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We present the Sum-Product Probabilistic Language (SPPL), a new probabilistic programming language that automatically delivers exact solutions to a broad range of probabilistic inference queries. SPPL translates probabilistic programs into…

Programming Languages · Computer Science 2021-06-14 Feras A. Saad , Martin C. Rinard , Vikash K. Mansinghka

A research frontier has emerged in scientific computation, wherein numerical error is regarded as a source of epistemic uncertainty that can be modelled. This raises several statistical challenges, including the design of statistical…

Machine Learning · Statistics 2017-10-19 François-Xavier Briol , Chris. J. Oates , Mark Girolami , Michael A. Osborne , Dino Sejdinovic

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

Complex cyber-physical systems interact in real-time and must consider both timing and uncertainty. Developing software for such systems is expensive and difficult, especially when modeling, inference, and real-time behavior must be…

Programming Languages · Computer Science 2024-07-09 Lars Hummelgren , Matthias Becker , David Broman

Synchronous modeling is at the heart of programming languages like Lustre, Esterel, or Scade used routinely for implementing safety critical control software, e.g., fly-by-wire and engine control in planes. However, to date these languages…

Programming Languages · Computer Science 2020-04-13 Guillaume Baudart , Louis Mandel , Eric Atkinson , Benjamin Sherman , Marc Pouzet , Michael Carbin

Probabilistic programming languages are valuable because they allow domain experts to express probabilistic models and inference algorithms without worrying about irrelevant details. However, for decades there remained an important and…

Programming Languages · Computer Science 2019-07-03 Rajan Walia , Praveen Narayanan , Jacques Carette , Sam Tobin-Hochstadt , Chung-chieh Shan

Sequential Monte Carlo (SMC) methods are a widely used set of computational tools for inference in non-linear non-Gaussian state-space models. We propose a new SMC algorithm to compute the expectation of additive functionals recursively.…

Methodology · Statistics 2010-12-27 Pierre Del Moral , Arnaud Doucet , Sumeetpal Singh

Language models now provide an interface to express and often solve general problems in natural language, yet their ultimate computational capabilities remain a major topic of scientific debate. Unlike a formal computer, a language model is…

Computation and Language · Computer Science 2026-02-11 Alex Lewandowski , Marlos C. Machado , Dale Schuurmans

Applications that require substantial computational resources today cannot avoid the use of heavily parallel machines. Embracing the opportunities of parallel computing and especially the possibilities provided by a new generation of…

Computational Physics · Physics 2017-09-14 Martin Weigel

Numerous capability and safety techniques of Large Language Models (LLMs), including RLHF, automated red-teaming, prompt engineering, and infilling, can be cast as sampling from an unnormalized target distribution defined by a given reward…

Machine Learning · Computer Science 2024-05-01 Stephen Zhao , Rob Brekelmans , Alireza Makhzani , Roger Grosse

Anglican is a probabilistic programming system designed to interoperate with Clojure and other JVM languages. We introduce the programming language Anglican, outline our design choices, and discuss in depth the implementation of the…

Programming Languages · Computer Science 2016-12-01 David Tolpin , Jan Willem van de Meent , Hongseok Yang , Frank Wood

Predictive coding (PC) accounts of perception now form one of the dominant computational theories of the brain, where they prescribe a general algorithm for inference and learning over hierarchical latent probabilistic models. Despite this,…

Machine Learning · Computer Science 2023-03-10 Umais Zahid , Qinghai Guo , Karl Friston , Zafeirios Fountas

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

Probabilistic programming languages have recently gained a lot of attention, in particular due to their applications in domains such as machine learning and differential privacy. To establish invariants of interest, many such languages…

Programming Languages · Computer Science 2026-04-08 Wenjia Ye , Matías Toro , Federico Olmedo

A novel algorithm for computing the action of a matrix exponential over a vector is proposed. The algorithm is based on a multilevel Monte Carlo method, and the vector solution is computed probabilistically generating suitable random paths…

Numerical Analysis · Mathematics 2019-07-05 Juan A. Acebron , Jose R. Herrero , Jose Monteiro

In this paper we propose a new approach to the description of a network of interacting processes in a traditional programming language. Special programming languages or extensions to sequential languages are usually designed to express the…

Programming Languages · Computer Science 2017-02-17 Sergey Vostokin

Probabilistic programming languages aim to describe and automate Bayesian modeling and inference. Modern languages support programmable inference, which allows users to customize inference algorithms by incorporating guide programs to…

Programming Languages · Computer Science 2021-04-09 Di Wang , Jan Hoffmann , Thomas Reps

Monte Carlo and Quasi-Monte Carlo methods present a convenient approach for approximating the expected value of a random variable. Algorithms exist to adaptively sample the random variable until a user defined absolute error tolerance is…

Numerical Analysis · Mathematics 2023-11-14 Aleksei G. Sorokin , Jagadeeswaran Rathinavel

Estimating high-quality images while also quantifying their uncertainty are two desired features in an image reconstruction algorithm for solving ill-posed inverse problems. In this paper, we propose plug-and-play Monte Carlo (PMC) as a…

Image and Video Processing · Electrical Eng. & Systems 2024-08-29 Yu Sun , Zihui Wu , Yifan Chen , Berthy T. Feng , Katherine L. Bouman

We spell out the paradigm of exact conditioning as an intuitive and powerful way of conditioning on observations in probabilistic programs. This is contrasted with likelihood-based scoring known from languages such as Stan. We study exact…

Programming Languages · Computer Science 2023-12-29 Dario Stein , Sam Staton
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