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Probabilistic programming languages allow programmers to write down conditional probability distributions that represent statistical and machine learning models as programs that use observe statements. These programs are run by accumulating…

Programming Languages · Computer Science 2021-01-25 Jules Jacobs

Sensitivity properties describe how changes to the input of a program affect the output, typically by upper bounding the distance between the outputs of two runs by a monotone function of the distance between the corresponding inputs. When…

Logic in Computer Science · Computer Science 2020-08-11 Alejandro Aguirre , Gilles Barthe , Justin Hsu , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

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

While a mature body of work supports the study of rewriting systems, abstract tools for Probabilistic Rewriting are still limited. In this paper we study the question of uniqueness of the result (unique limit distribution), and develop a…

Logic in Computer Science · Computer Science 2023-06-22 Claudia Faggian

Static program analysis by abstract interpretation is an efficient method to determine properties of embedded software. One example is value analysis, which determines the values stored in the processor registers. Its results are used as…

Logic in Computer Science · Computer Science 2011-11-09 Reinhold Heckmann , Christian Ferdinand

The goal of regression analysis is to predict the value of a numeric outcome variable y given a vector of joint values of other (predictor) variables x. Usually a particular x-vector does not specify a repeatable value for y, but rather a…

Machine Learning · Statistics 2020-01-29 Jerome H. Friedman

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

Affective Computing is a rapidly growing field spurred by advancements in artificial intelligence, but often, held back by the inability to translate psychological theories of emotion into tractable computational models. To address this, we…

Artificial Intelligence · Computer Science 2020-08-03 Desmond C. Ong , Harold Soh , Jamil Zaki , Noah D. Goodman

In static analysis by abstract interpretation, one often uses widening operators in order to enforce convergence within finite time to an inductive invariant. Certain widening operators, including the classical one over finite polyhedra,…

Programming Languages · Computer Science 2011-09-13 David Monniaux , Julien Le Guen

We consider the problems of statically refuting equivalence and similarity of output distributions defined by a pair of probabilistic programs. Equivalence and similarity are two fundamental relational properties of probabilistic programs…

Programming Languages · Computer Science 2024-04-05 Krishnendu Chatterjee , Ehsan Kafshdar Goharshady , Petr Novotný , Đorđe Žikelić

Proving programs terminating is a fundamental computer science challenge. Recent research has produced powerful tools that can check a wide range of programs for termination. The analog for probabilistic programs, namely termination with…

Logic in Computer Science · Computer Science 2012-04-16 Javier Esparza , Andreas Gaiser , Stefan Kiefer

Probabilistic software analysis aims at quantifying the probability of a target event occurring during the execution of a program processing uncertain incoming data or written itself using probabilistic programming constructs. Recent…

Machine Learning · Computer Science 2021-06-21 Yicheng Luo , Antonio Filieri , Yuan Zhou

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

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

We present probabilistic neural programs, a framework for program induction that permits flexible specification of both a computational model and inference algorithm while simultaneously enabling the use of deep neural networks.…

Neural and Evolutionary Computing · Computer Science 2016-12-05 Kenton W. Murray , Jayant Krishnamurthy

We are concerned with the average case runtime complexity analysis of a prototypical imperative language endowed with primitives for sampling and probabilistic choice. Taking inspiration from known approaches from to the modular resource…

Programming Languages · Computer Science 2019-08-30 Martin Avanzini , Michael Schaper , Georg Moser

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…

Programming Languages · Computer Science 2024-06-19 Martin Kuhn , Joscha Grüger , Christoph Matheja , Andrey Rivkin

Implicit probabilistic models are models defined naturally in terms of a sampling procedure and often induces a likelihood function that cannot be expressed explicitly. We develop a simple method for estimating parameters in implicit models…

Machine Learning · Computer Science 2018-10-23 Ke Li , Jitendra Malik

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

We present a static analysis for discovering differentiable or more generally smooth parts of a given probabilistic program, and show how the analysis can be used to improve the pathwise gradient estimator, one of the most popular methods…

Programming Languages · Computer Science 2022-11-15 Wonyeol Lee , Xavier Rival , Hongseok Yang