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Probabilistic programming is a powerful abstraction for statistical machine learning. Applying static analysis methods to probabilistic programs could serve to optimize the learning process, automatically verify properties of models, and…

Programming Languages · Computer Science 2019-09-12 Ryan Bernstein

Probabilistic programming makes it easy to represent a probabilistic model as a program. Building an individual model, however, is only one step of probabilistic modeling. The broader challenge of probabilistic modeling is in understanding…

Programming Languages · Computer Science 2022-08-15 Ryan Bernstein

The aim of a probabilistic output analysis is to derive a probability distribution of possible output values for a program from a probability distribution of its input. We present a method for performing static output analysis, based on…

Programming Languages · Computer Science 2015-09-30 Mads Rosendahl , Maja H. Kirkeby

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

Probabilistic programming methods have revolutionised Bayesian inference, making it easier than ever for practitioners to perform Markov-chain-Monte-Carlo sampling from non-conjugate posterior distributions. Here we focus on Stan, arguably…

Computation · Statistics 2025-02-10 Clemens Pichler , Jack Jewson , Alejandra Avalos-Pacheco

Probabilistic programming has emerged as a powerful paradigm in statistics, applied science, and machine learning: by decoupling modelling from inference, it promises to allow modellers to directly reason about the processes generating…

Machine Learning · Statistics 2019-06-10 Maria I. Gorinova , Dave Moore , Matthew D. Hoffman

It is commonly known that any Bayesian network can be implemented as a probabilistic program, but the reverse direction is not so clear. In this work, we address the open question to what extent a probabilistic program with user-labelled…

Programming Languages · Computer Science 2025-08-29 Markus Böck , Jürgen Cito

Programs that process data that reside in files are widely used in varied domains, such as banking, healthcare, and web-traffic analysis. Precise static analysis of these programs in the context of software verification and transformation…

Programming Languages · Computer Science 2015-04-06 Raveendra Kumar Medicherla , Raghavan Komondoor , S. Narendran

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…

Formal Languages and Automata Theory · Computer Science 2025-12-16 Dominik Geißler , Tobias Winkler

Stan is a probabilistic programming language that has been increasingly used for real-world scalable projects. However, to make practical inference possible, the language sacrifices some of its usability by adopting a block syntax, which…

Programming Languages · Computer Science 2019-04-02 Maria I. Gorinova , Andrew D. Gordon , Charles Sutton

Software Engineering and the implementation of software has become a challenging task as many tools, frameworks and languages must be orchestrated into one functioning piece. This complexity increases the need for testing and analysis…

Software Engineering · Computer Science 2018-06-27 Hannes Thaller

Probabilistic programming has become a standard practice to model stochastic events and learn about the behavior of nature in different scientific contexts, ranging from Genetics and Ecology to Linguistics and Psychology. However, domain…

Programming Languages · Computer Science 2025-07-10 Guilherme Espada , Alcides Fonseca

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

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

Probabilistic program analysis aims to quantify the probability that a given program satisfies a required property. It has many potential applications, from program understanding and debugging to computing program reliability, compiler…

Programming Languages · Computer Science 2017-09-08 Aleksandar S. Dimovski

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

In this paper we investigate the applicability of standard model checking approaches to verifying properties in probabilistic programming. As the operational model for a standard probabilistic program is a potentially infinite parametric…

Programming Languages · Computer Science 2016-07-28 Nils Jansen , Christian Dehnert , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Lukas Westhofen

Model counting is the problem of computing the number of models that satisfy a given propositional theory. It has recently been applied to solving inference tasks in probabilistic logic programming, where the goal is to compute the…

Artificial Intelligence · Computer Science 2014-11-21 Rehan Abdul Aziz , Geoffrey Chu , Christian Muise , Peter Stuckey

Probabilistic model checking is an approach to the formal modelling and analysis of stochastic systems. Over the past twenty five years, the number of different formalisms and techniques developed in this field has grown considerably, as…

Logic in Computer Science · Computer Science 2025-09-17 Marta Kwiatkowska , Gethin Norman , David Parker

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
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