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Generalized from the concept of consensus, this paper considers a group of edge agreements, i.e. constraints defined for neighboring agents, in which each pair of neighboring agents is required to satisfy one edge agreement constraint. Edge…

Optimization and Control · Mathematics 2023-12-04 Zehui Lu , Shaoshuai Mou

Previous work has suggested that the structural restrictions of graphs from classes of bounded expansion--locally dense pockets in a globally sparse graph--naturally coincide with common properties of real-world networks such as clustering…

Data Structures and Algorithms · Computer Science 2018-04-24 Michael P. O'Brien , Blair D. Sullivan

In this paper, we present event constraints as a new modeling paradigm that generalizes joint chance constraints from stochastic optimization to (1) enforce a constraint on the probability of satisfying a set of constraints aggregated via…

Optimization and Control · Mathematics 2025-01-14 Daniel Ovalle , Stefan Mazzadi , Carl D. Laird , Ignacio E. Grossmann , Joshua L. Pulsipher

The Distributed Constraint Optimization Problem (DCOP) formulation is a powerful tool to model multi-agent coordination problems that are distributed by nature. The formulation is suitable for problems where variables are discrete and…

Multiagent Systems · Computer Science 2020-05-28 Khoi D. Hoang , William Yeoh , Makoto Yokoo , Zinovi Rabinovich

Constraint propagation is one of the techniques central to the success of constraint programming. To reduce search, fast algorithms associated with each constraint prune the domains of variables. With global (or non-binary) constraints, the…

Artificial Intelligence · Computer Science 2009-03-09 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Toby Walsh

Sampling algorithms, hypergraph degree sequences, and polytopes play a crucial role in statistical analysis of network data. This article offers a brief overview of open problems in this area of discrete mathematics from the point of view…

Discrete Mathematics · Computer Science 2016-01-11 Sonja Petrović

A guiding principle for data reduction in statistical inference is the sufficiency principle. This paper extends the classical sufficiency principle to decentralized inference, i.e., data reduction needs to be achieved in a decentralized…

Information Theory · Computer Science 2015-06-16 Ge Xu , Shengyu Zhu , Biao Chen

The goal of this thesis is to study the compression problems arising in distributed computing systematically. In the first part of the thesis, we study gradient compression for distributed first-order optimization. We begin by establishing…

Information Theory · Computer Science 2023-01-12 Prathamesh Mayekar

In this paper, we consider contention resolution algorithms that are augmented with predictions about the network. We begin by studying the natural setup in which the algorithm is provided a distribution defined over the possible network…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-27 Seth Gilbert , Calvin Newport , Nitin Vaidya , Alex Weaver

Constraints on entropies are considered to be the laws of information theory. Even though the pursuit of their discovery has been a central theme of research in information theory, the algorithmic aspects of constraints on entropies remain…

Information Theory · Computer Science 2020-04-28 Mahmoud Abo Khamis , Phokion G. Kolaitis , Hung Q. Ngo , Dan Suciu

We propose AllDiffPrecedence, a new global constraint that combines together an AllDifferent constraint with precedence constraints that strictly order given pairs of variables. We identify a number of applications for this global…

Artificial Intelligence · Computer Science 2011-03-22 Christian Bessiere , Nina Narodytska , Claude-Guy Quimper , Toby Walsh

The chase algorithm is a fundamental tool for query evaluation and query containment under constraints, where the constraints are (sub-classes of) tuple-generating dependencies (TGDs) and equality generating depencies (EGDs). So far, most…

Logic in Computer Science · Computer Science 2013-11-19 Andrea Cali , Georg Gottlob , Michael Kifer

Numerical analysis has no satisfactory method for the more realistic optimization models. However, with constraint programming one can compute a cover for the solution set to arbitrarily close approximation. Because the use of constraint…

Numerical Analysis · Mathematics 2025-10-20 M. H. van Emden , B. Moa

Spreading information through a network of devices is a core activity for most distributed systems. As such, self-stabilizing algorithms implementing information spreading are one of the key building blocks enabling aggregate computing to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-23 Yuanqiu Mo , Soura Dasgupta , Jacob Beal

We investigate the data distribution valuation problem, which aims to quantify the values of data distributions from their samples. This is a recently proposed problem that is related to but different from classical data valuation and can…

Machine Learning · Computer Science 2026-04-08 Cuong N. Nguyen , Cuong V. Nguyen

Document clustering is an unsupervised approach in which a large collection of documents (corpus) is subdivided into smaller, meaningful, identifiable, and verifiable sub-groups (clusters). Meaningful representation of documents and…

Information Retrieval · Computer Science 2014-12-08 Muhammad Rafi , Farnaz Amin , Mohammad Shahid Shaikh

We introduce a new and increasingly relevant setting for distributed optimization in machine learning, where the data defining the optimization are distributed (unevenly) over an extremely large number of \nodes, but the goal remains to…

Machine Learning · Computer Science 2015-11-12 Jakub Konečný , Brendan McMahan , Daniel Ramage

As multicore computing is now standard, it seems irresponsible for constraints researchers to ignore the implications of it. Researchers need to address a number of issues to exploit parallelism, such as: investigating which constraint…

Artificial Intelligence · Computer Science 2018-03-30 Ian P. Gent , Ciaran McCreesh , Ian Miguel , Neil C. A. Moore , Peter Nightingale , Patrick Prosser , Chris Unsworth

In this paper, we revisit the communication vs. distributed computing trade-off, studied within the framework of MapReduce in [1]. An implicit assumption in the aforementioned work is that each server performs all possible computations on…

Information Theory · Computer Science 2017-05-26 Yahya H. Ezzeldin , Mohammed Karmoose , Christina Fragouli

The problem of unsupervised learning node embeddings in graphs is one of the important directions in modern network science. In this work we propose a novel framework, which is aimed to find embeddings by \textit{discriminating…

Machine Learning · Statistics 2020-01-24 Stanislav Tsepa , Maxim Panov
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