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In this work, we consider the problem of distributed computing of functions of structured sources, focusing on the classical setting of two correlated sources and one user that seeks the outcome of the function while benefiting from…

Information Theory · Computer Science 2023-07-27 Derya Malak

The classical problem in network coding theory considers communication over multicast networks. Multiple transmitters send independent messages to multiple receivers which decode the same set of messages. In this work, computation over…

Information Theory · Computer Science 2016-02-18 Changho Suh , Naveen Goela , Michael Gastpar

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

Source and channel coding over multiuser channels in which receivers have access to correlated source side information is considered. For several multiuser channel models necessary and sufficient conditions for optimal separation of the…

Information Theory · Computer Science 2009-07-09 Deniz Gunduz , Elza Erkip , Andrea Goldsmith , H. Vincent Poor

We consider the problem of distributed computation of a target function over a multiple-access channel. If the target and channel functions are matched (i.e., compute the same function), significant performance gains can be obtained by…

Information Theory · Computer Science 2013-03-28 Nikhil Karamchandani , Urs Niesen , Suhas Diggavi

We consider a distributed source coding system in which several observations are communicated to the decoder using limited transmission rate. The observations must be separately coded. We introduce a robust distributed coding scheme which…

Information Theory · Computer Science 2007-07-13 Jun Chen , Toby Berger

Network coding is a new and promising paradigm for modern communication networks by allowing intermediate nodes to mix messages received from multiple sources. Compute-and-forward strategy is one category of network coding in which a relay…

Signal Processing · Electrical Eng. & Systems 2020-03-06 Lili Wei , Wen Chen

A new approach to joint source-channel coding is presented in the context of communicating correlated sources over multiple access channels. Similar to the separation architecture, the joint source-channel coding system architecture in this…

Information Theory · Computer Science 2013-06-04 Paolo Minero , Sung Hoon Lim , Young-Han Kim

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

A coding problem for correlated information sources is investigated. Messages emitted from two correlated sources are jointly encoded, and delivered to two decoders. Each decoder has access to one of the two messages to enable it to…

Information Theory · Computer Science 2008-04-11 Akisato Kimura , Tomohiko Uyematsu

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

Coded computing has emerged as a promising framework for tackling significant challenges in large-scale distributed computing, including the presence of slow, faulty, or compromised servers. In this approach, each worker node processes a…

Machine Learning · Computer Science 2026-03-26 Parsa Moradi , Behrooz Tahmasebi , Mohammad Ali Maddah-Ali

The network communication scenario where one or more receivers request all the information transmitted by different sources is considered. We introduce distributed polynomial-time network codes in the presence of malicious nodes. Our codes…

Networking and Internet Architecture · Computer Science 2010-01-18 Hongyi Yao , Theodoros K. Dikaliotis , Sidharth Jaggi , Tracey Ho

A randomized covering-packing duality between source and channel coding will be discussed by considering the source coding problem of coding a source with a certain distortion level and by considering a channel which communicates the source…

Information Theory · Computer Science 2015-05-25 Mukul Agarwal , Sanjoy MItter

Network coding is a highly efficient data dissemination mechanism for wireless networks. Since network coded information can only be recovered after delivering a sufficient number of coded packets, the resulting decoding delay can become…

Information Theory · Computer Science 2016-11-17 Rui A. Costa , Daniele Munaretto , Joerg Widmer , Joao Barros

In this article we focus on the problem of channel decoding in presence of a-priori information. In particular, assuming that the a-priori information reliability is not perfectly estimated at the receiver, we derive a novel analytical…

Information Theory · Computer Science 2007-11-14 Andrea Abrardo

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

Coded distributed computing introduced by Li et al. in 2015 is an efficient approach to trade computing power to reduce the communication load in general distributed computing frameworks such as MapReduce. In particular, Li et al. show that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-13 Nicholas Woolsey , Rong-Rong Chen , Mingyue Ji

We consider a new fundamental question regarding the point-to-point memoryless channel. The source-channel separation theorem indicates that random codebook construction for lossy source compression and channel coding can be independently…

Information Theory · Computer Science 2011-10-04 Paul Cuff , Curt Schieler

In contrast to the network coding problem wherein the sinks in a network demand subsets of the source messages, in a network computation problem the sinks demand functions of the source messages. Similarly, in the functional index coding…

Information Theory · Computer Science 2016-03-18 Anindya Gupta , B. Sundar Rajan
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