{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Using a custom step method for sampling from locally conjugate posterior distributions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sampling methods based on Monte Carlo are extremely widely used in Bayesian inference, and PyMC3 uses a powerful version of Hamiltonian Monte Carlo (HMC) to efficiently sample from posterior distributions over many hundreds or thousands of parameters. HMC is a generic inference algorithm in the sense that you do not need to assume specific prior distributions (like an inverse-Gamma prior on the conditional variance of a regression model) or likelihood functions. In general, the product of a prior and likelihood will not easily be integrated in closed form, so we can't derive the form of the posterior with pen and paper. HMC is widely regarded as a major improvement over previous Markov chain Monte Carlo (MCMC) algorithms because it uses gradients of the model's log posterior density to make informed proposals in parameter space.\n", "\n", "However, these gradient computations can often be expensive for models with especially complicated functional dependencies between variables and observed data. When this is the case, we may wish to find a faster sampling scheme by making use of additional structure in some portions of the model. When a number of variables within the model are *conjugate*, the conditional posterior--that is, the posterior distribution holding all other model variables fixed--can often be sampled from very easily. This suggests using a HMC-within-Gibbs step in which we alternate between using cheap conjugate sampling for variables when possible, and using more expensive HMC for the rest. \n", "\n", "Generally, it is not advisable to pick *any* alternative sampling method and use it to replace HMC. This combination often yields much worse performance in terms of *effective* sampling rates, even if the individual samples are drawn much more rapidly. In this notebook, we show how to implement a conjugate sampling scheme in PyMC3 and compare it against a full-HMC (or, in this case, NUTS) approach. For this case, we find that using conjugate sampling can dramatically speed up computations for a Dirichlet-multinomial model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Probabilistic model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To keep this notebook simple, we'll consider a relatively simple hierarchical model defined for $N$ observations of a vector of counts across $J$ outcomes::\n", "\n", "$$\\tau \\sim Exp(\\lambda)$$\n", "$$\\mathbf{p}_i \\sim Dir(\\tau )$$\n", "$$\\mathbf{x}_i \\sim Multinomial(\\mathbf{p}_i)$$\n", "\n", "The index $i\\in\\{1,...,N\\}$ represents the observation while $j\\in \\{1...,J\\}$ indexes the outcome. The variable $\\tau$ is a scalar concentration while $\\mathbf{p}_i$ is a $J$-vector of probabilities drawn from a Dirichlet prior with entries $(\\tau, \\tau, ..., \\tau)$. With fixed $\\tau$ and observed data $x$, we know that $\\mathbf{p}$ has a [closed-form posterior distribution](https://en.wikipedia.org/wiki/Dirichlet_distribution#Conjugate_to_categorical/multinomial), meaning that we can easily sample from it. Our sampling scheme will alternate between using the No-U-Turn sampler (NUTS) on $\\tau$ and drawing from this known conditional posterior distribution for $\\mathbf{p}_i$. We will assume a fixed value for $\\lambda$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementing a custom step method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding a conjugate sampler as part of our compound sampling approach is straightforward: we define a new step method that examines the current state of the Markov chain approximation and modifies it by adding samples drawn from the conjugate posterior." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pymc3 as pm\n", "\n", "from pymc3.distributions.transforms import stick_breaking\n", "from pymc3.model import modelcontext\n", "from pymc3.step_methods.arraystep import BlockedStep" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "RANDOM_SEED = 8927\n", "np.random.seed(RANDOM_SEED)\n", "az.style.use(\"arviz-darkgrid\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we need a method for sampling from a Dirichlet distribution. The built in `numpy.random.dirichlet` can only handle 2D input arrays, and we might like to generalize beyond this in the future. Thus, I have created a function for sampling from a Dirichlet distribution with parameter array `c` by representing it as a normalized sum of Gamma random variables. More detail about this is given [here](https://en.wikipedia.org/wiki/Dirichlet_distribution#Gamma_distribution)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def sample_dirichlet(c):\n", " \"\"\"\n", " Samples Dirichlet random variables which sum to 1 along their last axis.\n", " \"\"\"\n", " gamma = np.random.gamma(c)\n", " p = gamma / gamma.sum(axis=-1, keepdims=True)\n", " return p" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we define the step object used to replace NUTS for part of the computation. It must have a `step` method that receives a dict called `point` containing the current state of the Markov chain. We'll modify it in place.\n", "\n", "There is an extra complication here as PyMC3 does not track the state of the Dirichlet random variable in the form $\\mathbf{p}=(p_1, p_2 ,..., p_J)$ with the constraint $\\sum_j p_j = 1$. Rather, it uses an inverse stick breaking transformation of the variable which is easier to use with NUTS. This transformation removes the constraint that all entries must sum to 1 and are positive." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "class ConjugateStep(BlockedStep):\n", " def __init__(self, var, counts: np.ndarray, concentration):\n", " self.vars = [var]\n", " self.counts = counts\n", " self.name = var.name\n", " self.conc_prior = concentration\n", "\n", " def step(self, point: dict):\n", " # Since our concentration parameter is going to be log-transformed\n", " # in point, we invert that transformation so that we\n", " # can get conc_posterior = conc_prior + counts\n", " conc_posterior = np.exp(point[self.conc_prior.transformed.name]) + self.counts\n", " draw = sample_dirichlet(conc_posterior)\n", "\n", " # Since our new_p is not in the transformed / unconstrained space,\n", " # we apply the transformation so that our new value\n", " # is consistent with PyMC3's internal representation of p\n", " point[self.name] = stick_breaking.forward_val(draw)\n", "\n", " return point" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The usage of `point` and its indexing variables can be confusing here. The expression `point[self.conc_prior.transformed.name]` in particular is quite long. This expression is necessary because when `step` is called, it is passed a dictionary `point` with string variable names as keys. \n", "\n", "However, the prior parameter's name won't be stored directly in the keys for `point` because PyMC3 stores a transformed variable instead. Thus, we will need to query `point` using the *transformed name* and then undo that transformation.\n", "\n", "To identify the correct variable to query into `point`, we need to take an argument during initialization that tells the sampling step where to find the prior parameter. Thus, we pass `var` into `ConjugateStep` so that the sampler can find the name of the transformed variable (`var.transformed.name`) later." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulated data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll try out the sampler on some simulated data. Fixing $\\tau=0.5$, we'll draw 500 observations of a 10 dimensional Dirichlet distribution." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(500, 10)\n" ] } ], "source": [ "J = 10\n", "N = 500\n", "\n", "ncounts = 20\n", "tau_true = 0.5\n", "alpha = tau_true * np.ones([N, J])\n", "p_true = sample_dirichlet(alpha)\n", "counts = np.zeros([N, J])\n", "\n", "for i in range(N):\n", " counts[i] = np.random.multinomial(ncounts, p_true[i])\n", "print(counts.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparing partial conjugate with full NUTS sampling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We don't have any closed form expression for the posterior distribution of $\\tau$ so we will use NUTS on it. In the code cell below, we fit the same model using 1) conjugate sampling on the probability vectors with NUTS on $\\tau$, and 2) NUTS for everything." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sequential sampling (2 chains in 1 job)\n", "CompoundStep\n", ">ConjugateStep: [p]\n", ">NUTS: [tau]\n" ] }, { "data": { "text/html": [ "\n", "
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We also see that there are a few divergences in the NUTS-only trace." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to make sure that the two samplers are converging to the same estimates. The posterior histogram and trace plot below show that both essentially converge to $\\tau$ within reasonable posterior uncertainty credible intervals. We can also see that the trace plots lack any obvious autocorrelation as they are mostly indistinguishable from white noise." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for name, trace in zip(names, traces):\n", " ax = az.plot_trace(trace, var_names=\"tau\")\n", " ax[0, 0].axvline(0.5, label=\"True value\", color=\"k\")\n", " ax[0, 0].legend()\n", " plt.suptitle(name)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to avoid comparing sampler effectiveness in terms of raw samples per second. If a sampler works quickly per sample but generates highly correlated samples, the effective sample size (ESS) is diminished. Since our posterior analyses are critically dependent on the effective sample size, we should examine this latter quantity instead.\n", "\n", "This model includes $500\\times 10=5000$ probability values for the 500 Dirichlet random variables. Let's calculate the effective sample size for each of these 5000 entries and generate a histogram for each sampling method:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "summaries_p = []\n", "for trace, model in zip(traces, models):\n", " with model:\n", " summaries_p.append(az.summary(trace, var_names=\"p\"))\n", "\n", "[plt.hist(s[\"ess_mean\"], bins=50, alpha=0.4, label=names[i]) for i, s in enumerate(summaries_p)]\n", "plt.legend(), plt.xlabel(\"Effective sample size\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interestingly, we see that while the mode of the ESS histogram is larger for the full NUTS run, the minimum ESS appears to be lower. Since our inferences are often constrained by the of the worst-performing part of the Markov chain, the minimum ESS is of interest." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minimum effective sample sizes across all entries of p:\n", "{'Partial conjugate sampling': 1351.0, 'Full NUTS': 1358.0}\n" ] } ], "source": [ "print(\"Minimum effective sample sizes across all entries of p:\")\n", "print({names[i]: s[\"ess_mean\"].min() for i, s in enumerate(summaries_p)})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we can see that the conjugate sampling scheme gets a similar number of effective samples in the worst case. However, there is an enormous disparity when we consider the effective sampling *rate*." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minimum ESS/second across all entries of p:\n", "{'Partial conjugate sampling': 66.60434089978705, 'Full NUTS': 3.233159737125047}\n" ] } ], "source": [ "print(\"Minimum ESS/second across all entries of p:\")\n", "print(\n", " {\n", " names[i]: s[\"ess_mean\"].min() / traces[i].posterior.sampling_time\n", " for i, s in enumerate(summaries_p)\n", " }\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The partial conjugate sampling scheme is over 10X faster in terms of worst-case ESS rate!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a final check, we also want to make sure that the probability estimates are the same for both samplers. In the plot below, we can see that estimates from both the partial conjugate sampling and the full NUTS sampling are very closely correlated with the true values." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10, 5))\n", "axes[0].scatter(\n", " summaries_p[0][\"mean\"],\n", " p_true.ravel(),\n", " s=2,\n", " label=\"Partial conjugate sampling\",\n", " zorder=2,\n", " alpha=0.3,\n", " color=\"b\",\n", ")\n", "axes[0].set_ylabel(\"Posterior estimates\"), axes[0].set_xlabel(\"True values\")\n", "\n", "axes[1].scatter(\n", " summaries_p[1][\"mean\"],\n", " p_true.ravel(),\n", " s=2,\n", " alpha=0.3,\n", " color=\"orange\",\n", ")\n", "axes[1].set_ylabel(\"Posterior estimates\"), axes[1].set_xlabel(\"True values\")\n", "\n", "[axes[i].set_title(n) for i, n in enumerate(names)];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* This notebook was written by Christopher Krapu on November 17, 2020." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Sun Jan 17 2021\n", "\n", "Python implementation: CPython\n", "Python version : 3.8.5\n", "IPython version : 7.19.0\n", "\n", "numpy : 1.19.2\n", "arviz : 0.10.0\n", "pymc3 : 3.10.0\n", "matplotlib: 3.3.3\n", "\n", "Watermark: 2.1.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] } ], "metadata": { "kernelspec": { "display_name": "Python (PyMC3 Dev)", "language": "python", "name": "pymc3-dev" }, "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 }