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We study provably correct and efficient instantiations of Sequential Monte Carlo (SMC) inference in the context of formal operational semantics of Probabilistic Programs (PPs). We focus on universal PPs featuring sampling from arbitrary…

编程语言 · 计算机科学 2025-09-18 Michele Boreale , Luisa Collodi

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…

编程语言 · 计算机科学 2023-05-04 Daniel Lundén , Johannes Borgström , David Broman

Particle filter (PF) sequential Monte Carlo (SMC) methods are very attractive for the estimation of parameters of time dependent systems where the data is either not all available at once, or the range of time constants is wide enough to…

统计计算 · 统计学 2019-11-25 Andrea Arnold , Daniela Calvetti , Erkki Somersalo

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…

机器学习 · 统计学 2019-01-09 Fredrik Lindsten , Jouni Helske , Matti Vihola

We propose a new framework for how to use sequential Monte Carlo (SMC) algorithms for inference in probabilistic graphical models (PGM). Via a sequential decomposition of the PGM we find a sequence of auxiliary distributions defined on a…

统计方法学 · 统计学 2014-10-07 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

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…

机器学习 · 计算机科学 2022-11-03 Carol Mak , Fabian Zaiser , Luke Ong

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…

人工智能 · 计算机科学 2014-07-11 Brooks Paige , Frank Wood

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…

机器学习 · 统计学 2015-07-10 Frank Wood , Jan Willem van de Meent , Vikash Mansinghka

Optimal decision-making under partial observability requires agents to balance reducing uncertainty (exploration) against pursuing immediate objectives (exploitation). In this paper, we introduce a novel policy optimization framework for…

机器学习 · 计算机科学 2025-12-05 Hany Abdulsamad , Sahel Iqbal , Simo Särkkä

Inference-time methods that aggregate and prune multiple samples have emerged as a powerful paradigm for steering large language models, yet we lack any principled understanding of their accuracy-cost tradeoffs. In this paper, we introduce…

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…

形式语言与自动机理论 · 计算机科学 2025-12-16 Dominik Geißler , Tobias Winkler

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…

统计计算 · 统计学 2019-08-07 Jonathan Law , Darren Wilkinson

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…

图像与视频处理 · 电气工程与系统科学 2024-08-29 Yu Sun , Zihui Wu , Yifan Chen , Berthy T. Feng , Katherine L. Bouman

We develop the operational semantics of an untyped probabilistic lambda-calculus with continuous distributions, as a foundation for universal probabilistic programming languages such as Church, Anglican, and Venture. Our first contribution…

编程语言 · 计算机科学 2017-01-24 Johannes Borgström , Ugo Dal Lago , Andrew D. Gordon , Marcin Szymczak

Probabilistic programming languages (PPLs) allow users to encode arbitrary inference problems, and PPL implementations provide general-purpose automatic inference for these problems. However, constructing inference implementations that are…

编程语言 · 计算机科学 2023-05-04 Daniel Lundén , Joey Öhman , Jan Kudlicka , Viktor Senderov , Fredrik Ronquist , David Broman

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…

编程语言 · 计算机科学 2024-06-19 Martin Kuhn , Joscha Grüger , Christoph Matheja , Andrey Rivkin

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…

编程语言 · 计算机科学 2024-04-08 Daniel Lundén , Lars Hummelgren , Jan Kudlicka , Oscar Eriksson , David Broman

Probabilistic power flow (PPF) is essential for quantifying operational uncertainty in modern distribution systems with high penetration of renewable generation and flexible loads. Conventional PPF methods primarily rely on Monte Carlo (MC)…

系统与控制 · 电气工程与系统科学 2026-04-02 Weijie Xia , James Ciyu Qin , Edgar Mauricio Salazar Duque , Hongjin Du , Peter Palensky , Giovanni Sansavini , Pedro P. Vergara

This paper presents a simulation-based framework for sequential inference from partially and discretely observed point process (PP's) models with static parameters. Taking on a Bayesian perspective for the static parameters, we build upon…

统计方法学 · 统计学 2012-01-24 James S. Martin , Ajay Jasra , Emma McCoy

We lay out novel foundations for the computer-aided verification of guaranteed bounds on expected outcomes of imperative probabilistic programs featuring (i) general loops, (ii) continuous distributions, and (iii) conditioning. To handle…

计算机科学中的逻辑 · 计算机科学 2025-02-27 Kevin Batz , Joost-Pieter Katoen , Francesca Randone , Tobias Winkler
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