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We consider a MapReduce-like distributed computing system. We derive a lower bound on the communication cost for any given storage and computation costs. This lower bound matches the achievable bound we proposed recently. As a result, we…

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

Interprocessor communication often dominates the runtime of large matrix computations. We present a parallel algorithm for computing QR decompositions whose bandwidth cost (communication volume) can be decreased at the cost of increasing…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Grey Ballard , James Demmel , Laura Grigori , Mathias Jacquelin , Nicholas Knight

The polynomial method from circuit complexity has been applied to several fundamental problems and obtains the state-of-the-art running times. As observed in [Alman and Williams, STOC 2017], almost all applications of the polynomial method…

Computational Complexity · Computer Science 2018-11-20 Lijie Chen , Ruosong Wang

We derive information-theoretic converses (i.e., lower bounds) for the minimum time required by any algorithm for distributed function computation over a network of point-to-point channels with finite capacity, where each node of the…

Information Theory · Computer Science 2017-01-04 Aolin Xu , Maxim Raginsky

Resource-constrained systems are prevalent in communications. Such a system is composed of many components but only some of them can be allocated with resources such as time slots. According to the amount of information about the system,…

Information Theory · Computer Science 2014-04-02 Albert Y. S. Lam , Yanhui Geng , Victor O. K. Li

The last decade has witnessed an explosion in the development of models, theory and computational algorithms for "big data" analysis. In particular, distributed computing has served as a natural and dominating paradigm for statistical…

Machine Learning · Statistics 2018-11-02 Bayan Saparbayeva , Michael Minyi Zhang , Lizhen Lin

Tensor train (TT) format is a common approach for computationally efficient work with multidimensional arrays, vectors, matrices, and discretized functions in a wide range of applications, including computational mathematics and machine…

Numerical Analysis · Mathematics 2022-09-30 Andrei Chertkov , Gleb Ryzhakov , Georgii Novikov , Ivan Oseledets

Submodular maximization has been widely used in many multi-robot task planning problems including information gathering, exploration, and target tracking. However, the interplay between submodular maximization and communication is rarely…

Robotics · Computer Science 2021-04-09 Guangyao Shi , Ishat E Rabban , Lifeng Zhou , Pratap Tokekar

Communication compression is an essential strategy for alleviating communication overhead by reducing the volume of information exchanged between computing nodes in large-scale distributed stochastic optimization. Although numerous…

Machine Learning · Computer Science 2025-03-19 Yutong He , Xinmeng Huang , Yiming Chen , Wotao Yin , Kun Yuan

In current convolutional neural network (CNN) accelerators, communication (i.e., memory access) dominates the energy consumption. This work provides comprehensive analysis and methodologies to minimize the communication for CNN…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-20 Xiaoming Chen , Yinhe Han , Yu Wang

We address distributed learning problems over undirected networks. Specifically, we focus on designing a novel ADMM-based algorithm that is jointly computation- and communication-efficient. Our design guarantees computational efficiency by…

Machine Learning · Computer Science 2026-01-21 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

This paper proposes a novel formulation of the tensor completion problem to impute missing entries of data represented by tensors. The formulation is introduced in terms of tensor train (TT) rank which can effectively capture global…

Numerical Analysis · Computer Science 2016-01-07 Ho N. Phien , Hoang D. Tuan , Johann A. Bengua , Minh N. Do

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

Algorithms have two costs: arithmetic and communication. The latter represents the cost of moving data, either between levels of a memory hierarchy, or between processors over a network. Communication often dominates arithmetic and…

Numerical Analysis · Mathematics 2010-11-16 Grey Ballard , James Demmel , Ioana Dumitriu

Tensor-based modulation (TBM) has been proposed in the context of unsourced random access for massive uplink communication. In this modulation, transmitters encode data as rank-1 tensors, with factors from a discrete vector constellation.…

Information Theory · Computer Science 2021-11-04 Alexis Decurninge , Ingmar Land , Maxime Guillaud

A critical challenge for modern system design is meeting the overwhelming performance, storage, and communication bandwidth demand of emerging applications within a tightly bound power budget. As both the time and power, hence the energy,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-30 Ismail Akturk , Ulya R. Karpuzcu

We propose a dual decomposition and linear program relaxation of the NP -hard minimum cost multicut problem. Unlike other polyhedral relaxations of the multicut polytope, it is amenable to efficient optimization by message passing. Like…

Data Structures and Algorithms · Computer Science 2017-01-13 Paul Swoboda , Bjoern Andres

Recent trends in high-performance computing and deep learning have led to the proliferation of studies on large-scale deep neural network training. However, the frequent communication requirements among computation nodes drastically slows…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-27 Shuo Ouyang , Dezun Dong , Yemao Xu , Liquan Xiao

This correspondence proposes a new rotated codebook for three-dimensional (3D) multi-input-multi-output (MIMO) system under spatially correlated channel. To avoid the problem of high dimensionality led by large antenna array, the rotation…

Information Theory · Computer Science 2015-09-29 Fang Yuan

There is a significant expansion in both volume and range of applications along with the concomitant increase in the variety of data sources. These ever-expanding trends have highlighted the necessity for more versatile analysis tools that…

Numerical Analysis · Mathematics 2021-09-09 Ilya Kisil , Giuseppe G. Calvi , Kriton Konstantinidis , Yao Lei Xu , Danilo P. Mandic