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@ljmartin
Created January 29, 2020 01:54
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{
"cells": [
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"import pymc3 as pm\n",
"from pymc3.distributions import Interpolated\n",
"import theano\n",
"import numpy as np\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"\n",
"#see: https://docs.pymc.io/notebooks/updating_priors.html"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Generate some data:\n",
"This is for a hierarchical model to measure the proportion of some event. It generates about 1 to 10 samples of binary 0 or 1 measurements, where 1's (the event) occur 20% of the time. \n",
"\n",
"There will be some variability. So the goal is to measure the proportion of 1's while modeling each instance individually and sharing overall mean probability --> i.e. a hierarchical model\n",
"\n",
"We thus expect the probability to be ~20%, and/or the odds to be ~1/4. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The data:"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [],
"source": [
"#generate data:\n",
"#Creating a synthetic dataset:\n",
"data = list()\n",
"\n",
"#probability of 0 or 1:\n",
"probs = [0.8, 0.2]\n",
"#take measurements for 500 instances:\n",
"def gen_data(N):\n",
" for j in range(N):\n",
" \n",
" observations = list()\n",
" #all instances must have at least one measurement:\n",
" observations.append(np.random.choice([0,1], p=probs))\n",
" #now take several more measurements for this instance:\n",
" while np.random.uniform(0,1)>0.2:\n",
" observations.append(np.random.choice([0,1], p=probs))\n",
" data.append(observations)\n",
" \n",
" #parse for input to pymc3:\n",
" num_measurements = [len(i) for i in data]\n",
" num_events = [sum(i) for i in data]\n",
" return np.array(num_measurements), np.array(num_events)\n",
"\n",
" \n",
"N=500\n",
"num_measurements, num_events = gen_data(N)\n",
"\n",
"\n",
"#num_measurements = theano.shared(num_measurements, name='num_measurements')\n",
"#num_events = theano.shared(num_events, name='num_events')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The model:\n",
"The group parameter (`phi`) is measuring the log probability of the event. This can be transformed into a probability by a logit (`logit`) and then to odds (`odds`). The instance parameters are beta distributions, with parameters 'a' and 'b' determined by the `odds`, i.e. odds of 1:`odds`. \n",
"\n",
"Likelihood is measured by a binomial, where you use the probability determined by the priors above along with the number of measurements and the sum of measurements for each instance as the observations. "
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [thetas, phi]\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 00:07<00:00 Sampling 2 chains, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"traces = []\n",
"#pymc3 gear:\n",
"with pm.Model() as model:\n",
" #group parameter:\n",
" phi = pm.Normal('phi', mu=0, sigma=1.0)\n",
" #probability:\n",
" logit = pm.Deterministic('logit', 1 / (1 + theano.tensor.exp(phi)))\n",
" odds = pm.Deterministic('odds', (1-logit)/logit)\n",
" #instance parameters:\n",
" thetas = pm.Beta('thetas', alpha=1, beta=odds, shape=N)\n",
" #likelihood:\n",
" y = pm.Binomial('y', n=num_measurements, p=thetas, observed=num_events)\n",
" \n",
" trace = pm.sample(tune=500, draws=500)\n",
" traces.append(trace)"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/lmar3213/miniconda3/envs/ppl/lib/python3.8/site-packages/arviz/plots/backends/matplotlib/distplot.py:36: UserWarning: Argument backend_kwargs has not effect in matplotlib.plot_distSupplied value won't be used\n",
" warnings.warn(\n",
"/Users/lmar3213/miniconda3/envs/ppl/lib/python3.8/site-packages/arviz/plots/backends/matplotlib/distplot.py:36: UserWarning: Argument backend_kwargs has not effect in matplotlib.plot_distSupplied value won't be used\n",
" warnings.warn(\n",
"/Users/lmar3213/miniconda3/envs/ppl/lib/python3.8/site-packages/arviz/plots/backends/matplotlib/distplot.py:36: UserWarning: Argument backend_kwargs has not effect in matplotlib.plot_distSupplied value won't be used\n",
" warnings.warn(\n"
]
},
{
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x1335d98b0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x128b7d640>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x137d66040>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x13365d400>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x12a074eb0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x132852580>]],\n",
" dtype=object)"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x432 with 6 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace, var_names=['phi', 'logit', 'odds'])"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [],
"source": [
"from scipy import stats\n",
"##This will generate a 'distribution' empirically from the posterior of a given variable from a run.\n",
"def from_posterior(param, samples):\n",
" smin, smax = np.min(samples), np.max(samples)\n",
" width = smax - smin\n",
" x = np.linspace(smin, smax, 100)\n",
" y = stats.gaussian_kde(samples)(x)\n",
"\n",
" # what was never sampled should have a small probability but not 0,\n",
" # so we'll extend the domain and use linear approximation of density on it\n",
" x = np.concatenate([[x[0] - 3 * width], x, [x[-1] + 3 * width]])\n",
" y = np.concatenate([[0], y, [0]])\n",
" return Interpolated(param, x, y)"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [
{
"name": "stdout",
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"text": [
"iteration: 0\n"
]
},
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"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [thetas, phi]\n"
]
},
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" <progress value='2000' class='' max='2000', style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [2000/2000 00:13<00:00 Sampling 2 chains, 0 divergences]\n",
" </div>\n",
" "
],
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"<IPython.core.display.HTML object>"
]
},
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},
{
"name": "stdout",
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"text": [
"iteration: 6\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [thetas, phi]\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 00:08<00:00 Sampling 2 chains, 0 divergences]\n",
" </div>\n",
" "
],
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},
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},
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"name": "stdout",
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"text": [
"iteration: 7\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [thetas, phi]\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 00:08<00:00 Sampling 2 chains, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"The estimated number of effective samples is smaller than 200 for some parameters.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"iteration: 8\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [thetas, phi]\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 00:09<00:00 Sampling 2 chains, 0 divergences]\n",
" </div>\n",
" "
],
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"<IPython.core.display.HTML object>"
]
},
"metadata": {},
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},
{
"name": "stdout",
"output_type": "stream",
"text": [
"iteration: 9\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [thetas, phi]\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 00:08<00:00 Sampling 2 chains, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for _ in range(10):\n",
" print('iteration:', _)\n",
" num_measurements, num_events\n",
"\n",
" model = pm.Model()\n",
" with model:\n",
" #group parameter:\n",
" phi = from_posterior('phi', trace['phi'])\n",
" \n",
" #probability:\n",
" logit = pm.Deterministic('logit', 1 / (1 + theano.tensor.exp(phi)))\n",
" odds = pm.Deterministic('odds', (1-logit)/logit)\n",
" #instance parameters:\n",
" thetas = pm.Beta('thetas', alpha=1, beta=odds, shape=N)\n",
" #likelihood:\n",
" y = pm.Binomial('y', n=num_measurements, p=thetas, observed=num_events)\n",
" \n",
" trace = pm.sample(tune=500, draws=500)\n",
" traces.append(trace)"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Posterior distributions after 31 iterations.\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x144 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib as mpl\n",
"print('Posterior distributions after ' + str(len(traces)) + ' iterations.')\n",
"cmap = mpl.cm.autumn\n",
"for param in ['phi']:\n",
" plt.figure(figsize=(8, 2))\n",
" for update_i, tr in enumerate(traces):\n",
" samples = tr[param]\n",
" #smin, smax = np.min(samples), np.max(samples)\n",
" p = 1 / (1+np.exp(samples))\n",
" smin, smax = np.min(p), np.max(p)\n",
" #x = np.linspace(smin, smax, 100)\n",
" x = np.linspace(0.185, 0.215, 100)\n",
" y = stats.gaussian_kde(p)(x)\n",
" plt.plot(x, y, color=cmap(1 - update_i / len(traces)))\n",
"\n",
" plt.ylabel('Frequency')\n",
" plt.title(param)\n",
"\n",
"plt.tight_layout();"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [],
"source": [
"pdfs = list()\n",
"\n",
"for param in ['phi']:\n",
" for update_i, tr in enumerate(traces):\n",
" samples = tr[param] \n",
" p = 1 / (1+np.exp(samples))\n",
" smin, smax = np.min(p), np.max(p)\n",
" #x = np.linspace(smin, smax, 100)\n",
" x = np.linspace(0.185, 0.215, 100)\n",
" y = stats.gaussian_kde(p)(x)\n",
" pdfs.append(y)"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x14bebecd0>]"
]
},
"execution_count": 100,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"rmses = list()\n",
"for count, i in enumerate(range(1, 21)):\n",
" rmse = ((pdfs[i]-pdfs[i-1])**2).sum()\n",
" rmses.append(rmse)\n",
" \n",
"plt.scatter(range(1,21),rmses)\n",
"plt.plot(range(1,21),rmses)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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