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We consider a generalization of the gradient coding framework where a dataset is divided across $n$ workers and each worker transmits to a master node one or more linear combinations of the gradients over its assigned data subsets. Unlike…

Information Theory · Computer Science 2022-05-03 Sahasrajit Sarmasarkar , V. Lalitha , Nikhil Karamchandani

This paper studies the computation-communication tradeoff in a heterogeneous MapReduce computing system where each distributed node is equipped with different computation capability. We first obtain an achievable communication load for any…

Information Theory · Computer Science 2019-08-20 Fan Xu , Meixia Tao

Distributed gradient descent (DGD) is an efficient way of implementing gradient descent (GD), especially for large data sets, by dividing the computation tasks into smaller subtasks and assigning to different computing servers (CSs) to be…

Information Theory · Computer Science 2018-11-29 Emre Ozfatura , Deniz Gunduz , Sennur Ulukus

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

A major hurdle in machine learning is scalability to massive datasets. One approach to overcoming this is to distribute the computational tasks among several workers. \textit{Gradient coding} has been recently proposed in distributed…

Information Theory · Computer Science 2020-09-16 Neophytos Charalambides , Hessam Mahdavifar , Alfred O. Hero

Distributed implementations are crucial in speeding up large scale machine learning applications. Distributed gradient descent (GD) is widely employed to parallelize the learning task by distributing the dataset across multiple workers. A…

Information Theory · Computer Science 2021-03-02 Baturalp Buyukates , Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

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

Consider a mobile edge computing system in which users wish to obtain the result of a linear inference operation on locally measured input data. Unlike the offloaded input data, the model weight matrix is distributed across wireless Edge…

Information Theory · Computer Science 2019-04-12 Jingjing Zhang , Osvaldo Simeone

Shuffling strategies for stochastic gradient descent (SGD), including incremental gradient, shuffle-once, and random reshuffling, are supported by rigorous convergence analyses for arbitrary within-epoch permutations. In particular, random…

Machine Learning · Computer Science 2026-04-02 Lam M. Nguyen , Dzung T. Phan , Jayant Kalagnanam

Large-scale machine learning and data mining applications require computer systems to perform massive matrix-vector and matrix-matrix multiplication operations that need to be parallelized across multiple nodes. The presence of straggling…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-01 Ankur Mallick , Malhar Chaudhari , Utsav Sheth , Ganesh Palanikumar , Gauri Joshi

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

Optimization and Control · Mathematics 2021-08-23 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

We consider the problem of training a least-squares regression model on a large dataset using gradient descent. The computation is carried out on a distributed system consisting of a master node and multiple worker nodes. Such distributed…

Information Theory · Computer Science 2018-05-28 Songze Li , Seyed Mohammadreza Mousavi Kalan , Qian Yu , Mahdi Soltanolkotabi , A. Salman Avestimehr

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 2021-10-06 Mahdi Soleymani , Mohammad Vahid Jamali , Hessam Mahdavifar

In this paper, we propose an optimally structured gradient coding scheme to mitigate the straggler problem in distributed learning. Conventional gradient coding methods often assume homogeneous straggler models or rely on excessive data…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Heekang Song , Wan Choi

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

Gradient coding allows a master node to derive the aggregate of the partial gradients, calculated by some worker nodes over the local data sets, with minimum communication cost, and in the presence of stragglers. In this paper, for gradient…

Information Theory · Computer Science 2021-03-03 Tayyebeh Jahani-Nezhad , Mohammad Ali Maddah-Ali

While load balancing in distributed-memory computing has been well-studied, we present an innovative approach to this problem: a unified, reduced-order model that combines three key components to describe "work" in a distributed system:…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-26 Jonathan Lifflander , Philippe P. Pebay , Nicole L. Slattengren , Pierre L. Pebay , Robert A. Pfeiffer , Joseph D. Kotulski , Sean T. McGovern

This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

Optimization and Control · Mathematics 2013-12-03 João F. C. Mota

Distributed algorithms are often beset by the straggler effect, where the slowest compute nodes in the system dictate the overall running time. Coding-theoretic techniques have been recently proposed to mitigate stragglers via algorithmic…

Machine Learning · Statistics 2017-11-21 Zachary Charles , Dimitris Papailiopoulos , Jordan Ellenberg

We consider the problem of learning classifiers for labeled data that has been distributed across several nodes. Our goal is to find a single classifier, with small approximation error, across all datasets while minimizing the communication…

Machine Learning · Statistics 2012-03-06 Hal Daume , Jeff M. Phillips , Avishek Saha , Suresh Venkatasubramanian