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In this work, a graph partitioning problem in a fixed number of connected components is considered. Given an undirected graph with costs on the edges, the problem consists of partitioning the set of nodes into a fixed number of subsets with…

Optimization and Control · Mathematics 2024-11-12 Mishelle Cordero , Andrés Miniguano-Trujillo , Diego Recalde , Ramiro Torres , Polo Vaca

We consider a distributed function computation problem in which parties observing noisy versions of a remote source facilitate the computation of a function of their observations at a fusion center through public communication. The…

Information Theory · Computer Science 2022-03-30 Onur Günlü , Matthieu Bloch , Rafael F. Schaefer

In many distributed learning problems, the heterogeneous loading of computing machines may harm the overall performance of synchronous strategies. In this paper, we propose an effective asynchronous distributed framework for the…

Machine Learning · Statistics 2017-05-23 Bikash Joshi , Franck Iutzeler , Massih-Reza Amini

We study a fading linear finite-field relay network having multiple source-destination pairs. Because of the interference created by different unicast sessions, the problem of finding its capacity region is in general difficult. We observe…

Information Theory · Computer Science 2009-05-12 Sang-Woon Jeon , Sae-Young Chung

A sum-network is an instance of a network coding problem over a directed acyclic network in which each terminal node wants to compute the sum over a finite field of the information observed at all the source nodes. Many characteristics of…

Information Theory · Computer Science 2018-01-30 Ardhendu Tripathy , Aditya Ramamoorthy

The distributed optimization problem is set up in a collection of nodes interconnected via a communication network. The goal is to find the minimizer of a global objective function formed by the addition of partial functions locally known…

Optimization and Control · Mathematics 2022-06-07 Damián Marelli , Yong Xu , Minyue Fu , Zenghong Huang

We present methods to compute least fixed points of multiple monotone inflationary functions in parallel and distributed settings. While the classic Knaster-Tarski theorem addresses a single function with sequential iteration, modern…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-12 Vijay K. Garg , Rohan Garg

We develop a framework for the distributed minimization of submodular functions. Submodular functions are a discrete analog of convex functions and are extensively used in large-scale combinatorial optimization problems. While there has…

Optimization and Control · Mathematics 2018-01-23 Hassan Jaleel , Jeff Shamma

Submodularity is a fundamental phenomenon in combinatorial optimization. Submodular functions occur in a variety of combinatorial settings such as coverage problems, cut problems, welfare maximization, and many more. Therefore, a lot of…

Data Structures and Algorithms · Computer Science 2011-11-08 Shaddin Dughmi

We consider the problem of estimation of a function by a system consisting of two agents and a fusion center. The two agents collect data comprising of samples of an independent variable and the corresponding value of a dependent variable.…

Systems and Control · Electrical Eng. & Systems 2024-03-18 Aneesh Raghavan , Karl Henrik Johansson

In this work, we propose a distributed rate allocation algorithm that minimizes the average decoding delay for multimedia clients in inter-session network coding systems. We consider a scenario where the users are organized in a mesh…

Networking and Internet Architecture · Computer Science 2016-11-17 Eirina Bourtsoulatze , Nikolaos Thomos , Pascal Frossard

In this paper we consider a network with $P$ nodes, where each node has exclusive access to a local cost function. Our contribution is a communication-efficient distributed algorithm that finds a vector $x^\star$ minimizing the sum of all…

Optimization and Control · Mathematics 2016-11-15 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Solving symmetric positive definite linear problems is a fundamental computational task in machine learning. The exact solution, famously, is cubicly expensive in the size of the matrix. To alleviate this problem, several linear-time…

Machine Learning · Computer Science 2017-06-02 Filip de Roos , Philipp Hennig

We consider decentralized optimization problems in which a number of agents collaborate to minimize the average of their local functions by exchanging over an underlying communication graph. Specifically, we place ourselves in an…

Optimization and Control · Mathematics 2023-03-20 Yu-Guan Hsieh , Yassine Laguel , Franck Iutzeler , Jérôme Malick

This study intends to introduce kernel mean embedding of probability measures over infinite-dimensional separable Hilbert spaces induced by functional response statistical models. The embedded function represents the concentration of…

Statistics Theory · Mathematics 2020-11-05 Saeed Hayati , Kenji Fukumizu , Afshin Parvardeh

We consider a multi-agent network where each node has a stochastic (local) cost function that depends on the decision variable of that node and a random variable, and further the decision variables of neighboring nodes are pairwise…

Optimization and Control · Mathematics 2021-12-24 Navjot Singh , Xuanyu Cao , Suhas Diggavi , Tamer Basar

We resolve the min-max complexity of distributed stochastic convex optimization (up to a log factor) in the intermittent communication setting, where $M$ machines work in parallel over the course of $R$ rounds of communication to optimize…

Machine Learning · Computer Science 2021-08-06 Blake Woodworth , Brian Bullins , Ohad Shamir , Nathan Srebro

A novel long-lived distributed problem, called Team Formation (TF), is introduced together with a message- and time-efficient randomized algorithm. The problem is defined over the asynchronous model with a complete communication graph,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-19 Yuval Emek , Shay Kutten , Ido Rafael , Gadi Taubenfeld

Task allocation or participant selection is a key issue in Mobile Crowd Sensing (MCS). While previous participant selection approaches mainly focus on selecting a proper subset of users for a single MCS task, multi-task-oriented participant…

Human-Computer Interaction · Computer Science 2016-08-10 Yan Liu , Bin Guo , Yang Wang , Wenle Wu , Zhiwen Yu , Daqing Zhang

This work addresses the distributed estimation problem in a set membership framework. The agents of a network collect measurements which are affected by bounded errors, thus implying that the unknown parameters to be estimated belong to a…

Optimization and Control · Mathematics 2018-12-11 Francesco Farina , Andrea Garulli , Antonio Giannitrapani