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The problem of distributed function computation is studied, where functions to be computed is not necessarily symbol-wise. A new method to derive a converse bound for distributed computing is proposed; from the structure of functions to be…

Information Theory · Computer Science 2017-07-10 Shigeaki Kuzuoka , Shun Watanabe

Computation codes in network information theory are designed for the scenarios where the decoder is not interested in recovering the information sources themselves, but only a function thereof. K\"orner and Marton showed for distributed…

Information Theory · Computer Science 2017-07-28 Jingge Zhu , Sung Hoon Lim , Michael Gastpar

This paper investigates a unification of distributed source coding, multiple description coding, and source coding with side information at decoders. The equivalence between the multiple-decoder extension of distributed source coding with…

Information Theory · Computer Science 2024-10-28 Jun Muramatsu

Coding for distributed computing supports low-latency computation by relieving the burden of straggling workers. While most existing works assume a simple master-worker model, we consider a hierarchical computational structure consisting of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Hyegyeong Park , Kangwook Lee , Jy-yong Sohn , Changho Suh , Jaekyun Moon

We consider the distributed function computation problem in asymmetric communication scenarios, where the sink computes some deterministic function of the data split among N correlated informants. The distributed function computation…

Information Theory · Computer Science 2009-07-13 Samar Agnihotri , Rajesh Venkatachalapathy

A two-terminal interactive distributed source coding problem with alternating messages for function computation at both locations is studied. For any number of messages, a computable characterization of the rate region is provided in terms…

Information Theory · Computer Science 2008-11-13 Nan Ma , Prakash Ishwar

This work explores a distributed computing setting where $K$ nodes are assigned fractions (subtasks) of a computational task in order to perform the computation in parallel. In this setting, a well-known main bottleneck has been the…

Information Theory · Computer Science 2018-02-13 Emanuele Parrinello , Eleftherios Lampiris , Petros Elia

Distributed computing in the context of deep neural networks (DNNs) implies the execution of one part of the network on edge devices and the other part typically on a large-scale cloud platform. Conventional methods propose to employ a…

Image and Video Processing · Electrical Eng. & Systems 2024-07-17 Danish Nazir , Timo Bartels , Jan Piewek , Thorsten Bagdonat , Tim Fingscheidt

This work considers the problem of finding analytical expressions for the expected values of dis- tributed computing performance metrics when the underlying communication network has a complex structure. Through active probing tests a real…

Adaptation and Self-Organizing Systems · Physics 2013-11-18 Francisco Prieto-Castrillo , Antonio Astillero , María Botón-Fernández

This paper establishes the rate region for a class of source coding function computation setups where sources of information are available at the nodes of a tree and where a function of these sources must be computed at the root. The rate…

Information Theory · Computer Science 2015-04-08 Milad Sefidgaran , Aslan Tchamkerten

We design a low complexity distributed compression scheme for computing arbitrary functions of sources with discrete alphabets. We use a helper-based method that extends the definition of the G{\'a}cs-K{\"o}rner-Witsenhausen (GKW) common…

Information Theory · Computer Science 2021-04-01 Derya Malak

Our work addresses the well-known open problem of distributed computing of bilinear functions of two correlated sources ${\bf A}$ and ${\bf B}$. In a setting with two nodes, with the first node having access to ${\bf A}$ and the second to…

Information Theory · Computer Science 2026-05-12 Derya Malak

The distributed linearly separable computation problem finds extensive applications across domains such as distributed gradient coding, distributed linear transform, real-time rendering, etc. In this paper, we investigate this problem in a…

Information Theory · Computer Science 2024-01-30 Haoning Chen , Minquan Cheng , Zhenhao Huang , Youlong Wu

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2019-06-25 Mohammad Vahid Jamali , Mahdi Soleymani , Hessam Mahdavifar

This work establishes the fundamental limits of the classical problem of multi-user distributed computing of linearly separable functions. In particular, we consider a distributed computing setting involving $L$ users, each requesting a…

Information Theory · Computer Science 2026-01-16 K. K. Krishnan Namboodiri , Elizabath Peter , Derya Malak , Petros Elia

Distributed source coding schemes are typically based on the use of channels codes as source codes. In this paper we propose a new paradigm, termed "distributed arithmetic coding", which exploits the fact that arithmetic codes are good…

Information Theory · Computer Science 2008-11-11 M. Grangetto , E. Magli , G. Olmo

Distributed computing has become a common approach for large-scale computation of tasks due to benefits such as high reliability, scalability, computation speed, and costeffectiveness. However, distributed computing faces critical issues…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-21 Jer Shyuan Ng , Wei Yang Bryan Lim , Nguyen Cong Luong , Zehui Xiong , Alia Asheralieva , Dusit Niyato , Cyril Leung , Chunyan Miao

We study the limits of communication efficiency for function computation in collocated networks within the framework of multi-terminal block source coding theory. With the goal of computing a desired function of sources at a sink, nodes…

Information Theory · Computer Science 2016-11-17 Nan Ma , Prakash Ishwar , Piyush Gupta

How can we optimally trade extra computing power to reduce the communication load in distributed computing? We answer this question by characterizing a fundamental tradeoff between computation and communication in distributed computing,…

Information Theory · Computer Science 2017-09-26 Songze Li , Mohammad Ali Maddah-Ali , Qian Yu , A. Salman Avestimehr

This book on Distributed Computing aims to benefit a diverse audience, ranging from aspiring engineers, and seasoned researchers, to a wide range of professionals. Driven by my passion for making the core concepts of distributed computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-27 Kenneth Odoh
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