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@hmeine
Created July 5, 2022 16:41
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comparison of entropy-based uncertainty measure and expected error of perfectly calibrated model
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "limited-block",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "90082a99",
"metadata": {},
"outputs": [],
"source": [
"plt.rcParams.update({\n",
" \"text.usetex\": True,\n",
" \"font.family\": \"serif\",\n",
" \"font.serif\": [\"Palatino\"],\n",
"})"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "01aa0a83",
"metadata": {},
"outputs": [],
"source": [
"p1 = numpy.linspace(0, 1, 1000, endpoint = True)\n",
"p2 = 1 - p1\n",
"probs2 = numpy.vstack((p1, p2))\n",
"\n",
"entropy = -(numpy.log(probs2.clip(1e-8, None))*probs2).sum(0)\n",
"nentropy = entropy / numpy.log(2)\n",
"expected_error2 = 1.0-numpy.max(probs2, axis = 0)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "e76bcbba",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize = (6, 6))\n",
"\n",
"ax.plot(p1, nentropy, label = 'entropy-based uncertainty [Laves et. al]')\n",
"ax.plot(p1, entropy, label = 'label entropy')\n",
"\n",
"ax.plot(p1, expected_error2, label = 'expected error of calibrated model')\n",
"ax.set_xlabel('foreground probability of binary classifier')\n",
"ax.legend(loc = 'best')\n",
"ax.set_aspect(1.0)\n",
"ax.set_xlim(0, 1)\n",
"ax.set_ylim(0, 1)\n",
"plt.tight_layout()\n",
"plt.savefig('uncertainty_vs_error_2.png')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "bca11924",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize = (6, 6))\n",
"\n",
"ax.plot(nentropy, expected_error2)\n",
"\n",
"ax.set_xlabel('entropy-based uncertainty [Laves et. al]')\n",
"ax.set_ylabel('expected error of calibrated model')\n",
"plt.savefig('error_over_uncertainty.png')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "49d74895",
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for labelcount in (2, 3, 4, 10, 100):\n",
" p1 = numpy.linspace(0, 1, 1000)\n",
" p1c = 1 - p1\n",
" pequal = p1c/(labelcount - 1)\n",
" probs_max = numpy.vstack((p1, ) + (pequal, )*(labelcount-1))\n",
" probs_min = numpy.vstack((p1, p1c) + (numpy.zeros_like(p1), ) * (labelcount-2))\n",
"\n",
" entropy_max = -(numpy.log(probs_max.clip(1e-8, None))*probs_max).sum(0)\n",
" nentropy_max = entropy_max / numpy.log(3)\n",
"\n",
" entropy_min = -(numpy.log(probs_min.clip(1e-8, None))*probs_min).sum(0)\n",
" nentropy_min = entropy_min / numpy.log(3)\n",
"\n",
" expected_error_min = 1.0-numpy.max(probs_min, axis = 0)\n",
" expected_error_max = 1.0-numpy.max(probs_max, axis = 0)\n",
" \n",
" f, ax = plt.subplots(figsize = (6, 6))\n",
"\n",
" ax.fill_between(p1, nentropy_min, nentropy_max,\n",
" label = 'range of entropy-based uncertainty [Laves et. al]', alpha = 0.25)\n",
" ax.plot(p1, nentropy_min, c = 'C0')\n",
" ax.plot(p1, nentropy_max, c = 'C0')\n",
"\n",
" ax.fill_between(p1, expected_error_min, expected_error_max, fc = 'C2',\n",
" label = 'range of expected error of calibrated mode', alpha = 0.25)\n",
" ax.plot(p1, expected_error_min, c = 'C2')\n",
" ax.plot(p1, expected_error_max, c = 'C2')\n",
"\n",
" ax.set_xlabel('classifier confidence in a selected label')\n",
" ax.legend(loc = 'best')\n",
" ax.set_aspect(1.0)\n",
" ax.set_xlim(0, 1)\n",
" ax.set_ylim(0, 1)\n",
" plt.tight_layout()\n",
" plt.savefig(f'uncertainty_vs_error_{labelcount}.png')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "1c5d8ecc",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/Users/hmeine/Developer/Projects/ActiveLearning/pytorch_calibration\n"
]
}
],
"source": [
"%cd /Users/hmeine/Developer/Projects/ActiveLearning/pytorch_calibration"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "37acb1bb",
"metadata": {},
"outputs": [],
"source": [
"import experiments\n",
"from dnn.classification.confidence_histograms import ConfidenceHistograms\n",
"ConfidenceHistograms.STATISTICS_UNIT = r'\\,{\\footnotesize\\%}' # for LaTeX mode\n",
"ConfidenceHistograms.REVISED_UCE = False\n",
"\n",
"exp = experiments.EXPERIMENTS_BY_NAME['liver_cce']\n",
"group = 'test'\n",
"calibration = 'none'\n",
"ch = ConfidenceHistograms.from_file(f'histograms/{exp.name}/{group}/{calibration}.npz')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "b957414e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([208, 14, 222, 172, 187, 105, 139, 185, 3, 31, 65, 99, 137,\n",
" 69, 13, 170, 150, 71, 198, 2, 15, 48, 63, 52, 0, 136,\n",
" 135, 5, 197, 45, 106, 126, 10, 42, 30, 141, 94, 177, 103,\n",
" 159, 12, 76, 72, 116, 121, 86, 171, 146, 29, 214, 193, 174,\n",
" 119, 152, 64, 70, 68, 33, 164, 120, 181, 11, 7, 102, 216,\n",
" 175, 211, 200, 224, 178, 74, 145, 160, 58, 96, 143, 67, 87,\n",
" 95, 196, 59, 154, 183, 144, 109, 114, 6, 8, 129, 221, 115,\n",
" 130, 124, 225, 147, 203, 123, 202, 81, 210, 173, 191, 34, 167,\n",
" 179, 19, 78, 22, 189, 138, 112, 212, 36, 161, 9, 149, 4,\n",
" 134, 157, 220, 85, 83, 125, 97, 40, 153, 93, 82, 84, 207,\n",
" 18, 204, 151, 20, 50, 180, 186, 230, 188, 215, 24, 90, 162,\n",
" 73, 192, 117, 184, 226, 92, 148, 79, 41, 44, 131, 166, 108,\n",
" 127, 118, 88, 23, 165, 206, 110, 28, 1, 213, 35, 49, 176,\n",
" 201, 77, 205, 66, 91, 194, 46, 168, 122, 142, 140, 223, 56,\n",
" 98, 101, 163, 199, 62, 158, 104, 60, 209, 100, 17, 132, 233,\n",
" 231, 32, 219, 128, 218, 53, 229, 55, 39, 169, 232, 21, 26,\n",
" 155, 61, 25, 27, 38, 227, 37, 16, 51, 54, 182, 228, 156,\n",
" 80, 43, 113, 75, 111, 47, 89, 57, 190, 107, 133, 217, 195])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"numpy.argsort([ch.case(case).maximum_calibration_error() for case in range(ch.case_count())])"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "ba73b674",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize = (6, 6))\n",
"ch.plot_reliability_diagram(ax, bins = 32, label = 'all')#, summary_statistics= ['NLL', 'ECE', 'MCE'])\n",
"#ax.plot(nentropy[:500], expected_error[:500])\n",
"f.savefig('liver_cce_proposed_all_cases.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "54ef0e62",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize = (6, 6))\n",
"ch.plot_reliability_diagram(ax, bins = 32, label = 'uncertainty')\n",
"if 1:\n",
" ax.lines[-1].remove()\n",
" ax.plot(nentropy[:500], expected_error2[:500], c = 'k', ls = ':')\n",
"f.savefig('liver_cce_uncertainty_all_cases.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "031691b7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize = (6, 6))\n",
"ch.case(208).plot_reliability_diagram(ax, bins = 32, label = 'all')\n",
"f.savefig('liver_cce_proposed_best_case.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "ecfc815e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize = (6, 6))\n",
"ch.case(208).plot_reliability_diagram(ax, bins = 32, label = 'uncertainty')\n",
"ax.lines[-1].remove()\n",
"ax.plot(nentropy[:500], expected_error2[:500], c = 'k', ls = ':')\n",
"f.savefig('liver_cce_uncertainty_best_case.pdf')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.13"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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