{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Defining custom Greta distributions\n", "\n", "Greta is an R package for deep probabilistic programming and Bayesian modelling, similiar to Edward, PyMC3 or Pyro. One of Greta's key features is its easy extensibility that allows definition of custom functions that get translated and run with Tensorflow automatically. Here, I'll show how one can use Greta to define custom probability distributions for cases when Greta doesn't it already.\n", "\n", "To setup your own distribution and do a statistical analysis with it, we first load some required libraries. To\n", "define a custom distribution, we need R6 since that is the way Greta distributions are written with. For the analysis of our model, we load bayesplot and coda for diagnostics." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\n", "Attaching package: ‘greta’\n", "\n", "The following objects are masked from ‘package:stats’:\n", "\n", " binomial, cov2cor, poisson\n", "\n", "The following objects are masked from ‘package:base’:\n", "\n", " %*%, apply, backsolve, beta, chol2inv, colMeans, colSums, diag,\n", " eigen, forwardsolve, gamma, identity, rowMeans, rowSums, sweep,\n", " tapply\n", "\n", "This is bayesplot version 1.6.0\n", "- Online documentation and vignettes at mc-stan.org/bayesplot\n", "- bayesplot theme set to bayesplot::theme_default()\n", " * Does _not_ affect other ggplot2 plots\n", " * See ?bayesplot_theme_set for details on theme setting\n", "\n", "Attaching package: ‘coda’\n", "\n", "The following object is masked from ‘package:greta’:\n", "\n", " mcmc\n", "\n" ] } ], "source": [ "library(greta)\n", "library(R6)\n", "library(bayesplot)\n", "library(coda)\n", "\n", "options(repr.plot.width=10, repr.plot.height=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that coda::mcmc masks greta::mcmc which means we should namespace the functions we use (we should do that at all times anyways).\n", "\n", "If we have a look at a distribution that Greta is providing we see that it's basically only a couple of lines that are required. For instance, the hypergeometric distribution in R/probability_distributions.R in the Greta package looks something like this:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "hypergeometric_distribution <- R6Class(\n", " \"hypergeometric_distribution\",\n", " inherit = distribution_node,\n", " public = list(\n", "\n", " initialize = function(m, n, k, dim) {\n", " m <- as.greta_array(m)\n", " n <- as.greta_array(n)\n", " k <- as.greta_array(k)\n", " dim <- check_dims(m, n, k, target_dim = dim)\n", " super$initialize(\"hypergeometric\", dim, discrete = TRUE)\n", " self$add_parameter(m, \"m\")\n", " self$add_parameter(n, \"n\")\n", " self$add_parameter(k, \"k\")\n", " },\n", "\n", " tf_distrib = function(parameters, dag) {\n", " m <- parameters$m\n", " n <- parameters$n\n", " k <- parameters$k\n", " log_prob <- function(x) {\n", " tf_lchoose(m, x) + tf_lchoose(n, k - x) - tf_lchoose(m + n, k)\n", " }\n", " list(log_prob = log_prob, cdf = NULL, log_cdf = NULL)\n", " },\n", " \n", " tf_cdf_function = NULL,\n", " tf_log_cdf_function = NULL\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As noted above, a distribution in Greta is an R6 class that inherits from a class distribution_node, has a constructor that takes as arguments the parameters of the distribution we want to create and a dimension argument (dim). For some distributions we also have arguments like truncate when we want to truncate the distribution, for instance, to get a half-normal distribution. Within the constructor we cast the parameters using as.greta_array, check for correct dimensionality with check_dims, initialize the object, and add the parameters of the distribution as members to the object. The second method (tf_distrib) needs to define a nested function log_prob the computes the logarithm of the mass (or density) function.\n", "\n", "Note that, since Greta uses Tensorflow in the backend, we need to use functions from the tensorflow package here. The last part of the distribution class sets tf_cdf_function and tf_log_cdf_function to NULL." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having learnt how Greta defines distributions, we can try to implement one ourselves: a multivariate Bernoulli distribution, i.e. a$p$-dimensional distribution of independent Bernoullis. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since much of the functionality in the class above is private, we first define some utility functions from Greta:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "distribution_node <- .internals$nodes$node_classes$distribution_node\n", "as.greta_array <- .internals$greta_arrays$as.greta_array\n", "check_dims <- .internals$utils$checks$check_dims\n", "distrib <- .internals$nodes$constructors$distrib\n", "fl <- .internals$utils$misc$fl\n", "tf_sum <- greta:::tf_sum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we define the multivariate Bernoulli (or whatever you want to call it):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "multivariate_bernoulli_distribution <- R6Class(\n", " \"multivariate_bernoulli_distribution\",\n", " inherit = distribution_node,\n", " public = list(\n", " initialize = function(prob, dim) {\n", " prob <- as.greta_array(prob)\n", " dim <- check_dims(prob, target_dim = dim)\n", " super$initialize(\"multivariate_bernoulli\", dim, discrete = TRUE)\n", " self$add_parameter(prob, \"prob\")\n", " },\n", " \n", " tf_distrib = function(parameters, dag) {\n", " prob <- parameters$prob\n", " log_prob <- function(x) {\n", " tf_sum(x * log(prob) + (fl(1) - x) * log(fl(1) - prob))\n", " }\n", " \n", " list(log_prob = log_prob, cdf = NULL, log_cdf = NULL)\n", " },\n", " \n", " tf_cdf_function = NULL,\n", " tf_log_cdf_function = NULL\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The definition is precisely as for the hypergeometric distribution, only that we needed to change the parameters. In this case we the arguments are a $p$-dimensional vector of sucess probabilities. As for the hypergeometric distribution, we only need to set up the constructor, implement a tf_distrib function and define the log-probability. Additionally, we write a nice wrapper function that creates an object:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "multivariate_bernoulli <- function(prob, dim = NULL) {\n", " distrib(\"multivariate_bernoulli\", prob, dim)\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's pretty much it. Let's test our distribution with a small example. We set up a data set of 90 samples of a three-dimensional Bernoulli mixture." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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1. 0.1
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3. 0.5
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5. 0.9
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\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 0.1\n", "\\item 0.5\n", "\\item 0.9\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 0.1\n", "2. 0.5\n", "3. 0.9\n", "\n", "\n" ], "text/plain": [ "[1] 0.1 0.5 0.9" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n <- 30\n", "p <- 3\n", "k <- 3\n", "(probs <- seq(0.1, 0.9, length.out = k))\n", "\n", "d <- rbind(\n", " matrix(rbinom(n * p, 1, probs[1]), n),\n", " matrix(rbinom(n * p, 1, probs[2]), n),\n", " matrix(rbinom(n * p, 1, probs[3]), n)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The code above creates data from a three-component mixture model of multi-variate Bernoullis with different success probablities.\n", "Now, let's mdoel this in Greta. First we set up the priors we need. Since Greta so far does not provide an ordered keyword like Stan does, we need to make use of non-exchangable priors for the success probabilities of the single Bernoullis. Otherwise the posteriors would not be identifiable.\n", "\n", "The Beta distribution is a natural choice for the priors. Choosing different hyperparameters let's us put most of the density differntly for each component. Since we use three components, I parameterize the priors such that the main part of the density is around $0.1$, $0.5$ and $0.9$.\n", "\n", "The plots below show this:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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X7FQ6VFqZ4HyBfZm1eL779k+Gl3HDF+wskTj+7ft09paFz5ztsv1D42YdSuE3+1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\n0yLMA/AJDrgDHRPByUvu6wUUkMfv/nnNH58678B+U37w792p5Np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"text/plain": [ "Plot with title “Beta(10, 2)”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "par(mfrow=c(1, 3))\n", "hist(rbeta(1000, 2, 10), col = \"darkgrey\", xlab=\"X\", main=\"Beta(2, 10)\", xlim=c(0, 1))\n", "hist(rbeta(1000, 10, 10), col = \"darkgrey\", xlab=\"X\", main=\"Beta(10, 10)\", xlim=c(0, 1))\n", "hist(rbeta(1000, 10, 2), col = \"darkgrey\", xlab=\"X\", main=\"Beta(10, 2)\", xlim=c(0, 1))\n", "par(mfrow=c(1, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Defining this in Greta is quite easy:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "theta1 <- greta::beta(2, 10, dim = p)\n", "theta2 <- greta::beta(10, 10, dim = p)\n", "theta3 <- greta::beta(10, 2, dim = p)\n", "\n", "pi <- greta::uniform(0, 1, 3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we model the distribution of every observation in our data set." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "for (i in seq(nrow(d)))\n", "{\n", " distribution(d[i,]) <- greta::mixture(\n", " multivariate_bernoulli(theta1),\n", " multivariate_bernoulli(theta2),\n", " multivariate_bernoulli(theta3),\n", " weights = pi)\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The steps above were the ones that took us most of the time to implement while it is simple for the computer. Inferring the posteriors is easy for us, but very hard for the computer on the other hand:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\n", "running 4 chains simultaneously on up to 4 cores\n", "\n", " warmup ====================================== 1000/1000 | eta: 0s | 1% bad \n", " sampling ====================================== 1000/1000 | eta: 0s \n" ] } ], "source": [ "mod <- greta::model(theta1, theta2, theta3)\n", "samples <- greta::mcmc(mod)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check if the inference worked out nicely.\n", "First, we have a look at potential scale reduction factors to check for possible divergences." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Potential scale reduction factors:\n", "\n", " Point est. Upper C.I.\n", "theta1[1,1] 1.00 1.00\n", "theta1[2,1] 1.00 1.01\n", "theta1[3,1] 1.00 1.00\n", "theta2[1,1] 1.00 1.01\n", "theta2[2,1] 1.00 1.01\n", "theta2[3,1] 1.00 1.01\n", "theta3[1,1] 1.00 1.01\n", "theta3[2,1] 1.01 1.02\n", "theta3[3,1] 1.00 1.00\n", "\n", "Multivariate psrf\n", "\n", "1.01" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coda::gelman.diag(samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks ok, none of the estimates are greater than 1.05 which is usually a good indicator. In addition it always makes sense to look at the effective sample size." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n" ], "text/latex": [ "\\begin{description*}\n", "\\item[theta1\\{{[}\\}1,1\\{{]}\\}] 2602.33973671931\n", "\\item[theta1\\{{[}\\}2,1\\{{]}\\}] 2414.65893630556\n", "\\item[theta1\\{{[}\\}3,1\\{{]}\\}] 2504.24586711713\n", "\\item[theta2\\{{[}\\}1,1\\{{]}\\}] 2529.47224443831\n", "\\item[theta2\\{{[}\\}2,1\\{{]}\\}] 2766.63949634105\n", "\\item[theta2\\{{[}\\}3,1\\{{]}\\}] 2757.4459721625\n", "\\item[theta3\\{{[}\\}1,1\\{{]}\\}] 2208.28249641005\n", "\\item[theta3\\{{[}\\}2,1\\{{]}\\}] 2351.80168330971\n", "\\item[theta3\\{{[}\\}3,1\\{{]}\\}] 2535.30094514505\n", "\\end{description*}\n" ], "text/markdown": [ "theta1[1,1]\n", ": 2602.33973671931theta1[2,1]\n", ": 2414.65893630556theta1[3,1]\n", ": 2504.24586711713theta2[1,1]\n", ": 2529.47224443831theta2[2,1]\n", ": 2766.63949634105theta2[3,1]\n", ": 2757.4459721625theta3[1,1]\n", ": 2208.28249641005theta3[2,1]\n", ": 2351.80168330971theta3[3,1]\n", ": 2535.30094514505\n", "\n" ], "text/plain": [ "theta1[1,1] theta1[2,1] theta1[3,1] theta2[1,1] theta2[2,1] theta2[3,1] \n", " 2602.340 2414.659 2504.246 2529.472 2766.639 2757.446 \n", "theta3[1,1] theta3[2,1] theta3[3,1] \n", " 2208.282 2351.802 2535.301 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coda::effectiveSize(samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we should have a look at the posterior traces to see if some chain went wrong." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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RSLpbY1dWoi/Ll47u3pj77yKehX1m6Nqd1xrqj44Qnf70rNPYG9h9tvNY6z5iZe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oJz6/x2u76u1/eOOrVzdu6ltuqTaOP//8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\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QcA6b/c1+qXum8xFTjg5uZ1FoZERFny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\nMbx79uVTBze/9qG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RASCAQCgUAgEAgE\nAqFjIAYhgUAgEAgEAoFAIFylEIOQQCAQCAQCgUAgEK5SiEFIIBAIBAKBQCAQCFcpxCAkEAgE\nAoFAIBAIhKsUYhASCAQCgUAgEAgEwlUKMQgJBAKBQCAQCAQC4SqFGIQEAoFAIBAIBAKBcJVC\nDEICgUAgEAgEAoFAuEohBiGBQCAQCAQCgUAgXKUQg5BAIBAIBAKBQCAQrlKIQUggEAgEAoFA\nIBAIVynEICQQCAQCgUAgEAiEqxRiEBIIBAKBQCAQCATCVcr/A2tgAngR/6PVAAAAAElFTkSu\nQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bayesplot::mcmc_trace(samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The three diagnostics above pose a great way to check your model and if something went wrong. Often, if, for instance, the psrfs are high or effective sample size is very low, we might have poorly designed our model and need to put more thought into constructing priors or simplifying parts of the model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally let's look at the posteriors and if we could infer the parameters, i.e. the success probabilities." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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oYa2uOJDi1CKnuW67l5oyZ9OP3tpRtXzPb2vOuPVq4h77W3PtdpnVcvnOzjVdab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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bayesplot::mcmc_intervals(samples)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "stat_bin() using bins = 30. Pick better value with binwidth.\n" ] }, { "data": { "image/png": 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CRFQQgAAAAAkqIgBAAAAABJURACAAAAgKQoCAEAAABAUhSEAAAAACApCkIAAAAA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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bayesplot::mcmc_hist(samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## License\n", "\n", "
\n", "\n", "The case study is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License." ] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.0.0" } }, "nbformat": 4, "nbformat_minor": 2 }