From 3524f994d7612eb0ec8b6d5f49c8ec82ca978071 Mon Sep 17 00:00:00 2001 From: jaseg Date: Thu, 10 Jul 2025 17:15:38 +0200 Subject: [PATCH] Paper WIP --- jupyter_notebooks/classifier_tests.ipynb | 316 +++++++++++++++--- paper/fig_cdf_open_p0.3.pdf | Bin 8539 -> 9093 bytes paper/fig_cdf_open_p0.4.pdf | Bin 8731 -> 9117 bytes paper/fig_cdf_patch_p0.3.pdf | Bin 9113 -> 9113 bytes paper/fig_cdf_patch_p0.3_minmax.pdf | Bin 8736 -> 8736 bytes paper/fig_cdf_probe_points_p0.3.pdf | Bin 10529 -> 9726 bytes paper/fig_cdf_probe_points_p0.4.pdf | Bin 9475 -> 10142 bytes paper/fig_cdf_short_across_traces_p0.3.pdf | Bin 8659 -> 9464 bytes paper/fig_cdf_short_across_traces_p0.4.pdf | Bin 8780 -> 9503 bytes paper/fig_cdf_short_within_0.3_min_max.pdf | Bin 9535 -> 9236 bytes paper/fig_cdf_touch_combined.pdf | Bin 9349 -> 9349 bytes paper/fig_covar_open_p0.3.pdf | Bin 7605 -> 8680 bytes paper/fig_covar_open_p0.4.pdf | Bin 7674 -> 8414 bytes paper/fig_covar_patch_p0.3.pdf | Bin 7837 -> 7837 bytes paper/fig_covar_patch_p0.3_minmax.pdf | Bin 7024 -> 7024 bytes paper/fig_covar_probe_points_p0.3.pdf | Bin 7469 -> 7624 bytes paper/fig_covar_probe_points_p0.4.pdf | Bin 7863 -> 7849 bytes paper/fig_covar_short_across_traces_p0.3.pdf | Bin 7769 -> 8014 bytes paper/fig_covar_short_across_traces_p0.4.pdf | Bin 7715 -> 7673 bytes paper/fig_covar_short_within_0.3_min_max.pdf | Bin 7115 -> 7261 bytes paper/fig_covar_touch_combined.pdf | Bin 13338 -> 13336 bytes paper/fig_results_open_p0.3.txt | 12 +- paper/fig_results_open_p0.4.txt | 12 +- paper/fig_results_patch_p0.3.txt | 2 +- paper/fig_results_patch_p0.3_minmax.txt | 2 +- paper/fig_results_probe_points_p0.3.txt | 12 +- paper/fig_results_probe_points_p0.4.txt | 12 +- .../fig_results_short_across_traces_p0.3.txt | 10 +- .../fig_results_short_across_traces_p0.4.txt | 12 +- .../fig_results_short_within_0.3_min_max.txt | 12 +- paper/fig_results_touch_combined.txt | 2 +- paper/paper.tex | 97 +++++- 32 files changed, 408 insertions(+), 93 deletions(-) diff --git a/jupyter_notebooks/classifier_tests.ipynb b/jupyter_notebooks/classifier_tests.ipynb index 3eb4c23..83e34aa 100644 --- a/jupyter_notebooks/classifier_tests.ipynb +++ b/jupyter_notebooks/classifier_tests.ipynb @@ -1195,6 +1195,33 @@ "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", + "- [ ] 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", @@ -1400,9 +1427,7 @@ { "cell_type": "markdown", "id": "0b4655d0-2164-4a01-88a0-41e76d2d934e", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, + "metadata": {}, "source": [ "## Preliminary attack measurements" ] @@ -2013,7 +2038,7 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 125, "id": "a9fce3aa-2108-48e5-afae-c3f1e75c7db3", "metadata": {}, "outputs": [ @@ -2051,7 +2076,7 @@ " )" ] }, - "execution_count": 106, + "execution_count": 125, "metadata": {}, "output_type": "execute_result" }, @@ -2100,7 +2125,7 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 123, "id": "3e0f0a08-205f-4621-a366-9f80b88ed5ce", "metadata": {}, "outputs": [ @@ -2110,24 +2135,24 @@ "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", "setting threshold for quantile 0.001\n", - "Baseline threshold set at 0.995575\n", + "Baseline threshold set at 0.991740\n", "\n", "Distribution parameters:\n", - "Within class: 0.998±0.000902 min: 0.995 max: 0.999\n", - "Cross class: 0.931±0.0892 min: 0.789 max: 0.999\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): 0.233499797763\n", + "Type 2 error (missed alarm rate): 0.231220998491\n", "setting threshold for quantile 0.001\n", - "Baseline threshold set at 0.716948\n", + "Baseline threshold set at 0.447921\n", "\n", "Distribution parameters:\n", - "Within class: 0.874±0.0508 min: 0.744 max: 0.958\n", - "Cross class: 0.371±0.516 min: -0.784 max: 0.917\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): 0.251343787841\n", - "EER: 0.22647058823529412 th: 0.8286649223477585\n" + "Type 2 error (missed alarm rate): 0.232487050396\n", + "EER: 0.23157894736842105 th: 0.6595285800360724\n" ] }, { @@ -2139,13 +2164,13 @@ " )" ] }, - "execution_count": 107, + "execution_count": 123, "metadata": {}, "output_type": "execute_result" }, { "data": { 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", 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", 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", 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", 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", 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", "text/plain": [ "
" ] @@ -2180,8 +2205,8 @@ "group_modified = [value for value in entries if value['info']['mods']]\n", "print([value['info']['mods'] for value in group_modified])\n", "\n", - "smooth = 1e-7\n", - "plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', smooth=smooth)\n", + "smooth = None\n", + "plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', fig_out='short_within_0.3', 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)" @@ -2189,7 +2214,7 @@ }, { "cell_type": "code", - "execution_count": 108, + "execution_count": 124, "id": "72805716-cee3-4a1b-94c8-d810756b8c18", "metadata": {}, "outputs": [ @@ -2225,7 +2250,7 @@ "(
, , None, None)" ] }, - "execution_count": 108, + "execution_count": 124, "metadata": {}, "output_type": "execute_result" }, @@ -2457,9 +2482,7 @@ { "cell_type": "markdown", "id": "4cbea4c5-e53b-446a-a14a-0dd9da9acca0", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, + "metadata": {}, "source": [ "### Pitch 0.4 mm" ] @@ -2679,14 +2702,16 @@ { "cell_type": "markdown", "id": "94017b41-28af-4697-93ea-0fc4a9aa032d", - "metadata": {}, + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, "source": [ "## Compare the two above cases." ] }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 119, "id": "49058b85-96bc-469a-b3d5-fe98f28b132f", "metadata": {}, "outputs": [ @@ -2715,13 +2740,13 @@ " )" ] }, - "execution_count": 91, + "execution_count": 119, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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XLsy1jYJcg6cfY2jRogV69uwJxhhCQkLEhvL3339H9erVs7uq2WLKlCkQBAEDBgyATqdDv379xM/H1dUVJUqUwLJly/Ddd9/l2IaBBp8JMYEgCNi9ezc6dOgAa2trVKtWDWFhYfDx8cnRk8rIWbduHc6cOSOZWS2j9u3bY/Pmzdi1axf69OmD58+fY8qUKfD39xfDU3My/XX/9ddfiI6Oxps3b8AYw+TJkxEUFITBgwdjzZo1eP36NQDg6dOn+PHHH/Hw4UMULlzYnFX/b8wyskFIDvX06VNWo0YNtmDBAsYYY3Fxcax48eJs0KBBku14g5Q5RUxMDGvWrBmrXLkyu3jxImOMf01arZYdPHiQOTg4sHLlyrHChQuz8PDw7KzuR6G/3l27drEaNWqwokWLsrp167KBAweylJQUxhhj33//PRMEgTVu3Jh9/vnnzMHBgd28edOc1c4SNPhMiAkePXqENm3a4Nq1a3jx4gXq1KmDdu3aYeXKlQCAgwcPonXr1mauZdY4ceIEli5diujoaCxduhQ+Pj4Gx1ESEhJw6dIleHt7w83NLZtr+3EcO3YMbdu2xQ8//ICKFSviypUr+PXXX1GgQAHs27cP1tbW2LFjB06ePAmtVouhQ4eiUqVK5q72f2fmhomQHOXp06fM29ubrVu3jnl4eLCBAwcylUrFGGMsOjqaffHFF+zkyZNmruV/o9FoxP8/cOAA69atG6tRowa7du0aY0z+ySGnPyFlpNPpmFqtZt999x3r16+fWK7RaNi+fftYzZo12fDhw5lWq5Xsk1vQGAMhHEzmYdrS0hIeHh4YMmQIatasiZUrV8LS0hIAsHLlSsTHx6NcuXLZXdUspU/4dvDgQWzcuBExMTGIjIxE3759cenSJdkxh5w88J7+bW49QRBgYWGBp0+fSibXUSqVaNOmDZo1a4aIiAhoNBrJPrkFNQyEyGD/dJkcPXoUo0ePxoABA3Dz5k04Oztj0qRJcHd3x9u3b7Fs2TLs3bsXQ4YMwcqVK7FmzZpckQPo9OnTaNeuHRo2bIglS5Zg5cqVcHR0xODBg3H58mWDA9I5jUKhQHx8PGJjYwEAO3fuxOzZswEA9erVw9u3bxEeHg6tVgsg7fOpWbMmnjx5gpcvX5qr2h+XeR9YCPl07d+/n9na2rI2bdqwqlWrsnz58rGtW7cyxhi7fPky69atG3N3d2dVq1ZlLVq0YNevXzdzjf87fXfIlClTmK+vr2TdkSNHWMOGDVmNGjVYRESEZPucSqfTsbdv37LixYuzr7/+mi1fvpwJgsA2btzIGGMsNjaWlSlThnXo0IFdunRJ3G/YsGGscePGLDk52VxV/6ioYSAkHf0XXVJSEps0aRJbvXq1uG7EiBHMyspKnKJSpVKxxMRElpiYyN68eWOW+n4sP/74Iytbtiz7+++/JeWLFy9mgiAwT09PyRdlTvfgwQNmZ2fHlEqlGHGmHz+4e/cuK1euHKtduzarVasW69SpE3NwcBAbx9yIupJInvfzzz/j6dOnANK6CSIiIlCiRAns379f0i20cOFCBAQEoG/fvmL6ZCcnJzg5OcHOzs4sdf9YKlSoAEEQcOTIEbx7904sr1KlCho2bIhWrVrl7Dj9dFQqFRwdHaHRaKBQKBAZGYlHjx5BoVBAp9OhbNmyOH78OAYOHAhvb29Uq1YNly5dyrUv8AGgriSSd2m1WhYVFcUcHR0lk7FrtVr2zTffMEEQ2Lp16xhj0i6T0aNHM0EQ2I4dO7K9zllNf10RERHs2LFj7NixY+K6rl27Mg8PD7Z582aWkJDAGGMsMDCQ9enThyUmJpqjuh9VQkICu3nzJrOxsWHdu3dnDx8+lN0ufSRSbkUNA8mz1Go1Y4yxly9fMsYY++OPP1hcXJy4rnv37szZ2ZmdOnUq074TJ05kUVFR2VfZj2jHjh3M3t6elS5dmtna2kpe1uvevTvz8vJixYsXZ/Xr12e2trbs999/N2Nts57+i17/+3Dp0iVmY2PDevToIWaE/fHHH9ncuXMZYzl/XMUY9IIbyZPWrVsHCwsLdOvWDdbW1vjrr79QtGhR9OjRA3PmzIGrqyt0Oh26du2K48ePY/fu3WjcuLG5q51l2D9RV8nJyWjevDkCAgJQt25d/PHHH/D390f79u2xZcsWAGkved2+fRsqlQrt2rVD2bJlzVz7j0c/Fefly5fRvHlzeHt7w8nJCUeOHMGZM2dyTYbY9zJzw0RIttPpdKxhw4ascuXKbPv27WJ6g3379jEbGxvWv39/8clBq9WyLl26MBcXF/bbb7+Zs9pZ7tChQ2zQoEGsX79+7MWLF2L5kSNHmIODA+vRo4cZa5f15O705bqF9C/4RUREsD59+rA+ffrkuqek96GGgeQp+i8HtVrNvvjiC1a9enUWFhYmRhUdOnSIKZXKTI2Dr68vK1WqFHv79q3Z6p7V1q5dyxQKBXNzc2OvXr1ijP37+Rw5coQVLFiQderUKdf0qeuvLTo6mt26dStTxFV6+mtWqVRiF1NeQg0DyXP0d4RqtZq1bdvWYOPw5MkTxljaF8Xjx4/NVuespB9TUalUbPPmzcza2pqNGzcu03b79+9nJUqUEBvInGj+/Pns4MGD4s87d+5kRYoUYaVKlWJFihRh+/btyzUNX1aihoHkaWq1mrVu3Vq2cdBHp8THx5u5llnnypUrrFixYuzMmTOMsbRGct26dczCwoJNnDgx0/Y5/f2ML774guXLl48dP36cPXz4kJUsWZItXbqUnThxggUEBDArKysWGhqaJ58KDKGGgeQZ+q6E+Ph49vz5c3b//n3G2L9PDtWqVZM0Dnv27GEFCxYUnxpyi/r167OSJUuy8+fPM8bSnob0jcPkyZPNXLuspdVqWe/evVmBAgXYxo0b2ciRIyXrx48fz6ysrNiGDRuocUiHGgaSJ+gbhV9//ZXVr1+fVapUiVWoUIHNmDGDMSbtVtq2bZuY6iCnpzxIP+Ca/v+bN2/O3NzcJI1DSEgIEwSBTZ8+Pdvr+THpdDrxvRQfH59MT0Hjxo1j+fLlY6tWraLG4R/UMJA84+DBg8zGxoYtXbqU/f7772zmzJlMEAR2+PBhxti/A9IeHh5s586djLHcEbN+7tw59ueffzLG/r0enU7Hmjdvztzd3SWNw6ZNm9itW7fMVteskj61iV5AQACzsbGRjDnoDRkyhBUpUkQcf8nrqGEgecbAgQPZpEmTGGOMPXr0iJUuXZoNHDiQMSaNQvn666/ZgwcPzFbPrJSamsoqV67MypQpI76spf/SfPfuHatatSqrXbu27Et8OZX++g4dOsRGjBghNnwajYb17NmTOTk5Sd7w1nv69Gm21vNTRrmSSJ6QmpqKS5cuoUyZMkhKSoKPjw+aNWuGFStWAABWr16NkydPwtLSEtu2bUOpUqXMXOOsYWVlhSNHjsDe3h6dOnVCdHS0OG+Afs7q8PBwDBkyBCkpKWaubdYQBAG7du1C586dUahQITg5OQFIm0th48aNaNWqFb788kucOHFCsl+RIkXMUNtPEzUMJFdi/7zQn5KSAsYYrK2t0aJFCxw/fhwVK1ZE+/btsWLFCgiCgHfv3uHixYu4ePEiNBpNjp5nIP1167/oXV1dcejQIWg0Gnz55ZeIjo6GTqeDIAhwdXXFxYsXcfDgQdjY2Jiz6lkmMjIS3333HZYtW4agoCB4eXkBSJuWFQC2bt0qTrZz+vRpc1b1k0UNA8l12D/pHg4dOoSJEyfi5s2bAIBKlSph//79cHNzw8SJE6FQKKDRaDBjxgycOnUKX331FSwsLHLsTFz6696/fz969uyJOnXqYNiwYfj5559RpEgR/Pbbb9BoNGjRogXGjRuHvn37Ys2aNXBxcck1czQDQFxcHAoXLoxu3bpBrVZjw4YNaNasGXx9fdG9e3cAwJYtW9C/f38ULVrUzLX9NFmYuwKEZDV9V0KfPn0wZMgQWFlZAQB69+6N+Ph4rF69Gr1790axYsXw7t07nDp1CkePHkXp0qXNXPP/RhAE7N27F126dMGoUaNQokQJREdHY8yYMUhISMCwYcPw+++/o0ePHuK0lCdOnECJEiXMXfUsZWlpiZSUFIwYMQLh4eEoVqwYypYti2+//RYjR47EL7/8go4dO2LVqlXmruoni5LokVwnMjISvr6+mDVrFvr06SOWJyYmwtnZGUePHsWxY8dw8+ZNeHt7o3v37ihfvrwZa5w1kpOT0aVLF9SrVw/Tpk0DAMTExCA0NBQhISGYN28evvzySwCAWq2GRqOBra2tGWv83+mfkl69eoV3797BxcUFALBkyRKcPn0aHh4e6N27N6pWrYrExES0atUKs2fPRpMmTcxb8U8cPTGQXOfp06coW7YsvvrqKyQnJ2PHjh3YsmULnjx5gkaNGmHOnDlo0aKFuauZJfRfjC9fvoSDgwMePnyI+vXri+tLlCiBXr164eLFi7h27ZrYMFhaWsLS0tJc1c4S+mv/9ddfsWjRIty7dw81a9ZEw4YNMW7cOHz33XeSbsHFixfjxYsXOf7JMDvQGAPJFdI/+KrValy8eBGzZs1Cw4YNsWvXLnh5eeHbb7/FkSNHEB4ebsaaZi1BELB7924MHjwY0dHRqF27NmJiYvD8+XNxG09PTxQrVgznzp0TJ7TPDfTjSN27d0f79u2xb98+eHh4ICgoCPv37xcbhZ07d2LIkCFYunQptm/fDnd3dzPX/NNHTwwkR9PfNabXrl07TJ8+HRcvXkSzZs3Qp08fVK5cGWq1Gj///DM0Go2Zapt19Nf98OFDBAYGYuzYsShdujSaNGmCcePGoUaNGujWrRsKFSoEANBoNChbtmyOjbhK/+/M0t6/gkqlwpYtWzBhwgSMGjUKiYmJYiPZtm1bcd+nT5/izZs3OHPmjBihRAyjMQaSY+m/LE6fPo1ff/0VGo0G5cqVw5AhQwAAL1++FGPYAWDSpEkICwvDyZMnc0UUzvHjx3H9+nXcvHkTS5YsEeednj59OpYsWYIWLVrA1dUVr1+/RlhYGM6fP4/KlSubudam0+l0UCgUeP78OSwsLCT/ps2aNcPQoUNRu3Zt1KtXD23bthUHlX/99Ve4urqiTp06ePPmDfLly2emK8h5qCuJ5Fj6bpQvvvgCz549w9OnT7Fy5Ur069cPAODk5ASdToeQkBD0798fq1atwvbt23Nco6DT6WTLt2/fjtGjR+PUqVNISkoSyydPnoz58+fDwcEBZ8+eRXJyMs6dO5cjGwUAUCgUuH//PurUqYMJEyaI3WTJyclQKpU4fPgwmjRpgtatW2PlypUAgL///hu7du3CtWvXwBijRsFU2fmaNSFZ6cqVK8zT05OtXLmSMcZYVFQUK1y4MLOysmJdunQRt1u7di3r1KkTu3nzprmq+sH0qToeP37MtmzZwtasWcMePXokrg8KCmKCILBly5bJpshWqVQsNTU12+r7MWi1WjZ58mQmCAJr1qwZGzZsGEtISGCMpc0ZYW1tzby9vSX7BAUFsdKlS+ea1CbZjRoG8snTfznqdDrJpCobN25kAwYMYIyl5T4qWbIk69OnD1u7di2zsbFh/fr1E7fNiVlS9dd648YNVr16ddajRw/ZCXUGDx7MbGxs2KZNm9i7d+/E8tyQAFAvIiKCOTk5sWbNmjFfX182fPhwsXFYvHgxEwSBdevWjfn5+bGePXsyR0dHdu3aNTPXOueiMQbySdP3L9+9exc//fQT4uLi4OPjgzFjxgAArly5gpo1a6Jdu3YoUqQINmzYgOfPn8PHxwf3799Ht27d8L///U92kPpTpq/vzZs30ahRI/Tr1w9jx45F4cKFAQB79+6FRqNBp06dAACDBg3Chg0bsG7dOnTq1ClHv5/AMgw063Q6KJVKTJkyBW/fvoWdnR0OHDiAxo0bIygoCAULFsSRI0ewfv16pKamomzZsvD390eFChXMfCU5mDlbJUIM0d8xR0ZGssKFC7OOHTuybt26MUtLSzZr1ixxu5iYGFa5cmV28uRJxhhjL168YN9++y3btGmTmG46J3rx4gVr3Lgx++677yR3/7NmzWKCILDPP/+c7dq1SywPCAhggiCwbdu2maO6WUL/b/7ixQsx26n+2teuXcvq1q3LXr9+zRYtWsS8vb3ZiBEjxCcH/dMSTdX539HgM/kk6Z8Ufv/9d9SvXx/9+/fH7t27sXnzZgwcOBAJCQlikjhra2ukpKRgx44dePXqFebOnYs7d+7A19cXJUuWNPOVfLinT58iLi4OnTp1EsNMV65cicmTJ2Pp0qVQKpVYu3Ytdu3aBQBYtmwZRo8ejapVq5qz2v+JQqHAvXv3UKdOHXz++efYu3cv7t69CwDo27cv7OzsMH36dAwfPhwdO3bE+fPnMXfuXDx9+lRMApiTngw/VdSVRD5ZsbGxqFmzJpo2bYqff/5ZLO/WrRtu376N1NRUeHp64ssvv0RycjLmzp0LpVIJlUqFgwcPokaNGmas/X+3efNm+Pn5Qa1Wi192jx8/RnR0NBo1aoQbN25gxIgReP36NVatWoXq1aubt8JZQKfTYfLkyVi8eDEcHBzg6uqK0qVLo1ChQpg1axa2b9+Oc+fOYeXKlbCyssIPP/yAjRs3okuXLpg+fToUCrrXzQr0ghv5ZGm1WpQsWRKpqak4d+4cGjRogFmzZmHv3r2YMGECihUrhnnz5mHp0qX46aefcPToUTx48ADVq1fPFW+3enp6wsLCArt370bnzp3BGIObmxvc3Nyg0+lQuXJldO3aVcyQmhsoFAoMHToUb968waNHj1CgQAF0794dgYGB6NmzJ96+fYtjx46hUaNG6NOnD4KCgmBtbY0uXbpQo5CFqGEgnyxPT09s2bIFw4YNw5w5c1CkSBHs2bMHu3fvRsuWLQEAzZs3R8mSJXH79m30798fFStWNHOts46npyccHR2xYcMGeHt7w8PDQ1yn/xK8c+cOPD09c1WcvqurK8aNG4cff/wRERERuH//Pq5cuYIDBw7g+PHjOHbsGOzt7cXt9YEIJAuZd4iDkPe7c+cOa9GiBbO1tWXz5s1jjKUNSKpUKvb48WNWtWpVtn37drE8N9mxYwezsrJiPXv2lLyH8erVKzZ27Fjm7OzMbty4YcYafjxPnjxhQ4cOZd7e3mzhwoViOb2b8PHRGAPJER48eICAgAAolUoEBgaiUaNGAIApU6Zg8+bNOHXqVK7oPspIq9Vi7dq1GDp0KMqUKQMfHx9YWloiLi4O4eHhOHDgQI4fSzEkISEBP/zwAy5fvowOHTpg4sSJANI+F6VSaeba5V7UMJAc4969exg2bBgYY5g5cyaOHj2KqVOn4vz587n6yxEALl26hDlz5uDBgwewt7dHw4YN0bdvX5QpU8bcVfvo9I1DREQEmjVrhuDgYHNXKdejhoHkKPfu3cOoUaNw+fJlJCYm4sKFC/D29jZ3tbJFXr5LTkhIQGBgIB4/foywsDAULFjQ3FXK1ahhIDnOnTt3xMHJSpUqmbs62YZleCM4r8XrP336FABonuZsQA0DyZHUanWOn4GMkE8VNQyEEEIk6I0QQgghEtQwEEIIkaCGgRBCiAQ1DIQQQiSoYSCfnNTUVEybNg2pqanmrkq2o2vPm9f+qaGGgXxyUlNTERwcnCe/IOja8861nz59Gu3bt0exYsUgCAJ++eWX9+5z6tQpeHt7w8bGBqVKlcLKlSszbbNz505UrFgR1tbWqFixInbv3m1y3ahhIIQQM3jz5g2qVauGpUuXGrV9dHQ02rRpg0aNGiEiIgITJ07EsGHDsHPnTnGbCxcuoGvXrujZsyeuX7+Onj174uuvv8alS5dMqhu9x0A+OUlJSXB0dMSrV6/g4OBg7upkK7r2vHntgiBg9+7d6NixI3eb8ePHY8+ePYiKihLLBg0ahOvXr+PChQsAgK5duyIpKQkHDx4Ut2nVqhWcnZ2xdetWo+tD8zEQkU6nw5MnT2Bvb2/WdAtJSUmS/+YldO3Zd+2MMbx+/RrFihV77yQ/KSkpUKlU7z1exr8ba2trWFtb/+e6AmlPA/p5SPR8fX2xbt06MRPAhQsXMHLkyEzbLFq0yKRzUcNARE+ePPmkUld/SnXJbnTt2Sc2NhZubm7c9SkpKSjsURLJzxIMHid//vxITk6WlE2dOhXTpk3LimoiISEhU56ookWLQqPR4Pnz53B1deVuk5BguO4ZUcNARPpZsUZei4F1fumjfGJkLH9HnYm9kYoPeBrhncPUcxvAtFrZcsFARlPePuDcgQpKzp2pgevgnoPDYH1leo6LOVhhZOPiCOodhId3HknWaawducdq6nxPtvxMgvw0owqd/B13qj3/S1n5LlG2vLDmsWz50zLtucdyvntA8rNaq8GOPy9JZoOTo1KpkPwsASOvxMDaXr6LK/V1EhbWLoHY2FhJN1hWPS3oZXwi0f97pi+X28bUHgBqGIhI/8tjnd8BNhn+AKztDPzxmLFhYDmsYVBwGgZD1/GxGwabfFZwcHCAtaU1LJXSxISC0op7LFsL+a+PjMfQUwjy16iz4J9DyTmWFeOc29KGeywrpfw+xn5pWuezh3U+zt/BP/9+Dg4OH218xMXFJdOd/7Nnz2BhYSGmIedtY2pGWopKIoQQIzCN1uDysdWvXx9Hjx6VlB05cgS1atUSMw3ztvHx8THpXPTEQAghRmA6xn2y+5An1+TkZNy/f1/8OTo6GpGRkShQoABKlCiBwMBAxMXFYePGjQDSIpCWLl2KUaNGoX///rhw4QLWrVsniTYaPnw4GjdujNmzZ6NDhw749ddf8dtvv+Hs2bMm1Y2eGAghxAj6hoG3mCo8PBw1atQQp6UdNWoUatSogSlTpgAA4uPjERMTI25fsmRJHDhwACdPnkT16tUxffp0LFmyBF9++aW4jY+PD8LCwhASEoKqVasiNDQU27ZtQ926dU2qGz0xkEwSI2MzjSkU8C7B3f7ldfmBQJPHEgz9cZl4LJ2K/2ivsJC/H9JpTB8YFhScP6EsvXbTxisEzvUB8ne2Cou0MQmt0gZaCzvp9pw+fgB4/VbHXSdbL3C2532GAHSWtvK7aDg7GAg7ZRAM/vw+TMvvMjJ1HAgAmjRpIjvmoxcaGpqp7LPPPsO1a9cMHrdLly7o0qWLyfVJjxoGQggxQlZ3JX3KqGEghBBj6Fi2hE1/CqhhIIQQI+g0Oug08t1hvPKcihoGQggxBj0xEEIISY/pdGA6+ScDXnlORQ0DIYQYgWkZGKfLiGnpiYHkdjKPzNyQVABO1eRz3RjaR47ByA4TH9V5f8AAeEGTBvfhnsfENBoCJ4zVYPZ73l0qJ5UDMxCqK7u9Nu34AmMQmPRcCtUb7n75HDjhnq9MDGNVvzVQOU6fvklnSGMhSPfSCaYdhaKSCCGESDCtTmxE5dblJtQwEEKIEWiMgRBCiAR1JRFCCJFgGh1/8JneYyCEkLyHnhgIychAUjhe9BE3WumPOPkDGfjjUljJ/6rqVPLZ1AwlkuMl0WO8iCEDd4OCBT/JnOz2nHMoDHy+TMPZx4o/IY8p51f+cxymUIJlSGiX8ef0VGrOxDtK+clyBE7kFbPgT66j0KTKlqfqOJPuWPFnTFNlmNxHZeJ3OWMGGgZDUWU5EDUMhBBiBKbVcsOTPyS76qeMGgZCCDGGoXkXqCuJEELyIMqVRAghJD2dVgcd50U2XnlORQ0DIYQYQwcDTwzZWpOPjhoGkplCMH1qShm86COnKsXltzeQW4n3ZikvyudDcGPUPyCHEzcnEu8wav7gJW86SR5Dn4nc+XWatKgkhVYFhVYaBaSxymfSuQFAp7SSLbdSveLswJunE2AW8lFGSoHzSRoYBLYSMpwn48/vQeGqhBBCJCgqiRBCiAS9x0AIIUSCUmIQQgiRYIxxnwxy2xMDP28AyTaenp5YtGiR+LMgCPjll1/MVh9CiAydzvCSi+T5JwY/Pz9s2LBB/LlAgQKoXbs25syZg6pVq5qlTvHx8XB2djbLubkMRF2Y+jaoqbmVACAxIta0c38A3rEMRfno1LzIFk4eI845FEr+PZqONwcA7+7VxGkm9TH4TFCCCdJ6C1oVdz9LC04OJ84+vBnnwIliAgCo38kWaxjn8+KdA4CQISYr48/vo9PooON0GfHKcyp6YgDQqlUrxMfHIz4+HseOHYOFhQXatWtntvq4uLjA2pqfDIwQYgaMGV5yEWoYAFhbW8PFxQUuLi6oXr06xo8fj9jYWPz1118AgPHjx6NcuXKws7NDqVKlMHnyZKjVanH/69evo2nTprC3t4eDgwO8vb0RHh4urj9//jwaN24MW1tbuLu7Y9iwYXjzhj+XbvqupIcPH0IQBOzatQtNmzaFnZ0dqlWrhgsXLkj2MfUchBDT6N9j4C25CTUMGSQnJ2PLli0oU6YMChYsCACwt7dHaGgobt26hcWLF2PNmjVYuHChuE+PHj3g5uaGK1eu4OrVq5gwYQIsLdPSMf/xxx/w9fVF586d8fvvv2Pbtm04e/Yshg4dalK9goKCMGbMGERGRqJcuXLo3r07NBrNfzpHamoqkpKSJAshRJ7+PQbekpvk+TEGANi3bx/y588PAHjz5g1cXV2xb98+KBRp7eakSZPEbT09PTF69Ghs27YN48aNAwDExMRg7NixqFChAgCgbNmy4vZz587FN998gxEjRojrlixZgs8++wwrVqyAjQ0/F316Y8aMQdu2bQEAwcHBqFSpEu7fv48KFSp88DlmzpyJ4OBgIz8lQvI2xvjjULmsJ4meGACgadOmiIyMRGRkJC5duoSWLVuidevWePToEQBgx44daNiwIVxcXJA/f35MnjwZMTEx4v6jRo1Cv3790Lx5c8yaNQsPHjwQ1129ehWhoaHInz+/uPj6+kKn0yE6OtroOqYfCHd1dQUAPHv27D+dIzAwEK9evRKX2Fj5AV5CSN7qSqInBgD58uVDmTJlxJ+9vb3h6OiINWvWoF27dujWrRuCg4Ph6+sLR0dHhIWFYf78+eL206ZNwzfffIP9+/fj4MGDmDp1KsLCwtCpUyfodDoMHDgQw4YNy3TeEiVKGF1HfdcUkDYGAfwbrfKh57C2tqZBbkKMxLQ6ME4WVV55TkUNgwxBEKBQKPDu3TucO3cOHh4eCAoKEtfrnyTSK1euHMqVK4eRI0eie/fuCAkJQadOnVCzZk3cvHlT0vBktSw/h1zeeUPJ6nghmJzpOHkJ8XghqQDgXMPdpH0M3cGZGpZq8G5QwZkmlNO3oLCUD2M1+OYs5xwCJzTTYGJBmXUKi3+S6OnUmUJNeQnxACDFxLkxuVN7KvlfQ4JC/vPKlBAvOxh6XyGXvcdAXUlIG4RNSEhAQkICoqKi8N133yE5ORnt27dHmTJlEBMTg7CwMDx48ABLlizB7t27xX3fvXuHoUOH4uTJk3j06BHOnTuHK1euwMvLC0BaRNOFCxcwZMgQREZG4t69e9izZw++++67LKt/dpyDkLxO/+Yzb8lN6IkBwKFDh8R+e3t7e1SoUAHbt29HkyZNAAAjR47E0KFDkZqairZt22Ly5MmYNm0aAECpVOLFixfo1asXnj59ikKFCqFz587ioG7VqlVx6tQpBAUFoVGjRmCMoXTp0ujatWuW1T87zkFIXkddSXlIaGgoQkNDDW4zZ84czJkzR1KmjwCysrLC1q1bDe5fu3ZtHDlyhLv+4cOHkp/T3314enpmuhtxcnLKVPa+cxBC/huaj4EQQoiUofcV6D0GQgjJg5hMUEb6dbkINQwksyyKy9ap5CNHPiT6hxd9xItW+vtqjGx5WsVM6w4wOLDIi0bhRBJxz/0B52Dcc/APJfvJ/3NuJijAOFFAcqw4SfSUGvnEd1qFfISToE7hnkPQqmXLLRW8eRHktwcyJ97jJuLjyEtpt6lhIIQQI9DUnoQQQiSYzsBTZe4KSqKGgRBCjGIovTZ1JRFCSN5DXUmEEEIk6D0GQjLQqfh3RLw8P4JF1mVc4f3h8aKPCnjzkwdyI5a4U5TyO5B5UzoqOH9Z3OktDeDnduJsb/DuNXPU0b/HZ5k6ywUDnedaTr14+ZUs1cmy5czCwNSeKfLn50/tyf+dsxCkx9IJJg4MpA0y8NflItQwEEKIEagriRBCiARjBrqSaPCZEELyILl09OnX5SLUMBBCiBHyUlcSzcdACCFGYExncPkQy5cvR8mSJWFjYwNvb2+cOXPG4PbLli2Dl5cXbG1tUb58eWzcuFGyPjQ0FIIgZFpSUvhpR+TQEwMhhBghbT4G3hOD6Q3Dtm3bMGLECCxfvhwNGjTAqlWr0Lp1a9y6dUt2St4VK1YgMDAQa9asQe3atXH58mX0798fzs7OaN++vbidg4MD7ty5I9nXxsbGpLpRw0CMojAQesr7kzC0j6m4ceImhrEC/FDWF5ceypYLSn5iOSVnncHpNeW2l09vB4D/+XKn9rS2lC1PO1jmz0tfV61lPmitHSTrGC/uFoCzA+dzSZQv1ijl5xdXvnnBPQcvXFat40x3ykssCCCFScNi1SYm0cvqMYYFCxagb9++6NevHwBg0aJFOHz4MFasWIGZM2dm2n7Tpk0YOHCgOAFXqVKlcPHiRcyePVvSMAiCABcXF5Prkx51JRFCiDH07zHwFgBJSUmSJTU1VfZQKpUKV69eRcuWLSXlLVu2xPnz52X3SU1NzXTnb2tri8uXL0Ot/jerbHJyMjw8PODm5oZ27dohIiLC5EulhoEQQoygH3zmLQDg7u4OR0dHcZG78weA58+fQ6vVomjRopLyokWLIiEhQXYfX19frF27FlevXgVjDOHh4Vi/fj3UajWeP38OAKhQoQJCQ0OxZ88ebN26FTY2NmjQoAHu3btn0rVSVxIhhBiBMR0Yb26Mf54YYmNj4eDwb3ectbV895lexu5Axhi3i3Dy5MlISEhAvXr1wBhD0aJF4efnhzlz5ohdmvXq1UO9evXEfRo0aICaNWvip59+wpIlS95/kf+gJwZCCDGGEV1JDg4OkoXXMBQqVAhKpTLT08GzZ88yPUXo2draYv369Xj79i0ePnyImJgYeHp6wt7eHoUKFZLdR6FQoHbt2iY/MVDDQAghRjCmK8lYVlZW8Pb2xtGjRyXlR48ehY+Pj8F9LS0t4ebmBqVSibCwMLRr1w4KzqA7YwyRkZFwdXU1qX7UlUQykftF12n49xC8JHqMN4Unb3sDkR0mTwdq4Fi86KOCdT1ly1/+Ecc9FjeBIC8qiVduoL4KmcR3hggW/O2ZJvMXmBg9ZmkHZpVfsk6Z/Ix7rLi/5L8MBZ18udq+uPyBCnLKAdg9OCVbzjhRXEpHJ+6xUhT5pPVh/GlAZel0/ISKBhIt8owaNQo9e/ZErVq1UL9+faxevRoxMTEYNGgQACAwMBBxcXHiuwp3797F5cuXUbduXSQmJmLBggW4ceMGNmzYIB4zODgY9erVQ9myZZGUlIQlS5YgMjISy5YtM6lu1DAQQogxWObss5J1JuratStevHiB77//HvHx8ahcuTIOHDgADw8PAEB8fDxiYv4Nu9ZqtZg/fz7u3LkDS0tLNG3aFOfPn4enp6e4zcuXLzFgwAAkJCTA0dERNWrUwOnTp1GnTh2T6kYNAyGEGIFptWCKrE2JERAQgICAANl1oaGhkp+9vLzeG3q6cOFCLFy48IPqkh41DIQQYows7kr6lFHDQAghxqCJegghhKTHtBowhYa7LjehhoFkIiiVmfMDfUAuGFOjjwzlFzJ5ghQDj/a83Ee86COnKvyoGV5OJu60ph8wZ7DJn5eBa5c7lvgZalMBjTQLJ1MYyBPFm1qUN32pVsU9lqkEcD7Hj5n+mjH+IDNN1EMIIXmQTgPwngx09MRACCF5j44ZGHymJwZCCMl7aPCZEEKIhFYDCJwxFxp8JoSQPIieGAghhEhQw0DyMrkkeoKBKR55IYKCBWeKSc5AnU5t4HGcN2UjZzBQxwmVBfjTcfLCaz9kmtDEiFjZclPDWA3hhvCqTAvZ1H+nMav8YDYZpvbUyM9ABgC8GUQFXuim0kq2mL1NMlA7TvJE3lSohkJ1M3QDMcHEL3PqSiKEECJBTwyEEEIksji76qeMGgZCCDGCoNVCEDjdph/zjWszoIaBEEKMYqArCdSVRAgheQ+NMZA8TaHIHAVkIMEdLykdd3vusQxMScnrw+VEKxkIouKen1vOiyQCP/rIuYa7bPnL649NPgcvyuhD6isXeSX8s7mgSYWglibRg4EkeoaCyORPzpkG1cqGu4tO4M1lzPkdMtDXL2Q4f8af30fQaSBw6iNQriRCCMmD6ImBEEJIegLTQmCcpzdOeU5FDQMhhBiDwlUJIYSkJzAdd1zC1PGKTx01DIQQYgRBpzUw+ExdSSSXE5QKKHjzNsptb2KUD/eh20C+IIUlJzqGly+IN72kIdypMg1EunAigHjRR07V3EzaHgAUVqZdu8JAlJjcfa1g4N9aoXrLXadSmth9wvlShYV8DiUAUPDu0Dm/RQprfoTTf6cD/30FemIghJA8R2CMmyCQmzgwh6KGgRBCjJAWlcTpSqKoJEIIyXto8JkQQkgGDPwRstzVlWT8CGMON23aNFSvXt3c1ZDl6emJRYsWZflx/fz80LFjxyw/LiF5kYJpDS65iclPDAkJCZg5cyb279+Px48fw9HREWXLlsW3336LXr16wc7O7mPU86M7efIkmjZtisTERDg5OZm7OualY5lnBzMQmcPLY6TgRPno1PJ/RIYioXizq3FzKBkgcGf/4kQ4GZpdjbMuq6KVDO3Dq5fOUApouX30ZYIiU+SQztKWeyhba07U2VtOuVL+60bQqLjn4NFy8mrpNGruPqZl9MpMAONGQ/HKcyqTGoY///wTDRo0gJOTE3788UdUqVIFGo0Gd+/exfr161GsWDF88cUXsvuq1WpYWnLmAiSEkE+cAH4D8AHB0Z80k7qSAgICYGFhgfDwcHz99dfw8vJClSpV8OWXX2L//v1o3769uK0gCFi5ciU6dOiAfPnyYcaMGQCAFStWoHTp0rCyskL58uWxadMmcZ+HDx9CEARERkaKZS9fvoQgCDh58iSAtDt7QRBw7Ngx1KpVC3Z2dvDx8cGdO3ckdZ01axaKFi0Ke3t79O3bFykpGbJGpvPw4UM0bdoUAODs7AxBEODn5wcASE1NxbBhw1CkSBHY2NigYcOGuHLlirhvaGhopieMX375BUKGOPo9e/agVq1asLGxQaFChdC5c2fJ+rdv38Lf3x/29vYoUaIEVq9eLVkfFxeHrl27wtnZGQULFkSHDh3w8OFDcb1Wq8WoUaPg5OSEggULYty4cR90N00IkadgOoNLbmJ0w/DixQscOXIEQ4YMQb58+WS3yfhlOHXqVHTo0AF//PEH/P39sXv3bgwfPhyjR4/GjRs3MHDgQPTp0wcnTpwwueJBQUGYP38+wsPDYWFhAX9/f3Hdzz//jKlTp+KHH35AeHg4XF1dsXz5cu6x3N3dsXPnTgDAnTt3EB8fj8WLFwMAxo0bh507d2LDhg24du0aypQpA19fX/z9999G13X//v3o3Lkz2rZti4iICLFRS2/+/PmoVasWIiIiEBAQgMGDB+P27dsA0hqNpk2bIn/+/Dh9+jTOnj2L/Pnzo1WrVlCpVOL+69evx7p163D27Fn8/fff2L17t8F6paamIikpSbIQQuQJ0BlcchOjG4b79++DMYby5ctLygsVKoT8+fMjf/78GD9+vGTdN998A39/f5QqVQoeHh6YN28e/Pz8EBAQgHLlymHUqFHo3Lkz5s2bZ3LFf/jhB3z22WeoWLEiJkyYgPPnz4tPBYsWLYK/vz/69euH8uXLY8aMGahYsSL3WEqlEgUKFAAAFClSBC4uLnB0dMSbN2+wYsUKzJ07F61bt0bFihWxZs0a2NraYt26dSbVtVu3bggODoaXlxeqVauGiRMnSrZp06YNAgICUKZMGYwfPx6FChUSn5LCwsKgUCiwdu1aVKlSBV5eXggJCUFMTIy4zaJFixAYGIgvv/wSXl5eWLlyJRwdHQ3Wa+bMmXB0dBQXd3f5OQQIIWndSArOktvGGEyOSsr4VHD58mVERkaiUqVKSE1NlazLeFccFRWFBg0aSMoaNGiAqKgoU6uBqlWriv/v6uoKAHj27Jl4nvr160u2z/izMR48eAC1Wi2ps6WlJerUqWNSnSMjI9GsWTOD26S/HkEQ4OLiIl7P1atXcf/+fdjb24uNcIECBZCSkoIHDx7g1atXiI+Pl1yjhYVFps8/o8DAQLx69UpcYmPlJ50hhACCwAwuuYnRg89lypSBIAhi94ZeqVKlAAC2tpmjF+S6nDI2LIwxsUzxz2xc6fvG1Wr5KIP0A9n6/XW6rH2c09fjfXXO2Jefsc5yn01GGQfmBUEQr0en08Hb2xtbtmzJtF/hwoXfe2wea2trWFtbf/D+hOQleSkqyegnhoIFC6JFixZYunQp3rx580En8/LywtmzZyVl58+fh5eXF4B/v+Ti4+PF9ekHok05z8WLFyVlGX/OyMoqLZGXNl2oX5kyZWBlZSWps1qtRnh4uKTOr1+/lnwmGetctWpVHDt2zOTr0KtZsybu3buHIkWKoEyZMpJF3w3k6uoquUaNRoOrV69+0PmYVpt5YYy7QKeTXZiGt2hlF51aw11MP7f8OZhGC51WJ7twP49/wndNWXQqrewChSC7vLz+mLs4VXOTXQSFILvwP3cddHKLlukvNNOiUL/jLtaWguyizymUcRHDYTMsTKvhLvrJcTIuFtDILoJSyV3+fUEt/WI8BXQGl9zEpK6k5cuXQ6PRoFatWti2bRuioqJw584dbN68Gbdv34byPXP/jh07FqGhoVi5ciXu3buHBQsWYNeuXRgzZgyAtDvrevXqYdasWbh16xZOnz6NSZMmmXxRw4cPx/r167F+/XrcvXsXU6dOxc2bNw3u4+HhAUEQsG/fPvz1119ITk5Gvnz5MHjwYIwdOxaHDh3CrVu30L9/f7x9+xZ9+/YFANStWxd2dnaYOHEi7t+/j//9738IDQ2VHHvq1KnYunUrpk6diqioKPzxxx+YM2eO0dfTo0cPFCpUCB06dMCZM2cQHR2NU6dOYfjw4Xj8+LF4zbNmzcLu3btx+/ZtBAQE4OXLlyZ9boQQPuE9S25iUsNQunRpREREoHnz5ggMDES1atVQq1Yt/PTTTxgzZgymT59ucP+OHTti8eLFmDt3LipVqoRVq1YhJCQETZo0EbdZv3491Go1atWqheHDh4thrqbo2rUrpkyZgvHjx8Pb2xuPHj3C4MGDDe5TvHhxBAcHY8KECShatCiGDh0KIC3s9csvv0TPnj1Rs2ZN3L9/H4cPH4azszMAoECBAti8eTMOHDiAKlWqYOvWrZg2bZrk2E2aNMH27duxZ88eVK9eHZ9//jkuXbpk9PXY2dnh9OnTKFGiBDp37gwvLy/4+/vj3bt3cHBwAACMHj0avXr1gp+fH+rXrw97e3t06tTJhE+NEGJIXhpjEBgFu5N/JCUlwdHREQM2XYOVnb10pcLAPQRnbEfgPEHq1Br57XnzIRg6P+fcht5WFizk62VhK/8Cpo7z1vWHMHVuBcD0ORwMXbvcOjcHK4xt5IoRfnPw4K70mMo3z7nHalL4kWz56afFZMtVzh7yB7KRD38HgPyx8jdQNpB/LympYT/usRTnt0t+VmvV2HPnIF69eiXeYMke85+/C7/y9WHFeXtbpdUg9M6F9x4rp6AkeoQQYgRDTwa57YmBGgZCCDGCAvy+99yWjZQaBmIUgwnuONNocrtNeMcx0KuZMWRY3IfTxcSbRdLQsbjbG+ji4nXbcPf5gER9WTlNqOGEgGpAK01op7PiJ8VMfse5FgXn3503lwGnewYAtAr57j2mS5UvN5BAUMmkYeQ6xk+4J0ehYFAoOAkjc1mPPDUMhBBiBP1bzrx1uQk1DIQQYgwB4D5s5rJ4VWoYCCHECEohbeGty02oYSCEECMoBAYFJ/qIV55TUcNACCFGUCrSFtl1uatdoIaBZPZvbpl0ZZypKgGAqUyb75YXscO0BqKSuFE+nDoZiE4RrOUjXXgvvvFeogP41877vBS8l/4M1Jc3rWlWTROq0PeDyEztqVC/4x7rDScSR9DJR/so3r2SLWdORbnn4OFN7Wno30orWGb42bRzCgbGGEwMdPvk5bbwW0II+Sg4+Q/F5UMsX74cJUuWhI2NDby9vXHmzBmD2y9btgxeXl6wtbVF+fLlsXHjxkzb7Ny5ExUrVoS1tTUqVqz43gm75FDDQAghRtB3JfEWU23btg0jRoxAUFAQIiIi0KhRI7Ru3RoxMTGy269YsQKBgYGYNm0abt68ieDgYAwZMgR79+4Vt7lw4QK6du2Knj174vr16+jZsye+/vprk3KzAdQwEEKIURQw8MTwAcdbsGAB+vbti379+sHLywuLFi2Cu7s7VqxYIbv9pk2bMHDgQHTt2hWlSpVCt27d0LdvX8yePVvcZtGiRWjRogUCAwNRoUIFBAYGolmzZli0aJHJ10oIIeQ99GMMvAVApjnUM85qqadSqXD16lW0bNlSUt6yZUucP39edp/U1FTY2NhIymxtbXH58mVxcrALFy5kOqavry/3mDzUMBBCiBEUBrqR9JlZ3N3dJfOoz5w5U/ZYz58/h1arRdGi0oH3okWLIiEhQXYfX19frF27FlevXgVjDOHh4eI0Bc+fp2XBTUhIMOmYPBSVRAghRjA0yKwvj42NlaTdft/UuYamDc5o8uTJSEhIQL169cAYQ9GiReHn54c5c+ZIJkkz5Zg81DCQTMRpM9OXGUq+xsENS/2QSnGOxf91N5DAj5fITiMfMvoh184LMeUGU5o4h4KhckNJ9ORCWfMb+BZgBrIR5rPm/Puq5cOBwUuup1HJlwNpU4LKUMK0EGkAEDJ8+hl/fh9jGgYHBwej5mMoVKgQlEplpjv5Z8+eZbrj17O1tcX69euxatUqPH36FK6urli9ejXs7e1RqFAhAICLi4tJx+ShriRCCDGCUiEYXExhZWUFb29vHD16VFJ+9OhR+Pj4GNzX0tISbm5uUCqVCAsLQ7t27aD4py+rfv36mY555MiR9x4zI3piIIQQI2T1C26jRo1Cz549UatWLdSvXx+rV69GTEwMBg0aBAAIDAxEXFyc+K7C3bt3cfnyZdStWxeJiYlYsGABbty4gQ0bNojHHD58OBo3bozZs2ejQ4cO+PXXX/Hbb7/h7NmzJtWNGgZCCDGCIt0gs9w6U3Xt2hUvXrzA999/j/j4eFSuXBkHDhyAh0faFKjx8fGSdxq0Wi3mz5+PO3fuwNLSEk2bNsX58+fh6ekpbuPj44OwsDBMmjQJkydPRunSpbFt2zbUrVvXpLpRw0AIIUYw1GVkaleSXkBAAAICAmTXhYaGSn728vJCRETEe4/ZpUsXdOnS5YPqo0cNA8mkmIMVbPJZScoUvDxCAJhWfhBPyZnBTafh5QviDwZyz88ZnDQ0YMwbFFdw8hsZmlmOMykZdwY5gfeKrIH66gzkkJKjMJADWm6gudA/H62bR+YBSkH1hnssFxv5f5NSb11ky7VW+eUP5MgfGLW2Ky1fDvkcTm88CnKPpUyWHitVnQrc4W6eiTGDz7kFNQwkk5GNixsVWUFylzHf+5u7Ch/ZF5KfkpKSsMRxpdF7K5QAJwciODN+5ljUMJBMgnoHwdpSGn+tVdpwtuaHFPLm/lVo5cMTmcB/KlFwMnbywyn5f6lay3zyKyw58xtr5d9eBQDGuQsWNPx95Hcw0EnNeyzhfCYGjyXDzaMoxnzvj52JDM8zRIH+Pbgvd7/hY0vIll8+IP8y1fW7KfLnL8L/dy9UQD709fB1+WvMr5A/BwD8XflLyc+pKW+528oRBIH7PoCp7wl86qhhIJk8vPMIlsoMKYot+JPCC5wvLqaQ//VScL5oDTYMvMbExInnAUBrLf80xPuSh4b/ZcNs5I8lqPn7yO/wAQ0D5zMxtWHQe64FEjTSsqdRd7nb65Lly1/FPJItj7st3/1j+5r/726ZLP+C2MNb8tfoqOR/2T91+Fvys1rFTykuR58ribcuN6GGgRBCjKBUClByxm+UOnpiIISQPIcGnwkhhEjITHAnWZebUMNAMtFYO0JQSsNVmZKT/waAghPSyBtj0FjJD/4KvD5zALoM9Xkf3riHoXopk59xtjcQqssbZOYNvKvk+8B1lrbcc/Cm19RZyY/7GJqOU26wXh+S+vfgvpnGFIr+xp9RzPbxQNny/12UHxdoXUF+sNzZif+7tfWc/OdYpeBr2XK1gRRKzVQhkp/fqjTYx988k4/xHsOnihoGQggxAj0xEEIIkVAIAhScsFReeU5FDQMhhBjB4AtupmXw/uRRw0AIIUagF9wIIYRIZHXa7U8ZNQyEEGIEpcLAC27a3NUyUMNAMmnqfA+2FtJfjddv+Z2o+Rzk/yhUatMyi1la8P+4UlTyx7Li7KM1kK3U2UG+ozjuL/lYR15CVACw5kRaqjXy5SqlfL1sOdNkpp1Dfl3yO/ljvTGQDVZuOk59ltThY0tkSnPBC0kFgBluq2TL54zrLltuZessW95/lQf3HBvnyk9TWsCtpGx52Ozb3GP5tJFmfX39Vg38zN08E4VCgIKXmZfCVQkhJO/J6ol6PmXUMBBCiBHoiYEQQogEDT4TQgiRUCgF7ux4hmbNy4moYSCEECPQm88kTzuT4JJpoh6DXslHLOk4s77xEuLxJuMxRKnhJJgzlHQvUb5Y0MlHJTEDf/S82etMxd6afg5ecj+BN7MbAKbO/O+qn6P58oGETJPs8BLiAfzoo9BWW2XLlV82kC3v6fGEe47gifK/E9GW5WTLmXVV7rEqP4mV/Jycwv+cZBnIlZTbZuqhhoEQQoxAXUmEEEIkaKIeQgghEgIM5EpC7moZqGEghBAjUFcSIYQQCXrzmeRpCp0KCkEaCSPA9ITzvGgaK9Ur2fIPif7RKuSjjyzVybLlAKBRykfaqO2Ly+9gKFqKF/3Em1qUE9bClAb+FHmhMJxzKN7Jf75pKzNHMmmt8gMArt9NQdxtaZQXbzpOgJ/7iBd9pN15Trb8VPNG3HN0be0gW/7i2SPZ8pDb8tFKAPDzzwmSn1O1nIRWHGkvuPHSbpt0qE8eNQyEEGIE6koihBAiQV1JhBBCJOiJgRBCiISgECBwXljgledUuewBKM3Dhw8hCAIiIyPNXRWj+Pn5oWPHjll+3NDQUDg5OWX5cQnJk4R/M6xmXHLZawzZ98Tg5+eHDRs2YODAgVi5cqVkXUBAAFasWIHevXsjNDQ0u6qUiSAI2L1790f5ks5JUu3doLPIEG2j4P+qCOq3suXMQj5XEnScaBAD+Y14UTuCOoVzbv6xlG9eyK8oyIlKMoC9TZKvlxXn2jn1EjT8yCfGiZ4ROJ8JcyrKPRbkzuOYtr1bESVsX0ujlpyd+DmzeDOv8XIf8aKPiv52hnuOt8G+8vsUt5Utt7sSwz1WyfLSa3mnNu3b3ODUnvTE8OHc3d0RFhaGd+/+DYlLSUnB1q1bUaJEieysCiGEmETflcRbcpNsbRhq1qyJEiVKYNeuXWLZrl274O7ujho1aki2ZYxhzpw5KFWqFGxtbVGtWjXs2LFDXJ+YmIgePXqgcOHCsLW1RdmyZRESEiI5xp9//ommTZvCzs4O1apVw4ULF7h18/T0BAB06tQJgiCIPwPAihUrULp0aVhZWaF8+fLYtGmTuE6u2+rly5cQBAEnT54Uy27evIm2bdvCwcEB9vb2aNSoER48eCCpw7x58+Dq6oqCBQtiyJAhUKv/jSFXqVQYN24cihcvjnz58qFu3bqS4wNpXUclSpSAnZ0dOnXqhBcvOHfGhBCTUcPwEfXp00fyBb5+/Xr4+/tn2m7SpEkICQnBihUrcPPmTYwcORLffvstTp06BQCYPHkybt26hYMHDyIqKgorVqxAoUKFJMcICgrCmDFjEBkZiXLlyqF79+7QaOQfy69cuQIACAkJQXx8vPjz7t27MXz4cIwePRo3btzAwIED0adPH5w4ccLoa46Li0Pjxo1hY2OD48eP4+rVq/D395fU5cSJE3jw4AFOnDiBDRs2IDQ0VNKt1qdPH5w7dw5hYWH4/fff8dVXX6FVq1a4d+8eAODSpUvw9/dHQEAAIiMj0bRpU8yYMcNgvVJTU5GUlCRZCCHylErB4JKbZHtUUs+ePREYGCjeaeu/7NLf/b558wYLFizA8ePHUb9+fQBAqVKlcPbsWaxatQqfffYZYmJiUKNGDdSqVQsAJHf4emPGjEHbtm0BAMHBwahUqRLu37+PChUqZNq2cOHCAAAnJye4uLiI5fPmzYOfnx8CAgIAAKNGjcLFixcxb948NG3a1KhrXrZsGRwdHREWFgZLy7R+znLlpG9oOjs7Y+nSpVAqlahQoQLatm2LY8eOoX///njw4AG2bt2Kx48fo1ixYuK1HTp0CCEhIfjxxx+xePFi+Pr6YsKECeLxz58/j0OHDnHrNXPmTAQHBxt1DYTkdYKB+Ri48zTkUNl+OYUKFULbtm2xYcMGhISEoG3btpnu9G/duoWUlBS0aNEC+fPnF5eNGzeK3S+DBw9GWFgYqlevjnHjxuH8+fOZzlW16r+Tdri6ugIAnj17ZlJ9o6Ki0KCB9BX/Bg0aICoqyuhjREZGolGjRmKjIKdSpUpQKv8d+HN1dRXreu3aNTDGUK5cOcnncerUKfHziIqKEhtRvYw/ZxQYGIhXr16JS2xsrMHtCcnLBEEwuOQmZnmPwd/fH0OHDgWQdjedkU6XlgNm//79KF5cGilibZ2W56Z169Z49OgR9u/fj99++w3NmjXDkCFDMG/ePHHb9F/E+n84/bFNkfEfnTEmlin+eeWRpcvlk35sAABsbeUjKNLL2GgIgiDWVafTQalU4urVq5LGAwDy58+f6fzGsra2Fj9PQohhCgsBCgvOC26c8pzKLA1Dq1atoFKlhc35+mYOR6tYsSKsra0RExODzz77jHucwoULw8/PD35+fmjUqBHGjh0raRhMZWlpCa1WOr2jl5cXzp49i169eoll58+fh5eXl1gHAIiPjxcH0DO+P1G1alVs2LABarXa4FMDT40aNaDVavHs2TM0aiQf8lexYkVcvHhRUpbxZ2Mp3yVCmWFqT52lgcaNl8xNkyq/uQWnMVLLT9MJAAJvGkstJ8lbCv8GQODU1+7BKe4+fPJfCDpO34KCl1zP0BmY/JSjWoXpv0tyyQit7UoDAAoVsIRlsvTfZus5+c8dADbOfSxbzpuOk5cQjxeSCgCXpx6WLa88rplseefq/Bskn9bSm8zX79TAfu7mmdBEPR+ZUqkUu2Iy3gEDgL29PcaMGYORI0dCp9OhYcOGSEpKwvnz55E/f3707t0bU6ZMgbe3NypVqoTU1FTs27dP/LL+UJ6enjh27BgaNGgAa2trODs7Y+zYsfj6669Rs2ZNNGvWDHv37sWuXbvw22+/AUh7GqhXrx5mzZoFT09PPH/+HJMmTZIcd+jQofjpp5/QrVs3BAYGwtHRERcvXkSdOnVQvnz599arXLly6NGjB3r16oX58+ejRo0aeP78OY4fP44qVaqgTZs2GDZsGHx8fDBnzhx07NgRR44cMTi+QAgxjSAYePM5l3UlmW3IxMHBAQ4O8ncQADB9+nRMmTIFM2fOhJeXF3x9fbF3716ULFkSAGBlZYXAwEBUrVoVjRs3hlKpRFhY2H+q0/z583H06FFJ+GzHjh2xePFizJ07F5UqVcKqVasQEhKCJk2aiPutX78earUatWrVwvDhwzNFAxUsWBDHjx9HcnIyPvvsM3h7e2PNmjUmPT2EhISgV69eGD16NMqXL48vvvgCly5dgru7OwCgXr16WLt2LX766SdUr14dR44cydRAEUI+nD5XEm/JTQT2IZ3TJFdKSkqCo6Mj2lTqAsss6Eriddlwu5J43UKA7DwCgIGuJANdNrx6WasS+efnH022NCd1JZX0Ko3ZOxfj1PeD8CrmvmSdoa6kZXPl37AOnvhAtryzL6crKVn++gDTu5I0GkNdSS6Sn1+/U6PSwJ149eqVwZtU/d/FtYUdYW8r/5m/fqdGzZG/vPdYOQUl0SOEECNQ2m1CCCESlHab5GmFNY9hxaS/GgoDsyDyOkdSdfK/XkpB/nFfw/i3XVaCfAUsFfJnN3QstY4zvSanW0gAv3uCtw9jph1LC36XjQXkr53p5KO+DB1LiczdNtZIiwY7fF2Bh7ekn02Vgq+5xyrgVlK2PNpSfnpN3nScvIR4AL/L6MacY7Lld5ryI5y02njJz2/VJk7tmYfSblPDQAghRlBaCFBy3lfgledU1DAQQogRBPDfcBZy2YQMuWzIhBBCPg59riTe8iGWL1+OkiVLwsbGBt7e3jhzhj83BQBs2bIF1apVg52dHVxdXdGnTx9JFuXQ0FDZdB0pKfLzlvBQw0AIIUZQWigMLqbatm0bRowYgaCgIERERKBRo0Zo3bo1YmLkJxvSZ2Do27cvbt68ie3bt+PKlSvo16+fZDsHBwfEx8dLFhsbzsRRHNQwEEKIEbL6iWHBggXo27cv+vXrBy8vLyxatAju7u5YsWKF7PYXL16Ep6cnhg0bhpIlS6Jhw4YYOHAgwsPDpfUUBLi4uEgWU9EYA8nkaZn2sLTMcIfxAYHaghXvRTbOC00fkFaAaTgvuBn4SxU416J0dJI/B6++AMBLysh5b1RhLX/npuNdBwBBJm2MwXqZmCjyjUdBAEB+RQocldJpWtUGLj1s9m35ellXlS0PuS0frWRoOk5e7iNe9FH5E/IvxAHAn19KsySncOZm4UlrAHhRSWn/zTinCS9RpUqlwtWrV8U0+XotW7aUzRQNAD4+PggKCsKBAwfQunVrPHv2DDt27BCnFtBLTk6Gh4cHtFotqlevjunTp2eaCO196ImBEEKMYExKDHd3dzg6OorLzJkzZY/1/PlzaLVaFC0qfXu8aNGiSEhIkN3Hx8cHW7ZsQdeuXWFlZQUXFxc4OTnhp59+ErepUKECQkNDsWfPHmzduhU2NjZo0KCBOKGXseiJgRBCjCAoBCje8x5DbGysJCXG+9LaG0rpn9GtW7cwbNgwTJkyBb6+voiPj8fYsWMxaNAgrFu3DkBazrR69eqJ+zRo0AA1a9bETz/9hCVLlrz/Iv9BDQMhhBjBmBnc3pccVK9QoUJQKpWZng6ePXuW6SlCb+bMmWjQoAHGjh0LIC2df758+dCoUSPMmDFDnIwsPYVCgdq1a5v8xEBdSYQQYgSFUgGFBWdRmvZVamVlBW9vbxw9elRSfvToUfj4+Mju8/btW3FiMD39tAW8XKiMMURGRso2GobQEwMhhBghq5PojRo1Cj179kStWrVQv359rF69GjExMRg0aBCAtKl34+LisHHjRgBA+/bt0b9/f6xYsULsShoxYgTq1KkjzgUfHByMevXqoWzZskhKSsKSJUsQGRkpO1OmIdQwEEKIEbI6V1LXrl3x4sULfP/994iPj0flypVx4MABeHh4AEibFTL9Ow1+fn54/fo1li5ditGjR8PJyQmff/45Zs+eLW7z8uVLDBgwAAkJCXB0dESNGjVw+vRp1KlTx7RrpfkYiJ4+73z3sg1gpZTeM/CSxQGAhSAfHqli8vcdvIR4hpLV8fCS5fHqBAApzEq+XJHP5PMzgTNPxAfMu2DgLLKlSiYf4qoV+PM0CDIpD0t6lcacHYswJng//oz5W7LuG1UI91g+beTj4/9+Ij9F688/y0fblCzGr2/zzsVly8/si5ct//Ox/LSiAKDdeU7yc8rrJMwq52T0fAwJB76FQz75352kNyq4tNlM8zEQQkheojAQlcQrz6moYSCEECMoLAQoOFlUeeU5FTUMhBBiBEEwMMbwAW/tf8qoYSCEECNQVxLJk/RxCGpt5sFhQ4PPOu7gM2eHbBh85tUJANScfdScwVxDGOc82TH4rOMOPvOPJDf4nKpORVJSElJT3kKtkg4cv1Xx8wm9fit//uQU+fJUmd8rAHin5lf49Tv5Y/FmXzOU/0j7WprHKDU57Wdj42+SU9XcLqPkVNN/dz5lFJVERI8fP4a7u7u5q0FItoqNjYWbmxt3fUpKCkqWLMnNYaTn4uKC6Ohok1Ncf4qoYSAinU6HJ0+ewN7e3qx9pklJSXB3d8+UdyYvoGvPvmtnjOH169coVqxYpjeKM0pJSYFKxQ+FBdLeZs4NjQJAXUkkHYVCYfDOKbsZm3cmN6Jrz55rd3R0NGo7GxubXPOlbwzKlUQIIUSCGgZCCCES1DCQT461tTWmTp363lz2uRFde9689k8NDT4TQgiRoCcGQgghEtQwEEIIkaCGgRBCiAQ1DIQQQiSoYSCEECJBDQMhhBAJahgIIYRIUMNACCFE4v8OXaz6A59PtgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] @@ -2747,7 +2772,7 @@ "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', 'Mesh touched', 'Ground touched'])\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=(4,4), batchlabels=batchlabels)" ] @@ -2952,17 +2977,7 @@ }, { "cell_type": "code", - "execution_count": null, - "id": "b25496e3-907f-4c5e-bdb3-6bd0d8f3d2fc", - "metadata": {}, - "outputs": [], - "source": [ - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 94, + "execution_count": 117, "id": "b431b6fb-2acf-4d52-90ba-6ea754ee1d6c", "metadata": {}, "outputs": [ @@ -2974,6 +2989,16 @@ "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", @@ -2987,6 +3012,16 @@ "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", @@ -3000,6 +3035,16 @@ "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", @@ -3013,6 +3058,16 @@ "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", @@ -3026,6 +3081,16 @@ "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", @@ -3038,6 +3103,30 @@ "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" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_162994/1350806041.py:109: 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": [ "setting threshold for quantile 0.001\n", "Baseline threshold set at -0.044841\n", "\n", @@ -3050,6 +3139,26 @@ "EER: 0.4923076923076923 th: 0.2817379300134156\n" ] }, + { + "data": { + "image/png": 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", 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", 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", @@ -3070,6 +3179,26 @@ "metadata": {}, "output_type": "display_data" }, + { + "data": { + "image/png": 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", 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", 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", @@ -3090,6 +3219,26 @@ "metadata": {}, "output_type": "display_data" }, + { + "data": { + "image/png": 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", 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", 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", @@ -3110,6 +3259,26 @@ "metadata": {}, "output_type": "display_data" }, + { + "data": { + "image/png": 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", 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", 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", @@ -3130,6 +3299,26 @@ "metadata": {}, "output_type": "display_data" }, + { + "data": { + "image/png": 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", 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", 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", @@ -3150,6 +3339,26 @@ "metadata": {}, "output_type": "display_data" }, + { + "data": { + "image/png": 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cL774ovt9lnqFUCAiRAx+dM0MBgNvnXitVuv1VNHR0ZDJZB6tkOHhYY/WiotSqURrayssFguuXr0KvV4PtVqNyMhIREdHAwBiYmLwySefYGJiAt9//z2++eYbREREICEhgbleIUHPI3I6AJb5V9cvjzPXOR7EkhrBLOVxoeI0c9l154uYy94cZ1tOw+W7S+zftSplKXPZkaFJpnI2+fS/75DBArP+RsDl41YvYaoXAMb/zvZdW2xTgRXwdZv+1vGoqChERUXNeqrQ0FCkpaWhs7MT27dvdx/v7Oz0uU89AMjlcsTHxwOY3ixx69atkEr57ROFQoH77rsPdrsdH330EZ577rmg670dTWgkRARzPbO6vLwcRUVFWL9+PTIzM3H06FHo9XqUlpYCmN6FZ3Bw0D1XqL+/HzqdDunp6RgdHUVdXR36+vpw4sQJ9zm//PJLDA4O4qGHHsLg4CCqqqrgdDrx2muv+V2vvygQESICjvPx0CvDhMaCggKMjIyguroaRqMRKSkp6OjocO9BbzQaeXN7HA4HamtrcfnyZcjlcmRnZ6OrqwtqtdqdZ3JyEhUVFbhy5QoiIiKwZcsWtLW1YdmyZX7X6y8KRISIwY+uWaDKyspQVlbm9b3jx4/zXms0Gt7ERG8ee+wxXLp0Kah6/UWBiBARcA4HOCk99OpCgYgQMdAuHjwUiAgRA8f56Jotvqfv/Q5EVquVN7PTbDbPywURshjQMiB8fk9orKmp4c3yVKlU83ldhCxsjinfaZHxOxBptVreLE+DwTCf10XIwjYP6xHdzfzumoWFhSEsLGw+r4WQxYMGq3losJoQEXBOBzinwO17geMLGQUiQsTA+WgRUdeMEHJHzMPM6rsZBSJCxOBwABKBu2M0szpwm56+D1HhoQGXcwSxra71BvvtzRtBLCESzFIe/3NTG3PZF0/vYC4LAP9UtJq5rFwhmz2TgI1PxzOVk0bcCwB4KPteOMw3Ay4vCwlsUa6ZEtYtYyo3brEBJ2fP50YtIh5qEREiBrprxkOBiBAxOKcAp0Br07n4JjRSICJEDNQi4qFARIgYaIyIhwIRIWKgQMRDgYgQMTgdwmNBi3BmNW0nRIgIJE7OZ2LR2NiIhIQEKBQKpKWl4dy5cz7zNzQ0QKPRQKlUIjk52b2w/kz19fVITk6GUqmESqXCvn37MDn54+4sVVVVkEgkvBQXFxfwtVOLiBBR+HrKPvCu2alTp7B37140NjZi48aNOHLkCPLy8nDp0iWsXu05j6ypqQlarRbNzc3YsGEDdDod9uzZg+XLlyM/Px8A8MEHH2D//v1obW1FVlYW+vv73Zswvvvuu+5zPfjggzhz5oz79e0bMPqDAhEhYnBOARKBDgnD7fu6ujoUFxdj9+7dAKZbMqdPn0ZTU5PXHWLb2tpQUlKCgoICAEBiYiIuXryIQ4cOuQPRhQsXsHHjRjz//PMAALVajR07dkCn0/HOFRISwtQKmom6ZoSIQMI5fSYAvH3vzWYzb4XUmWw2G3p6epCTk8M7npOTg66uLq9lrFYrFAoF75hSqYROp4PdPr3J5KZNm9DT0+MOPFeuXEFHRweeeOIJXrmBgQGsWrUKCQkJKCwsxJUrVwL+PigQESIGPxZGU6lUvFVRvbVsAMBkMsHhcHhs8xwbG+uxHbRLbm4ujh07hp6eHnAch+7ubrS2tsJut8NkMgEACgsL8dZbb2HTpk2Qy+VISkpCdnY29u/f7z5Peno6Tp48idOnT6O5uRlDQ0PIysrCyMhIQF8Hdc0IEYGEc0DCeb875jpuMBh4W07PtjChRMJ/xo7jOI9jLpWVlRgaGkJGRgY4jkNsbCx27dqFw4cPu8d4zp49i4MHD6KxsRHp6en49ttv8corr2DlypWorKwEAOTl5bnPmZqaiszMTCQlJeHEiRMoLy+f5Vv4EbWICBGDaxcPr2n6rllUVBQvCQWi6OhoyGQyj9bP8PCwRyvJRalUorW1FRaLBVevXoVer4darUZkZCSio6MBTAeroqIi7N69G6mpqdi+fTveeecd1NTUwCkw+zs8PBypqakYGBgI6OugQESICPwZI/JXaGgo0tLS0NnZyTve2dmJrKwsn2Xlcjni4+Mhk8nQ3t6OrVu3QiqdDgsWi8X9/y4ymQwcx4ET2PLIarXi66+/xsqVKwP6DEF3zX743oJJpT3gcjHqJcx1BrPdysTf2ZcBuTke+Od0CWYpj1/n/pa5LAD8t0vFzGVtFvbJdeM/eB9cnY3cZsMSADfNdthHA//3ck6x/3yMj7D9fNyYDPBng+OE9y9j2NesvLwcRUVFWL9+PTIzM3H06FHo9XqUlpYCmN78YnBw0D1XqL+/HzqdDunp6RgdHUVdXR36+vpw4sQJ9znz8/NRV1eHhx9+2N01q6ysxJNPPunuvr366qvIz8/H6tWrMTw8jLfffhtmsxk7d+4M6PppjIgQEUi4KUg47+M3Ei7w2/cFBQUYGRlBdXU1jEYjUlJS0NHRgTVr1gAAjEYj9Hq9O7/D4UBtbS0uX74MuVyO7OxsdHV1Qa1Wu/NUVFRAIpGgoqICg4ODiImJQX5+Pg4ePOjOc+3aNezYsQMmkwkxMTHIyMjAxYsX3fX6iwIRISKQcBwkAi0foeOzKSsrQ1lZmdf3jh8/znut0WjQ29vr83whISE4cOAADhw4IJinvb094Ov0WtecnIUQEhh66JWHAhEhIpByDkg57/eKpAK39RcyCkSEiIK7lYTeW1woEBEiAgk4SAQCjtDxhczvQGS1WnnPupjN5nm5IEIWA+qa8fk9obGmpob33ItKpZrP6yJkQZPgx1aRZ1p8/A5EWq0WY2Nj7mQwGObzughZ0ISDkHCXbSHzu2sWFhY260N3hBD/THfNvLd9FmPXjAarCRGFr5YPtYgIIXeA5FYSem+xoUBEiAgkEg4SicDte4HjCxkFIkJEIIUTUoFF8oWOL2QUiAgRAU1o5As6EA3rJ2AJkwdcLpg1hWRycdZz++7SOHPZfyry3NLFX8GsJwQAtf+lhblsxbUS5rJf/fEHpnJLVk4gBsDI4E1YhiYCLh+qCHw7G5dxhvWPAGDCGth6RDRGxEctIkJEIJM4IZN474IJHV/IKBARIgJqEfFRICJEBHTXjI8CESEikEk4yAQCjtDxhYx28SBEBBKJ78SisbERCQkJUCgUSEtLw7lz53zmb2hogEajgVKpRHJysnth/Znq6+uRnJwMpVIJlUqFffv2YXJyMqh6vaEWESEikIKDVOA2vdBxX06dOoW9e/eisbERGzduxJEjR5CXl4dLly5h9WrPO7ZNTU3QarVobm7Ghg0boNPpsGfPHixfvhz5+fkAgA8++AD79+9Ha2srsrKy0N/fj127dgEA3n33XaZ6hVCLiBARSKWATCBJGX4r6+rqUFxcjN27d0Oj0aC+vh4qlQpNTU1e87e1taGkpAQFBQVITExEYWEhiouLcejQIXeeCxcuYOPGjXj++eehVquRk5ODHTt2oLu7m7lewe8j8I9MCAmWZJYETC8+ODPNXJhwJpvNhp6eHuTk5PCO5+TkoKury2sZq9UKhULBO6ZUKqHT6WC3T8+J2rRpE3p6eqDT6QAAV65cQUdHB5544gnmeoVQICJEBFIJ5zMBgEql4i1GWFNT4/VcJpMJDofDY3vp2NhYj22oXXJzc3Hs2DH09PSA4zh0d3ejtbUVdrsdJpMJAFBYWIi33noLmzZtglwuR1JSErKzs7F//37meoXQGBEhIvA1KO06bjAYEBUV5T4+23pgkttOyHGcxzGXyspKDA0NISMjAxzHITY2Frt27cLhw4fdu7iePXsWBw8eRGNjo3un11deeQUrV65EZWUlU71CqEVEiAiExodcCQCioqJ4SSgQRUdHQyaTebRChoeHPVorLkqlEq2trbBYLLh69Sr0ej3UajUiIyMRHR0NYDpYFRUVYffu3UhNTcX27dvxzjvvoKamBk6nk6leIRSICBGBVOI7BSI0NBRpaWno7OzkHe/s7ERWVpbPsnK5HPHx8ZDJZGhvb8fWrVshvTVabrFY3P/vIpPJwHEcOI4Lqt7bUdeMEBH40zULRHl5OYqKirB+/XpkZmbi6NGj0Ov1KC0tBTC95vzg4KB7rlB/fz90Oh3S09MxOjqKuro69PX14cSJE+5z5ufno66uDg8//LC7a1ZZWYknn3zS3X2brV5/USAiRAQhEiBEoD/iYHjmtaCgACMjI6iurobRaERKSgo6OjqwZs0aAIDRaIRer/+xDocDtbW1uHz5MuRyObKzs9HV1QW1Wu3OU1FRAYlEgoqKCgwODiImJgb5+fk4ePCg3/X6S8JxHNN8crPZjKVLl0L/ux2ICg8NuHz4isDLuNgsU8xlZaHsvVGbhX1R82A+78Tf2JamcFmyLPBlWlzejj/CXLbkTy8wlQtZpkZ0zkGM/akSDvP3AZeXCf2G+2HsPydnz+TF+E07Ul76GGNjY7wB5tu5fm/2r9+AsBDv7QDr1BT+e/d/zHquhYRaRISIQOJjLIj1EY+7GQUiQkQw8+6Yt/cWGwpEhIjA192xQO+aLQQUiAgRwVzfNbvbUSAiRAQyqQQygaaP0PGFzO9AZLVaeQ/dmc3mebkgQhYDqY+n7Fmevr/b+f2Ra2pqeA/gqVSq+bwuQha0uZxZvRD4HYi0Wi3GxsbcyWAwzOd1EbKgSSQSn2mx8btrFhYWNuvTv4QQ/0hlgExg+zXp4luymgarCRED3b7no0BEiAh8dcGoa0YIuSNkUuGumWzxbfRKgYgQMUglEkgFWj5CxxcyCkSEiIDGiPiCDkQX/v06loQGfhrNhhXMddom2ZfjmBizM5cdGWJbIgIANj4dz1x2/Afvuzf466s//sBctiSVbSkPADjyk98wlYsLAUoA6L8yw2L8W8DlbZPsfRvz39l+Piy2wJamkcokkMoEWkTOxReJqEVEiAioRcRHgYgQEUik00novcVmEX5kQsQnvfXQq7ckZWwSBboHfUNDAzQaDZRKJZKTk93rWbs8/vjjXmd9uzZYBICqqiqP9+Pi4gK+dmoRESKCuX7oNdA96JuamqDVatHc3IwNGzZAp9Nhz549WL58OfLz8wEAH3/8MWy2H5cpHhkZwbp16/Dss8/yzvXggw/izJkz7tcyoXkJPlAgIkQEcz2hceYe9ABQX1+P06dPo6mpyesOsW1tbSgpKUFBQQEAIDExERcvXsShQ4fcgWjFCv4Npfb2dixZssQjEIWEhDC1gmairhkhInAtjCaUAsGyB73VaoVCoeAdUyqV0Ol0sNu93zlsaWlBYWEhwsPDeccHBgawatUqJCQkoLCwEFeuXAnsA4ACESGikEklkMkE0q0xIrPZzEsz1wObiWUP+tzcXBw7dgw9PT3gOA7d3d1obW2F3W6HyWTyyK/T6dDX1+ducbmkp6fj5MmTOH36NJqbmzE0NISsrCyMjIwE9H1QICJEBNJbg9JCCQBUKhVvDTBvXayZAtmDvrKyEnl5ecjIyIBcLse2bduwa9cuAN7HeFpaWpCSkoJHH32UdzwvLw9PP/00UlNT8dOf/hR/+MMfAIC3UaM/KBARIgJ/umYGg4G3BphWq/V6LpY96JVKJVpbW2GxWHD16lXo9Xqo1WpERkYiOjqal9disaC9vd2jNeRNeHg4UlNTMTAw4Me38CMKRISIQLBbdisBQFRUFC8JrQcWzB70crkc8fHxkMlkaG9vx9atWz32u//www9htVrxwguzz7K3Wq34+uuvsXLlylnzzkR3zQgRwVzv4jHbHvRarRaDg4PuuUL9/f3Q6XRIT0/H6Ogo6urq0NfX57VL1dLSgqeeegr33HOPx3uvvvoq8vPzsXr1agwPD+Ptt9+G2WzGzp07A7p+CkSEiGCub9/Ptge90WiEXq9353c4HKitrcXly5chl8uRnZ2Nrq4uqNVq3nn7+/tx/vx5fPHFF17rvXbtGnbs2AGTyYSYmBhkZGTg4sWL7nr9RYGIEBHM7IJ5e49FWVkZysrKvL53/Phx3muNRoPe3t5Zz/nAAw+A44TXrm1vbw/oGoUEHYgi4xMRrggNuFzoPUuZ65Ta2J++55SBPSU9k01umz2TAGnEvcxl5Tb2egFgycoJ5rIhyyKYy8Yx/nRF37ppo4hmW7FAbgtiZbEotp8P2aQNwFn/C/h41mwxjtwGHYg2/ls9oqKi5uJaiIAlQZaPmZOrCFxJkOXvf/Zf5+Q67gSz2QwcbPU7P+30yhd0IOo/uR8RysB397g3IXz2TAJGr7OvC+SYYv9rOWSwMJd9KJu9RXTTzL6GEgCMDN5kLntfciRzWf1XbJtwKqLjcf+z/4qPRjmYGBq/6e2vMNUbjBs3A2u1SqQSSAQebhU6vpAFHYhuDl+FTCEPuNzUcvYf8Mlh9oAwZQ9i0Sz9DeayDjN7MLCPBtc1swyxd80cK5ex18uwqNlMJgcwxNBTmrj+/4Kql4XFGtgfC5nEx5bTi7BJRIPVhIiA1iPio0BEiAhoOyE+CkSEiEAmE75Nz7Ccz13P70BktVp5T/+azWwDkYQQ6prdzu+PXFNTw3sSWKVSzed1EbKgeVuCdWZabPwORFqtlvcksMFgmM/rImRBk4VIfKbFxu+uWVhYmODTv4SQwNCERj4arCZEBDShkY8CESEikEqFH3pl3U7obkaBiBARUNeMjwIRISKgrhkfBSJCRECBiC/oQHS1/waWhAZ+moe3BLam7Uwj19gfILWa2dcyilvNviBHMLdknVPCC1P5I1TBPlVXFsI+u842yfaAsWs9ofT2V5geYD3zi//DVC8APPiv/8xUzmIL7Onc+VgY7W5GLSJCREAzq/kW4UcmRHzzMbO6sbERCQkJUCgUSEtLw7lz53zmb2hogEajgVKpRHJysnthfZfHH3/c67U98cQTQdXrDQUiQkQgDZH4TIE6deoU9u7dizfeeAO9vb3YvHkz8vLyeAvmz9TU1AStVouqqip89dVXePPNN/Hyyy/js88+c+f5+OOPYTQa3amvrw8ymQzPPvssc72C30fAn5gQEjSpxHcKVF1dHYqLi7F7925oNBrU19dDpVKhqanJa/62tjaUlJSgoKAAiYmJKCwsRHFxMQ4dOuTOs2LFCsTFxblTZ2cnlixZwgtEgdYr+H0E/pEJIcGSSCTuO2ce6VbXbOa+92azmbf6xUw2mw09PT3IycnhHc/JyUFXV5fXMlarFQqFgndMqVRCp9PBbve+2mRLSwsKCwsRHh7OXK8QCkSEiEAqk/hMAKBSqXgrXtTU1Hg9l8lkgsPh8NheOjY21mMbapfc3FwcO3YMPT094DgO3d3daG1thd1uh8lk8siv0+nQ19fH23aapV4hdNeMEDH4mEfk6psZDAbeDjmzPXR++yA3x3GCA9+VlZUYGhpCRkYGOI5DbGwsdu3ahcOHD0PmZWW2lpYWpKSk4NFHHw2qXiHUIiJEBFKp7wSAt+99VFSUYCCKjo6GTCbzaIUMDw97tFZclEolWltbYbFYcPXqVej1eqjVakRGRiI6OpqX12KxoL29ndcaYq1XCAUiQkTgT9fMX6GhoUhLS0NnZyfveGdnJ7KysnyWlcvliI+Ph0wmQ3t7O7Zu3QqplB8WPvzwQ1itVrzwwgtzVu/tqGtGiAjm+hGP8vJyFBUVYf369cjMzMTRo0eh1+tRWloKYHphw8HBQfdcof7+fuh0OqSnp2N0dBR1dXXo6+vDiRMnPM7d0tKCp556Cvfcc0/A9fqLAhEhIpjrQFRQUICRkRFUV1fDaDQiJSUFHR0dWLNmDQDAaDTy5vY4HA7U1tbi8uXLkMvlyM7ORldXF9RqNe+8/f39OH/+PL744gumev1FgYgQEcwcC/L2HouysjKUlZV5fe/48eO81xqNBr29vbOe84EHHgDH+X7W0Ve9/qJARIgIpFLhsSBaGI0QckfQMiB8QQciX8sZ+GK8PM5c59+GJpnLTtnZlqYAgPG/B7a/+UwJ65ax1ztiYy4LAOOj7OXH/pP9uzazfl9RDBvez8C6lAcAfPU//i9TuclxM/DhMr/zS6USwZYPtYgIIXeENASCD7dKF+Fv5SL8yISIj7pmfBSICBEBLZ7PR4GIEBFIfezoyrIe0d2OAhEhInAtAyL03mJDgYgQEdAYEZ/fgchqtfIWZjKbzfNyQYQsBjIfXbNgdny5W/k9mbympoa3SJNKpZrP6yJkQRNcndHXOkULmN+BSKvVYmxszJ0MBsN8XhchC5prOyGhtNj43TULCwubdYU4Qoh/aGY1Hw1WEyICX9sG0e17QsgdQbfv+SgQESIC6prxMQci12JJFjvbk9LjFvYn2Ses7GWn7L4XefLFYmN/Knzcwv4E/I1J9s8LBPd9jd9kL8v6fckmbTCbzbhx0wYLw7UH8+80Oc42LcV6Y7rcbIuIudyw2gW7YDeC+Pe6W0k4f7+521y7do1u4RNyG4PBgPj4eMH3JycnkZCQMOu+X3Fxcfjuu+88NkFcqJgDkdPpxPXr1xEZGenRpzWbzVCpVB77Mt0JYtVN9S7uejmOw/j4OFatWuWxC8btJicnYbP5biGHhoYumiAEBNE1k0qlPiM/8OO+TGIQq26qd/HWu3TpUr/OoVAoFlWQ8ccinDpFCPlHQ4GIECK6eQlEYWFhOHDggCgzscWqm+qlegk75sFqQgiZK9Q1I4SIjgIRIUR0FIgIIaKjQEQIER0FIkKI6CgQEUJER4GIECI6CkSEENH9fxBgJKXQDiDyAAAAAElFTkSuQmCC", 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BRLh69Sq87k83YGFhoazPgAEDkJ2djQ0bNqgEFEtLS2Uef39//Pjjj9i2bRv+ZTAjXzFN4DaUOvr7VuGKzzO43d4ZX763C89OaN54tB07dsSYMWOwfft23Lt3Ty39zp07rS7TyJEj0bdvX6xbt065THHJ09hr7v1BnCwtLeHn54ekpCSV7SYlJWFoI2PaDhs2DNevX8fdu3eVyy5cuAALC4tGZ48jIpW5mFqbhxkhbbcO12WIvTwqYmKIADq1bt2DbmMiqq0l+v33xlfNzc0lFxcX8vX1pS+++IIuXLhAWVlZtG3bNvLx8SGihruNFZ9Hfb08RKLr1crKiq5evdqqaim6jaOjoykrK4vCw8PJxsaG8vPzlXmWLl1KoaGhyvclJSXUrVs3euGFF+i///0vJScnk5eXF4WFhSnzrF+/nhITE+nSpUuUnZ1N77//PrVr146ioqKUeZYtW0YpKSmUl5dHv/76Ky1fvpwsLCwoMTGxVXVhusfdxq1RW0vUpw/VPvus6n0oRLR0KVHv3kQVFY1v4vr16zR//nzq3r07WVpakpubG02cOJFOnDhBRCKgAFB7zZkzh4gaDii1tbXk7e1N//d//9fq6m3fvl1ZrkGDBlFycrJK+owZM2jkyJEqy7Kzs+npp58ma2tr6tatG0VERFBpaakyfcWKFfToo4+SXC6nDh06UEBAAMXGxqpsY/bs2cr9du7cmZ566ikOJkamucethEi3A8QWFxfDwcEBRUVFhje38bFjQFAQar79Fkfun+aPGzcOUqkUv/4qHtfZsAF44w09l5MxHWvuccttKA977z0xQNKIEWpJ/foBCxYAq1c3PrshY+aMA4pCRgZw/Djw+usNDoy0erW4x+3rr3VbNMaMBQcUhbVrxRwbkyc3mMXBQUwa5uKigbFUGDNBfB8KACQmioGS9uwRjyE30k8cEqLDcjFmZPgMpaICWLgQGDlSTMDVTN9+K4aPZYw9wAFl82bg0iXgww9bNKh0ebkYHkUrI+gzZqTM+5Lnhx9E28lrrwF9+7ZoVS8vYPx4oFs3YNo0LZWPMSNjvmcoOTkiIgwaJEaubiEvLzGfFz+KwtgD5hlQCguBMWMAZ2cgIQG4/9RsS/3tb0BqKpCbq+HyMWakzPOSZ8EC0QiSmiom52qlSZPEnF49e2qwbIwZMfMLKMeOiS7ivXsBd/c2bcrSUjS9ELViSg7GTJB5XfIouohHj9bYDSVlZUD//sC772pkc4wZNfMJKESiRyc/v8VdxI2xtgaeeUZs+soVjWySMaNlHgHlzBlg+HDRm7N8OaDhYQdXrRK35UdEaHSzjBkd0w8o6enA0KHA3bviFvvVqzW+C3t74P33gbg4fnCQmTfTb5Q9fBiwswPS0sRzOloydSpw8CBQVaW1XTBm8Ew/oHz7LTBqlFaDCSCaZP7zH63ugjGDZ9qXPGVlwOnT4pZWHfn9dyA0FLh8WWe7ZMxgmHZA+f570VWsw4Ail4uTosWLdbZLxgyGaQeUb78FOncG+vTR2S7t7EQDbXy8uIeOMXNi+gFl9GjAQrfVDAkRu124UJwgMWYuTDeglJQAZ8/q9HJHQSIR985dvw6cOqXz3TOmN6bby5OaKoZy1ENAAcS9cwUF4tnDr78WcyYrWFuLbmYbG70UjTGtMd2A8vXXYvSjFk4orkmKB5n37AH273+wvKICuHULePNN/ZSLMW0xzUuevDzg449F/62Gntlpi08/FT3Yild2NvD3v4s0Hj2fmRLTDCjh4YCTE7Bihb5LUi9vb3Gf3cGDgJ+fCDKMmQLTCyiHDolR2LZsMfhGCm9vIDMT+Mc/9F0SxjTDtAJKWRmwaJEYT6CRCbsMRa9eYp7kjRvFwPuMGTvTCiibNomulQ8+MIi2k+ZYvlwMbbtwoRj1jTFj1qqAEhkZCQ8PD8jlcvj5+SE1NVXT5Wq53FxgwwYxN7G3t75L02w2NuKelT//BCor9V0axtqmxQFl3759CA8Px4oVK5Ceno4RI0YgKCgIV/Q9XFl4ONCli8E2xDZmwgRx24xcLnqACgr0XSLGWqfFAWXz5s149dVXERYWht69e2Pr1q1wd3fHjh07tFG+plVWijOTgweNoiG2ITKZ+DlvHvDYY2IOMsaMTYtubKusrERaWhqWLl2qsjwwMBCnT5+ud52KigpUPPRAS3Fxsfjl449bPR+OUlkZsGOHGCd28WLg+efbtj0DsG+fqMbIkaJ9pU8f0b5MBERGquefPl0MP5mUBFy4oJr22GPA4MFiKIVDh1TTHBzEugAQHS1mFXnY5MmAiwtw8iTwyy+qaX37ivLdvKl6wx4gZgL461/F7//5D3D7tmr6uHGAh4cY7+rMGdU0T09g7Fjx1MSnn6rXde5cMbNAfLx4rOFho0eLu5OzsoATJ1TT3NyA554T08bWNzHbjBmAra14mLNu4/iQIaJrPzcXOHpUNa1DB+Dll8XvH3+sPrjWlCni2dTkZNGb97ABA4Bhw8QUUQcOqKZZWwOzZ4vfd+8GFIeMwoQJwCOPiCdLfvxRNa1XL9EnceeOuKGyrvnzxc8vvgD+9z/VtKefFq0F586JaXYf5uSkvq16UQtcu3aNANCpU6dUlq9bt4569epV7zqrVq0iAGqvIpmMyNKy7a/x44kyM1tSjSZVV1dTQkICJSQkUHV1tUa33Rzl5URhYURWVkRPPCGW1dbWX/2LF0X6jBnqaWvXirRjx9TTevd+sD9XV/X0M2dE2t//rp722msiLS1NPc3J6cF2+/VTTz90SKRt3Kie9tJLIu3KlfrrWlEh0p96Sj0tJkakRUerpz3zjEgrK6t/uwUFIn3qVPW0TZtEWkKCelr//g/q2rGjenp6ukhbuFA97Y03RNrp0+ppbm4Ptuvjo56emCjSVq9WT5s5U6T99lv9dVUYPlw9bc8ekRYZqZ42ZkyROG6Liur5i31AQtT8ezWvX78ONzc3nD59GgEBAcrl69atw+7du3H+/Hm1deo7Q3F3d0dRURHs7e2bu2udqqmpwZEjRwAA48aNg5Qn3GFmrri4GA4ODk0ety265HFycoJUKsWNGzdUlt+8eRPOzs71rmNlZQUrKyvle0X8Kq57HmdAampqUFpaCkCUkwMKM3eK47Wp848WBRRLS0v4+fkhKSkJkyZNUi5PSkpCcHBws7ZRUlICAHBv46x9jDHdKykpgYODQ4PpLX7aOCIiAqGhofD390dAQAA+/vhjXLlyBXPnzm3W+q6urigoKICdnR0kRnDzmeISraCgwGAv0TSB62laNF1PIkJJSQlcXV0bzdfigBISEoI//vgDa9asQWFhIfr27YsjR46ge/fuzVrfwsIC3bp1a+lu9c7e3t6k/wAVuJ6mRZP1bOzMRKFV46HMmzcP8+bNa82qjDETZlrP8jDG9IoDShOsrKywatUqlZ4qU8T1NC36qmeL7kNhjLHG8BkKY0xjOKAwxjSGAwpjTGM4oDDGNMbsAkpLR5vbvn07evfuDWtra3h7e+PTOs/Vjxo1ChKJRO01fvx4bVajSZquJwBs3boV3t7esLa2hru7OxYvXozyuuMe6Jim61lVVYU1a9bA09MTcrkc/fv3xzE9T1KdkpKCCRMmwNXVFRKJBF9++WWT6yQnJ8PPzw9yuRw9e/bERx99pJYnLi4Ovr6+sLKygq+vL+Lj49te2EafRTYxsbGxJJPJKCoqirKysmjRokVkY2NDly9frjd/ZGQk2dnZUWxsLF26dIn27t1Ltra2lJCQoMzzxx9/UGFhofKVmZlJUqmUdu3apaNaqdNGPT/77DOysrKiPXv2UF5eHn399dfUtWtXCg8P11W11GijnkuWLCFXV1c6fPgwXbp0iSIjI0kul9PPP/+sq2qpOXLkCK1YsYLi4uIIAMXHxzeaPzc3l9q3b0+LFi2irKwsioqKIplMRl988YUyz+nTp0kqldL69espOzub1q9fT+3ataMzinErWsmsAsrgwYNp7ty5Kst8fHxo6dKl9eYPCAig119/XWXZokWLaNiwYQ3uY8uWLWRnZ0d3795te4FbSRv1nD9/Pj355JMqeSIiImj48OEaKnXLaaOeXbt2pQ8//FAlT3BwME2bNk1DpW6b5gSUJUuWkI+Pj8qyOXPm0JAhQ5Tvp0yZQmPHjlXJM2bMGJo6dWqbymc2lzyK0eYCAwNVljc12pxcLldZZm1tjbNnz6Kq7vBc90VHR2Pq1Kmw0dNQlNqq5/Dhw5GWloazZ88CAHJzc3HkyBG9Xdppq54N5Tl58qQGS69d33//vdrnMmbMGPz000/KejaUp6HPrrnMJqDcunULNTU1auO2ODs7q43vojBmzBjs3LkTaWlpICL89NNPiImJQVVVFW7duqWW/+zZs8jMzERYWJhW6tAc2qrn1KlTsXbtWgwfPhwymQyenp4YPXq02nCguqKteo4ZMwabN2/Gb7/9htraWiQlJeGrr75CYWGh1uukKTdu3Kj3c6murlbWs6E8DX12zWU2AUWh7pAJRNTgMAorV65EUFAQhgwZAplMhuDgYMycORMA6h10KTo6Gn379sXgwYM1Xu6W0nQ9v/vuO6xbtw6RkZH4+eefceDAARw6dAhr167Vaj2aoul6btu2DV5eXvDx8YGlpSUWLFiAWbNmGd0gW/V9LnWXt+Szay6zCSitGW3O2toaMTExKC0tRX5+Pq5cuYIePXrAzs4OTnVG7S0tLUVsbKxez04A7dVz5cqVCA0NRVhYGP7yl79g0qRJWL9+PTZs2IBaPcxQpq16du7cGV9++SXu3buHy5cv4/z587C1tYWHh4fW66QpLi4u9X4u7dq1Q6dOnRrN09Bn11xmE1AeHm3uYUlJSRg6dGij68pkMnTr1g1SqRSxsbF49tlnYWGh+tF9/vnnqKiowHTFUPJ6oq16lpaWqtVZKpWCRMO+ZivRDNr+PuVyOdzc3FBdXY24uLhmj0hoCAICAtQ+l8TERPj7+0N2f76WhvI09dk1qU1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", @@ -3183,7 +3392,8 @@ " \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'{mod}_p{pitch}', do_lines=True)" + " 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)" ] }, { @@ -3200,7 +3410,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 115, "id": "3dc56847-7f42-4ca7-b001-f87333ff088a", "metadata": {}, "outputs": [ @@ -3241,7 +3451,7 @@ " )" ] }, - "execution_count": 95, + "execution_count": 115, "metadata": {}, "output_type": "execute_result" }, @@ -4298,7 +4508,9 @@ { "cell_type": "markdown", "id": "1702f98f-74e2-4e13-b2f3-9276e9112606", - "metadata": {}, + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, "source": [ "## Repeat looped patch experiment with multiple runs per sample\n", "\n", @@ -4486,7 +4698,9 @@ { "cell_type": "markdown", "id": "246995e1-8db7-465d-a323-0906eee91009", - "metadata": {}, + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, "source": [ "## Incorporate environmental runs into baseline\n", "\n", @@ -4606,6 +4820,14 @@ "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, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_repeat_tridalta_all_the_data_p0.3_minmax', do_lines=True, figsize=(5, 5), smooth=1e-9, batchlabels=batchlabels)" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0cdf0b39-47dd-4ab8-81f8-12a83d9b3ef2", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff 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0.312 max: 0.558 -Cross class: -2.66±0.435 min: -3.46 max: -1.73 +Within class: 0.982±0.00198 min: 0.977 max: 0.986 +Cross class: 0.699±0.0452 min: 0.634 max: 0.767 Type 1 error (false alarm rate): 0.001000000000 -Type 2 error (missed alarm rate): 0.000000000017 -EER: 0.0 th: 0.3114283518396177 \ No newline at end of file +Type 2 error (missed alarm rate): 0.000000000415 +EER: 0.0 th: 0.9701882899735962 \ No newline at end of file diff --git a/paper/fig_results_open_p0.4.txt b/paper/fig_results_open_p0.4.txt index 1edf1b3..2b07cef 100644 --- a/paper/fig_results_open_p0.4.txt +++ b/paper/fig_results_open_p0.4.txt @@ -1,12 +1,12 @@ -Results calculated from plots fig_covar_open_p0.4.pdf / fig_cdf_open_p0.4.pdf on 2025-07-10T11:36:28.043642 +Results calculated from plots fig_covar_open_p0.4.pdf / fig_cdf_open_p0.4.pdf on 2025-07-10T16:50:19.105908 setting threshold for quantile 0.001 -Baseline threshold set at -0.044841 +Baseline threshold set at 0.961962 Distribution parameters: -Within class: 0.263±0.0995 min: -0.0456 max: 0.438 -Cross class: -1.62±0.282 min: -2.38 max: -1.15 +Within class: 0.969±0.00239 min: 0.966 max: 0.974 +Cross class: 0.735±0.0434 min: 0.696 max: 0.859 Type 1 error (false alarm rate): 0.001000000000 -Type 2 error (missed alarm rate): 0.000000011687 -EER: 0.0 th: -0.05437290229507008 \ No newline at end of file +Type 2 error (missed alarm rate): 0.000000089605 +EER: 0.0 th: 0.9617505986759662 \ No newline at end of file diff --git a/paper/fig_results_patch_p0.3.txt b/paper/fig_results_patch_p0.3.txt index fa408dc..1778028 100644 --- a/paper/fig_results_patch_p0.3.txt +++ b/paper/fig_results_patch_p0.3.txt @@ -1,4 +1,4 @@ -Results calculated from plots fig_covar_patch_p0.3.pdf / fig_cdf_patch_p0.3.pdf on 2025-07-10T11:36:28.989347 +Results calculated from plots fig_covar_patch_p0.3.pdf / fig_cdf_patch_p0.3.pdf on 2025-07-10T16:48:44.217407 setting threshold for quantile 0.001 Baseline threshold set at 0.983033 diff --git a/paper/fig_results_patch_p0.3_minmax.txt b/paper/fig_results_patch_p0.3_minmax.txt index a1dc13a..b908fe2 100644 --- a/paper/fig_results_patch_p0.3_minmax.txt +++ b/paper/fig_results_patch_p0.3_minmax.txt @@ -1,4 +1,4 @@ -Results calculated from plots fig_covar_patch_p0.3_minmax.pdf / fig_cdf_patch_p0.3_minmax.pdf on 2025-07-10T11:36:29.129157 +Results calculated from plots fig_covar_patch_p0.3_minmax.pdf / fig_cdf_patch_p0.3_minmax.pdf on 2025-07-10T16:48:44.360756 setting threshold for quantile 0.001 Baseline threshold set at 0.313374 diff --git a/paper/fig_results_probe_points_p0.3.txt b/paper/fig_results_probe_points_p0.3.txt index a78f243..cd748ed 100644 --- a/paper/fig_results_probe_points_p0.3.txt +++ b/paper/fig_results_probe_points_p0.3.txt @@ -1,12 +1,12 @@ -Results calculated from plots fig_covar_probe_points_p0.3.pdf / fig_cdf_probe_points_p0.3.pdf on 2025-07-10T11:36:28.177616 +Results calculated from plots fig_covar_probe_points_p0.3.pdf / fig_cdf_probe_points_p0.3.pdf on 2025-07-10T16:50:19.460732 setting threshold for quantile 0.001 -Baseline threshold set at 0.222156 +Baseline threshold set at 0.976378 Distribution parameters: -Within class: 0.434±0.0686 min: 0.312 max: 0.558 -Cross class: 0.439±0.0676 min: 0.281 max: 0.563 +Within class: 0.982±0.00198 min: 0.977 max: 0.986 +Cross class: 0.982±0.00166 min: 0.978 max: 0.984 Type 1 error (false alarm rate): 0.001000000000 -Type 2 error (missed alarm rate): 0.999333182506 -EER: 0.5393939393939394 th: 0.4468653841422197 \ No newline at end of file +Type 2 error (missed alarm rate): 0.999354499878 +EER: 0.4133333333333334 th: 0.9822763983433783 \ No newline at end of file diff --git a/paper/fig_results_probe_points_p0.4.txt b/paper/fig_results_probe_points_p0.4.txt index 077c941..9f0d073 100644 --- a/paper/fig_results_probe_points_p0.4.txt +++ b/paper/fig_results_probe_points_p0.4.txt @@ -1,12 +1,12 @@ -Results calculated from plots fig_covar_probe_points_p0.4.pdf / fig_cdf_probe_points_p0.4.pdf on 2025-07-10T11:36:28.309466 +Results calculated from plots fig_covar_probe_points_p0.4.pdf / fig_cdf_probe_points_p0.4.pdf on 2025-07-10T16:50:19.836853 setting threshold for quantile 0.001 -Baseline threshold set at -0.044841 +Baseline threshold set at 0.961962 Distribution parameters: -Within class: 0.263±0.0995 min: -0.0456 max: 0.438 -Cross class: 0.254±0.0908 min: 0.0437 max: 0.397 +Within class: 0.969±0.00239 min: 0.966 max: 0.974 +Cross class: 0.971±0.00242 min: 0.966 max: 0.975 Type 1 error (false alarm rate): 0.001000000000 -Type 2 error (missed alarm rate): 0.999511411088 -EER: 0.4923076923076923 th: 0.2817379300134156 \ No newline at end of file +Type 2 error (missed alarm rate): 0.999848317762 +EER: 0.6333333333333333 th: 0.9697796637264954 \ No newline at end of file diff --git a/paper/fig_results_short_across_traces_p0.3.txt b/paper/fig_results_short_across_traces_p0.3.txt index 086e9f5..dc08cee 100644 --- a/paper/fig_results_short_across_traces_p0.3.txt +++ b/paper/fig_results_short_across_traces_p0.3.txt @@ -1,12 +1,12 @@ -Results calculated from plots fig_covar_short_across_traces_p0.3.pdf / fig_cdf_short_across_traces_p0.3.pdf on 2025-07-10T11:36:27.634643 +Results calculated from plots fig_covar_short_across_traces_p0.3.pdf / fig_cdf_short_across_traces_p0.3.pdf on 2025-07-10T16:50:17.440748 setting threshold for quantile 0.001 -Baseline threshold set at 0.222156 +Baseline threshold set at 0.976378 Distribution parameters: -Within class: 0.434±0.0686 min: 0.312 max: 0.558 -Cross class: -4±0.303 min: -4.75 max: -3.5 +Within class: 0.982±0.00198 min: 0.977 max: 0.986 +Cross class: 0.565±0.0481 min: 0.477 max: 0.666 Type 1 error (false alarm rate): 0.001000000000 Type 2 error (missed alarm rate): 0.000000000000 -EER: 0.0 th: 0.2915482296934595 \ No newline at end of file +EER: 0.0 th: 0.9724856278409246 \ No newline at end of file diff --git a/paper/fig_results_short_across_traces_p0.4.txt b/paper/fig_results_short_across_traces_p0.4.txt index a9cdb38..1b8eaf4 100644 --- a/paper/fig_results_short_across_traces_p0.4.txt +++ b/paper/fig_results_short_across_traces_p0.4.txt @@ -1,12 +1,12 @@ -Results calculated from plots fig_covar_short_across_traces_p0.4.pdf / fig_cdf_short_across_traces_p0.4.pdf on 2025-07-10T11:36:27.774678 +Results calculated from plots fig_covar_short_across_traces_p0.4.pdf / fig_cdf_short_across_traces_p0.4.pdf on 2025-07-10T16:50:17.721095 setting threshold for quantile 0.001 -Baseline threshold set at -0.044841 +Baseline threshold set at 0.961962 Distribution parameters: -Within class: 0.263±0.0995 min: -0.0456 max: 0.438 -Cross class: -2.6±0.907 min: -4.33 max: -1.5 +Within class: 0.969±0.00239 min: 0.966 max: 0.974 +Cross class: 0.585±0.0657 min: 0.501 max: 0.761 Type 1 error (false alarm rate): 0.001000000000 -Type 2 error (missed alarm rate): 0.002394140016 -EER: 0.0 th: -0.08129093490444816 \ No newline at end of file +Type 2 error (missed alarm rate): 0.000000004592 +EER: 0.0 th: 0.9656144972371224 \ No newline at end of file diff --git a/paper/fig_results_short_within_0.3_min_max.txt b/paper/fig_results_short_within_0.3_min_max.txt index b713040..42e7bd2 100644 --- a/paper/fig_results_short_within_0.3_min_max.txt +++ b/paper/fig_results_short_within_0.3_min_max.txt @@ -1,12 +1,12 @@ -Results calculated from plots fig_covar_short_within_0.3_min_max.pdf / fig_cdf_short_within_0.3_min_max.pdf on 2025-07-10T13:55:11.516583 +Results calculated from plots fig_covar_short_within_0.3_min_max.pdf / fig_cdf_short_within_0.3_min_max.pdf on 2025-07-10T17:11:57.629626 setting threshold for quantile 0.001 -Baseline threshold set at 0.716948 +Baseline threshold set at 0.447921 Distribution parameters: -Within class: 0.874±0.0508 min: 0.744 max: 0.958 -Cross class: 0.371±0.516 min: -0.784 max: 0.917 +Within class: 0.734±0.0925 min: 0.486 max: 0.847 +Cross class: -0.0231±0.645 min: -1.28 max: 0.785 Type 1 error (false alarm rate): 0.001000000000 -Type 2 error (missed alarm rate): 0.251343787841 -EER: 0.22647058823529412 th: 0.8286649223477585 \ No newline at end of file +Type 2 error (missed alarm rate): 0.232487050396 +EER: 0.23157894736842105 th: 0.6595285800360724 \ No newline at end of file diff --git a/paper/fig_results_touch_combined.txt b/paper/fig_results_touch_combined.txt index 0c85fc0..d300685 100644 --- a/paper/fig_results_touch_combined.txt +++ b/paper/fig_results_touch_combined.txt @@ -1,4 +1,4 @@ -Results calculated from plots fig_covar_touch_combined.pdf / fig_cdf_touch_combined.pdf on 2025-07-10T11:36:26.705116 +Results calculated from plots fig_covar_touch_combined.pdf / fig_cdf_touch_combined.pdf on 2025-07-10T17:05:18.731896 setting threshold for quantile 0.001 Baseline threshold set at 0.978979 diff --git a/paper/paper.tex b/paper/paper.tex index f7bac87..abce66d 100644 --- a/paper/paper.tex +++ b/paper/paper.tex @@ -15,7 +15,8 @@ \usepackage{wasysym} \usepackage[binary-units]{siunitx} \usepackage{commath} -\usepackage{graphicx,color} +\usepackage{graphicx} +\usepackage{color} \usepackage{colortbl} \usepackage{subcaption} \usepackage{placeins} @@ -23,7 +24,12 @@ \usepackage{censor} \usepackage{hyperref} \usepackage{makecell} +\usepackage{tcolorbox} +\tcbuselibrary{skins} +\tcbuselibrary{breakable} +\usepackage{float} +\definecolor{highlightgreen}{rgb}{0.18 0.4 0.13} \DeclareSIUnit{\baud}{Bd} \DeclareSIUnit{\year}{a} \DeclareSIUnit{\rpm}{rpm} @@ -1103,13 +1109,100 @@ thinking about attacker capabilities. Applying their taxonomy, our monitoring sy a patching attack from a \emph{skilled} attacker to an \emph{expert} attacker, and the equipment requirement from \emph{standard} equipment to \emph{bespoke} equipment such as dielectric drill bits and ceramic soldering tips. +% https://tex.stackexchange.com/questions/336201/vertical-highlight-of-a-paragraph +\begin{tcolorbox}[breakable, + enhanced, + colback=yellow!10!white, + boxrule=0pt,frame hidden, + borderline west={1mm}{-2mm}{highlightgreen}] + +\begin{figure}[H] + \begin{subfigure}{0.5\textwidth} + \includegraphics[width=\textwidth]{fig_covar_patch_repeat_tridelta_all_the_data_p0.3.pdf} + \label{fig_covar_patch_repeat_tridalta_all_the_data_covar} + \caption{Covariance Metric, Missed alarm rate 35.5\% at 0.1\% false alarm rate, CER=14.6\%.} + \end{subfigure} + \hspace*{2mm} + \begin{subfigure}{0.5\textwidth} + \includegraphics[width=\textwidth]{fig_covar_patch_repeat_tridalta_all_the_data_p0.3_minmax.pdf} + \label{fig_covar_patch_repeat_tridalta_all_the_data_minmax} + \caption{Min/Max Metric, Missed alarm rate 91\% at 0.1\% false alarm rate, CER=22.6\%.} + \end{subfigure} + \caption{Covariance matrices comparing all environmental runs as well as experiment baselines and seven runs of + meshes that have a broken trace patched by a soldered wire.} +\end{figure} + +\begin{figure}[H] + \begin{subfigure}[t]{0.23\textwidth} + \includegraphics[width=\textwidth]{fig_covar_probe_0.3.pdf} + \label{} + \caption{Oscilloscope probe} + \end{subfigure} + \hfill + \begin{subfigure}[t]{0.23\textwidth} + \includegraphics[width=\textwidth]{fig_covar_soldering_p0.3.pdf} + \label{} + \caption{Soldering iron} + \end{subfigure} + \hfill + \begin{subfigure}[t]{0.23\textwidth} + \includegraphics[width=\textwidth]{fig_covar_antenna_wire_30mm_p0.3.pdf} + \label{} + \caption{30mm wire soldered} + \end{subfigure} + \hfill + \begin{subfigure}[t]{0.23\textwidth} + \includegraphics[width=\textwidth]{fig_covar_probe_points_p0.3.pdf} + \label{} + \caption{Baseline vs. for previous plots specimens with soldermask removed} + \end{subfigure} + \caption{} + %too much: fig_covar_soldering_p0.3_minmax.pdf + %too much: fig_covar_antenna_wire_30mm_p0.3_minmax.pdf +\end{figure} + +\begin{figure}[H] + \begin{subfigure}[t]{0.25\textwidth} + \includegraphics[width=\textwidth]{fig_covar_time_drift.pdf} + \label{} + \caption{Time drift (2.5h)} + \end{subfigure} + \hfill + \begin{subfigure}[t]{0.4\textwidth} + \includegraphics[width=\textwidth]{fig_covar_touch_combined.pdf} + \label{} + \caption{Touch sensitivity} + \end{subfigure} + \hfill + \begin{subfigure}[t]{0.25\textwidth} + \includegraphics[width=\textwidth]{fig_covar_hot_mesh.pdf} + \label{} + \caption{Mesh heated (\qty{70}{\degree C})} + \end{subfigure} + \caption{} +\end{figure} + +% fig_covar_short_within_0.3.pdf % FIXME repeat these runs, we have conflicting data. Do runs in both .3 and .4, .4 +% seems to work better. + +%fig_covar_open_p0.3.pdf +%fig_covar_open_p0.4.pdf +%fig_covar_short_across_traces_p0.3.pdf +%fig_covar_short_across_traces_p0.4.pdf + +%fig_covar_distinguish_layouts.pdf +%fig_covar_distinguish_copies.pdf % FIXME repeat these runs, the results look a bit too good! + + % FIXME -\begin{figure} +\begin{figure}[H] \centering \includegraphics[width=1.0\textwidth]{fig_tempco_edited.pdf} \caption{} \label{fig_pic_board} \end{figure} +\end{tcolorbox} + \section{Future Work} \paragraph{Design variants.} The \partno{STM32G4}'s \partno{HRTIM} peripheral is limited by to the comparatively slow