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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

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

In distributed computing systems slow working nodes, known as stragglers, can greatly extend finishing times. Coded computing is a technique that enables straggler-resistant computation. Most coded computing techniques presented to date…

Information Theory · Computer Science 2021-02-02 Shahrzad Kiani , Nuwan Ferdinand , Stark C. Draper

Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

Optimization and Control · Mathematics 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

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

Distributed computing enables large-scale computation tasks to be processed over multiple workers in parallel. However, the randomness of communication and computation delays across workers causes the straggler effect, which may degrade the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-20 Yuxuan Sun , Fan Zhang , Junlin Zhao , Sheng Zhou , Zhisheng Niu , Deniz Gündüz

Coded distributed computing framework enables large-scale machine learning (ML) models to be trained efficiently in a distributed manner, while mitigating the straggler effect. In this work, we consider a multi-task assignment problem in a…

Information Theory · Computer Science 2019-05-21 Yuxuan Sun , Junlin Zhao , Sheng Zhou , Deniz Gündüz

We consider the problem of coded distributed computing using polar codes. The average execution time of a coded computing system is related to the error probability for transmission over the binary erasure channel in recent work by…

Information Theory · Computer Science 2022-02-02 Dorsa Fathollahi , Marco Mondelli

In large scale distributed linear transform problems, coded computation plays an important role to effectively deal with "stragglers" (distributed computations that may get delayed due to few slow or faulty processors). We propose a coded…

Information Theory · Computer Science 2018-04-27 Sinong Wang , Jiashang Liu , Ness Shroff , Pengyu Yang

We introduce an error resilient distributed computing method based on an extension of the channel polarization phenomenon to distributed algorithms. The method leverages an algorithmic split operation that transforms two identical compute…

Information Theory · Computer Science 2021-09-10 Mert Pilanci

Machine learning algorithms are typically run on large scale, distributed compute infrastructure that routinely face a number of unavailabilities such as failures and temporary slowdowns. Adding redundant computations using coding-theoretic…

Machine Learning · Computer Science 2018-06-05 Jack Kosaian , K. V. Rashmi , Shivaram Venkataraman

Large scale clusters leveraging distributed computing frameworks such as MapReduce routinely process data that are on the orders of petabytes or more. The sheer size of the data precludes the processing of the data on a single computer. The…

Information Theory · Computer Science 2018-02-12 Konstantinos Konstantinidis , Aditya Ramamoorthy

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

Practically good error-correcting codes should have good parameters and efficient decoding algorithms. Some algebraically defined good codes such as cyclic codes, Reed-Solomon codes, and Reed-Muller codes have nice decoding algorithms.…

Information Theory · Computer Science 2019-11-19 Lucky Galvez , Jon-Lark Kim

This paper addresses the gradient coding and coded matrix multiplication problems in distributed optimization and coded computing. We present a numerically stable binary coding method which overcomes the drawbacks of the \textit{Fractional…

Information Theory · Computer Science 2025-01-14 Neophytos Charalambides , Hessam Mahdavifar , Alfred O. Hero

Modern distributed computation infrastructures are often plagued by unavailabilities such as failing or slow servers. These unavailabilities adversely affect the tail latency of computation in distributed infrastructures. The simple…

Information Theory · Computer Science 2020-02-07 Michael Rudow , K. V. Rashmi , Venkatesan Guruswami

In a distributed storage system, code symbols are dispersed across space in nodes or storage units as opposed to time. In settings such as that of a large data center, an important consideration is the efficient repair of a failed node.…

Information Theory · Computer Science 2018-06-13 S. B. Balaji , M. Nikhil Krishnan , Myna Vajha , Vinayak Ramkumar , Birenjith Sasidharan , P. Vijay Kumar

The problem of low complexity, close to optimal, channel decoding of linear codes with short to moderate block length is considered. It is shown that deep learning methods can be used to improve a standard belief propagation decoder,…

Information Theory · Computer Science 2018-03-14 Eliya Nachmani , Elad Marciano , Loren Lugosch , Warren J. Gross , David Burshtein , Yair Beery

We introduce a new approach to proving that a sequence of deterministic linear codes achieves capacity on an erasure channel under maximum a posteriori decoding. Rather than relying on the precise structure of the codes our method exploits…

Information Theory · Computer Science 2016-01-19 Shrinivas Kudekar , Santhosh Kumar , Marco Mondelli , Henry D. Pfister , Eren Şaşoğlu , Rüdiger Urbanke

Coding theoretic approached have been developed to significantly reduce the communication load in modern distributed computing system. In particular, coded distributed computing (CDC) introduced by Li et al. can efficiently trade…

Information Theory · Computer Science 2020-08-04 Nicholas Woolsey , Rong-Rong Chen , Mingyue Ji