{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Reparameterizing the Weibull Accelerated Failure Time Model" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on PyMC3 v3.6\n" ] } ], "source": [ "%matplotlib inline\n", "import pymc3 as pm\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import statsmodels\n", "import patsy\n", "import theano.tensor as tt\n", "\n", "plt.style.use('seaborn-darkgrid')\n", "print('Running on PyMC3 v{}'.format(pm.__version__))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dataset\n", "\n", "The [previous example notebook on Bayesian parametric survival analysis](https://docs.pymc.io/notebooks/bayes_param_survival.html) introduced two different accelerated failure time (AFT) models: Weibull and log-linear. In this notebook, we present three different parameterizations of the Weibull AFT model.\n", "\n", "The data set we'll use is the `flchain` R data set, which comes from a medical study investigating the effect of serum free light chain (FLC) on lifespan. Read the full documentation of the data by running:\n", "\n", "`print(statsmodels.datasets.get_rdataset(package='survival', dataname='flchain').__doc__)`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Fetch and clean data\n", "data = (statsmodels.datasets\n", " .get_rdataset(package='survival', dataname='flchain')\n", " .data\n", " .sample(500) # Limit ourselves to 500 observations\n", " .reset_index(drop=True))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "y = data.futime.values\n", "censored = ~data['death'].values.astype(bool)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([4953, 4170, 2169, 4522, 4558])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y[:5]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ True, False, True, False, True])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "censored[:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using `pm.Potential`\n", "\n", "We have an unique problem when modelling censored data. Strictly speaking, we don't have any _data_ for censored values: we only know the _number_ of values that were censored. How can we include this information in our model?\n", "\n", "One way do this is by making use of `pm.Potential`. The [PyMC2 docs](https://pymc-devs.github.io/pymc/modelbuilding.html#the-potential-class) explain its usage very well. Essentially, declaring `pm.Potential('x', logp)` will add `logp` to the log-likelihood of the model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameterization 1\n", "\n", "This parameterization is an intuitive, straightforward parameterization of the Weibull survival function. This is probably the first parameterization to come to one's mind." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def weibull_lccdf(x, alpha, beta):\n", " ''' Log complementary cdf of Weibull distribution. '''\n", " return -(x / beta)**alpha" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model_1:\n", " alpha_sd = 10.0\n", "\n", " mu = pm.Normal('mu', mu=0, sigma=100)\n", " alpha_raw = pm.Normal('a0', mu=0, sigma=0.1)\n", " alpha = pm.Deterministic('alpha', tt.exp(alpha_sd * alpha_raw))\n", " beta = pm.Deterministic('beta', tt.exp(mu / alpha))\n", " \n", " y_obs = pm.Weibull('y_obs', alpha=alpha, beta=beta, observed=y[~censored])\n", " y_cens = pm.Potential('y_cens', weibull_lccdf(y[censored], alpha, beta))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [a0, mu]\n", "Sampling 2 chains: 100%|██████████| 4000/4000 [00:08<00:00, 497.02draws/s]\n", "/Users/twiecki/anaconda3/lib/python3.6/site-packages/mkl_fft/_numpy_fft.py:1044: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " output = mkl_fft.rfftn_numpy(a, s, axes)\n", "The number of effective samples is smaller than 25% for some parameters.\n" ] } ], "source": [ "with model_1:\n", " # Increase tune and change init to avoid divergences\n", " trace_1 = pm.sample(draws=1000, tune=1000,\n", " target_accept=0.9,\n", " init='adapt_diag')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace_1, var_names=['alpha', 'beta']);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/twiecki/anaconda3/lib/python3.6/site-packages/mkl_fft/_numpy_fft.py:1044: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " output = mkl_fft.rfftn_numpy(a, s, axes)\n" ] }, { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
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" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "alpha 1.15 0.10 0.01 0.97 1.36 362.67 1.0\n", "beta 11225.11 1322.31 53.46 8899.77 13872.52 595.54 1.0" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace_1, varnames=['alpha', 'beta']).round(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameterization 2\n", "\n", "Note that, confusingly, `alpha` is now called `r`, and `alpha` denotes a prior; we maintain this notation to stay faithful to the original implementation in Stan. In this parameterization, we still model the same parameters `alpha` (now `r`) and `beta`.\n", "\n", "For more information, see [this Stan example model](https://github.com/stan-dev/example-models/blob/5e9c5055dcea78ad756a6fb9b3ff9a77a0a4c22b/bugs_examples/vol1/kidney/kidney.stan) and [the corresponding documentation](https://www.mrc-bsu.cam.ac.uk/wp-content/uploads/WinBUGS_Vol1.pdf)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model_2:\n", " alpha = pm.Normal('alpha', mu=0, sigma=10)\n", " r = pm.Gamma('r', alpha=1, beta=0.001, testval=0.25)\n", " beta = pm.Deterministic('beta', tt.exp(-alpha / r))\n", "\n", " y_obs = pm.Weibull('y_obs', alpha=r, beta=beta, observed=y[~censored])\n", " y_cens = pm.Potential('y_cens', weibull_lccdf(y[censored], r, beta))" ] }, { "cell_type": "code", "execution_count": 13, "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: [r, alpha]\n", "Sampling 2 chains: 100%|██████████| 4000/4000 [00:09<00:00, 434.81draws/s]\n", "/Users/twiecki/anaconda3/lib/python3.6/site-packages/mkl_fft/_numpy_fft.py:1044: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " output = mkl_fft.rfftn_numpy(a, s, axes)\n", "The number of effective samples is smaller than 25% for some parameters.\n" ] } ], "source": [ "with model_2:\n", " # Increase tune and target_accept to avoid divergences\n", " trace_2 = pm.sample(draws=1000, tune=1000,\n", " target_accept=0.9)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace_2, var_names=['r', 'beta']);" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/twiecki/anaconda3/lib/python3.6/site-packages/mkl_fft/_numpy_fft.py:1044: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " output = mkl_fft.rfftn_numpy(a, s, axes)\n" ] }, { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
r1.150.090.000.981.34385.921.0
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" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "r 1.15 0.09 0.00 0.98 1.34 385.92 1.0\n", "beta 11275.85 1299.18 48.06 8804.12 13719.80 584.16 1.0" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace_2, varnames=['r', 'beta']).round(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameterization 3\n", "\n", "In this parameterization, we model the log-linear error distribution with a Gumbel distribution instead of modelling the survival function directly. For more information, see [this blog post](http://austinrochford.com/posts/2017-10-02-bayes-param-survival.html)." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "logtime = np.log(y)\n", "\n", "def gumbel_sf(y, mu, sigma):\n", " ''' Gumbel survival function. '''\n", " return 1.0 - tt.exp(-tt.exp(-(y - mu) / sigma))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model_3:\n", " s = pm.HalfNormal('s', tau=5.0)\n", " gamma = pm.Normal('gamma', mu=0, sigma=5)\n", "\n", " y_obs = pm.Gumbel('y_obs', mu=gamma, beta=s, observed=logtime[~censored])\n", " y_cens = pm.Potential('y_cens', gumbel_sf(y=logtime[censored], mu=gamma, sigma=s))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [gamma, s]\n", "Sampling 2 chains: 100%|██████████| 4000/4000 [00:02<00:00, 1538.34draws/s]\n", "/Users/twiecki/anaconda3/lib/python3.6/site-packages/mkl_fft/_numpy_fft.py:1044: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " output = mkl_fft.rfftn_numpy(a, s, axes)\n" ] } ], "source": [ "with model_3:\n", " # Increase tune and change init to avoid divergences\n", " trace_3 = pm.sample(draws=1000, tune=1000,\n", " init='adapt_diag')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "gamma 8.47 0.16 0.01 8.16 8.78 940.27 1.0\n", "s 2.17 0.11 0.00 1.98 2.40 900.70 1.0" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace_3).round(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Authors\n", "\n", "- Originally collated by [Junpeng Lao](https://junpenglao.xyz/) on Apr 21, 2018. See original code [here](https://github.com/junpenglao/Planet_Sakaar_Data_Science/blob/65447fdb431c78b15fbeaef51b8c059f46c9e8d6/PyMC3QnA/discourse_1107.ipynb).\n", "- Authored and ported to Jupyter notebook by [George Ho](https://eigenfoo.xyz/) on Jul 15, 2018." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pymc3 3.8\n", "arviz 0.7.0\n", "pandas 0.25.3\n", "seaborn 0.9.0\n", "numpy 1.17.5\n", "last updated: Wed Apr 22 2020 \n", "\n", "CPython 3.8.0\n", "IPython 7.11.0\n", "watermark 2.0.2\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] } ], "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": "3.8.2" } }, "nbformat": 4, "nbformat_minor": 4 }