{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Censored Data Models" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on PyMC3 v3.9.0\n" ] } ], "source": [ "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import pymc3 as pm\n", "import seaborn as sns\n", "import theano.tensor as tt\n", "\n", "print('Running on PyMC3 v{}'.format(pm.__version__))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%config InlineBackend.figure_format = 'retina'\n", "az.style.use('arviz-darkgrid')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[This example notebook on Bayesian survival\n", "analysis](http://docs.pymc.io/notebooks/survival_analysis.html) touches on the\n", "point of censored data. _Censoring_ is a form of missing-data problem, in which\n", "observations greater than a certain threshold are clipped down to that\n", "threshold, or observations less than a certain threshold are clipped up to that\n", "threshold, or both. These are called right, left and interval censoring,\n", "respectively. In this example notebook we consider interval censoring.\n", "\n", "Censored data arises in many modelling problems. Two common examples are:\n", "\n", "1. _Survival analysis:_ when studying the effect of a certain medical treatment\n", " on survival times, it is impossible to prolong the study until all subjects\n", " have died. At the end of the study, the only data collected for many patients\n", " is that they were still alive for a time period $T$ after the treatment was\n", " administered: in reality, their true survival times are greater than $T$.\n", "\n", "2. _Sensor saturation:_ a sensor might have a limited range and the upper and\n", " lower limits would simply be the highest and lowest values a sensor can\n", " report. For instance, many mercury thermometers only report a very narrow\n", " range of temperatures.\n", "\n", "This example notebook presents two different ways of dealing with censored data\n", "in PyMC3:\n", "\n", "1. An imputed censored model, which represents censored data as parameters and\n", " makes up plausible values for all censored values. As a result of this\n", " imputation, this model is capable of generating plausible sets of made-up\n", " values that would have been censored. Each censored element introduces a\n", " random variable.\n", "\n", "2. An unimputed censored model, where the censored data are integrated out and\n", " accounted for only through the log-likelihood. This method deals more\n", " adequately with large amounts of censored data and converges more quickly.\n", "\n", "To establish a baseline we compare to an uncensored model of the uncensored\n", "data." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Produce normally distributed samples\n", "np.random.seed(1618)\n", "size = 500\n", "mu = 13.\n", "sigma = 5.\n", "samples = np.random.normal(mu, sigma, size)\n", "\n", "# Set censoring limits\n", "high = 16.\n", "low = -1.\n", "\n", "# Censor samples\n", "censored = samples[(samples > low) & (samples < high)]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 371, "width": 1308 } }, "output_type": "display_data" } ], "source": [ "# Visualize uncensored and censored data\n", "_, axarr = plt.subplots(ncols=2, figsize=[16, 4], sharex=True, sharey=True)\n", "for i, data in enumerate([samples, censored]):\n", " sns.distplot(data, ax=axarr[i])\n", "axarr[0].set_title('Uncensored')\n", "axarr[1].set_title('Censored')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Baseline - Uncensored Model of Uncensored Data" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Uncensored model\n", "with pm.Model() as uncensored_model:\n", " mu = pm.Normal('mu', mu=0., sigma=(high - low) / 2.)\n", " sigma = pm.HalfNormal('sigma', sigma=(high - low) / 2.)\n", " observed = pm.Normal('observed', mu=mu, sigma=sigma, observed=samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model 1 - Imputed Censored Model of Censored Data\n", "\n", "In this model, we impute the censored values from the same distribution as the uncensored data. Sampling from the posterior generates possible uncensored data sets.\n", "\n", "This model makes use of [PyMC3's bounded variables](https://docs.pymc.io/api/bounds.html)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Imputed censored model\n", "n_right_censored = len(samples[samples >= high])\n", "n_left_censored = len(samples[samples <= low])\n", "n_observed = len(samples) - n_right_censored - n_left_censored\n", "\n", "with pm.Model() as imputed_censored_model:\n", " mu = pm.Normal('mu', mu=0., sigma=(high - low) / 2.)\n", " sigma = pm.HalfNormal('sigma', sigma=(high - low) / 2.)\n", " \n", " right_censored = pm.Bound(pm.Normal, lower=high)(\n", " 'right_censored', mu=mu, sigma=sigma, shape=n_right_censored\n", " )\n", " left_censored = pm.Bound(pm.Normal, upper=low)(\n", " 'left_censored', mu=mu, sigma=sigma, shape=n_left_censored\n", " )\n", " \n", " observed = pm.Normal(\n", " 'observed',\n", " mu=mu,\n", " sigma=sigma,\n", " observed=censored,\n", " shape=n_observed\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model 2 - Unimputed Censored Model of Censored Data\n", "\n", "In this model, we do not impute censored data, but instead integrate them out through the likelihood.\n", "\n", "The implementations of the likelihoods are non-trivial. See the [Stan manual](https://github.com/stan-dev/stan/releases/download/v2.14.0/stan-reference-2.14.0.pdf) (section 11.3 on censored data) and the [original PyMC3 issue on GitHub](https://github.com/pymc-devs/pymc3/issues/1833) for more information.\n", "\n", "This model makes use of [PyMC3's `Potential`](https://docs.pymc.io/api/model.html#pymc3.model.Potential)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Import the log cdf and log complementary cdf of the normal Distribution from PyMC3\n", "from pymc3.distributions.dist_math import normal_lcdf, normal_lccdf \n", "\n", "# Helper functions for unimputed censored model\n", "def left_censored_likelihood(mu, sigma, n_left_censored, lower_bound):\n", " ''' Likelihood of left-censored data. '''\n", " return n_left_censored * normal_lcdf(mu, sigma, lower_bound)\n", "\n", "\n", "def right_censored_likelihood(mu, sigma, n_right_censored, upper_bound):\n", " ''' Likelihood of right-censored data. '''\n", " return n_right_censored * normal_lccdf(mu, sigma, upper_bound)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Unimputed censored model\n", "with pm.Model() as unimputed_censored_model:\n", " mu = pm.Normal('mu', mu=0., sigma=(high - low) / 2.)\n", " sigma = pm.HalfNormal('sigma', sigma=(high - low) / 2.)\n", " \n", " observed = pm.Normal(\n", " 'observed',\n", " mu=mu,\n", " sigma=sigma,\n", " observed=censored,\n", " )\n", " \n", " left_censored = pm.Potential(\n", " 'left_censored',\n", " left_censored_likelihood(mu, sigma, n_left_censored, low)\n", " )\n", " right_censored = pm.Potential(\n", " 'right_censored',\n", " right_censored_likelihood(mu, sigma, n_right_censored, high)\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sampling" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [sigma, mu]\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [8000/8000 00:02<00:00 Sampling 4 chains, 0 divergences]\n", "
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" ] }, "metadata": { "image/png": { "height": 563, "width": 1667 } }, "output_type": "display_data" } ], "source": [ "# Uncensored model\n", "with uncensored_model:\n", " trace = pm.sample(tune=1000) # Increase `tune` to avoid divergences\n", " pm.plot_posterior(trace);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [left_censored, right_censored, sigma, mu]\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [8000/8000 00:10<00:00 Sampling 4 chains, 0 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 12 seconds.\n", "/dependencies/pymc3/pymc3/plots/__init__.py:35: UserWarning: Keyword argument `varnames` renamed to `var_names`, and will be removed in pymc3 3.8\n", " warnings.warn('Keyword argument `{old}` renamed to `{new}`, and will be removed in pymc3 3.8'.format(old=old, new=new))\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 563, "width": 1667 } }, "output_type": "display_data" } ], "source": [ "# Imputed censored model\n", "with imputed_censored_model:\n", " trace = pm.sample()\n", " pm.plot_posterior(trace, varnames=['mu', 'sigma']);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [sigma, mu]\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [8000/8000 00:02<00:00 Sampling 4 chains, 0 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 3 seconds.\n", "/dependencies/pymc3/pymc3/plots/__init__.py:35: UserWarning: Keyword argument `varnames` renamed to `var_names`, and will be removed in pymc3 3.8\n", " warnings.warn('Keyword argument `{old}` renamed to `{new}`, and will be removed in pymc3 3.8'.format(old=old, new=new))\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 563, "width": 1667 } }, "output_type": "display_data" } ], "source": [ "# Unimputed censored model\n", "with unimputed_censored_model:\n", " trace = pm.sample(tune=1000) # Increase `tune` to avoid divergences\n", " pm.plot_posterior(trace, varnames=['mu', 'sigma']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Discussion\n", "\n", "As we can see, both censored models appear to capture the mean and variance of the underlying distribution as well as the uncensored model! In addition, the imputed censored model is capable of generating data sets of censored values (sample from the posteriors of `left_censored` and `right_censored` to generate them), while the unimputed censored model scales much better with more censored data, and converges faster." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Authors\n", "\n", "- Originally authored by [Luis Mario Domenzain](https://github.com/domenzain) on Mar 7, 2017.\n", "\n", "- Updated by [George Ho](https://github.com/eigenfoo) on Jul 14, 2018." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "numpy 1.18.5\n", "pymc3 3.9.0\n", "seaborn 0.10.1\n", "pandas 1.0.4\n", "arviz 0.8.3\n", "last updated: Mon Jun 15 2020 \n", "\n", "CPython 3.7.7\n", "IPython 7.15.0\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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }