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We develop operators for construction of proposals in probabilistic programs, which we refer to as inference combinators. Inference combinators define a grammar over importance samplers that compose primitive operations such as application…

Machine Learning · Statistics 2021-06-18 Sam Stites , Heiko Zimmermann , Hao Wu , Eli Sennesh , Jan-Willem van de Meent

Reliability sensitivity analysis is concerned with measuring the influence of a system's uncertain input parameters on its probability of failure. Statistically dependent inputs present a challenge in both computing and interpreting these…

Applications · Statistics 2023-06-21 Max Ehre , Iason Papaioannou , Daniel Straub

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

Recent formal approaches towards causality have made the concept ready for incorporation into the technical world. However, causality reasoning is computationally hard; and no general algorithmic approach exists that efficiently infers the…

Artificial Intelligence · Computer Science 2019-05-01 Amjad Ibrahim , Simon Rehwald , Alexander Pretschner

Boolean Satisfiability (SAT) solvers are now routinely used in the verification of large industrial problems. However, their application in safety-critical domains such as the railways, avionics, and automotive industries requires some form…

Logic in Computer Science · Computer Science 2009-12-17 Ashish Darbari , Bernd Fischer , Joao Marques-Silva

This article is concerned with the application of the program extraction technique to a new class of problems: the synthesis of decision procedures for the classical satisfiability problem that are correct by construction. To this end, we…

Logic in Computer Science · Computer Science 2015-07-01 Ulrich Berger , Andrew Lawrence , Fredrik Nordvall Forsberg , Monika Seisenberger

Probabilistic programs provide an expressive representation language for generative models. Given a probabilistic program, we are interested in the task of posterior inference: estimating a latent variable given a set of observed variables.…

Machine Learning · Computer Science 2022-09-01 Mike Wu , Noah Goodman

In the field of Business Process Management formal models for the control flow of business processes have been designed since more than 15 years. Which methods are best suited to verify the bulk of these models? The first step is to select…

Logic in Computer Science · Computer Science 2011-05-04 Christoph Schneider , Joachim Wehler

Dependency solving is a hard (NP-complete) problem in all non-trivial component models due to either mutually incompatible versions of the same packages or explicitly declared package conflicts. As such, software upgrade planning needs to…

Software Engineering · Computer Science 2020-11-17 Pietro Abate , Roberto Di Cosmo , Georgios Gousios , Stefano Zacchiroli

Ensuring that all supposedly valid configurations of a software product line (SPL) lead to well-formed and acceptable products is challenging since it is most of the time impractical to enumerate and test all individual products of an SPL.…

Machine Learning · Computer Science 2018-05-31 Paul Temple , Mathieu Acher , Battista Biggio , Jean-Marc Jézéquel , Fabio Roli

Constrained-random simulation is the predominant approach used in the industry for functional verification of complex digital designs. The effectiveness of this approach depends on two key factors: the quality of constraints used to…

Logic in Computer Science · Computer Science 2014-03-26 Supratik Chakraborty , Kuldeep S. Meel , Moshe Y. Vardi

We study the problem of conditional expectations in free random variables and provide closed formulas for the conditional expectation of resolvents of arbitrary non-commutative polynomials in free random variables onto the subalgebra of an…

Operator Algebras · Mathematics 2024-12-19 Franz Lehner , Kamil Szpojankowski

We tackle a common domain adaptation setting in causal systems. In this setting, the target variable is observed in the source domain but is entirely missing in the target domain. We aim to impute the target variable in the target domain…

Machine Learning · Computer Science 2026-01-09 Mohammad Ali Javidian

In this paper, we present a novel marriage of static and dynamic analysis. Given a large code base with many functions and a mature test suite, we propose using static analysis to find functions 1) with assertions or other evident…

Software Engineering · Computer Science 2016-09-22 Mohammad Amin Alipour , Alex Groce , Chaoqiang Zhang , Anahita Sanadaji , Gokul Caushik

On the one hand, Constraint Satisfaction Problems allow one to declaratively model problems. On the other hand, propositional satisfiability problem (SAT) solvers can handle huge SAT instances. We thus present a technique to declaratively…

Artificial Intelligence · Computer Science 2014-07-01 Frédéric Lardeux , Eric Monfroy , Broderick Crawford , Ricardo Soto

Much of statistics relies upon four key elements: a law of large numbers, a calculus to operationalize stochastic convergence, a central limit theorem, and a framework for constructing local approximations. These elements are…

Optimization and Control · Mathematics 2018-01-09 Anil Aswani

Backtracking search is a powerful algorithmic paradigm that can be used to solve many problems. It is in a certain sense the dual of variable elimination; but on many problems, e.g., SAT, it is vastly superior to variable elimination in…

Artificial Intelligence · Computer Science 2012-12-12 Fahiem Bacchus , Shannon Dalmao , Toniann Pitassi

Causal inference is the process of using assumptions, study designs, and estimation strategies to draw conclusions about the causal relationships between variables based on data. This allows researchers to better understand the underlying…

Machine Learning · Computer Science 2022-12-13 Anpeng Wu , Kun Kuang , Ruoxuan Xiong , Fei Wu

In this paper we bring together the areas of combinatorics and propositional satisfiability. Many combinatorial theorems establish, often constructively, the existence of positive integer functions, without actually providing their closed…

Logic in Computer Science · Computer Science 2007-05-23 Michael R. Dransfield , Victor W. Marek , Miroslaw Truszczynski

In linear inverse problems, we have data derived from a noisy linear transformation of some unknown parameters, and we wish to estimate these unknowns from the data. Separable inverse problems are a powerful generalization in which the…

Optimization and Control · Mathematics 2015-06-12 Paul Shearer , Anna C. Gilbert
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