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Probabilistic programming languages rely fundamentally on some notion of sampling, and this is doubly true for probabilistic programming languages which perform Bayesian inference using Monte Carlo techniques. Verifying samplers - proving…

Programming Languages · Computer Science 2023-04-27 Fredrik Dahlqvist , Alexandra Silva , William Smith

The generation of comprehensible explanations is an essential feature of modern artificial intelligence systems. In this work, we consider probabilistic logic programming, an extension of logic programming which can be useful to model…

Artificial Intelligence · Computer Science 2023-08-17 Germán Vidal

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

Application of the exact statistical inference frequently leads to a non-standard probability distributions of the considered estimators or test statistics. The exact distributions of many estimators and test statistics can be specified by…

Computation · Statistics 2018-01-09 Viktor Witkovský

The idea of computer vision as the Bayesian inverse problem to computer graphics has a long history and an appealing elegance, but it has proved difficult to directly implement. Instead, most vision tasks are approached via complex…

Artificial Intelligence · Computer Science 2013-07-02 Vikash K. Mansinghka , Tejas D. Kulkarni , Yura N. Perov , Joshua B. Tenenbaum

Automated planning is a major topic of research in artificial intelligence, and enjoys a long and distinguished history. The classical paradigm assumes a distinguished initial state, comprised of a set of facts, and is defined over a set of…

Artificial Intelligence · Computer Science 2018-01-26 Vaishak Belle

Weighted finite automata (WFA) are often used to represent probabilistic models, such as $n$-gram language models, since they are efficient for recognition tasks in time and space. The probabilistic source to be represented as a WFA,…

Computation and Language · Computer Science 2021-02-01 Ananda Theertha Suresh , Brian Roark , Michael Riley , Vlad Schogol

Spreadsheet workbook contents are simple programs. Because of this, probabilistic programming techniques can be used to perform Bayesian inversion of spreadsheet computations. What is more, existing execution engines in spreadsheet…

Artificial Intelligence · Computer Science 2016-06-15 Mike Wu , Yura Perov , Frank Wood , Hongseok Yang

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

This work offers a broad perspective on probabilistic modeling and inference in light of recent advances in probabilistic programming, in which models are formally expressed in Turing-complete programming languages. We consider a typical…

Machine Learning · Statistics 2020-04-20 Lawrence M. Murray , Thomas B. Schön

We propose a new formal language for the expressive representation of probabilistic knowledge based on Answer Set Programming (ASP). It allows for the annotation of first-order formulas as well as ASP rules and facts with probabilities and…

Artificial Intelligence · Computer Science 2014-05-06 Matthias Nickles , Alessandra Mileo

Probabilistic programming languages, which exist in abundance, are languages that allow users to calculate probability distributions defined by probabilistic programs, by using inference algorithms. However, the underlying inference…

Programming Languages · Computer Science 2026-01-15 Oliver Goldstein , Ohad Kammar

We present a meta-algorithm for learning a posterior-inference algorithm for restricted probabilistic programs. Our meta-algorithm takes a training set of probabilistic programs that describe models with observations, and attempts to learn…

Machine Learning · Computer Science 2021-12-28 Gwonsoo Che , Hongseok Yang

Computing the posterior distribution of a probabilistic program is a hard task for which no one-fit-for-all solution exists. We propose Gaussian Semantics, which approximates the exact probabilistic semantics of a bounded program by means…

Programming Languages · Computer Science 2023-11-15 Francesca Randone , Luca Bortolussi , Emilio Incerto , Mirco Tribastone

Recent advances in statistical inference have significantly expanded the toolbox of probabilistic modeling. Historically, probabilistic modeling has been constrained to (i) very restricted model classes where exact or approximate…

Machine Learning · Computer Science 2019-10-03 Andrés R. Masegosa , Rafael Cabañas , Helge Langseth , Thomas D. Nielsen , Antonio Salmerón

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

The EM-algorithm is a general procedure to get maximum likelihood estimates if part of the observations on the variables of a network are missing. In this paper a stochastic version of the algorithm is adapted to probabilistic neural…

Artificial Intelligence · Computer Science 2013-03-26 Gerhard Paass

The field of statistical relational learning aims at unifying logic and probability to reason and learn from data. Perhaps the most successful paradigm in the field is probabilistic logic programming: the enabling of stochastic primitives…

Machine Learning · Computer Science 2018-09-20 Stefanie Speichert , Vaishak Belle

Algorithms for exact and approximate inference in stochastic logic programs (SLPs) are presented, based respectively, on variable elimination and importance sampling. We then show how SLPs can be used to represent prior distributions for…

Artificial Intelligence · Computer Science 2013-01-18 James Cussens

Weighted automata over the nonnegative reals form a fundamental model for quantitative languages. We show that, up to scaling, this model collapses to probabilistic automata. Concretely, we prove that every weighted automaton whose…

Formal Languages and Automata Theory · Computer Science 2026-03-02 Smayan Agarwal , Aalok Thakkar