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There is growing interest in large-scale machine learning and optimization over decentralized networks, e.g. in the context of multi-agent learning and federated learning. Due to the imminent need to alleviate the communication burden, the…

Machine Learning · Statistics 2020-09-02 Boyue Li , Shicong Cen , Yuxin Chen , Yuejie Chi

This paper focuses on decentralized composite optimization over networks without a central coordinator. We propose a novel decentralized symmetric ADMM algorithm that incorporates multiple communication rounds within each iteration, derived…

Optimization and Control · Mathematics 2026-03-06 Jinrui Huang , Xueqin Wang , Dong Liu , Jingguo Lan , Runxiong Wu

In this paper, we present two new communication-efficient methods for distributed minimization of an average of functions. The first algorithm is an inexact variant of the DANE algorithm that allows any local algorithm to return an…

Optimization and Control · Mathematics 2016-08-25 Sashank J. Reddi , Jakub Konečný , Peter Richtárik , Barnabás Póczós , Alex Smola

Stochastic bilevel optimization tackles challenges involving nested optimization structures. Its fast-growing scale nowadays necessitates efficient distributed algorithms. In conventional distributed bilevel methods, each worker must…

Optimization and Control · Mathematics 2024-05-30 Yutong He , Jie Hu , Xinmeng Huang , Songtao Lu , Bin Wang , Kun Yuan

The distributed subgradient method (DSG) is a widely discussed algorithm to cope with large-scale distributed optimization problems in the arising machine learning applications. Most exisiting works on DSG focus on ideal communication…

Signal Processing · Electrical Eng. & Systems 2022-08-24 Zhaoyue Xia , Jun Du , Yong Ren

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

This work develops robust diffusion recursive least squares algorithms to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. The first algorithm minimizes an exponentially…

Machine Learning · Computer Science 2019-02-05 Y. Yu , H. Zhao , R. C. de Lamare , Y. Zakharov , L. Lu

The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

Optimization and Control · Mathematics 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

We present DUAL-LOCO, a communication-efficient algorithm for distributed statistical estimation. DUAL-LOCO assumes that the data is distributed according to the features rather than the samples. It requires only a single round of…

Machine Learning · Statistics 2016-08-04 Christina Heinze , Brian McWilliams , Nicolai Meinshausen

A common approach to statistical learning with big-data is to randomly split it among $m$ machines and learn the parameter of interest by averaging the $m$ individual estimates. In this paper, focusing on empirical risk minimization, or…

Machine Learning · Statistics 2016-06-14 Jonathan Rosenblatt , Boaz Nadler

Two-time-scale stochastic approximation is a popular iterative method for finding the solution of a system of two equations. Such methods have found broad applications in many areas, especially in machine learning and reinforcement…

Optimization and Control · Mathematics 2019-12-24 Thinh T. Doan , Justin Romberg

In this two-part paper, we consider multicomponent systems in which each component can iteratively exchange information with other components in its neighborhood in order to compute, in a distributed fashion, the average of the components'…

Systems and Control · Computer Science 2011-09-30 Nitin H. Vaidya , Christoforos N. Hadjicostis , Alejandro D. Dominguez-Garcia

We study sparse linear regression over a network of agents, modeled as an undirected graph and no server node. The estimation of the $s$-sparse parameter is formulated as a constrained LASSO problem wherein each agent owns a subset of the…

Machine Learning · Computer Science 2024-12-30 Marie Maros , Gesualdo Scutari , Ying Sun , Guang Cheng

In distributed optimization for large-scale learning, a major performance limitation comes from the communications between the different entities. When computations are performed by workers on local data while a coordinator machine…

Optimization and Control · Mathematics 2020-06-26 Dmitry Grishchenko , Franck Iutzeler , Jérôme Malick , Massih-Reza Amini

We consider distributed optimization methods for problems where forming the Hessian is computationally challenging and communication is a significant bottleneck. We leverage randomized sketches for reducing the problem dimensions as well as…

Optimization and Control · Mathematics 2022-03-21 Burak Bartan , Mert Pilanci

The scale of modern datasets necessitates the development of efficient distributed optimization methods for machine learning. We present a general-purpose framework for distributed computing environments, CoCoA, that has an efficient…

Machine Learning · Computer Science 2018-10-11 Virginia Smith , Simone Forte , Chenxin Ma , Martin Takac , Michael I. Jordan , Martin Jaggi

Adaptive networks are suitable for decentralized inference tasks, e.g., to monitor complex natural phenomena. Recent research works have intensively studied distributed optimization problems in the case where the nodes have to estimate a…

Multiagent Systems · Computer Science 2023-07-19 Jie Chen , Cédric Richard , Ali. H. Sayed

While distributed training is often viewed as a solution to optimizing linear models on increasingly large datasets, inter-machine communication costs of popular distributed approaches can dominate as data dimensionality increases. Recent…

Machine Learning · Computer Science 2024-06-05 Fred Lu , Ryan R. Curtin , Edward Raff , Francis Ferraro , James Holt

Gossip algorithms for distributed computation are attractive due to their simplicity, distributed nature, and robustness in noisy and uncertain environments. However, using standard gossip algorithms can lead to a significant waste in…

Information Theory · Computer Science 2009-11-13 Alexandros G. Dimakis , Anand D. Sarwate , Martin J. Wainwright

The principal support vector machines method (Li et al., 2011) is a powerful tool for sufficient dimension reduction that replaces original predictors with their low-dimensional linear combinations without loss of information. However, the…

Machine Learning · Statistics 2019-12-02 Jun Jin , Chao Ying , Zhou Yu