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This paper studies the complexity of projected gradient descent methods for a class of strongly convex constrained optimization problems where the objective function is expressed as a summation of $m$ component functions, each possessing a…

Optimization and Control · Mathematics 2026-02-10 Xiaojun Chen , C. T. Kelley , Lei Wang

Matrix multiplication is a fundamental building block for large scale computations arising in various applications, including machine learning. There has been significant recent interest in using coding to speed up distributed matrix…

Information Theory · Computer Science 2019-05-17 Wei-Ting Chang , Ravi Tandon

There is a huge difference in techniques and runtimes of distributed algorithms for problems that can be solved by a sequential greedy algorithm and those that cannot. A prime example of this contrast appears in the edge coloring problem:…

Data Structures and Algorithms · Computer Science 2025-05-27 Manuel Jakob , Yannic Maus , Florian Schager

Coded distributed computing has been considered as a promising technique which makes large-scale systems robust to the "straggler" workers. Yet, practical system models for distributed computing have not been available that reflect the…

Information Theory · Computer Science 2019-01-17 Muah Kim , Jy-yong Sohn , Jaekyun Moon

Straggler nodes are well-known bottlenecks of distributed matrix computations which induce reductions in computation/communication speeds. A common strategy for mitigating such stragglers is to incorporate Reed-Solomon based MDS (maximum…

Information Theory · Computer Science 2023-08-24 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

Distributed Stochastic Gradient Descent (SGD) when run in a synchronous manner, suffers from delays in waiting for the slowest learners (stragglers). Asynchronous methods can alleviate stragglers, but cause gradient staleness that can…

Machine Learning · Statistics 2018-05-11 Sanghamitra Dutta , Gauri Joshi , Soumyadip Ghosh , Parijat Dube , Priya Nagpurkar

Existing approaches to distributed matrix computations involve allocating coded combinations of submatrices to worker nodes, to build resilience to stragglers and/or enhance privacy. In this study, we consider the challenge of preserving…

Information Theory · Computer Science 2023-08-09 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

In this paper, we consider a class of finite-sum convex optimization problems defined over a distributed multiagent network with $m$ agents connected to a central server. In particular, the objective function consists of the average of $m$…

Optimization and Control · Mathematics 2017-11-17 Guanghui Lan , Yi Zhou

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

Computationally intensive distributed and parallel computing is often bottlenecked by a small set of slow workers known as stragglers. In this paper, we utilize the emerging idea of "coded computation" to design a novel…

Information Theory · Computer Science 2017-06-06 Yaoqing Yang , Pulkit Grover , Soummya Kar

Stragglers' effects are known to degrade FL performance. In this paper, we investigate federated learning (FL) over wireless networks in the presence of communication stragglers, where the power-constrained clients collaboratively train a…

Signal Processing · Electrical Eng. & Systems 2024-08-09 Shudi Weng , Chengxi Li , Ming Xiao , Mikael Skoglund

Federated learning (FL) has achieved great success as a privacy-preserving distributed training paradigm, where many edge devices collaboratively train a machine learning model by sharing the model updates instead of the raw data with a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-21 Yuchang Sun , Jiawei Shao , Yuyi Mao , Songze Li , Jun Zhang

We propose a coded distributed computing scheme based on Raptor codes to address the straggler problem. In particular, we consider a scheme where each server computes intermediate values, referred to as droplets, that are either stored…

Information Theory · Computer Science 2018-10-09 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes , Francisco Lazaro , Gianluigi Liva

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

In modern decentralized applications, ensuring communication efficiency and privacy for the users are the key challenges. In order to train machine-learning models, the algorithm has to communicate to the data center and sample data for its…

Optimization and Control · Mathematics 2024-04-04 Hoang Huy Nguyen , Yan Li , Tuo Zhao

Counting the number of triangles in a graph has many important applications in network analysis. Several frequently computed metrics like the clustering coefficient and the transitivity ratio need to count the number of triangles in the…

Data Structures and Algorithms · Computer Science 2013-04-24 Mostafa Haghir Chehreghani

The current BigData era routinely requires the processing of large scale data on massive distributed computing clusters. Such large scale clusters often suffer from the problem of "stragglers", which are defined as slow or failed nodes. The…

Information Theory · Computer Science 2020-02-11 Aditya Ramamoorthy , Anindya Bijoy Das , Li Tang

We consider distributed optimization where the objective function is spread among different devices, each sending incremental model updates to a central server. To alleviate the communication bottleneck, recent work proposed various schemes…

Optimization and Control · Mathematics 2019-04-11 Samuel Horváth , Dmitry Kovalev , Konstantin Mishchenko , Sebastian Stich , Peter Richtárik

We study fundamental block-structured integer programs called tree-fold and multi-stage IPs. Tree-fold IPs admit a constraint matrix with independent blocks linked together by few constraints in a recursive pattern; and transposing their…

Computational Complexity · Computer Science 2024-02-28 Christoph Hunkenschröder , Kim-Manuel Klein , Martin Koutecký , Alexandra Lassota , Asaf Levin

We consider the setting where a master wants to run a distributed stochastic gradient descent (SGD) algorithm on $n$ workers, each having a subset of the data. Distributed SGD may suffer from the effect of stragglers, i.e., slow or…

Machine Learning · Computer Science 2022-08-08 Serge Kas Hanna , Rawad Bitar , Parimal Parag , Venkat Dasari , Salim El Rouayheb
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