{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Probabilistic Programming\n", "\n", "A Probabilistic Programming Language (PPL) is a computer language providing statistical modelling and inference functionalities, in order to reason about random variables, probability distributions and conditioning problems. The most popular PPLs are `Stan`, `PyMC`, `Pyro` and `Edward`. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A probabilistic program is a mix of **deterministic computation** and **sampling**, which allows to *draw random values* from distributions, to *condition* variables on observations and to perform *inference*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pyro\n", "Pyro is a universal probabilistic programming language based on Python.\n", "\n", "It can represent any probabilistic model, while providing automatic optimization-based inference that is flexible and scalable to large data sets. \n", "Pyro builds on PyTorch library, which supports GPU-accelerated tensor math and includes automatic differentiation, a technique for efficiently computing gradients.\n" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "### Models\n", "The basic unit of probabilistic programs is the stochastic function (or model). A statistical model is a mathematical description of how the values of some knowns and unknowns could generate the observed data.\n", "\n", "![image.png](attachment:image.png)\n", "