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@xjing76
Created March 9, 2022 14:25
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pymc3 as pm\n",
"import theano.tensor as at\n",
"import arviz as az\n",
"from pymc3_hmm.step_methods import HSStep\n",
"from pymc3_hmm.distributions import HorseShoe\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# toy data set up\n",
"np.random.seed(2032)\n",
"M = 5\n",
"N = 500\n",
"X = np.random.normal(size=N * M).reshape((N, M))\n",
"# Design matrix with intercept in first col\n",
"X[:, 0] = 1\n",
"beta_true = np.array([3, 1, 0, 1, 0])\n",
"true_alpha = 20\n",
"y_nb = pm.NegativeBinomial.dist(np.exp(X.dot(beta_true)), true_alpha).random()\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([462., 24., 5., 2., 2., 3., 0., 0., 1., 0., 0.,\n",
" 0., 0., 0., 0., 0., 0., 0., 0., 1.]),\n",
" array([ 0. , 156.2, 312.4, 468.6, 624.8, 781. , 937.2, 1093.4,\n",
" 1249.6, 1405.8, 1562. , 1718.2, 1874.4, 2030.6, 2186.8, 2343. ,\n",
" 2499.2, 2655.4, 2811.6, 2967.8, 3124. ]),\n",
" <BarContainer object of 20 artists>)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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AJHVonA/LSJLmYLhLUocMd0nqkOEuSR0y3CWpQ4a7JHXIcJekDv0fHHCKCzREIF0AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(y_nb, bins = 20)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Model 1 : Given true alpha\n",
"\n",
"When given true alpha beta samples are converaged very well. It it very close to `true beta`."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/jingx/Documents/pymc3-hmm/pymc3_hmm/distributions.py:481: UserWarning: logp of HorseShoe class is not implemented.Do not use this distribution without the `HSStep` sampler!\n",
" warnings.warn(\n",
"/Users/jingx/Documents/pymc3-hmm/pymc3_hmm/distributions.py:481: UserWarning: logp of HorseShoe class is not implemented.Do not use this distribution without the `HSStep` sampler!\n",
" warnings.warn(\n",
"Sequential sampling (1 chains in 1 job)\n",
"HSStep: [beta]\n"
]
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" </style>\n",
" <progress value='2000' class='' max='2000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [2000/2000 00:43<00:00 Sampling chain 0, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 1 chain for 1_000 tune and 1_000 draw iterations (1_000 + 1_000 draws total) took 43 seconds.\n"
]
},
{
"data": {
"text/plain": [
"array([[<AxesSubplot:title={'center':'beta\\n0'}>,\n",
" <AxesSubplot:title={'center':'beta\\n0'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n1'}>,\n",
" <AxesSubplot:title={'center':'beta\\n1'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n2'}>,\n",
" <AxesSubplot:title={'center':'beta\\n2'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n3'}>,\n",
" <AxesSubplot:title={'center':'beta\\n3'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n4'}>,\n",
" <AxesSubplot:title={'center':'beta\\n4'}>]], dtype=object)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x720 with 10 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N_draws = 1000\n",
"with pm.Model():\n",
" beta = HorseShoe(\"beta\", tau=1, shape=M)\n",
" pm.NegativeBinomial(\"y\", mu=at.exp(beta.dot(X.T)), alpha=true_alpha, observed=y_nb)\n",
" step = [HSStep([beta])]\n",
" trace1 = pm.sample(\n",
" draws=N_draws,\n",
" step=step,\n",
" chains=1,\n",
" return_inferencedata=True,\n",
" compute_convergence_checks=False,\n",
" )\n",
"\n",
"beta_samples = trace1.posterior[\"beta\"][0].values \n",
"np.testing.assert_allclose(beta_samples.mean(0), beta_true, atol=0.1)\n",
"\n",
"az.plot_trace(\n",
" trace1,\n",
" compact=False,\n",
" lines=[\n",
" (\"beta\", {\"beta_dim_0\": dim}, [true_val])\n",
" for dim, true_val in enumerate(beta_true)\n",
" ],\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Model 2 : Normal Alpha with given testval == True_alpha\n",
"\n",
"When we convert the alpha to a random variable and sample with NUTS, the converagence of beta stays the same. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/jingx/Documents/pymc3-hmm/pymc3_hmm/distributions.py:481: UserWarning: logp of HorseShoe class is not implemented.Do not use this distribution without the `HSStep` sampler!\n",
" warnings.warn(\n",
"Sequential sampling (1 chains in 1 job)\n",
"CompoundStep\n",
">HSStep: [beta]\n",
">NUTS: [alpha]\n"
]
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" </style>\n",
" <progress value='2000' class='' max='2000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [2000/2000 00:47<00:00 Sampling chain 0, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 1 chain for 1_000 tune and 1_000 draw iterations (1_000 + 1_000 draws total) took 47 seconds.\n"
]
},
{
"data": {
"text/plain": [
"0.005268622004370904"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"with pm.Model():\n",
" beta = HorseShoe(\"beta\", tau=1, shape=M)\n",
" alpha = pm.Gamma(\"alpha\", alpha=true_alpha, beta=1, testval =true_alpha)\n",
" pm.NegativeBinomial(\"y\", mu=at.exp(beta.dot(X.T)), alpha=alpha, observed=y_nb)\n",
" step = [HSStep([beta]), pm.NUTS(alpha)]\n",
" trace2 = pm.sample(\n",
" draws=N_draws,\n",
" step=step,\n",
" chains=1,\n",
" return_inferencedata=True,\n",
" compute_convergence_checks=False,\n",
" )\n",
"# \n",
"beta_samples = trace2.posterior[\"beta\"][0].values \n",
"np.testing.assert_allclose(beta_samples.mean(0), beta_true, atol=0.1)\n",
"\n",
"np.abs(trace2.posterior.alpha.values[0].mean(0) - true_alpha) / true_alpha\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[<AxesSubplot:title={'center':'beta\\n0'}>,\n",
" <AxesSubplot:title={'center':'beta\\n0'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n1'}>,\n",
" <AxesSubplot:title={'center':'beta\\n1'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n2'}>,\n",
" <AxesSubplot:title={'center':'beta\\n2'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n3'}>,\n",
" <AxesSubplot:title={'center':'beta\\n3'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n4'}>,\n",
" <AxesSubplot:title={'center':'beta\\n4'}>],\n",
" [<AxesSubplot:title={'center':'alpha'}>,\n",
" <AxesSubplot:title={'center':'alpha'}>]], dtype=object)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x864 with 12 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_trace(\n",
" trace2,\n",
" compact=False,\n",
" lines=[\n",
" (\"beta\", {\"beta_dim_0\": dim}, [true_val])\n",
" for dim, true_val in enumerate(beta_true)],\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Model 3 : Same set up without testval and alpha set to half of true alpha\n",
"\n",
"Slightly worse off than when prior is centered at the true alpha. off by 10%"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/jingx/Documents/pymc3-hmm/pymc3_hmm/distributions.py:481: UserWarning: logp of HorseShoe class is not implemented.Do not use this distribution without the `HSStep` sampler!\n",
" warnings.warn(\n",
"Sequential sampling (1 chains in 1 job)\n",
"CompoundStep\n",
">HSStep: [beta]\n",
">NUTS: [alpha]\n"
]
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" </style>\n",
" <progress value='2000' class='' max='2000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [2000/2000 00:45<00:00 Sampling chain 0, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 1 chain for 1_000 tune and 1_000 draw iterations (1_000 + 1_000 draws total) took 46 seconds.\n",
"The acceptance probability does not match the target. It is 0.883749860367452, but should be close to 0.8. Try to increase the number of tuning steps.\n"
]
},
{
"data": {
"text/plain": [
"0.09858111403029354"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"with pm.Model():\n",
" beta = HorseShoe(\"beta\", tau=1, shape=M)\n",
" alpha = pm.Gamma(\"alpha\", alpha=true_alpha/2, beta=1)\n",
" pm.NegativeBinomial(\"y\", mu=at.exp(beta.dot(X.T)), alpha=alpha, observed=y_nb)\n",
" step = [HSStep([beta]), pm.NUTS(alpha)]\n",
" trace3 = pm.sample(\n",
" draws=N_draws,\n",
" step=step,\n",
" chains=1,\n",
" return_inferencedata=True,\n",
" compute_convergence_checks=False,\n",
" )\n",
"# \n",
"beta_samples = trace3.posterior[\"beta\"][0].values \n",
"np.testing.assert_allclose(beta_samples.mean(0), beta_true, atol=0.1)\n",
"\n",
"np.abs(trace3.posterior.alpha.values[0].mean(0) - true_alpha) / true_alpha\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[<AxesSubplot:title={'center':'beta\\n0'}>,\n",
" <AxesSubplot:title={'center':'beta\\n0'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n1'}>,\n",
" <AxesSubplot:title={'center':'beta\\n1'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n2'}>,\n",
" <AxesSubplot:title={'center':'beta\\n2'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n3'}>,\n",
" <AxesSubplot:title={'center':'beta\\n3'}>],\n",
" [<AxesSubplot:title={'center':'beta\\n4'}>,\n",
" <AxesSubplot:title={'center':'beta\\n4'}>],\n",
" [<AxesSubplot:title={'center':'alpha'}>,\n",
" <AxesSubplot:title={'center':'alpha'}>]], dtype=object)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x864 with 12 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_trace(\n",
" trace3,\n",
" compact=False,\n",
" lines=[\n",
" (\"beta\", {\"beta_dim_0\": dim}, [true_val])\n",
" for dim, true_val in enumerate(beta_true)\n",
" ],\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Model 4: When true beta is used\n",
"\n",
"results very similiar to that of model3. Beta convergene seems quite independent of alpha."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sequential sampling (1 chains in 1 job)\n",
"NUTS: [alpha]\n"
]
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" </style>\n",
" <progress value='2000' class='' max='2000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [2000/2000 00:02<00:00 Sampling chain 0, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 1 chain for 1_000 tune and 1_000 draw iterations (1_000 + 1_000 draws total) took 2 seconds.\n"
]
},
{
"data": {
"text/plain": [
"0.09873675152360609"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"with pm.Model():\n",
" alpha = pm.Gamma(\"alpha\", alpha=true_alpha/2, beta=1)\n",
" pm.NegativeBinomial(\"y\", mu=at.exp(beta_true.dot(X.T)), alpha=alpha, observed=y_nb)\n",
" step = [pm.NUTS(alpha)]\n",
" trace4 = pm.sample(\n",
" draws=N_draws,\n",
" step=step,\n",
" chains=1,\n",
" return_inferencedata=True,\n",
" compute_convergence_checks=False,\n",
" )\n",
"\n",
"np.abs(trace4.posterior.alpha.values[0].mean(0) - true_alpha) / true_alpha\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[<AxesSubplot:title={'center':'alpha'}>,\n",
" <AxesSubplot:title={'center':'alpha'}>]], dtype=object)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x144 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_trace(trace4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Model 5: When true beta is used, but alpha prior is very off\n",
"\n",
"Making the alpha prior even more off from true alpha, However the results are quite similar. still off by 10%"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sequential sampling (1 chains in 1 job)\n",
"NUTS: [alpha]\n"
]
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" </style>\n",
" <progress value='2000' class='' max='2000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [2000/2000 00:02<00:00 Sampling chain 0, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 1 chain for 1_000 tune and 1_000 draw iterations (1_000 + 1_000 draws total) took 2 seconds.\n"
]
},
{
"data": {
"text/plain": [
"0.09714130136125494"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"with pm.Model():\n",
" alpha = pm.Gamma(\"alpha\", alpha=1, beta=0.5)\n",
" pm.NegativeBinomial(\"y\", mu=at.exp(beta_true.dot(X.T)), alpha=alpha, observed=y_nb)\n",
" step = [pm.NUTS(alpha)]\n",
" trace5 = pm.sample(\n",
" draws=N_draws,\n",
" step=step,\n",
" chains=1,\n",
" return_inferencedata=True,\n",
" compute_convergence_checks=False,\n",
" )\n",
"\n",
"np.abs(trace5.posterior.alpha.values[0].mean(0) - true_alpha) / true_alpha\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[<AxesSubplot:title={'center':'alpha'}>,\n",
" <AxesSubplot:title={'center':'alpha'}>]], dtype=object)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x144 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_trace(trace5)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "pmd2",
"language": "python",
"name": "pmd2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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