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In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

In this work, we introduce ADAPD, $\textbf{A}$ $\textbf{D}$ecentr$\textbf{A}$lized $\textbf{P}$rimal-$\textbf{D}$ual algorithmic framework for solving non-convex and smooth consensus optimization problems over a network of distributed…

Optimization and Control · Mathematics 2023-02-07 Gabriel Mancino-Ball , Yangyang Xu , Jie Chen

We study distributed adaptive algorithms with local updates (intermittent communication). Despite the great empirical success of adaptive methods in distributed training of modern machine learning models, the theoretical benefits of local…

Machine Learning · Computer Science 2025-02-13 Ziheng Cheng , Margalit Glasgow

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 \citep{Yangnips13}, the author presented distributed stochastic dual coordinate ascent (DisDCA) algorithms for solving large-scale regularized loss minimization. Extraordinary performances have been observed and reported for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-25 Tianbao Yang , Shenghuo Zhu , Rong Jin , Yuanqing Lin

In this thesis, we propose new theoretical frameworks for the analysis of stochastic and distributed methods with error compensation and local updates. Using these frameworks, we develop more than 20 new optimization methods, including the…

Optimization and Control · Mathematics 2021-12-21 Eduard Gorbunov

Stochastic gradient descent (SGD) is a widely adopted iterative method for optimizing differentiable objective functions. In this paper, we propose and discuss a novel approach to scale up SGD in applications involving non-convex functions…

Machine Learning · Statistics 2022-10-07 Saad Mohamad , Hamad Alamri , Abdelhamid Bouchachia

Decentralized bilevel optimization has received increasing attention recently due to its foundational role in many emerging multi-agent learning paradigms (e.g., multi-agent meta-learning and multi-agent reinforcement learning) over…

Machine Learning · Computer Science 2023-01-23 Peiwen Qiu , Yining Li , Zhuqing Liu , Prashant Khanduri , Jia Liu , Ness B. Shroff , Elizabeth Serena Bentley , Kurt Turck

In this paper, we study distributed algorithms for large-scale AUC maximization with a deep neural network as a predictive model. Although distributed learning techniques have been investigated extensively in deep learning, they are not…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-12 Zhishuai Guo , Mingrui Liu , Zhuoning Yuan , Li Shen , Wei Liu , Tianbao Yang

We study the performance of decentralized stochastic gradient descent (DSGD) in a wireless network, where the nodes collaboratively optimize an objective function using their local datasets. Unlike the conventional setting, where the nodes…

Signal Processing · Electrical Eng. & Systems 2020-03-10 Emre Ozfatura , Stefano Rini , Deniz Gunduz

We propose a flexible gradient tracking approach with adjustable computation and communication steps for solving distributed stochastic optimization problem over networks. The proposed method allows each node to perform multiple local…

Optimization and Control · Mathematics 2023-06-13 Yan Huang , Jinming Xu

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

Distributed stochastic gradient descent is an important subroutine in distributed learning. A setting of particular interest is when the clients are mobile devices, where two important concerns are communication efficiency and the privacy…

Machine Learning · Statistics 2018-05-29 Naman Agarwal , Ananda Theertha Suresh , Felix Yu , Sanjiv Kumar , H. Brendan Mcmahan

Decentralized training has been actively studied in recent years. Although a wide variety of methods have been proposed, yet the decentralized momentum SGD method is still underexplored. In this paper, we propose a novel periodic…

Machine Learning · Computer Science 2020-08-25 Hongchang Gao , Heng Huang

We devise a distributed asynchronous stochastic epsilon-gradient-based algorithm to enable a network of computing and communicating nodes to solve a constrained discrete-time time-varying stochastic convex optimization problem. Each node…

Optimization and Control · Mathematics 2014-10-02 Andrea Simonetto , Leon Kester , Geert Leus

Decentralized stochastic optimization has emerged as a fundamental paradigm for large-scale machine learning. However, practical implementations often rely on biased gradient estimators arising from communication compression or inexact…

Optimization and Control · Mathematics 2026-04-10 Qing Xu , Yiwei Liao , Wenqi Fan , Xingxing You , Songyi Dian

Large-scale distributed optimization is of great importance in various applications. For data-parallel based distributed learning, the inter-node gradient communication often becomes the performance bottleneck. In this paper, we propose the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-22 Jiaxiang Wu , Weidong Huang , Junzhou Huang , Tong Zhang

This paper studies decentralized stochastic nonconvex optimization problem over row-stochastic networks. We consider the heavy-tailed gradient noise which is empirically observed in many popular real-world applications. Specifically, we…

Optimization and Control · Mathematics 2026-01-19 Menglian Wang , Zhuanghua Liu , Luo Luo

We consider distributed convex optimization problems that involve a separable objective function and nontrivial functional constraints, such as Linear Matrix Inequalities (LMIs). We propose a decentralized and computationally inexpensive…

Optimization and Control · Mathematics 2018-01-22 Soomin Lee , Michael M. Zavlanos

In this paper, we study distributed stochastic optimization to minimize a sum of smooth and strongly-convex local cost functions over a network of agents, communicating over a strongly-connected graph. Assuming that each agent has access to…

Machine Learning · Computer Science 2019-04-11 Ran Xin , Anit Kumar Sahu , Usman A. Khan , Soummya Kar