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Soft-constraint affinity propagation (SCAP) is a new statistical-physics based clustering technique. First we give the derivation of a simplified version of the algorithm and discuss possibilities of time- and memory-efficient…

Data Analysis, Statistics and Probability · Physics 2008-10-20 Michele Leone , Sumedha , Martin Weigt

We study propagation of the RegularGcc global constraint. This ensures that each row of a matrix of decision variables satisfies a Regular constraint, and each column satisfies a Gcc constraint. On the negative side, we prove that…

Artificial Intelligence · Computer Science 2016-11-26 Ronald de Haan , Nina Narodytska , Toby Walsh

Propagators are central to the success of constraint programming, that is contracting functions removing values proven not to be in any solution of a given constraint. The literature contains numerous propagation algorithms, for many…

Artificial Intelligence · Computer Science 2020-07-13 Mikael Zayenz Lagerkvist , Magnus Rattfeldt

Parity constraints, common in application domains such as circuit verification, bounded model checking, and logical cryptanalysis, are not necessarily most efficiently solved if translated into conjunctive normal form. Thus, specialized…

Logic in Computer Science · Computer Science 2014-06-19 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

In Constraint Programming, solving discrete minimization problems with hard and soft constraints can be done either using (i) soft global constraints, (ii) a reformulation into a linear program, or (iii) a reformulation into local cost…

Artificial Intelligence · Computer Science 2025-09-24 Pierre Montalbano , Simon de Givry , George Katsirelos

We show that global constraints on finite domains like all-different can be reformulated into answer set programs on which we achieve arc, bound or range consistency. These reformulations offer a number of other advantages beyond providing…

Logic in Computer Science · Computer Science 2010-08-31 Christian Drescher , Toby Walsh

Constraint Programming (CP) has been successfully applied to both constraint satisfaction and constraint optimization problems. A wide variety of specialized global constraints provide critical assistance in achieving a good model that can…

Artificial Intelligence · Computer Science 2007-05-23 Peter Tiedemann , Henrik Reif Andersen , Rasmus Pagh

We propose Range and Roots which are two common patterns useful for specifying a wide range of counting and occurrence constraints. We design specialised propagation algorithms for these two patterns. Counting and occurrence constraints…

Artificial Intelligence · Computer Science 2009-03-03 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Zeynep Kiziltan , Toby Walsh

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

This paper presents a novel pairwise constraint propagation approach by decomposing the challenging constraint propagation problem into a set of independent semi-supervised learning subproblems which can be solved in quadratic time using…

Artificial Intelligence · Computer Science 2015-03-19 Zhiwu Lu , Horace H. S. Ip , Yuxin Peng

This paper discusses distributed approaches for the solution of random convex programs (RCP). RCPs are convex optimization problems with a (usually large) number N of randomly extracted constraints; they arise in several applicative areas,…

Optimization and Control · Mathematics 2012-07-27 Luca Carlone , Vaibhav Srivastava , Francesco Bullo , Giuseppe Calafiore

A wide range of constraints can be compactly specified using automata or formal languages. In a sequence of recent papers, we have shown that an effective means to reason with such specifications is to decompose them into primitive…

Artificial Intelligence · Computer Science 2009-03-04 Claude-Guy Quimper , Toby Walsh

The existence of errors or inconsistencies in the configuration of security components, such as filtering routers and/or firewalls, may lead to weak access control policies -- potentially easy to be evaded by unauthorized parties. We…

Cryptography and Security · Computer Science 2008-12-18 Joaquin Garcia-Alfaro , Frederic Cuppens , Nora Cuppens-Boulahia

We show that tools from circuit complexity can be used to study decompositions of global constraints. In particular, we study decompositions of global constraints into conjunctive normal form with the property that unit propagation on the…

Artificial Intelligence · Computer Science 2009-05-26 Christian Bessiere , George Katsirelos , Nina Narodytska , Toby Walsh

We propose and study a new class of gradient communication mechanisms for communication-efficient training -- three point compressors (3PC) -- as well as efficient distributed nonconvex optimization algorithms that can take advantage of…

Machine Learning · Computer Science 2022-02-03 Peter Richtárik , Igor Sokolov , Ilyas Fatkhullin , Elnur Gasanov , Zhize Li , Eduard Gorbunov

We consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

Optimization and Control · Mathematics 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada

Every distributed system -- databases, networks, postal services, CPU caches -- is a message-passing system. Every message-passing system is a growing causal log observed by a set of observers. We present Light Cone Consistency (LCC), a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Rob Landers , Kaben Kramer

We propose a divide-and-conquer (DAC) algorithm for constrained convex optimization over networks, where the global objective is the sum of local objectives attached to individual agents. The algorithm is fully distributed: each iteration…

Optimization and Control · Mathematics 2025-10-03 Nazar Emirov , Guohui Song , Qiyu Sun

This work examines adaptive distributed learning strategies designed to operate under communication constraints. We consider a network of agents that must solve an online optimization problem from continual observation of streaming data.…

Machine Learning · Computer Science 2025-04-25 Marco Carpentiero , Vincenzo Matta , Ali H. Sayed

Combinatorial problems stated as Constraint Satisfaction Problems (CSP) are examined. It is shown by example that any algorithm designed for the original CSP, and involving the AllDifferent constraint, has at least the same level of…

Artificial Intelligence · Computer Science 2020-12-15 Geoff Harris