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Distributed implementations of gradient-based methods, wherein a server distributes gradient computations across worker machines, suffer from slow running machines, called 'stragglers'. Gradient coding is a coding-theoretic framework to…

Information Theory · Computer Science 2019-05-01 Swanand Kadhe , O. Ozan Koyluoglu , Kannan Ramchandran

Communicating information, like gradient vectors, between computing nodes in distributed and federated learning is typically an unavoidable burden, resulting in scalability issues. Indeed, communication might be slow and costly. Recent…

Machine Learning · Computer Science 2020-10-08 Alyazeed Albasyoni , Mher Safaryan , Laurent Condat , Peter Richtárik

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

Optimization and Control · Mathematics 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

Gradient descent (GD) methods are commonly employed in machine learning problems to optimize the parameters of the model in an iterative fashion. For problems with massive datasets, computations are distributed to many parallel computing…

Information Theory · Computer Science 2019-03-06 Emre Ozfatura , Deniz Gunduz , Sennur Ulukus

With gradient coding, a user node can efficiently aggregate gradients from server nodes processing local datasets, achieving low communication costs and maintaining resilience against straggling servers. This paper considers a secure…

Information Theory · Computer Science 2025-04-30 Yang Zhou , Wenbo Huang , Kai Wan , Robert Caiming Qiu

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 2020-07-28 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

Dealing with the shear size and complexity of today's massive data sets requires computational platforms that can analyze data in a parallelized and distributed fashion. A major bottleneck that arises in such modern distributed computing…

Information Theory · Computer Science 2019-04-03 A. Salman Avestimehr , Seyed Mohammadreza Mousavi Kalan , Mahdi Soltanolkotabi

One of the main focuses in distributed learning is communication efficiency, since model aggregation at each round of training can consist of millions to billions of parameters. Several model compression methods, such as gradient…

Information Theory · Computer Science 2022-06-29 Naifu Zhang , Meixia Tao , Jia Wang , Fan Xu

In this paper, we propose a method of distributed stochastic gradient descent (SGD), with low communication load and computational complexity, and still fast convergence. To reduce the communication load, at each iteration of the algorithm,…

Machine Learning · Computer Science 2020-03-30 Naeimeh Omidvar , Mohammad Ali Maddah-Ali , Hamed Mahdavi

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

The distributed setting for Saddle Problems (SPs) has recently emerged as a framework for various modern applications in machine learning and multiagent systems. Despite its relevance, the theoretical foundations of this setting have not…

Optimization and Control · Mathematics 2026-05-19 Ruichen Luo , Anton Rodomanov , Sebastian U. Stich

We consider the problem of communication efficient distributed optimization where multiple nodes exchange important algorithm information in every iteration to solve large problems. In particular, we focus on the stochastic variance-reduced…

Machine Learning · Computer Science 2020-03-16 Hossein S. Ghadikolaei , Sindri Magnusson

In distributed computing, slower nodes (stragglers) usually become a bottleneck. Gradient Coding (GC), introduced by Tandon et al., is an efficient technique that uses principles of error-correcting codes to distribute gradient computation…

Machine Learning · Computer Science 2023-06-29 M. Nikhil Krishnan , MohammadReza Ebrahimi , Ashish Khisti

This paper studies the distributed linearly separable computation problem, which is a generalization of many existing distributed computing problems such as distributed gradient descent and distributed linear transform. In this problem, a…

Information Theory · Computer Science 2020-10-06 Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

Recently, coding has been a useful technique to mitigate the effect of stragglers in distributed computing. However, coding in this context has been mainly explored under the assumption of homogeneous workers, although the real-world…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-18 DaeJin Kim , Hyegyeong Park , Junkyun Choi

We consider a MapReduce-like distributed computing system. We derive a lower bound on the communication cost for any given storage and computation costs. This lower bound matches the achievable bound we proposed recently. As a result, we…

Information Theory · Computer Science 2020-01-23 Qifa Yan , Sheng Yang , Michèle Wigger

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 study the complexity of finding communication trees with the lowest possible completion time for rooted, irregular gather and scatter collective communication operations in fully connected, $k$-ported communication networks under a…

Computational Complexity · Computer Science 2018-11-28 Jesper Larsson Träff

Modern learning algorithms use gradient descent updates to train inferential models that best explain data. Scaling these approaches to massive data sizes requires proper distributed gradient descent schemes where distributed worker nodes…

Information Theory · Computer Science 2017-10-30 Songze Li , Seyed Mohammadreza Mousavi Kalan , A. Salman Avestimehr , Mahdi Soltanolkotabi

In distributed machine learning (DML), the training data is distributed across multiple worker nodes to perform the underlying training in parallel. One major problem affecting the performance of DML algorithms is presence of stragglers.…

Information Theory · Computer Science 2021-05-14 Amogh Johri , Arti Yardi , Tejas Bodas