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Inference metaprogramming enables effective probabilistic programming by supporting the decomposition of executions of probabilistic programs into subproblems and the deployment of hybrid probabilistic inference algorithms that apply…

Programming Languages · Computer Science 2019-07-16 Shivam Handa , Vikash Mansinghka , Martin Rinard

Likelihood-free inference refers to inference when a likelihood function cannot be explicitly evaluated, which is often the case for models based on simulators. Most of the literature is based on sample-based `Approximate Bayesian…

Machine Learning · Statistics 2018-11-22 Conor Durkan , George Papamakarios , Iain Murray

Many practical techniques for probabilistic inference require a sequence of distributions that interpolate between a tractable distribution and an intractable distribution of interest. Usually, the sequences used are simple, e.g., based on…

Artificial Intelligence · Computer Science 2015-09-11 Andreas Stuhlmüller , Robert X. D. Hawkins , N. Siddharth , Noah D. Goodman

Probabilistic inference is a fundamental task in modern machine learning. Recent advances in tensor network (TN) contraction algorithms have enabled the development of better exact inference methods. However, many common inference tasks in…

Machine Learning · Computer Science 2024-09-10 Martin Roa-Villescas , Xuanzhao Gao , Sander Stuijk , Henk Corporaal , Jin-Guo Liu

We present an exact Bayesian inference method for inferring posterior distributions encoded by probabilistic programs featuring possibly unbounded loops. Our method is built on a denotational semantics represented by probability generating…

Programming Languages · Computer Science 2024-03-06 Lutz Klinkenberg , Christian Blumenthal , Mingshuai Chen , Darion Haase , Joost-Pieter Katoen

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

Essential tasks for the verification of probabilistic programs include bounding expected outcomes and proving termination in finite expected runtime. We contribute a simple yet effective inductive synthesis approach for proving such…

Logic in Computer Science · Computer Science 2023-02-09 Kevin Batz , Mingshuai Chen , Sebastian Junges , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

Inference algorithms in probabilistic programming languages (PPLs) can be thought of as interpreters, since an inference algorithm traverses a model given evidence to answer a query. As with interpreters, we can improve the efficiency of…

Programming Languages · Computer Science 2016-04-19 Rohin Shah , Emina Torlak , Rastislav Bodik

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

Lifted inference exploits symmetries in probabilistic graphical models by using a representative for indistinguishable objects, thereby speeding up query answering while maintaining exact answers. Even though lifting is a well-established…

Artificial Intelligence · Computer Science 2024-03-18 Malte Luttermann , Mattis Hartwig , Tanya Braun , Ralf Möller , Marcel Gehrke

Using Answer Set Programming in an Inference-Based approach to Natural Language Semantics

Computation and Language · Computer Science 2007-05-23 Farid Nouioua , Pascal Nicolas

We show how the notion of message passing can be used to streamline the algebra and computer coding for fast approximate inference in large Bayesian semiparametric regression models. In particular, this approach is amenable to handling…

Methodology · Statistics 2016-04-07 M. P. Wand

Probabilistic programming is a rapidly developing programming paradigm which enables the formulation of Bayesian models as programs and the automation of posterior inference. It facilitates the development of models and conducting Bayesian…

Software Engineering · Computer Science 2025-10-31 Nathanael Nussbaumer , Markus Böck , Jürgen Cito

Probabilistic programming is perfectly suited to reliable and transparent data science, as it allows the user to specify their models in a high-level language without worrying about the complexities of how to fit the models. Static analysis…

Artificial Intelligence · Computer Science 2020-08-31 Ryan Bernstein , Matthijs Vákár , Jeannette Wing

This paper introduces a new technique for quantifying the approximation error of a broad class of probabilistic inference programs, including ones based on both variational and Monte Carlo approaches. The key idea is to derive a subjective…

Artificial Intelligence · Computer Science 2016-06-02 Marco F Cusumano-Towner , Vikash K Mansinghka

Logic programs, more specifically, Answer-set programs, can be annotated with probabilities on facts to express uncertainty. We address the problem of propagating weight annotations on facts (eg probabilities) of an ASP to its standard…

Logic in Computer Science · Computer Science 2025-03-31 Francisco Coelho , Bruno Dinis , Dietmar Seipel , Salvador Abreu

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

We show that the standard computational pipeline of probabilistic programming systems (PPSs) can be inefficient for estimating expectations and introduce the concept of expectation programming to address this. In expectation programming,…

Machine Learning · Computer Science 2022-06-22 Tim Reichelt , Adam Goliński , Luke Ong , Tom Rainforth

We present a technique to infer lower bounds on the worst-case runtime complexity of integer programs, where in contrast to earlier work, our approach is not restricted to tail-recursion. Our technique constructs symbolic representations of…

Logic in Computer Science · Computer Science 2020-09-29 Florian Frohn , Matthias Naaf , Marc Brockschmidt , Jürgen Giesl

Many tasks can be easily solved using machine learning techniques. However, some tasks cannot readily be solved using statistical models, requiring a symbolic approach instead. Program induction is one of the ways that such tasks can be…

Machine Learning · Computer Science 2024-02-13 Ahmad Ayaz Amin