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Given a capacitated communication network $\mathcal{N}$ and a function f that needs to be computed on $\mathcal{N},$ we study the problem of generating a computation and communication schedule in $\mathcal{N}$ to maximize the rate of…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-22 Pooja Vyavahare , Nutan Limaye Ajit A. Diwan , D. Manjunath

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

Linear computation broadcast (LCBC) refers to a setting with $d$ dimensional data stored at a central server, where $K$ users, each with some prior linear side-information, wish to retrieve various linear combinations of the data. For each…

Information Theory · Computer Science 2025-08-18 Yuhang Yao , Syed A. Jafar

While load balancing in distributed-memory computing has been well-studied, we present an innovative approach to this problem: a unified, reduced-order model that combines three key components to describe "work" in a distributed system:…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-26 Jonathan Lifflander , Philippe P. Pebay , Nicole L. Slattengren , Pierre L. Pebay , Robert A. Pfeiffer , Joseph D. Kotulski , Sean T. McGovern

In this paper, we consider a hierarchical distributed multi-task learning (MTL) system where distributed users wish to jointly learn different models orchestrated by a central server with the help of a layer of multiple relays. Since the…

Information Theory · Computer Science 2022-12-19 Haoyang Hu , Songze Li , Minquan Cheng , Youlong Wu

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

Optimization and Control · Mathematics 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

The presented work provides a procedure for optimizing the communication cost of a distributed quantum circuit (DQC) in terms of the number of qubit teleportations. Because of technology limitations which do not allow large quantum…

Emerging Technologies · Computer Science 2018-01-17 Mariam Zomorodi-Moghadam , Monireh Houshmand , Mahboobeh Houshmand

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

Clustering is an important tool in data analysis, with K-means being popular for its simplicity and versatility. However, it cannot handle non-linearly separable clusters. Kernel K-means addresses this limitation but requires a large kernel…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-29 Julian Bellavita , Matthew Rubino , Nakul Iyer , Andrew Chang , Aditya Devarakonda , Flavio Vella , Giulia Guidi

We consider running-time optimization for band-joins in a distributed system, e.g., the cloud. To balance load across worker machines, input has to be partitioned, which causes duplication. We explore how to resolve this tension between…

Databases · Computer Science 2020-04-15 Rundong Li , Wolfgang Gatterbauer , Mirek Riedewald

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

Information Theory · Computer Science 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

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

This work aims to jointly optimize the coding and node selection to minimize the processing time for distributed computing tasks over wireless edge networks. Since the joint optimization problem formulation is NP-hard and nonlinear, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-11 Cong T. Nguyen , Diep N. Nguyen , Dinh Thai Hoang , Hoang-Anh Pham , Eryk Dutkiewicz

We revisit existing linear computation coding (LCC) algorithms, and introduce a new framework that measures the computational cost of computing multidimensional linear functions, not only in terms of the number of additions, but also with…

Information Theory · Computer Science 2024-01-17 Hans Rosenberger , Ali Bereyhi , Ralf R. Müller

We propose two distributed iterative algorithms that can be used to solve, in finite time, the distributed optimization problem over quadratic local cost functions in large-scale networks. The first algorithm exhibits synchronous operation…

We consider distributed optimization over a $d$-dimensional space, where $K$ remote clients send coded gradient estimates over an {\em additive Gaussian Multiple Access Channel (MAC)} with noise variance $\sigma_z^2$. Furthermore, the…

Information Theory · Computer Science 2023-10-06 Shubham Jha

Economic dispatch problem for a networked power system has been considered. The objective is to minimize the total generation cost while meeting the overall supply-demand balance and generation capacity. In particular, a more practical…

Systems and Control · Computer Science 2019-05-01 Seungjoon Lee , Hyungbo Shim

In this paper we deal with a network of computing agents with local processing and neighboring communication capabilities that aim at solving (without any central unit) a submodular optimization problem. The cost function is the sum of many…

Optimization and Control · Mathematics 2020-05-26 Andrea Testa , Francesco Farina , Giuseppe Notarstefano

This paper investigates distributed computing systems where computations are split into "Map" and "Reduce" functions. A new coded scheme, called distributed computing and coded communication (D3C), is proposed, and its communication load is…

Information Theory · Computer Science 2020-01-23 Qifa Yan , Sheng Yang , Michèle Wigger

The problem of computing functions of values at the nodes in a network in a totally distributed manner, where nodes do not have unique identities and make decisions based only on local information, has applications in sensor, peer-to-peer,…

Networking and Internet Architecture · Computer Science 2007-05-23 Damon Mosk-Aoyama , Devavrat Shah