLF++HDU1NaY6BUlJXR719fXYsGEDAgICoFQqMWLECBw7dsyUpyCZ7OxszJgxA97e3pDJZDh06FCb22RlZSEkJARKpRKDBw/GRwbGYcjIyEBwcDAcHBwQHByMgwcPdj6zrT6LbCKa+WOTk5NJpVJRfHw8OTk50ZUrVwyuv337dnJxcaH09HQqLi6mvXv3krOzMx3WPNtORL/88ovOHLjnz58nuVxOaWlpZjqrjjNFeezevZscHBxoz549VFJSQl9++SV5eXnRsmXLzHVaHWaK8li5ciV5e3vT3/72NyouLqbt27eTUqmk7zVjBnRhR48epbfeeosyMjIIAB08eLDV9TVzLcfHx5NKpaLk5GS9uZZzcnJILpdTYmIiFRYWUmJiosG5lo1lkYAyduxYWrRokc6yoKAgWr16tcH1Q0ND6fXXX9dZFh8fT0899VSLx9i6dSu5uLjQvXv3Op9hEzNFeSxZsoQmT56ss86KFSsoLCxMolybjinKw8vLiz788EOddaKiomjOnDkS5do82hNQVq5cqZ10XmPhwoU0btw47fvo6GiaOnWqzjoRERE0WzPITAeZ/ZJHM+pbeHi4zvK2Rn1TKpU6yxwdHZGbm4t6vcFNhZSUFMyePRtOTk7SZNxETFUeYWFhyM/PR+7DobYuX76Mo0ePdvlLQFOVR0vrnDp1SsLcdw1nzpzRK7+IiAjk5eVpy6OldVoq4/Yye0C5ceMG1Gq13vgpHh4eeuOsaERERGDnzp3Iz88HESEvLw+pqamor6/HjRs39NbPzc3F+fPnsWDBApOcg5RMVR6zZ8/Gxo0bERYWBoVCgYCAAEyaNElv+M6uxlTlERERgXfeeQc//fQTGhsbkZmZic8//xzl5eUmPydzq6ioMFh+DQ0N2vJoaZ2Wyri9LNYo23zoAiJqcTiDNWvWIDIyEuPGjYNCoUBUVBTi4uIAwOCgPikpKRg+fDjGjh0reb5NReryOHHiBDZt2oTt27fj+++/x2effYYjR45g48aNJj0PqUhdHu+99x6GDh2KoKAg2Nvb47XXXsO8efNsdlAoQ+XXfLkxZdxeZg8oHRn1zdHREampqaiurkZpaSmuXr0Kf39/uLi4oG+z0dWrq6uRnp5uFbUTwHTlsWbNGsTGxmLBggV4/PHHMWvWLCQmJmLz5s1obGw0+Xl1lKnKo1+/fjh06BDu37+PK1eu4MKFC3B2dsYgG5zQ3dPT02D59ejRA+7u7q2u01IZt5fZA0rTUd+ayszMxPjx41vdVqFQYMCAAZDL5UhPT8czzzwDOzvdU/j0009RW1uLl156SfK8m4KpyqO6ulqvbORyOUg0xEt7EhIy9d+HUqmEj48PGhoakJGR0e6RBq1JaGioXvkdP34cY8aMgUKhaHWdtsq4TZ1q0u0gTbdgSkoKqVQqWrZsGTk5OVFpaSkREa1evZpiY2O16xcVFdGuXbvo4sWL9N1331FMTAz16dOHSkpK9PYdFhZGMTEx5joVSZiiPBISEsjFxYX27t1Lly9fpuPHj1NAQABFR0eb+/SMZoryOHv2LGVkZFBxcTFlZ2fT5MmTadCgQXTr1i0zn53xqqqqqKCggAoKCggAvfPOO1RQUKDtRm9eHppu4+XLl5NKpaKUlBS9buPTp0+TXC6npKQkKiwspKSkJOvtNiYi2rZtG/n5+ZG9vT2NHj2asrKytGlz586lCRMmaN+rVCoaOXIkOTo6kqurK0VFRdGFCxf09llUVEQA6Pjx4+Y4BUlJXR719fW0bt06CggIIKVSSb6+vrR48WKr+AIRSV8eJ06coGHDhpGDgwO5u7tTbGwsXbt2zVyn0ynffvutwalo5j6cA6N5eRCJ8x01ahTZ29uTv78/7dixQ2+/+/fvp8DAQFIoFBQUFEQZGRmdzisPX8AYkww/y8MYkwwHFMaYZDigMMYkwwGFMSYZDiiMMclwQGGMSYYDCmNMMhxQGGOS4YDCGJMMBxTGmGQ4oDDGJMMBhTEmmf8HkWgCWVMeL5YAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = [value for value in data_runs[f'attack-soldering-iron-25-07-08-01-p0.3'] if not value['info']['mods']][-10:]\n",
"group_b = [value for value in data_runs[f'attack-soldering-wire-25-07-08-01-p0.3'] if 'probe_points' in value['info']['mods']][-10:]\n",
"\n",
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='antenna_wire_30mm_p0.3', do_lines=True)\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='antenna_wire_30mm_p0.3_minmax', do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "3fa77522-c3cc-4621-9f16-b62c59ebd51e",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Environment sensitivity (RF/EMI): Can we distinguish traces taken in different environments?"
]
},
{
"cell_type": "code",
"execution_count": 98,
"id": "01583c7d-4db8-4460-9b39-9519a25a2e56",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pitch 0.3\n",
"10 2025-07-08T09:06:33.827Z\n",
"40 2025-07-09T11:02:20.361Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.277766\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.494±0.0699 min: 0.261 max: 0.613\n",
"Cross class: 0.456±0.0831 min: 0.159 max: 0.616\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.983801298679\n",
"EER: 0.43344155844155846 th: 0.4819268680028571\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.998123\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.999±0.000158 min: 0.998 max: 0.999\n",
"Cross class: 0.998±0.000146 min: 0.998 max: 0.999\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.921090860452\n",
"EER: 0.20936863543788187 th: 0.9984578039815136\n",
"Pitch 0.4\n",
"10 2025-07-08T09:07:51.026Z\n",
"40 2025-07-09T11:04:11.189Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at -0.224840\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.224±0.145 min: -0.362 max: 0.441\n",
"Cross class: 0.267±0.113 min: -0.268 max: 0.464\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999993051377\n",
"EER: 0.5554098360655737 th: 0.2775342125686779\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.999378\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.999±2.18e-05 min: 0.999 max: 0.999\n",
"Cross class: 0.999±4.11e-05 min: 0.999 max: 0.999\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.453639992261\n",
"EER: 0.12044817927170869 th: 0.9994190026494827\n",
"Pitch 0.6\n",
"10 2025-07-08T09:09:21.205Z\n",
"40 2025-07-09T11:05:28.560Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.566647\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.667±0.0325 min: 0.58 max: 0.725\n",
"Cross class: 0.588±0.22 min: -0.767 max: 0.737\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.537913982010\n",
"EER: 0.30085959885386815 th: 0.6502563696561604\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.999525\n",
"\n",
"Distribution parameters:\n",
"Within class: 1±1.34e-05 min: 1 max: 1\n",
"Cross class: 0.998±0.00646 min: 0.958 max: 1\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.433887270347\n",
"EER: 0.4936708860759494 th: 0.999358371402196\n",
"Pitch 1.0\n",
"10 2025-07-08T09:10:32.399Z\n",
"40 2025-07-09T11:06:46.749Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.792268\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.854±0.02 min: 0.809 max: 0.884\n",
"Cross class: 0.829±0.0275 min: 0.728 max: 0.884\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.906439881433\n",
"EER: 0.3001834862385321 th: 0.8454077477751026\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.999382\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.999±2.52e-05 min: 0.999 max: 1\n",
"Cross class: 0.999±5.62e-05 min: 0.999 max: 0.999\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.236271716980\n",
"EER: 0.05526315789473685 th: 0.9994114903583199\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for pitch in ['0.3', '0.4', '0.6', '1.0']:\n",
" print(f'Pitch {pitch}')\n",
" # use office environment as baseline\n",
" environments = [\n",
" '25-07-08-01-serverroom-p14s',\n",
" '25-07-08-01-electronicslab-p14s',\n",
" '25-07-08-01-homeoffice-desktop',\n",
" '25-07-09-01-forest-x1c',\n",
" ]\n",
" batchlabels = ([5, 15, 25, 35, 45], ['Office', 'Server Room', 'Electronics Lab', 'Home Office', 'Forest'])\n",
" group_a = [value for value in data_runs[f'environment-25-07-08-01-office-p14s-p{pitch}'] if not value['info']['mods']]\n",
" group_b = [value for env in environments for value in data_runs[f'environment-{env}-p{pitch}'] if not value['info']['mods']]\n",
" if not group_a or not group_b:\n",
" print('(skip)')\n",
" continue\n",
" \n",
" print(len(group_a), group_a[-1]['info']['timestamp'])\n",
" print(len(group_b), group_b[-1]['info']['timestamp'])\n",
" plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'environment_p{pitch}_minmax', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))\n",
" plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out=f'environment_p{pitch}', do_lines=True, batchlabels=batchlabels, figsize=(4, 4), triangle_delta='load')"
]
},
{
"cell_type": "markdown",
"id": "874b5e6e-4527-4285-8ca5-2ee4d9c4e86b",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"### Compare environmental effects against an attack\n",
"\n",
"Repeat the above measurement, but compare to the \"scope probe\" attack run for scale."
]
},
{
"cell_type": "code",
"execution_count": 99,
"id": "fd55b81e-3bd2-4659-bbde-633772f1d8f8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pitch 0.3\n",
"50 2025-07-09T11:02:20.361Z\n",
"10 2025-07-02T14:10:30.806Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.187119\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.464±0.0896 min: -0.0726 max: 0.636\n",
"Cross class: -0.604±0.225 min: -1.22 max: -0.205\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000217549887\n",
"EER: 0.0 th: -0.09584650645280735\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978854\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.00173 min: 0.979 max: 0.989\n",
"Cross class: 0.944±0.00648 min: 0.928 max: 0.957\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000045601\n",
"EER: 0.0 th: 0.9781386054550003\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 400x400 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Same data as above, but add scope probe run for scale\n",
"pitch = '0.3'\n",
"print(f'Pitch {pitch}')\n",
"\n",
"environments = [\n",
" '25-07-08-01-office-p14s',\n",
" '25-07-08-01-serverroom-p14s',\n",
" '25-07-08-01-electronicslab-p14s',\n",
" '25-07-08-01-homeoffice-desktop',\n",
" '25-07-09-01-forest-x1c',\n",
"]\n",
"batchlabels = ([5, 15, 25, 35, 45, 55], ['Office', 'Server Room', 'Electronics Lab', 'Home Office', 'Forest', 'Probed Mesh'])\n",
"group_a = [value for env in environments for value in data_runs[f'environment-{env}-p{pitch}'] if not value['info']['mods']]\n",
"group_b = [value for entries in data.values() for value in entries if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3' and 'probe_points' in value['info']['mods']][:10]\n",
"\n",
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}_minmax', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))"
]
},
{
"cell_type": "markdown",
"id": "64b99df8-7583-41cd-95c3-ad0359f8cf21",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"### Compare environmental effects against the hot mesh scenario\n",
"\n",
"Repeat the above measurement, but compare to the \"hot mesh\" run for scale."
]
},
{
"cell_type": "code",
"execution_count": 100,
"id": "48278910-10ff-4515-b930-aa8995fde73e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pitch 0.3\n",
"50 2025-07-09T11:02:20.361Z\n",
"10 2025-07-02T15:01:50.886Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.187119\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.464±0.0896 min: -0.0726 max: 0.636\n",
"Cross class: -0.214±0.125 min: -0.643 max: 0.089\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000645153336\n",
"EER: 0.0016326530612244899 th: 0.08096889595885896\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978854\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.00173 min: 0.979 max: 0.989\n",
"Cross class: 0.971±0.00395 min: 0.956 max: 0.977\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.022981796940\n",
"EER: 0.0 th: 0.978652829116029\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 400x400 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 100,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Same as above, but compare to heated mesh\n",
"pitch = '0.3'\n",
"print(f'Pitch {pitch}')\n",
"\n",
"environments = [\n",
" '25-07-08-01-office-p14s',\n",
" '25-07-08-01-serverroom-p14s',\n",
" '25-07-08-01-electronicslab-p14s',\n",
" '25-07-08-01-homeoffice-desktop',\n",
" '25-07-09-01-forest-x1c',\n",
"]\n",
"batchlabels = ([5, 15, 25, 35, 45, 55], ['Office', 'Server Room', 'Electronics Lab', 'Home Office', 'Forest', 'Heated Mesh'])\n",
"group_a = [value for env in environments for value in data_runs[f'environment-{env}-p{pitch}'] if not value['info']['mods']]\n",
"group_b = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'hot-mesh-hot-serial-5-25-07-02-01-p0.3'][:10]\n",
"\n",
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}_minmax', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))"
]
},
{
"cell_type": "markdown",
"id": "a2925799-ee00-48b1-aa11-03b2bd6b756e",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"### Compare environmental effects against the patching attack\n",
"\n",
"Repeat the above measurement, but compare to the \"loop patch\" attack run for scale."
]
},
{
"cell_type": "code",
"execution_count": 101,
"id": "0452ef1e-01d3-40d9-813a-a81800655ddc",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pitch 0.3\n",
"50 2025-07-09T11:02:20.361Z\n",
"10 2025-07-08T17:31:25.244Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.187119\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.464±0.0896 min: -0.0726 max: 0.636\n",
"Cross class: -0.0202±0.79 min: -2.47 max: 0.551\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.396483909561\n",
"EER: 0.21596401028277637 th: 0.4076621357746832\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978854\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.00173 min: 0.979 max: 0.989\n",
"Cross class: 0.951±0.0824 min: 0.698 max: 0.986\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.368705970764\n",
"EER: 0.12996884735202494 th: 0.9821635381409752\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 400x400 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 101,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Same as above, but compare to patched mesh\n",
"pitch = '0.3'\n",
"print(f'Pitch {pitch}')\n",
"\n",
"environments = [\n",
" '25-07-08-01-office-p14s',\n",
" '25-07-08-01-serverroom-p14s',\n",
" '25-07-08-01-electronicslab-p14s',\n",
" '25-07-08-01-homeoffice-desktop',\n",
" '25-07-09-01-forest-x1c',\n",
"]\n",
"batchlabels = ([5, 15, 25, 35, 45, 55], ['Office', 'Server Room', 'Electronics Lab', 'Home Office', 'Forest', 'Patched Mesh'])\n",
"group_a = [value for env in environments for value in data_runs[f'environment-{env}-p{pitch}'] if not value['info']['mods']]\n",
"group_b = [value for value in data_runs[f'simple-attack-25-07-08-01-p0.3'] if 'loop_patch' in value['info']['mods']]\n",
"\n",
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}_minmax', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))"
]
},
{
"cell_type": "markdown",
"id": "9e81eb7d-3d8c-4ad3-9126-69b5e0d5483c",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Repeat baseline vs. looped patch experiment using TDP0604\n",
"\n",
"Let's see if that board is any better than the PI3HDX12211 that we use in the other runs (spoiler: no, it's not)."
]
},
{
"cell_type": "code",
"execution_count": 102,
"id": "e1d9ee9e-1b0b-45da-a7a0-0d192d0e0eee",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 2025-07-09T15:11:08.766Z\n",
"10 2025-07-09T15:11:29.146Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.995213\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.997±0.000417 min: 0.996 max: 0.998\n",
"Cross class: 0.972±0.0684 min: 0.765 max: 0.997\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.368134993436\n",
"EER: 0.37183098591549296 th: 0.9959356111983982\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.676287\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.808±0.0426 min: 0.67 max: 0.862\n",
"Cross class: 0.493±0.734 min: -1.72 max: 0.859\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.401475759067\n",
"EER: 0.31320754716981136 th: 0.7944348801630056\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 102,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Can we distinguish baseline versus patched traces? Patches are done using small wire loops 3~5 mm in length.\n",
"# Here: using TDP0604\n",
"group_a = [value for value in data_runs[f'patch-attack-25-07-09-02-p0.3'] if not value['info']['mods']][:10]\n",
"group_b = [value for value in data_runs[f'patch-attack-25-07-09-02-p0.3'] if 'loop_patch' in value['info']['mods']]\n",
"\n",
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_tdp0604_p0.3', do_lines=True)\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_tdp0604_p0.3_minmax', do_lines=True)"
]
},
{
"cell_type": "markdown",
"id": "1702f98f-74e2-4e13-b2f3-9276e9112606",
"metadata": {},
"source": [
"## Repeat looped patch experiment with multiple runs per sample\n",
"\n",
"10 runs per loop sample, and 20 baseline runs, 10 before and 10 after the patch samples"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "e93fec13-806b-4181-9bd4-8912a2d9800d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'SP-PITCH-V2-0063', 'SP-PITCH-V2-0065', 'SP-PITCH-V2-0062', 'SP-PITCH-V2-0057', 'SP-PITCH-V2-0058', 'SP-PITCH-V2-0061', 'SP-PITCH-V2-0060'}\n",
"20 2025-07-09T17:39:02.553Z\n",
"70 2025-07-09T17:37:40.678Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.991727\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.997±0.00157 min: 0.993 max: 0.999\n",
"Cross class: 0.994±0.00348 min: 0.982 max: 0.998\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.715256625096\n",
"EER: 0.33910524621821697 th: 0.9956765300747624\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.470057\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.633±0.0528 min: 0.449 max: 0.77\n",
"Cross class: 0.473±0.101 min: 0.0629 max: 0.711\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.510969730299\n",
"EER: 0.14564546016059293 th: 0.578163021102501\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 350x350 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 350x350 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 350x350 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if not value['info']['mods']]\n",
"# Exclude mesh 56 as its response is easily distinguished by min/max, making it light up very bright in the plot and swamping out the colorscheme for everything else.\n",
"# We also specifically did not measure that one sample that got a hidden short during modification, since that's also too easy.\n",
"group_b = [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if 'loop_patch' in value['info']['mods'] and value['info']['serial'] != 56]\n",
"\n",
"print(set(x['info']['specimen'] for x in group_b))\n",
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
"\n",
"batchlabels = (list(range(5, 90, 10)), ['Baseline (before)', 'Baseline (after)', '', '', '', 'Patching attacks', '', '', ''])\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_p0.3', do_lines=True, figsize=(3.5,3.5), smooth=1e-7, batchlabels=batchlabels, label_placement='x')\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_repeat_p0.3_minmax', do_lines=True, figsize=(3.5,3.5), smooth=1e-9, batchlabels=batchlabels, label_placement='x')"
]
},
{
"cell_type": "code",
"execution_count": 104,
"id": "a0b40116-b716-44b1-b8e8-33e69d590035",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'SP-PITCH-V2-0058', 'SP-PITCH-V2-0063', 'SP-PITCH-V2-0062', 'SP-PITCH-V2-0061', 'SP-PITCH-V2-0065', 'SP-PITCH-V2-0057', 'SP-PITCH-V2-0060'}\n",
"20 2025-07-09T17:39:02.553Z\n",
"70 2025-07-09T17:37:40.678Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.998986\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.999±0.000102 min: 0.999 max: 1\n",
"Cross class: 0.999±0.000334 min: 0.998 max: 0.999\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.392163077311\n",
"EER: 0.15651478816946443 th: 0.9992030775816553\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 500x500 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 104,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a = [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if not value['info']['mods']]\n",
"# Exclude mesh 56 as its response is easily distinguished by min/max, making it light up very bright in the plot and swamping out the colorscheme for everything else.\n",
"# We also specifically did not measure that one sample that got a hidden short during modification, since that's also too easy.\n",
"group_b = [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if 'loop_patch' in value['info']['mods'] and value['info']['serial'] != 56]\n",
"\n",
"print(set(x['info']['specimen'] for x in group_b))\n",
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
"\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_tridelta_p0.3', do_lines=True, figsize=(5, 5), smooth=1e-9, triangle_delta='load')\n",
"#plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_p0.3', do_lines=True, figsize=(5, 5), smooth=1e-9, triangle_delta='channel')\n",
"\n",
"#plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_repeat_p0.3_minmax', do_lines=True, figsize=(5, 5), smooth=1e-9, triangle_delta=False)\n"
]
},
{
"cell_type": "markdown",
"id": "246995e1-8db7-465d-a323-0906eee91009",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Incorporate environmental runs into baseline\n",
"\n",
"This allows us to estimate measurement variance versus signal variance"
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "dba0e4b8-4207-4f6d-8260-4e5e134cbab6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'SP-PITCH-V2-0063', 'SP-PITCH-V2-0065', 'SP-PITCH-V2-0062', 'SP-PITCH-V2-0057', 'SP-PITCH-V2-0058', 'SP-PITCH-V2-0061', 'SP-PITCH-V2-0060'}\n",
"70 2025-07-09T17:39:02.553Z\n",
"21 2025-07-09T17:37:33.769Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978057\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.00193 min: 0.978 max: 0.989\n",
"Cross class: 0.98±0.00347 min: 0.966 max: 0.986\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.690844956542\n",
"EER: 0.19512685790021775 th: 0.9823359725826497\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.525644\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.745±0.0709 min: 0.443 max: 0.885\n",
"Cross class: 0.567±0.118 min: 0.155 max: 0.805\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.635338095839\n",
"EER: 0.16773742265267688 th: 0.6806741308858419\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 350x350 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 350x350 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 350x350 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pitch = '0.3'\n",
"environments = [\n",
" '25-07-08-01-serverroom-p14s',\n",
" '25-07-08-01-electronicslab-p14s',\n",
" '25-07-08-01-homeoffice-desktop',\n",
" '25-07-09-01-forest-x1c',\n",
" ]\n",
"batchlabels = (list(range(5, 70, 10)) + [80], ['Office', 'Server Room', 'Electronics Lab', 'Home Office', 'Forest', 'Before Experiment', 'After Experiment', 'Patching attacks'])\n",
"group_a = [value for value in data_runs[f'environment-25-07-08-01-office-p14s-p{pitch}'] if not value['info']['mods']]\n",
"group_b = [value for env in environments for value in data_runs[f'environment-{env}-p{pitch}'] if not value['info']['mods']]\n",
"group_a += group_b\n",
"group_a += [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if not value['info']['mods']]\n",
"# Exclude mesh 56 as its response is easily distinguished by min/max, making it light up very bright in the plot and swamping out the colorscheme for everything else.\n",
"# We also specifically did not measure that one sample that got a hidden short during modification, since that's also too easy.\n",
"group_b = [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if 'loop_patch' in value['info']['mods'] and value['info']['serial'] != 56]\n",
"group_b = [group_b[i+j] for i in range(1, 71, 10) for j in [1,3,7]]\n",
"\n",
"print(set(x['info']['specimen'] for x in group_b))\n",
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
"\n",
"#plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_tridelta_all_the_data_p0.3', do_lines=True, figsize=(5, 5), smooth=1e-9, triangle_delta='load', batchlabels=batchlabels)\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_tridelta_all_the_data_p0.3', do_lines=True, figsize=(3.5,3.5), smooth=None, batchlabels=batchlabels, label_placement='x')\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_repeat_tridalta_all_the_data_p0.3_minmax', do_lines=True, figsize=(3.5,3.5), smooth=1e-7, batchlabels=batchlabels, label_placement='x')"
]
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