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@jessegrabowski
Created July 13, 2023 07:01
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Updated Hazard Model Example
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "292f5cd3",
"metadata": {},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"import pymc as pm\n",
"from statsmodels import datasets\n",
"import pytensor.tensor as pt\n",
"import seaborn as sns\n",
"import arviz as az\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "11018af3",
"metadata": {},
"outputs": [],
"source": [
"df = datasets.get_rdataset('mastectomy', 'HSAUR', cache=True).data\n",
"df.event = df.event.astype(np.int64)\n",
"df.metastized = (df.metastized == 'yes').astype(np.int64)\n",
"n_patients = df.shape[0]\n",
"patients = np.arange(n_patients)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "b1e42515",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>time</th>\n",
" <th>event</th>\n",
" <th>metastized</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>23</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>47</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>69</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>70</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>100</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" time event metastized\n",
"0 23 1 0\n",
"1 47 1 0\n",
"2 69 1 0\n",
"3 70 0 0\n",
"4 100 0 0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "a4696082",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x156a3c9a0>]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interval_length = 3\n",
"interval_bounds = np.arange(0, df.time.max() + interval_length + 1, interval_length)\n",
"n_intervals = interval_bounds.size - 1\n",
"intervals = np.arange(n_intervals)\n",
"plt.step(interval_bounds, interval_bounds)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "911b275d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"last_period = np.floor((df.time - 0.01) / interval_length).astype(int)\n",
"\n",
"death = np.zeros((n_patients, n_intervals))\n",
"death[patients, last_period] = df.event.values\n",
"sns.heatmap(death, cbar=None);"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "49f20ed2",
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"exposure = (df.time.values[:, None] > interval_bounds[:-1]) * interval_length\n",
"exposure[patients, last_period] = df.time - interval_bounds[last_period]\n",
"assert np.all(exposure.sum(axis=-1) == df.time.values)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "6604510e",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/jessegrabowski/mambaforge/envs/pymc-experimental/lib/python3.10/site-packages/pymc/sampling/mcmc.py:273: UserWarning: Use of external NUTS sampler is still experimental\n",
" warnings.warn(\"Use of external NUTS sampler is still experimental\", UserWarning)\n",
"/Users/jessegrabowski/mambaforge/envs/pymc-experimental/lib/python3.10/site-packages/pymc/util.py:501: FutureWarning: The tag attribute observations is deprecated. Use model.rvs_to_values[rv] instead\n",
" warnings.warn(\n"
]
},
{
"data": {
"text/html": [
"\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:not([value]), progress:not([value])::-webkit-progress-bar {\n",
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
"</style>\n"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <progress value='8000' class='' max='8000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [8000/8000 00:06&lt;00:00 Chains in warmup: 0, Divergences: 0]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [obs]\n"
]
},
{
"data": {
"text/html": [
"\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:not([value]), progress:not([value])::-webkit-progress-bar {\n",
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
"</style>\n"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <progress value='4000' class='' max='4000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [4000/4000 00:00&lt;00:00]\n",
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" "
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"text/plain": [
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"metadata": {},
"output_type": "display_data"
}
],
"source": [
"coords = {'patient':df.index.values.astype(int),\n",
" 'interval':intervals.astype('int')}\n",
"\n",
"with pm.Model(coords=coords) as model:\n",
" metastized = pm.ConstantData('metastized', df.metastized.values, dims=['patient'])\n",
" death_pt = pm.ConstantData('death', death, dims=['patient', 'interval'])\n",
" \n",
"# lambda0 = pm.Gamma('lambda0', mu=0.01, sigma=0.1, dims=['interval'])\n",
" lambda0_mu = pm.Normal('lambda0_mu')\n",
" lambda0_step = pm.Normal('lambda0_step', dims=['interval'])\n",
" lambda0 = pm.Deterministic('lambda0', pt.exp(lambda0_mu + lambda0_step.cumsum(axis=-1)), dims=['interval'])\n",
" \n",
" tau = pm.Exponential('sigma', 1)\n",
" mu_beta = pm.Normal('mu_beta', 0., 0.1)\n",
" beta = pm.Normal('beta', mu_beta, tau=tau)\n",
" \n",
" lambda_ = pm.Deterministic('lambda_', pt.exp(beta * metastized[:, None]) * lambda0[None], dims=['patient', 'interval'])\n",
" \n",
" mu = pm.Deterministic('mu', exposure * lambda_, dims=['patient', 'interval'])\n",
" obs = pm.Poisson('obs', mu=mu, observed=death_pt, dims=['patient', 'interval'])\n",
" idata = pm.sample(nuts_sampler='nutpie', target_accept=0.95)\n",
" idata = pm.sample_posterior_predictive(idata, extend_inferencedata=True)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "0d8d7c40",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/jessegrabowski/mambaforge/envs/pymc-experimental/lib/python3.10/site-packages/arviz/utils.py:184: NumbaDeprecationWarning: \u001b[1mThe 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\u001b[0m\n",
" numba_fn = numba.jit(**self.kwargs)(self.function)\n"
]
},
{
"data": {
"text/plain": [
"<Axes: >"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"az.plot_energy(idata)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "d9b1d708",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1200x400 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"az.plot_trace(idata, var_names=['lambda0', 'beta']);"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "d753b234",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='obs / obs'>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"az.plot_ppc(idata)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "e4d6a935",
"metadata": {},
"outputs": [],
"source": [
"def cum_hazard(exposure_length, hazard_rate):\n",
" return (exposure_length * hazard_rate).cumsum(axis=-1)\n",
"\n",
"def survival(exposure_length, hazard_rate):\n",
" return pt.exp(-cum_hazard(exposure_length, hazard_rate))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "adeb1449",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: []\n"
]
},
{
"data": {
"text/html": [
"\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:not([value]), progress:not([value])::-webkit-progress-bar {\n",
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
"</style>\n"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <progress value='4000' class='' max='4000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [4000/4000 00:00&lt;00:00]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with pm.Model(coords=coords) as hazard_model:\n",
" lambda0 = pm.Flat('lambda0', dims=['interval'])\n",
" beta = pm.Flat('beta')\n",
" \n",
" base_cum_hazard = pm.Deterministic('base_hazard', cum_hazard(interval_length, lambda0))\n",
" base_survivial = pm.Deterministic('base_survival', survival(interval_length, lambda0))\n",
" \n",
" met_cum_hazard = pm.Deterministic('met_hazard', cum_hazard(interval_length, lambda0 * pt.exp(beta)))\n",
" met_survival = pm.Deterministic('met_survival', survival(interval_length, lambda0 * pt.exp(beta)))\n",
" \n",
" hazard_idata = pm.sample_posterior_predictive(idata, var_names=['base_hazard', 'base_survival', 'met_hazard', 'met_survival'],\n",
" extend_inferencedata=False, predictions=True)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "a9fec087",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x16c9fa5f0>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(14,4))\n",
"xlabel_dict = {\n",
" 'hazard':r'Cumulative hazard $\\Lambda(t)$',\n",
" 'survival':r'Survival function $S(t)$'\n",
"}\n",
"\n",
"color_dict = {\n",
" 'base':'tab:blue',\n",
" 'met':'tab:red'\n",
"}\n",
"\n",
"label_dict = {\n",
" 'base':'Baseline',\n",
" 'met':'Cancer metastized'\n",
"}\n",
"\n",
"for axis, group in zip(fig.axes, ['hazard', 'survival']):\n",
" for curve in ['base', 'met']:\n",
" var_name = f'{curve}_{group}'\n",
" hdi = az.hdi(hazard_idata.predictions[var_name])[var_name]\n",
"\n",
" data = az.extract(hazard_idata, 'predictions')[var_name]\n",
" axis.step(interval_bounds[:-1], data.mean(dim=['sample']), color=color_dict[curve], label=label_dict[curve])\n",
" axis.fill_between(interval_bounds[:-1], *hdi.values.T, color=color_dict[curve], alpha=0.25)\n",
" axis.set(ylabel=xlabel_dict[group])\n",
" axis.set(xlabel='Months since masectomy')\n",
"fig.axes[0].legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "36888746",
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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