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The paper presents complexity results and performance guaranties for a family of approximation algorithms for an optimisation problem arising in software testing and manufacturing. The problem is formulated as a partitioning of a set where…

Data Structures and Algorithms · Computer Science 2022-12-13 Yakov Zinder , Bertrand M. T. Lin , Joanna Berlińska

Matching algorithms are used routinely to match donors to recipients for solid organs transplantation, for the assignment of medical residents to hospitals, record linkage in databases, scheduling jobs on machines, network switching, online…

Data Structures and Algorithms · Computer Science 2020-01-09 David García-Soriano , Francesco Bonchi

This paper addresses weight optimization problem in distributed consensus averaging algorithm over networks with symmetric star topology. We have determined optimal weights and convergence rate of the network in terms of its topological…

Information Theory · Computer Science 2011-07-29 Saber Jafarizadeh , Abbas Jamalipour

This work proposes a conformable fractional predictor-corrector algorithm for solving conformable fractional differential equations. Fractional calculus is finding applications in various scientific fields, but existing numerical methods…

Numerical Analysis · Mathematics 2024-06-25 Mohamed Echchehira , Youness Assebbane , Mustapha Atraoui , Mohamed Bouaouid

We study the problem of estimating precision matrices in Gaussian distributions that are multivariate totally positive of order two ($\mathrm{MTP}_2$). The precision matrix in such a distribution is an M-matrix. This problem can be…

Machine Learning · Computer Science 2023-10-24 Jian-Feng Cai , José Vinícius de M. Cardoso , Daniel P. Palomar , Jiaxi Ying

A distributed adaptive algorithm is proposed to solve a node-specific parameter estimation problem where nodes are interested in estimating parameters of local interest, parameters of common interest to a subset of nodes and parameters of…

Computers and Society · Computer Science 2023-07-19 Jorge Plata-Chaves , Nikola Bogdanovic , Kostas Berberidis

This work presents an optimally-competitive algorithm for the problem of maximum weighted online perfect bipartite matching with i.i.d. arrivals. In this problem, we are given a known set of workers, a distribution over job types, and…

Data Structures and Algorithms · Computer Science 2019-06-03 Minjun Chang , Dorit S. Hochbaum , Quico Spaen , Mark Velednitsky

In this short paper, we present an improved algorithm for approximating the minimum cut on distributed (CONGEST) networks. Let $\lambda$ be the minimum cut. Our algorithm can compute $\lambda$ exactly in…

Data Structures and Algorithms · Computer Science 2014-05-16 Danupon Nanongkai

Distributed parameter estimation for large-scale systems is an active research problem. The goal is to derive a distributed algorithm in which each agent obtains a local estimate of its own subset of the global parameter vector, based on…

Multiagent Systems · Computer Science 2018-06-26 Tianju Sui , Damián Marelli , Minyue Fu , Renquan Lu

This manuscript discusses computation of the Partition Function (PF) and the Minimum Weight Perfect Matching (MWPM) on arbitrary, non-bipartite graphs. We present two novel problem formulations - one for computing the PF of a Perfect…

Statistical Mechanics · Physics 2015-06-16 Michael Chertkov , Andrew Gelfand , Jinwoo Shin

There is a great need for improved statistical sampling in a range of physical, chemical and biological systems. Even simulations based on correct algorithms suffer from statistical error, which can be substantial or even dominant when slow…

Computational Physics · Physics 2007-11-09 F. Marty Ytreberg , Daniel M. Zuckerman

Topological quantum computing is an alternative framework for avoiding the quantum decoherence problem in quantum computation. The problem of executing a gate in this framework can be posed as the problem of braiding quasiparticles. Because…

Quantum Physics · Physics 2014-12-10 Roberto Santana , Ross B. McDonald , Helmut G. Katzgraber

We consider the estimation of Dirichlet Process Mixture Models (DPMMs) in distributed environments, where data are distributed across multiple computing nodes. A key advantage of Bayesian nonparametric models such as DPMMs is that they…

Machine Learning · Statistics 2017-09-20 Ruohui Wang , Dahua Lin

This paper aims to address distributed optimization problems over directed and time-varying networks, where the global objective function consists of a sum of locally accessible convex objective functions subject to a feasible set…

Optimization and Control · Mathematics 2020-07-14 Xiuxian Li , Gang Feng , Lihua Xie

This paper proposes distributed algorithms for solving linear equations to seek a least square solution via multi-agent networks. We consider that each agent has only access to a small and imcomplete block of linear equations rather than…

Numerical Analysis · Mathematics 2021-05-20 Yi Huang , Ziyang Meng

Adaptive networks are suitable for decentralized inference tasks, e.g., to monitor complex natural phenomena. Recent research works have intensively studied distributed optimization problems in the case where the nodes have to estimate a…

Multiagent Systems · Computer Science 2023-07-19 Jie Chen , Cédric Richard , Ali. H. Sayed

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

Machine Learning · Computer Science 2012-07-03 Qiang Liu , Alexander Ihler

We propose a novel algorithm for solving convex, constrained and distributed optimization problems defined on multi-agent-networks, where each agent has exclusive access to a part of the global objective function. The agents are able to…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

Simon's problem is one of the most important problems demonstrating the power of quantum algorithms, as it greatly inspired the proposal of Shor's algorithm. The generalized Simon's problem is a natural extension of Simon's problem, and…

Quantum Physics · Physics 2023-07-27 Hao Li , Daowen Qiu , Le Luo , Mateus Paulo

In this paper we present \textsc{DUDDSketch}, a distributed version of the \textsc{UDDSketch} algorithm for accurate tracking of quantiles. The algorithm is a fully decentralized, gossip-based distributed protocol working in the context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-24 Marco Pulimeno , Italo Epicoco , Massimo Cafaro