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In this paper, we showcase the interplay between discrete and continuous optimization in network-structured settings. We propose the first fully decentralized optimization method for a wide class of non-convex objective functions that…

最优化与控制 · 数学 2018-02-13 Aryan Mokhtari , Hamed Hassani , Amin Karbasi

Gradient compression with error compensation has attracted significant attention with the target of reducing the heavy communication overhead in distributed learning. However, existing compression methods either perform only unidirectional…

机器学习 · 计算机科学 2024-02-20 Yifei Cheng , Li Shen , Linli Xu , Xun Qian , Shiwei Wu , Yiming Zhou , Tie Zhang , Dacheng Tao , Enhong Chen

Bilevel optimization have gained growing interests, with numerous applications found in meta learning, minimax games, reinforcement learning, and nested composition optimization. This paper studies the problem of distributed bilevel…

机器学习 · 统计学 2022-06-23 Shuoguang Yang , Xuezhou Zhang , Mengdi Wang

Emerging applications in multi-agent environments such as internet-of-things, networked sensing, autonomous systems and federated learning, call for decentralized algorithms for finite-sum optimizations that are resource-efficient in terms…

机器学习 · 统计学 2021-12-03 Boyue Li , Zhize Li , Yuejie Chi

We study distributed (strongly convex) optimization problems over a network of agents, with no centralized nodes. The loss functions of the agents are assumed to be \textit{similar}, due to statistical data similarity or otherwise. In order…

最优化与控制 · 数学 2022-04-12 Ye Tian , Gesualdo Scutari , Tianyu Cao , Alexander Gasnikov

In large-scale federated and decentralized learning, communication efficiency is one of the most challenging bottlenecks. While gossip communication -- where agents can exchange information with their connected neighbors -- is more…

机器学习 · 计算机科学 2025-02-25 He Wang , Yuejie Chi

This paper considers the problem of decentralized optimization on compact submanifolds, where a finite sum of smooth (possibly non-convex) local functions is minimized by $n$ agents forming an undirected and connected graph. However, the…

最优化与控制 · 数学 2025-06-10 Jun Chen , Lina Liu , Tianyi Zhu , Yong Liu , Guang Dai , Yunliang Jiang , Ivor W. Tsang

We develop two compression based stochastic gradient algorithms to solve a class of non-smooth strongly convex-strongly concave saddle-point problems in a decentralized setting (without a central server). Our first algorithm is a…

机器学习 · 计算机科学 2023-04-17 Chhavi Sharma , Vishnu Narayanan , P. Balamurugan

Training large models with distributed data parallelism (DDP) requires frequent communication of gradients across workers, which can saturate bandwidth. Infrequent communication strategies (e.g., Local SGD) reduce this overhead but, when…

We present and analyze a stochastic distributed method (S-NEAR-DGD) that can tolerate inexact computation and inaccurate information exchange to alleviate the problems of costly gradient evaluations and bandwidth-limited communication in…

最优化与控制 · 数学 2021-02-02 Charikleia Iakovidou , Ermin Wei

Compressed Stochastic Gradient Descent (SGD) algorithms have been recently proposed to address the communication bottleneck in distributed and decentralized optimization problems, such as those that arise in federated machine learning.…

机器学习 · 统计学 2022-07-21 Adarsh M. Subramaniam , Akshayaa Magesh , Venugopal V. Veeravalli

Communication compression is a common technique in distributed optimization that can alleviate communication overhead by transmitting compressed gradients and model parameters. However, compression can introduce information distortion,…

机器学习 · 计算机科学 2024-01-12 Yutong He , Xinmeng Huang , Kun Yuan

This paper proposes a new distributed nonconvex stochastic optimization algorithm that can achieve privacy protection, communication efficiency and convergence simultaneously. Specifically, each node adds general privacy noises to its local…

系统与控制 · 电气工程与系统科学 2025-08-06 Jialong Chen , Jimin Wang , Ji-Feng Zhang

Distributed parallel stochastic gradient descent algorithms are workhorses for large scale machine learning tasks. Among them, local stochastic gradient descent (Local SGD) has attracted significant attention due to its low communication…

机器学习 · 计算机科学 2020-12-16 Shuheng Shen , Yifei Cheng , Jingchang Liu , Linli Xu

Push-Sum-based decentralized learning enables optimization over directed communication networks, where information exchange may be asymmetric. While convergence properties of such methods are well understood, their finite-iteration…

机器学习 · 计算机科学 2026-02-25 Yifei Liang , Yan Sun , Xiaochun Cao , Li Shen

Decentralized optimization is well studied for smooth unconstrained problems. However, constrained problems or problems with composite terms are an open direction for research. We study structured (or composite) optimization problems, where…

最优化与控制 · 数学 2023-04-10 Alexander Rogozin , Anton Novitskii , Alexander Gasnikov

Decentralized SGD is an emerging training method for deep learning known for its much less (thus faster) communication per iteration, which relaxes the averaging step in parallel SGD to inexact averaging. The less exact the averaging is,…

机器学习 · 计算机科学 2021-10-27 Bicheng Ying , Kun Yuan , Yiming Chen , Hanbin Hu , Pan Pan , Wotao Yin

We consider distributed optimization under communication constraints for training deep learning models. We propose a new algorithm, whose parameter updates rely on two forces: a regular gradient step, and a corrective direction dictated by…

机器学习 · 计算机科学 2022-04-29 Yunfei Teng , Wenbo Gao , Francois Chalus , Anna Choromanska , Donald Goldfarb , Adrian Weller

This paper studies the stochastic nonconvex-strongly-concave minimax optimization over a multi-agent network. We propose an efficient algorithm, called Decentralized Recursive gradient descEnt Ascent Method (DREAM), which achieves the…

机器学习 · 计算机科学 2024-05-15 Lesi Chen , Haishan Ye , Luo Luo

We consider speeding up stochastic gradient descent (SGD) by parallelizing it across multiple workers. We assume the same data set is shared among $n$ workers, who can take SGD steps and coordinate with a central server. Unfortunately, this…

最优化与控制 · 数学 2020-06-05 Artin Spiridonoff , Alex Olshevsky , Ioannis Ch. Paschalidis