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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

Intelligent systems sometimes need to infer the probable goals of people, cars, and robots, based on partial observations of their motion. This paper introduces a class of probabilistic programs for formulating and solving these problems.…

Artificial Intelligence · Computer Science 2017-04-19 Marco F. Cusumano-Towner , Alexey Radul , David Wingate , 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

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

Even after fine-tuning and reinforcement learning, large language models (LLMs) can be difficult, if not impossible, to control reliably with prompts alone. We propose a new inference-time approach to enforcing syntactic and semantic…

Artificial Intelligence · Computer Science 2023-11-28 Alexander K. Lew , Tan Zhi-Xuan , Gabriel Grand , Vikash K. Mansinghka

Probabilistic programs encode stochastic models as ordinary-looking programs with primitives for sampling numbers from predefined distributions and conditioning. Their applications include, among many others, machine learning and modeling…

Formal Languages and Automata Theory · Computer Science 2025-12-16 Dominik Geißler , Tobias Winkler

Sequential Monte Carlo methods, also known as particle methods, are a popular set of techniques for approximating high-dimensional probability distributions and their normalizing constants. These methods have found numerous applications in…

Computation · Statistics 2021-06-23 Jeremy Heng , Adrian N. Bishop , George Deligiannidis , Arnaud Doucet

The progressive hedging algorithm (PHA) is a cornerstone among algorithms for large-scale stochastic programming problems. However, its traditional implementation is hindered by some limitations, including the requirement to solve all…

Optimization and Control · Mathematics 2025-03-13 Di Zhang , Yihang Zhang , Suvrajeet Sen

We present a new algorithm for approximate inference in probabilistic programs, based on a stochastic gradient for variational programs. This method is efficient without restrictions on the probabilistic program; it is particularly…

Machine Learning · Statistics 2013-01-08 David Wingate , Theophane Weber

Probabilistic programming is perfectly suited to reliable and transparent data science, as it allows the user to specify their models in a high-level language without worrying about the complexities of how to fit the models. Static analysis…

Artificial Intelligence · Computer Science 2020-08-31 Ryan Bernstein , Matthijs Vákár , Jeannette Wing

Approximate inference in probabilistic graphical models (PGMs) can be grouped into deterministic methods and Monte-Carlo-based methods. The former can often provide accurate and rapid inferences, but are typically associated with biases…

Machine Learning · Statistics 2019-01-09 Fredrik Lindsten , Jouni Helske , Matti Vihola

We consider the task of performing probabilistic inference with probabilistic logical models. Many algorithms for approximate inference with such models are based on sampling. From a logic programming perspective, sampling boils down to…

Artificial Intelligence · Computer Science 2015-03-19 Daan Fierens

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

Probabilistic programming is a powerful abstraction for statistical machine learning. Applying static analysis methods to probabilistic programs could serve to optimize the learning process, automatically verify properties of models, and…

Programming Languages · Computer Science 2019-09-12 Ryan Bernstein

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

Inference metaprogramming enables effective probabilistic programming by supporting the decomposition of executions of probabilistic programs into subproblems and the deployment of hybrid probabilistic inference algorithms that apply…

Programming Languages · Computer Science 2019-07-16 Shivam Handa , Vikash Mansinghka , Martin Rinard

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

This paper proposes Monte Carlo Action Programming, a programming language framework for autonomous systems that act in large probabilistic state spaces with high branching factors. It comprises formal syntax and semantics of a…

Artificial Intelligence · Computer Science 2017-03-01 Lenz Belzner

Probabilistic prediction of sequences from images and other high-dimensional data is a key challenge, particularly in risk-sensitive applications. In these settings, it is often desirable to quantify the uncertainty associated with the…

Machine Learning · Computer Science 2024-10-31 Qidong Yang , Weicheng Zhu , Joseph Keslin , Laure Zanna , Tim G. J. Rudner , Carlos Fernandez-Granda

In probabilistic programming, the inference problem asks to determine a program's posterior distribution conditioned on its "observe" instructions. Inference is challenging, especially when exact rather than approximate results are…

Formal Languages and Automata Theory · Computer Science 2025-11-26 Dominik Geißler , Tobias Winkler
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