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We introduce the \emph{graphical reconfigurable circuits (GRC)} model as an abstraction for distributed graph algorithms whose communication scheme is based on local mechanisms that collectively construct long-range reconfigurable channels…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Yuval Emek , Yuval Gil , Noga Harlev

We propose a new family of constraints which combine together lexicographical ordering constraints for symmetry breaking with other common global constraints. We give a general purpose propagator for this family of constraints, and show how…

Artificial Intelligence · Computer Science 2009-03-04 George Katsirelos , Nina Narodytska , Toby Walsh

The paper suggests the use of Multi-Valued Decision Diagrams (MDDs) as the supporting data structure for a generic global constraint. We give an algorithm for maintaining generalized arc consistency (GAC) on this constraint that amortizes…

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

Inspired by the potential of improving tractability via gap- or above-guarantee parametrisations, we investigate the complexity of Dominating Set when given a suitable lower-bound witness. Concretely, we consider being provided with a…

Data Structures and Algorithms · Computer Science 2019-06-24 Carl Einarson , Felix Reidl

Selective Classification, wherein models can reject low-confidence predictions, promises reliable translation of machine-learning based classification systems to real-world scenarios such as clinical diagnostics. While current evaluation of…

We consider a common type of symmetry where we have a matrix of decision variables with interchangeable rows and columns. A simple and efficient method to deal with such row and column symmetry is to post symmetry breaking constraints like…

Artificial Intelligence · Computer Science 2012-04-18 George Katsirelos , Nina Narodytska , Toby Walsh

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

Model-driven software engineering is a suitable method for dealing with the ever-increasing complexity of software development processes. Graphs and graph transformations have proven useful for representing such models and changes to them.…

Software Engineering · Computer Science 2023-07-19 Alexander Lauer

A new computationally simple method of imposing hard convex constraints on the neural network output values is proposed. The key idea behind the method is to map a vector of hidden parameters of the network to a point that is guaranteed to…

Machine Learning · Computer Science 2023-07-21 Andrei V. Konstantinov , Lev V. Utkin

What is the minimal information that a robot must retain to achieve its task? To design economical robots, the literature dealing with reduction of combinatorial filters approaches this problem algorithmically. As lossless state compression…

Robotics · Computer Science 2024-10-15 Yulin Zhang , Dylan A. Shell

Arithmetic constraints on integer intervals are supported in many constraint programming systems. We study here a number of approaches to implement constraint propagation for these constraints. To describe them we introduce integer interval…

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

Neural message passing algorithms for semi-supervised classification on graphs have recently achieved great success. However, for classifying a node these methods only consider nodes that are a few propagation steps away and the size of…

Machine Learning · Computer Science 2022-04-06 Johannes Gasteiger , Aleksandar Bojchevski , Stephan Günnemann

In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general real circulant matrix ${\bf C}$ equals the modulus of its…

Functional Analysis · Mathematics 2018-04-25 Marko Lindner

In the Matrix approach to graph transformation we represent simple digraphs and rules with Boolean matrices and vectors, and the rewriting is expressed using Boolean operations only. In previous works, we developed analysis techniques…

Discrete Mathematics · Computer Science 2009-12-14 Pedro Pablo Perez Velasco

This paper considers the problem of matrix completion when some number of the columns are completely and arbitrarily corrupted, potentially by a malicious adversary. It is well-known that standard algorithms for matrix completion can return…

Machine Learning · Statistics 2016-04-26 Yudong Chen , Huan Xu , Constantine Caramanis , Sujay Sanghavi

We consider Stable Marriage with Covering Constraints (SMC): in this variant of Stable Marriage, we distinguish a subset of women as well as a subset of men, and we seek a matching with fewest number of blocking pairs that matches all of…

Data Structures and Algorithms · Computer Science 2019-10-08 Matthias Mnich , Ildikó Schlotter

The conditional gradient method (CGM) is widely used in large-scale sparse convex optimization, having a low per iteration computational cost for structured sparse regularizers and a greedy approach to collecting nonzeros. We explore the…

Optimization and Control · Mathematics 2021-07-05 Yifan Sun , Francis Bach

The problem of extracting a well conditioned submatrix from any rectangular matrix (with normalized columns) has been studied for some time in functional and harmonic analysis; see…

Functional Analysis · Mathematics 2016-12-07 Stephane Chretien , Sebastien Darses

We study the discrete dynamical system obtained by repeatedly applying the Pearson correlation operator to a real matrix. Each step centers every row, normalizes each centered row to unit Euclidean norm, and forms the Gram matrix of the…

Dynamical Systems · Mathematics 2026-01-21 Ishrak Alhajj Hassan

Predictive Coding Networks (PCNs) aim to learn a generative model of the world. Given observations, this generative model can then be inverted to infer the causes of those observations. However, when training PCNs, a noticeable pathology is…

Artificial Intelligence · Computer Science 2022-09-02 Paul F Kinghorn , Beren Millidge , Christopher L Buckley
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