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In decentralized optimization, nodes of a communication network each possess a local objective function, and communicate using gossip-based methods in order to minimize the average of these per-node functions. While synchronous algorithms…

Optimization and Control · Mathematics 2022-09-02 Mathieu Even , Hadrien Hendrikx , Laurent Massoulie

Modern large scale machine learning applications require stochastic optimization algorithms to be implemented on distributed computational architectures. A key bottleneck is the communication overhead for exchanging information, such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-25 Zijie Yan

In asynchronous federated learning (FL), client devices send updates to a central server at varying times based on their computational speed, often using stale versions of the global model. This staleness can degrade the convergence and…

Machine Learning · Computer Science 2026-03-10 Patrick Wilhelm , Odej Kao

We give a sharp convergence rate for the asynchronous stochastic gradient descent (ASGD) algorithms when the loss function is a perturbed quadratic function based on the stochastic modified equations introduced in [An et al. Stochastic…

Numerical Analysis · Mathematics 2020-01-27 Yuhua Zhu , Lexing Ying

The problem of network-constrained averaging is to compute the average of a set of values distributed throughout a graph G using an algorithm that can pass messages only along graph edges. We study this problem in the noisy setting, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-15 Nima Noorshams , Martin Wainwright

Asynchronous stochastic gradient methods are central to scalable distributed optimization, particularly when devices differ in computational capabilities. Such settings arise naturally in federated learning, where training takes place on…

Optimization and Control · Mathematics 2026-02-20 Artavazd Maranjyan , Peter Richtárik

Modern machine learning is dominated by complex, overparameterized architectures capable of interpolating data and achieving zero training loss. For such models, we investigate the convergence properties of two popular modifications to…

Optimization and Control · Mathematics 2026-05-27 Aleksandr Lobanov , Anastasia Koloskova

Stochastic Gradient Descent (SGD) is the most popular algorithm for training deep neural networks (DNNs). As larger networks and datasets cause longer training times, training on distributed systems is common and distributed SGD variants,…

Machine Learning · Computer Science 2019-06-17 Kwangmin Yu , Thomas Flynn , Shinjae Yoo , Nicholas D'Imperio

We introduce novel convergence results for asynchronous iterations that appear in the analysis of parallel and distributed optimization algorithms. The results are simple to apply and give explicit estimates for how the degree of asynchrony…

Optimization and Control · Mathematics 2023-04-04 Hamid Reza Feyzmahdavian , Mikael Johansson

Stochastic gradient descent (SGD) is a well known method for regression and classification tasks. However, it is an inherently sequential algorithm at each step, the processing of the current example depends on the parameters learned from…

Machine Learning · Computer Science 2017-05-24 Saeed Maleki , Madanlal Musuvathi , Todd Mytkowicz

Congestion on the Internet is an old problem but still a subject of intensive research. The TCP protocol with its AIMD (Additive Increase and Multiplicative Decrease) behavior hides very challenging problems; one of them is to understand…

Networking and Internet Architecture · Computer Science 2007-05-23 Julien Reynier

Motivated by applications of distributed linear estimation, distributed control and distributed optimization, we consider the question of designing linear iterative algorithms for computing the average of numbers in a network. Specifically,…

Information Theory · Computer Science 2009-08-28 Kyomin Jung , Devavrat Shah , Jinwoo Shin

Efficiently scaling deep neural networks across GPU clusters requires navigating complex trade-offs between computational throughput, memory utilization, and synchronization overhead. This paper presents a unified empirical evaluation of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-06 Md Sultanul Islam Ovi

We study large-scale systems operating under the JSQ$(d)$ policy in the presence of stringent task-server compatibility constraints. Consider a system with $N$ identical single-server queues and $M(N)$ task types, where each server is able…

Probability · Mathematics 2020-08-25 Daan Rutten , Debankur Mukherjee

Decentralized Federated Graph Learning (DFGL) overcomes potential bottlenecks of the parameter server in FGL by establishing a peer-to-peer (P2P) communication network among workers. However, while extensive cross-worker communication of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-11 Shilong Wang , Jianchun Liu , Hongli Xu , Chenxia Tang , Qianpiao Ma , Liusheng Huang

We consider collocated primary and secondary networks that have simultaneous access to the same frequency bands. Particularly, we examine three different levels at which primary and secondary networks may coexist: pure interference,…

Information Theory · Computer Science 2016-11-17 Nadia Jamal , Hamidreza Ebrahimzadeh Saffar , Patrick Mitran

A stochastic gradient method for synchronous distributed optimization is studied. For reducing communication cost, we particularly focus on utilization of compression of communicated gradients. Several work has shown that {\it{sparsified}}…

Optimization and Control · Mathematics 2020-06-22 Tomoya Murata , Taiji Suzuki

Stochastic Gradient Descent (SGD) is very useful in optimization problems with high-dimensional non-convex target functions, and hence constitutes an important component of several Machine Learning and Data Analytics methods. Recently there…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-11 Karl Bäckström , Marina Papatriantafilou , Philippas Tsigas

Delay-tolerant networking (DTN) offers a novel architecture that can be used to enhance store-carry-forward routing in satellite networks. Since these networks can take advantage of scheduled contact plans, distributed algorithms like the…

Networking and Internet Architecture · Computer Science 2023-05-09 Pablo G. Madoery , Gunes Karabulut Kurt , Halim Yanikomeroglu , Peng Hu , Khaled Ahmed , Stéphane Martel , Guillaume Lamontagne

We show how any dynamic instantaneous compression algorithm can be converted to an asymmetric communication protocol, with which a server with high bandwidth can help clients with low bandwidth send it messages. Unlike previous authors, we…

Information Theory · Computer Science 2007-07-16 Travis Gagie
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