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We present a novel framework for embedding hard constraint satisfaction into neural network (NN) architectures, specifically feedforward neural networks and transformers, with input-dependent affine constraints of arbitrary cardinality.…

Machine Learning · Computer Science 2026-05-26 Yang Zhao , Jungeun Lee , Jeong hwan Jeon , Sze Zheng Yong

We present a time-optimal deterministic distributed algorithm for approximating a minimum weight vertex cover in hypergraphs of rank $f$. This problem is equivalent to the Minimum Weight Set Cover problem in which the frequency of every…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-31 Ran Ben-Basat , Guy Even , Ken-ichi Kawarabayashi , Gregory Schwartzman

The dynamics of quantum systems can be approximated by the time propagation of Gaussian wave packets. Applying a time dependent variational principle, the time evolution of the parameters of the coupled Gaussian wave packets can be…

Quantum Physics · Physics 2008-02-01 T. Fabcic , J. Main , G. Wunner

We consider the distributed weight balancing problem in networks of nodes that are interconnected via directed edges, each of which is able to admit a positive integer weight within a certain interval, captured by individual lower and upper…

Systems and Control · Electrical Eng. & Systems 2019-07-10 Apostolos I. Rikos , Christoforos N. Hadjicostis

The compact genetic algorithm (cGA) is an non-elitist estimation of distribution algorithm which has shown to be able to deal with difficult multimodal fitness landscapes that are hard to solve by elitist algorithms. In this paper, we…

Neural and Evolutionary Computing · Computer Science 2022-04-12 Frank Neumann , Dirk Sudholt , Carsten Witt

A convergent algorithm for nonnegative matrix factorization with orthogonality constraints imposed on both factors is proposed in this paper. This factorization concept was first introduced by Ding et al. with intent to further improve…

Machine Learning · Computer Science 2018-11-16 Andri Mirzal

We present a CLP(FD)-based constraint solver able to deal with unbounded domains. It is based on constraint propagation, resorting to enumeration if all other methods fail. An important aspect is detecting when enumeration was complete and…

Programming Languages · Computer Science 2017-01-04 Sebastian Krings , Michael Leuschel

Bounds consistency is usually enforced on continuous constraints by first decomposing them into binary and ternary primitives. This decomposition has long been shown to drastically slow down the computation of solutions. To tackle this,…

Artificial Intelligence · Computer Science 2007-05-23 Frederic Goualard , Laurent Granvilliers

Constraint programming is a family of techniques for solving combinatorial problems, where the problem is modelled as a set of decision variables (typically with finite domains) and a set of constraints that express relations among the…

Artificial Intelligence · Computer Science 2016-05-31 James Caldwell , Ian P. Gent , Peter Nightingale

This doctoral thesis concerns novel distributed algorithms for weight balancing over directed (communication) topologies. A directed topology (digraph) with nonnegative (or positive) weights assigned on each edge is weight-balanced if, for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-12 Apostolos I. Rikos

Bessiere et al. (AAAI'08) showed that several intractable global constraints can be efficiently propagated when certain natural problem parameters are small. In particular, the complete propagation of a global constraint is fixed-parameter…

Artificial Intelligence · Computer Science 2011-04-14 Serge Gaspers , Stefan Szeider

Weighted First-Order Model Counting (WFOMC) computes the weighted sum of the models of a first-order theory on a given finite domain. WFOMC has emerged as a fundamental tool for probabilistic inference. Algorithms for WFOMC that run in…

Artificial Intelligence · Computer Science 2021-05-31 Sagar Malhotra , Luciano Serafini

A scheme is presented for accurately propagating the gravitational field constraints in finite difference implementations of numerical relativity. The method is based on similar techniques used in astrophysical magnetohydrodynamics and…

Astrophysics · Physics 2009-11-10 David L. Meier

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

Based on the weighted and shifted Gr\"{u}nwald difference (WSGD) operators [24], we further construct the compact finite difference discretizations for the fractional operators. Then the discretization schemes are used to approximate the…

Numerical Analysis · Mathematics 2014-01-30 Han Zhou , WenYi Tian , Weihua Deng

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

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

Let G=(V,E) be a graph with f:V\to Z_+ a function assigning degree bounds to vertices. We present the first efficient algebraic algorithm to find an f-factor. The time is \tilde{O}(f(V)^{\omega}). More generally for graphs with integral…

Data Structures and Algorithms · Computer Science 2013-04-26 Harold N. Gabow , Piotr Sankowski

We present a time-optimal deterministic distributed algorithm for approximating a minimum weight vertex cover in hypergraphs of rank $f$. This problem is equivalent to the Minimum Weight Set Cover Problem in which the frequency of every…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-20 Ran Ben-Basat , Guy Even , Ken-ichi Kawarabayashi , Gregory Schwartzman

We come up with a class of distributed quantized averaging algorithms on asynchronous communication networks with fixed, switching and random topologies. The implementation of these algorithms is subject to the realistic constraint that the…

Optimization and Control · Mathematics 2010-02-12 Minghui Zhu , Sonia Martinez