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In recent years sports analytics has gotten more and more popular. We propose a model for Rugby data - in particular to model the 2014 Six Nations tournament. We propose a Bayesian hierarchical model to estimate the characteristics that…

Other Computer Science · Computer Science 2016-07-05 Peadar Coyle

Bayesian inference involves the specification of a statistical model by a statistician or practitioner, with careful thought about what each parameter represents. This results in particularly interpretable models which can be used to…

Computation · Statistics 2019-08-07 Jonathan Law , Darren Wilkinson

Probabilistic programming uses programs to express generative models whose posterior probability is then computed by built-in inference engines. A challenging goal is to develop general purpose inference algorithms that work out-of-the-box…

Machine Learning · Computer Science 2022-11-03 Carol Mak , Fabian Zaiser , Luke Ong

Mechanistic models are essential tools across ecology, epidemiology, and the life sciences, but parameter inference remains challenging when likelihood functions are intractable. Approximate Bayesian Computation with Sequential Monte Carlo…

Populations and Evolution · Quantitative Biology 2025-11-27 Mario Castro

Probabilistic programming (PP) is a programming paradigm that allows for writing statistical models like ordinary programs, performing simulations by running those programs, and analyzing and refining their statistical behavior using…

Programming Languages · Computer Science 2024-06-19 Martin Kuhn , Joscha Grüger , Christoph Matheja , Andrey Rivkin

Forward inference techniques such as sequential Monte Carlo and particle Markov chain Monte Carlo for probabilistic programming can be implemented in any programming language by creative use of standardized operating system functionality…

Artificial Intelligence · Computer Science 2014-07-11 Brooks Paige , Frank Wood

This thesis describes work on two applications of probabilistic programming: the learning of probabilistic program code given specifications, in particular program code of one-dimensional samplers; and the facilitation of sequential Monte…

Artificial Intelligence · Computer Science 2020-05-21 Yura N Perov

We introduce and demonstrate a new approach to inference in expressive probabilistic programming languages based on particle Markov chain Monte Carlo. Our approach is simple to implement and easy to parallelize. It applies to…

Machine Learning · Statistics 2015-07-10 Frank Wood , Jan Willem van de Meent , Vikash Mansinghka

Probabilistic programming methods have revolutionised Bayesian inference, making it easier than ever for practitioners to perform Markov-chain-Monte-Carlo sampling from non-conjugate posterior distributions. Here we focus on Stan, arguably…

Computation · Statistics 2025-02-10 Clemens Pichler , Jack Jewson , Alejandra Avalos-Pacheco

Probabilistic programming languages (PPLs) are receiving widespread attention for performing Bayesian inference in complex generative models. However, applications to science remain limited because of the impracticability of rewriting…

Hamiltonian Monte Carlo (HMC) is a powerful algorithm to sample latent variables from Bayesian models. The advent of probabilistic programming languages (PPLs) frees users from writing inference algorithms and lets users focus on modeling.…

Machine Learning · Computer Science 2023-06-05 Jinlin Lai , Javier Burroni , Hui Guan , Daniel Sheldon

A challenging problem in probabilistic programming is to develop inference algorithms that work for arbitrary programs in a universal probabilistic programming language (PPL). We present the nonparametric involutive Markov chain Monte Carlo…

Machine Learning · Computer Science 2022-11-03 Carol Mak , Fabian Zaiser , Luke Ong

Probabilistic programming is a growing area that strives to make statistical analysis more accessible, by separating probabilistic modelling from probabilistic inference. In practice this decoupling is difficult. No single inference…

Programming Languages · Computer Science 2022-04-15 Maria I. Gorinova

We develop a technique for generalising from data in which models are samplers represented as program text. We establish encouraging empirical results that suggest that Markov chain Monte Carlo probabilistic programming inference techniques…

Artificial Intelligence · Computer Science 2014-07-11 Yura N. Perov , Frank D. Wood

The Python package pyABC provides a framework for approximate Bayesian computation (ABC), a likelihood-free parameter inference method popular in many research areas. At its core, it implements a sequential Monte-Carlo (SMC) scheme, with…

Quantitative Methods · Quantitative Biology 2022-03-25 Yannik Schälte , Emmanuel Klinger , Emad Alamoudi , Jan Hasenauer

Gaussian Processes (GPs) are widely used tools in statistics, machine learning, robotics, computer vision, and scientific computation. However, despite their popularity, they can be difficult to apply; all but the simplest classification or…

Machine Learning · Computer Science 2016-01-06 Ulrich Schaechtle , Ben Zinberg , Alexey Radul , Kostas Stathis , Vikash K. Mansinghka

Probabilistic programming is an approach to reasoning under uncertainty by encoding inference problems as programs. In order to solve these inference problems, probabilistic programming languages (PPLs) employ different inference…

Programming Languages · Computer Science 2023-05-04 Daniel Lundén , Johannes Borgström , David Broman

Hamiltonian Monte Carlo (HMC) is an efficient and effective means of sampling posterior distributions on Euclidean space, which has been extended to manifolds with boundary. However, some applications require an extension to more general…

Populations and Evolution · Quantitative Biology 2017-06-26 Vu Dinh , Arman Bilge , Cheng Zhang , Frederick A. Matsen

$\textit{Pymc-learn}$ is a Python package providing a variety of state-of-the-art probabilistic models for supervised and unsupervised machine learning. It is inspired by $\textit{scikit-learn}$ and focuses on bringing probabilistic machine…

Machine Learning · Statistics 2018-11-05 Daniel Emaasit

Bayesian Networks (BNs) are used in various fields for modeling, prediction, and decision making. pgmpy is a python package that provides a collection of algorithms and tools to work with BNs and related models. It implements algorithms for…

Machine Learning · Computer Science 2023-04-19 Ankur Ankan , Johannes Textor
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