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Hamiltonian Monte Carlo (HMC) is arguably the dominant statistical inference algorithm used in most popular "first-order differentiable" Probabilistic Programming Languages (PPLs). However, the fact that HMC uses derivative information…

Computation · Statistics 2019-05-31 Bradley Gram-Hansen , Yuan Zhou , Tobias Kohn , Tom Rainforth , Hongseok Yang , Frank Wood

This book is a graduate-level introduction to probabilistic programming. It not only provides a thorough background for anyone wishing to use a probabilistic programming system, but also introduces the techniques needed to design and build…

Machine Learning · Statistics 2021-10-20 Jan-Willem van de Meent , Brooks Paige , Hongseok Yang , Frank Wood

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

Probabilistic Programming Languages (PPLs) are a powerful tool in machine learning, allowing highly expressive generative models to be expressed succinctly. They couple complex inference algorithms, implemented by the language, with an…

Programming Languages · Computer Science 2020-10-19 Alexander Collins , Vinod Grover

Despite the recent successes of probabilistic programming languages (PPLs) in AI applications, PPLs offer only limited support for random variables whose distributions combine discrete and continuous elements. We develop the notion of…

Artificial Intelligence · Computer Science 2018-06-11 Yi Wu , Siddharth Srivastava , Nicholas Hay , Simon Du , Stuart Russell

We introduce PPL Bench, a new benchmark for evaluating Probabilistic Programming Languages (PPLs) on a variety of statistical models. The benchmark includes data generation and evaluation code for a number of models as well as…

Universal probabilistic programming languages (PPLs) make it relatively easy to encode and automatically solve statistical inference problems. To solve inference problems, PPL implementations often apply Monte Carlo inference algorithms…

Programming Languages · Computer Science 2024-04-08 Daniel Lundén , Lars Hummelgren , Jan Kudlicka , Oscar Eriksson , David Broman

Inference algorithms in probabilistic programming languages (PPLs) can be thought of as interpreters, since an inference algorithm traverses a model given evidence to answer a query. As with interpreters, we can improve the efficiency of…

Programming Languages · Computer Science 2016-04-19 Rohin Shah , Emina Torlak , Rastislav Bodik

Probabilistic programming languages (PPLs) are an expressive means of representing and reasoning about probabilistic models. The computational challenge of probabilistic inference remains the primary roadblock for applying PPLs in practice.…

Programming Languages · Computer Science 2020-10-19 Steven Holtzen , Guy Van den Broeck , Todd Millstein

Compared to the wide array of advanced Monte Carlo methods supported by modern probabilistic programming languages (PPLs), PPL support for variational inference (VI) is less developed: users are typically limited to a predefined selection…

Programming Languages · Computer Science 2024-06-25 McCoy R. Becker , Alexander K. Lew , Xiaoyan Wang , Matin Ghavami , Mathieu Huot , Martin C. Rinard , Vikash K. Mansinghka

Probabilistic programming languages (PPLs) are an expressive and intuitive means of representing complex probability distributions. In that realm, languages like Dice target an important class of probabilistic programs: those whose…

Logic in Computer Science · Computer Science 2026-02-24 Tobias Gürtler , Benjamin Lucien Kaminski

There are many different probabilistic programming languages that are specialized to specific kinds of probabilistic programs. From a usability and scalability perspective, this is undesirable: today, probabilistic programmers are forced…

Programming Languages · Computer Science 2025-02-28 Sam Stites , John M. Li , Steven Holtzen

Many of today's probabilistic programming languages (PPLs) have brittle inference performance: the performance of the underlying inference algorithm is very sensitive to the precise way in which the probabilistic program is written. A…

Artificial Intelligence · Computer Science 2023-02-22 Ellie Y. Cheng , Todd Millstein , Guy Van den Broeck , Steven Holtzen

Probabilistic Programming Languages (PPLs) allow users to encode statistical inference problems and automatically apply an inference algorithm to solve them. Popular inference algorithms for PPLs, such as sequential Monte Carlo (SMC) and…

Programming Languages · Computer Science 2023-05-05 Daniel Lundén , Gizem Çaylak , Fredrik Ronquist , David Broman

Over the past three decades, the logic programming paradigm has been successfully expanded to support probabilistic modeling, inference and learning. The resulting paradigm of probabilistic logic programming (PLP) and its programming…

Artificial Intelligence · Computer Science 2024-09-10 Pedro Zuidberg Dos Martires , Luc De Raedt , Angelika Kimmig

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

Large Language Models (LLMs) are increasingly deployed across diverse domains, raising the need for rigorous reliability assessment methods. Existing benchmark-based evaluations primarily offer descriptive statistics of model accuracy over…

Software Engineering · Computer Science 2026-01-30 Robab Aghazadeh-Chakherlou , Qing Guo , Siddartha Khastgir , Peter Popov , Xiaoge Zhang , Xingyu Zhao

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…

Probabilistic programming languages (PPLs) are a popular tool for high-level modelling across many fields. They provide a range of algorithms for probabilistic inference, which analyse models by learning their parameters from a dataset or…

Programming Languages · Computer Science 2025-11-17 Sangho Lim , Hyoungjin Lim , Wonyeol Lee , Xavier Rival , Hongseok Yang

While test-time reasoning enables language models (LMs) to tackle complex tasks, searching or planning in natural language can be slow, costly, and error-prone. But even when LMs struggle to emulate the precise reasoning steps needed to…

Computation and Language · Computer Science 2025-08-11 Gabriel Grand , Joshua B. Tenenbaum , Vikash K. Mansinghka , Alexander K. Lew , Jacob Andreas
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