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Decentralized optimization has emerged as a critical paradigm for distributed learning, enabling scalable training while preserving data privacy through peer-to-peer collaboration. However, existing methods often suffer from communication…

Machine Learning · Computer Science 2026-01-06 Yijie Zhou , Shi Pu

A wide range of optimization problems arising in machine learning can be solved by gradient descent algorithms, and a central question in this area is how to efficiently compress a large-scale dataset so as to reduce the computational…

Machine Learning · Computer Science 2022-10-11 Jiawei Huang , Ruomin Huang , Wenjie Liu , Nikolaos M. Freris , Hu Ding

This paper presents fault-tolerant asynchronous Stochastic Gradient Descent (SGD) algorithms. SGD is widely used for approximating the minimum of a cost function $Q$, as a core part of optimization and learning algorithms. Our algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-14 Hagit Attiya , Noa Schiller

Empirically, it has been observed that adding momentum to Stochastic Gradient Descent (SGD) accelerates the convergence of the algorithm. However, the literature has been rather pessimistic, even in the case of convex functions, about the…

Optimization and Control · Mathematics 2025-01-27 Julien Hermant , Marien Renaud , Jean-François Aujol , Charles Dossal , Aude Rondepierre

Consensus-based decentralized stochastic gradient descent (D-SGD) is a widely adopted algorithm for decentralized training of machine learning models across networked agents. A crucial part of D-SGD is the consensus-based model averaging,…

Information Theory · Computer Science 2025-02-12 Daniel Pérez Herrera , Zheng Chen , Erik G. Larsson

The communication of gradients is a key bottleneck in distributed training of large scale machine learning models. In order to reduce the communication cost, gradient compression (e.g., sparsification and quantization) and error…

Optimization and Control · Mathematics 2021-09-22 Xun Qian , Hanze Dong , Peter Richtárik , Tong Zhang

Information compression is essential to reduce communication cost in distributed optimization over peer-to-peer networks. This paper proposes a communication-efficient linearly convergent distributed (COLD) algorithm to solve strongly…

Optimization and Control · Mathematics 2021-05-17 Jiaqi Zhang , Keyou You , Lihua Xie

We study a distributed consensus-based stochastic gradient descent (SGD) algorithm and show that the rate of convergence involves the spectral properties of two matrices: the standard spectral gap of a weight matrix from the network…

Optimization and Control · Mathematics 2016-09-02 Avleen S. Bijral , Anand D. Sarwate , Nathan Srebro

Stochastic Gradient Descent (SGD) methods see many uses in optimization problems. Modifications to the algorithm, such as momentum-based SGD methods have been known to produce better results in certain cases. Much of this, however, is due…

Machine Learning · Computer Science 2025-04-22 Eric Lu

Gradient quantization is an emerging technique in reducing communication costs in distributed learning. Existing gradient quantization algorithms often rely on engineering heuristics or empirical observations, lacking a systematic approach…

Machine Learning · Computer Science 2021-08-02 Guangfeng Yan , Shao-Lun Huang , Tian Lan , Linqi Song

Large-scale distributed training of neural networks is often limited by network bandwidth, wherein the communication time overwhelms the local computation time. Motivated by the success of sketching methods in sub-linear/streaming…

Machine Learning · Computer Science 2020-01-24 Nikita Ivkin , Daniel Rothchild , Enayat Ullah , Vladimir Braverman , Ion Stoica , Raman Arora

We study diffusion and consensus based optimization of a sum of unknown convex objective functions over distributed networks. The only access to these functions is through stochastic gradient oracles, each of which is only available at a…

Numerical Analysis · Computer Science 2015-09-01 N. Denizcan Vanli , Muhammed O. Sayin , Suleyman S. Kozat

In distributed stochastic optimization, where parallel and asynchronous methods are employed, we establish optimal time complexities under virtually any computation behavior of workers/devices/CPUs/GPUs, capturing potential disconnections…

Optimization and Control · Mathematics 2025-02-07 Alexander Tyurin

Decentralized optimization algorithms have recently attracted increasing attention due to its wide applications in all areas of science and engineering. In these algorithms, a collection of agents collaborate to minimize the average of a…

Optimization and Control · Mathematics 2024-09-18 Shujing Feng , Xin Jiang

Distributed methods are essential for handling machine learning pipelines comprising large-scale models and datasets. However, their benefits often come at the cost of increased communication overhead between the central server and agents,…

Machine Learning · Computer Science 2025-03-03 Enea Monzio Compagnoni , Rustem Islamov , Frank Norbert Proske , Aurelien Lucchi

On-device memory concerns in distributed deep learning have become severe due to (i) the growth of model size in multi-GPU training, and (ii) the wide adoption of deep neural networks for federated learning on IoT devices which have limited…

Machine Learning · Computer Science 2023-12-15 Bingcong Li , Shuai Zheng , Parameswaran Raman , Anshumali Shrivastava , Georgios B. Giannakis

Decentralized SGD can run with low communication costs, but its sparse communication characteristics deteriorate the convergence rate, especially when the number of nodes is large. In decentralized learning settings, communication is…

Machine Learning · Computer Science 2025-03-03 Yuki Takezawa , Sebastian U. Stich

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

This paper studies the convergence of clipped stochastic gradient descent (SGD) algorithms with decision-dependent data distribution. Our setting is motivated by privacy preserving optimization algorithms that interact with performative…

Optimization and Control · Mathematics 2025-01-31 Qiang Li , Michal Yemini , Hoi-To Wai

In distributed optimization, the communication of model updates can be a performance bottleneck. Consequently, gradient compression has been proposed as a means of increasing optimization throughput. In general, due to information loss,…

Optimization and Control · Mathematics 2025-07-17 Thomas Flynn , Patrick Johnstone , Shinjae Yoo