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We consider a decentralized optimization problem for networks affected by communication delays. Examples of such networks include collaborative machine learning, sensor networks, and multi-agent systems. To mimic communication delays, we…

Machine Learning · Computer Science 2024-10-03 Tomas Ortega , Hamid Jafarkhani

We consider the distributed stochastic optimization problem where $n$ agents want to minimize a global function given by the sum of agents' local functions, and focus on the heterogeneous setting when agents' local functions are defined…

Machine Learning · Computer Science 2023-10-19 Tiancheng Qin , S. Rasoul Etesami , César A. Uribe

Stochastic Gradient Descent (SGD) is the standard numerical method used to solve the core optimization problem for the vast majority of machine learning (ML) algorithms. In the context of large scale learning, as utilized by many Big Data…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-06 Janis Keuper , Franz-Josef Pfreundt

Federated learning has emerged as a privacy-preserving technique for collaborative model training across heterogeneously distributed silos. Yet, its reliance on a single central server introduces potential bottlenecks and risks of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-13 Huong Nguyen , Hong-Tri Nguyen , Praveen Kumar Donta , Susanna Pirttikangas , Lauri Lovén

We consider decentralized optimization problems in which a number of agents collaborate to minimize the average of their local functions by exchanging over an underlying communication graph. Specifically, we place ourselves in an…

Optimization and Control · Mathematics 2023-03-20 Yu-Guan Hsieh , Yassine Laguel , Franck Iutzeler , Jérôme Malick

Parallel implementations of stochastic gradient descent (SGD) have received significant research attention, thanks to excellent scalability properties of this algorithm, and to its efficiency in the context of training deep neural networks.…

Machine Learning · Computer Science 2017-12-07 Dan Alistarh , Demjan Grubic , Jerry Li , Ryota Tomioka , Milan Vojnovic

Decentralized optimization is typically studied under the assumption of noise-free transmission. However, real-world scenarios often involve the presence of noise due to factors such as additive white Gaussian noise channels or…

Optimization and Control · Mathematics 2023-07-28 Suhail M. Shah , Raghu Bollapragada

Over the last decades, Stochastic Gradient Descent (SGD) has been intensively studied by the Machine Learning community. Despite its versatility and excellent performance, the optimization of large models via SGD still is a time-consuming…

Machine Learning · Computer Science 2025-12-01 Mauro DL Tosi , Martin Theobald

In federated distributed learning, the goal is to optimize a global training objective defined over distributed devices, where the data shard at each device is sampled from a possibly different distribution (a.k.a., heterogeneous or non…

Machine Learning · Computer Science 2019-12-10 Farzin Haddadpour , Mehrdad Mahdavi

In decentralized networks (of sensors, connected objects, etc.), there is an important need for efficient algorithms to optimize a global cost function, for instance to learn a global model from the local data collected by each computing…

Machine Learning · Statistics 2019-01-25 Igor Colin , Aurélien Bellet , Joseph Salmon , Stéphan Clémençon

Mini-batch stochastic gradient methods (SGD) are state of the art for distributed training of deep neural networks. Drastic increases in the mini-batch sizes have lead to key efficiency and scalability gains in recent years. However,…

Machine Learning · Computer Science 2020-02-18 Tao Lin , Sebastian U. Stich , Kumar Kshitij Patel , Martin Jaggi

We propose an asynchronous, decentralized algorithm for consensus optimization. The algorithm runs over a network in which the agents communicate with their neighbors and perform local computation. In the proposed algorithm, each agent can…

Optimization and Control · Mathematics 2017-03-06 Tianyu Wu , Kun Yuan , Qing Ling , Wotao Yin , Ali H. Sayed

We consider centralized distributed optimization in the classical federated learning setup, where $n$ workers jointly find an $\varepsilon$-stationary point of an $L$-smooth, $d$-dimensional nonconvex function $f$, having access only to…

Optimization and Control · Mathematics 2026-03-31 Alexander Tyurin

Decentralized min-max optimization allows multi-agent systems to collaboratively solve global min-max optimization problems by facilitating the exchange of model updates among neighboring agents, eliminating the need for a central server.…

Machine Learning · Computer Science 2025-08-12 Yueyang Quan , Chang Wang , Shengjie Zhai , Minghong Fang , Zhuqing Liu

This paper develops a communication-efficient algorithm to solve the stochastic optimization problem defined over a distributed network, aiming at reducing the burdensome communication in applications such as distributed machine…

Machine Learning · Statistics 2020-01-06 Weiyu Li , Tianyi Chen , Liping Li , Zhaoxian Wu , Qing Ling

Distributed training of deep learning models on large-scale training data is typically conducted with asynchronous stochastic optimization to maximize the rate of updates, at the cost of additional noise introduced from asynchrony. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-21 Xinghao Pan , Jianmin Chen , Rajat Monga , Samy Bengio , Rafal Jozefowicz

Distributed training of deep learning models on large-scale training data is typically conducted with asynchronous stochastic optimization to maximize the rate of updates, at the cost of additional noise introduced from asynchrony. In…

Machine Learning · Computer Science 2017-03-22 Jianmin Chen , Xinghao Pan , Rajat Monga , Samy Bengio , Rafal Jozefowicz

One of the most widely used methods for solving large-scale stochastic optimization problems is distributed asynchronous stochastic gradient descent (DASGD), a family of algorithms that result from parallelizing stochastic gradient descent…

Optimization and Control · Mathematics 2021-07-08 Zhengyuan Zhou , Panayotis Mertikopoulos , Nicholas Bambos , Peter W. Glynn , Yinyu Ye

This paper studies the problem of error-runtime trade-off, typically encountered in decentralized training based on stochastic gradient descent (SGD) using a given network. While a denser (sparser) network topology results in faster…

Machine Learning · Computer Science 2019-11-19 Jianyu Wang , Anit Kumar Sahu , Zhouyi Yang , Gauri Joshi , Soummya Kar

Decentralized optimization is widely used in large scale and privacy preserving machine learning and various distributed control and sensing systems. It is assumed that every agent in the network possesses a local objective function, and…

Optimization and Control · Mathematics 2023-01-31 Savelii Chezhegov , Anton Novitskii , Alexander Rogozin , Sergei Parsegov , Pavel Dvurechensky , Alexander Gasnikov
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