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In probabilistic program analysis, quantitative analysis aims at deriving tight numerical bounds for probabilistic properties such as expectation and assertion probability. Most previous works consider numerical bounds over the whole…

Programming Languages · Computer Science 2026-01-06 Tengshun Yang , Shenghua Feng , Hongfei Fu , Naijun Zhan , Jingyu Ke , Shiyang Wu

Program slicing provides explanations that illustrate how program outputs were produced from inputs. We build on an approach introduced in prior work by Perera et al., where dynamic slicing was defined for pure higher-order functional…

Programming Languages · Computer Science 2017-09-12 Wilmer Ricciotti , Jan Stolarek , Roly Perera , James Cheney

This paper addresses two central problems for probabilistic processing models: parameter estimation from incomplete data and efficient retrieval of most probable analyses. These questions have been answered satisfactorily only for…

cmp-lg · Computer Science 2007-05-23 Stefan Riezler

We propose a novel distribution-free scheme to solve optimization problems where the goal is to minimize the expected value of a cost function subject to probabilistic constraints. Unlike standard sampling-based methods, our idea consists…

Optimization and Control · Mathematics 2025-05-28 Francesco Cordiano , Matin Jafarian , Bart De Schutter

This paper presents a new technique for data slicing of distributed programs running on a hierarchy of machines. Data slicing can be realized as a program transformation that partitions heaps of machines in a hierarchy into independent…

Programming Languages · Computer Science 2014-02-25 Mohamed A. El-Zawawy

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

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

Many probabilistic programming languages allow programs to be run under constraints in order to carry out Bayesian inference. Running programs under constraints could enable other uses such as rare event simulation and probabilistic…

Programming Languages · Computer Science 2015-01-19 Neil Toronto , Jay McCarthy , David Van Horn

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

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

Modern software relies on libraries and uses them via application programming interfaces (APIs). Correct API usage as well as many software engineering tasks are enabled when APIs have formal specifications. In this work, we analyze the…

Software Engineering · Computer Science 2019-05-17 John L. Singleton , Gary T. Leavens , Hridesh Rajan , David R. Cok

We study weighted programming, a programming paradigm for specifying mathematical models. More specifically, the weighted programs we investigate are like usual imperative programs with two additional features: (1) nondeterministic…

Programming Languages · Computer Science 2022-04-01 Kevin Batz , Adrian Gallus , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Tobias Winkler

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

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

The classical approach to system identification is based on stochastic assumptions about the measurement error, and provides estimates that have random nature. Worst-case identification, on the other hand, only assumes the knowledge of…

Systems and Control · Computer Science 2013-06-07 Fabrizio Dabbene , Mario Sznaier , Roberto Tempo

Program slicing has been mainly studied in the context of imperative languages, where it has been applied to a wide variety of software engineering tasks, like program understanding, maintenance, debugging, testing, code reuse, etc. This…

Programming Languages · Computer Science 2007-05-23 Josep Silva , Germán Vidal

We introduce the notion of a stochastic probabilistic program and present a reference implementation of a probabilistic programming facility supporting specification of stochastic probabilistic programs and inference in them. Stochastic…

Machine Learning · Statistics 2020-01-23 David Tolpin , Tomer Dobkin

Concurrent Constraint Programming (CCP) is a declarative model for concurrency where agents interact by telling and asking constraints (pieces of information) in a shared store. Some previous works have developed (approximated) declarative…

Logic in Computer Science · Computer Science 2017-02-13 Moreno Falaschi , Maurizio Gabbrielli , Carlos Olarte , Catuscia Palamidessi

Probabilistic programming languages (PPLs) are a powerful modeling tool, able to represent any computable probability distribution. Unfortunately, probabilistic program inference is often intractable, and existing PPLs mostly rely on…

Artificial Intelligence · Computer Science 2016-10-19 Daniel Ritchie , Paul Horsfall , Noah D. Goodman

Probabilistic programming languages (PPLs) are expressive means for creating and reasoning about probabilistic models. Unfortunately hybrid probabilistic programs, involving both continuous and discrete structures, are not well supported by…

Programming Languages · Computer Science 2024-06-25 Poorva Garg , Steven Holtzen , Guy Van den Broeck , Todd Millstein