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We provide here a simple, yet very general framework that allows us to explain several constraint propagation algorithms in a systematic way. In particular, using the notions commutativity and semi-commutativity, we show how the well-known…

Artificial Intelligence · Computer Science 2007-05-23 Krzysztof R. Apt

We discuss here constraint programming (CP) by using a proof-theoretic perspective. To this end we identify three levels of abstraction. Each level sheds light on the essence of CP. In particular, the highest level allows us to bring CP…

Programming Languages · Computer Science 2007-05-23 Krzysztof R. Apt

Search is a key service within constraint programming systems, and it demands the restoration of previously accessed states during the exploration of a search tree. Restoration proceeds either bottom-up within the tree to roll back…

Programming Languages · Computer Science 2016-02-05 Yong Lin , Martin Henz

Distributed computing frameworks such as MapReduce and Spark are often used to process large-scale data computing jobs. In wireless scenarios, exchanging data among distributed nodes would seriously suffer from the communication bottleneck…

Information Theory · Computer Science 2023-10-25 Youlong Wu , Zhenhao Huang , Kai Yuan , Shuai Ma , Yue Bi

Clinical machine learning applications are often plagued with confounders that are clinically irrelevant, but can still artificially boost the predictive performance of the algorithms. Confounding is especially problematic in mobile health…

Applications · Statistics 2018-11-29 Elias Chaibub Neto

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

Floating-point computations are quickly finding their way in the design of safety- and mission-critical systems, despite the fact that designing floating-point algorithms is significantly more difficult than designing integer algorithms.…

Artificial Intelligence · Computer Science 2015-08-03 Roberto Bagnara , Matthieu Carlier , Roberta Gori , Arnaud Gotlieb

Coded computation techniques provide robustness against straggling workers in distributed computing. However, most of the existing schemes require exact provisioning of the straggling behaviour and ignore the computations carried out by…

Information Theory · Computer Science 2021-12-07 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

Constraint programming is a general and exact method based on constraint propagation and backtracking search. We provide a function decomposing a constraint network into a ternary constraint network (TCN) with a reduced number of operators.…

Symbolic Computation · Computer Science 2025-11-18 Pierre Talbot

We study decompositions of the global NVALUE constraint. Our main contribution is theoretical: we show that there are propagators for global constraints like NVALUE which decomposition can simulate with the same time complexity but with a…

Artificial Intelligence · Computer Science 2010-07-06 Christian Bessiere , George Katsirelos , Nina Narodytska , Claude-Guy Quimper , Toby Walsh

We study the susceptibility propagation, a message-passing algorithm to compute correlation functions. It is applied to constraint satisfaction problems and its accuracy is examined. As a heuristic method to find a satisfying assignment, we…

Disordered Systems and Neural Networks · Physics 2010-07-29 Saburo Higuchi , Marc Mézard

Expectation propagation is a general approach to fast approximate inference for graphical models. The existing literature treats models separately when it comes to deriving and coding expectation propagation inference algorithms. This comes…

Methodology · Statistics 2018-01-17 Wilson Y. Chen , Matt P. Wand

We describe decomposition during search (DDS), an integration of And/Or tree search into propagation-based constraint solvers. The presented search algorithm dynamically decomposes sub-problems of a constraint satisfaction problem into…

Artificial Intelligence · Computer Science 2008-06-11 Martin Mann , Guido Tack , Sebastian Will

Propagation of linear constraints has become a crucial sub-routine in modern Mixed-Integer Programming (MIP) solvers. In practice, iterative algorithms with tolerance-based stopping criteria are used to avoid problems with slow or infinite…

Optimization and Control · Mathematics 2021-08-25 Boro Sofranac , Ambros Gleixner , Sebastian Pokutta

Constraint programming (CP) has been used with great success to tackle a wide variety of constraint satisfaction problems which are computationally intractable in general. Global constraints are one of the important factors behind the…

Artificial Intelligence · Computer Science 2009-03-04 Alan Frisch , Brahim Hnich , Zeynep Kiziltan , Ian Miguel , Toby Walsh

Influence propagation has been the subject of extensive study due to its important role in social networks, epidemiology, and many other areas. Understanding propagation mechanisms is critical to control the spread of fake news or…

Optimization and Control · Mathematics 2022-09-28 Vinicius Ferreira , Artur Pessoa , Thibaut Vidal

Cumulative resource constraints can model scarce resources in scheduling problems or a dimension in packing and cutting problems. In order to efficiently solve such problems with a constraint programming solver, it is important to have…

Artificial Intelligence · Computer Science 2012-09-11 Andreas Schutt , Thibaut Feydy , Peter J. Stuckey

Historically, scalability has been a major challenge to the successful application of semidefinite programming in fields such as machine learning, control, and robotics. In this paper, we survey recent approaches for addressing this…

Optimization and Control · Mathematics 2019-12-18 Anirudha Majumdar , Georgina Hall , Amir Ali Ahmadi

A widely adopted approach to solving constraint satisfaction problems combines systematic tree search with constraint propagation for pruning the search space. Constraint propagation is performed by propagators implementing a certain notion…

Artificial Intelligence · Computer Science 2007-05-23 Chiu Wo Choi , Warwick Harvey , Jimmy Ho-Man Lee , Peter J. Stuckey

Survey Propagation is an algorithm designed for solving typical instances of random constraint satisfiability problems. It has been successfully tested on random 3-SAT and random $G(n,\frac{c}{n})$ graph 3-coloring, in the hard region of…

Disordered Systems and Neural Networks · Physics 2010-04-02 A. Braunstein , M. Mezard , M. Weigt , R. Zecchina