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In a distributed computing system operating according to the map-shuffle-reduce framework, coding data prior to storage can be useful both to reduce the latency caused by straggling servers and to decrease the inter-server communication…

Information Theory · Computer Science 2018-08-22 Jingjing Zhang , Osvaldo Simeone

We propose two coding schemes for distributed matrix multiplication in the presence of stragglers. These coding schemes are adaptations of LT codes and Raptor codes to distributed matrix multiplication and are termed \emph{factored LT (FLT)…

Information Theory · Computer Science 2019-07-26 Asit Kumar Pradhan , Anoosheh Heidarzadeh , Krishna R. Narayanan

Edge computing has recently emerged as a promising paradigm to boost the performance of distributed learning by leveraging the distributed resources at edge nodes. Architecturally, the introduction of edge nodes adds an additional…

Networking and Internet Architecture · Computer Science 2024-06-18 Weiheng Tang , Jingyi Li , Lin Chen , Xu Chen

This dissertation considers new constructions and decoding approaches for error-correcting codes based on non-conventional polynomials, with the objective of providing new coding solutions to the applications mentioned above. With skew…

Information Theory · Computer Science 2025-01-08 Hedongliang Liu

While performing distributed computations in today's cloud-based platforms, execution speed variations among compute nodes can significantly reduce the performance and create bottlenecks like stragglers. Coded computation techniques…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-04 Krishna Giri Narra , Zhifeng Lin , Mehrdad Kiamari , Salman Avestimehr , Murali Annavaram

A majority of coded matrix-matrix computation literature has broadly focused in two directions: matrix partitioning for computing a single computation task and batch processing of multiple distinct computation tasks. While these works…

Information Theory · Computer Science 2022-01-04 Lev Tauz , Lara Dolecek

We present Modular Polynomial (MP) Codes for Secure Distributed Matrix Multiplication (SDMM). The construction is based on the observation that one can decode certain proper subsets of the coefficients of a polynomial with fewer evaluations…

Information Theory · Computer Science 2024-01-08 David Karpuk , Razane Tajeddine

We show that polynomial codes (and some related codes) used for distributed matrix multiplication are interleaved Reed-Solomon codes and, hence, can be collaboratively decoded. We consider a fault tolerant setup where $t$ worker nodes…

Information Theory · Computer Science 2019-06-03 Adarsh M. Subramaniam , Anoosheh Heiderzadeh , Krishna R. Narayanan

A novel fault-tolerant computation technique based on array Belief Propagation (BP)-decodable XOR (BP-XOR) codes is proposed for distributed matrix-matrix multiplication. The proposed scheme is shown to be configurable and suited for modern…

Information Theory · Computer Science 2021-12-13 Suayb S. Arslan

Coded computing is a distributed paradigm that uses coding theory to introduce \textit{redundancy} and overcome bottlenecks in large-scale systems. In the same vein, randomized numerical linear algebra employs probabilistic methods to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Neophytos Charalambides , Arya Mazumdar

We propose a unified coded framework for distributed computing with straggling servers, by introducing a tradeoff between "latency of computation" and "load of communication" for some linear computation tasks. We show that the coded scheme…

Information Theory · Computer Science 2016-10-26 Songze Li , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

We investigate the problem of privacy preserving distributed matrix multiplication in edge networks using multi-party computation (MPC). Coded multi-party computation (CMPC) is an emerging approach to reduce the required number of workers…

Information Theory · Computer Science 2022-03-16 Elahe Vedadi , Yasaman Keshtkarjahromi , Hulya Seferoglu

Coded computation techniques provide robustness against straggling servers in distributed computing, with the following limitations: First, they increase decoding complexity. Second, they ignore computations carried out by straggling…

Machine Learning · Computer Science 2018-11-29 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

We consider the setting of a Master server, M, who possesses confidential data (e.g., personal, genomic or medical data) and wants to run intensive computations on it, as part of a machine learning algorithm for example. The Master wants to…

Information Theory · Computer Science 2026-01-01 Rawad Bitar , Parimal Parag , Salim El Rouayheb

Tensors are a fundamental operation in distributed computing, \emph{e.g.,} machine learning, that are commonly distributed into multiple parallel tasks for large datasets. Stragglers and other failures can severely impact the overall…

Information Theory · Computer Science 2024-10-30 Pedro Soto

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

Coded computation is a framework which provides redundancy in distributed computing systems to speed up largescale tasks. Although most existing works assume an error-free scenarios in a master-worker setup, the link failures are common in…

Information Theory · Computer Science 2019-01-14 Dong-Jun Han , Jy-yong Sohn , Jaekyun Moon

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

Matrix factorization is an important representation learning algorithm, e.g., recommender systems, where a large matrix can be factorized into the product of two low dimensional matrices termed as latent representations. This paper…

Information Theory · Computer Science 2021-05-11 Siyuan Wang , Qifa Yan , Jingjing Zhang , Jianping Wang , Linqi Song

Master-worker distributed computing systems use task replication in order to mitigate the effect of slow workers, known as stragglers. Tasks are grouped into batches and assigned to one or more workers for execution. We first consider the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-29 Amir Behrouzi-Far , Emina Soljanin
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