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We consider distributed convex optimization problems originated from sample average approximation of stochastic optimization, or empirical risk minimization in machine learning. We assume that each machine in the distributed computing…

最优化与控制 · 数学 2015-01-05 Yuchen Zhang , Lin Xiao

This paper proposes a novel class of distributed continuous-time coordination algorithms to solve network optimization problems whose cost function is a sum of local cost functions associated to the individual agents. We establish the…

最优化与控制 · 数学 2014-08-25 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

Given an undirected graph $\mathcal{G}=(\mathcal{N},\mathcal{E})$ of agents $\mathcal{N}=\{1,\ldots,N\}$ connected with edges in $\mathcal{E}$, we study how to compute an optimal decision on which there is consensus among agents and that…

最优化与控制 · 数学 2017-01-03 Necdet Serhat Aybat , Zi Wang , Tianyi Lin , Shiqian Ma

In this paper, we study decentralized empirical risk minimization problems, where the goal is to minimize a finite-sum of smooth and strongly-convex functions available over a network of nodes. In this Part I, we propose…

最优化与控制 · 数学 2019-12-12 Ran Xin , Usman A. Khan , Soummya Kar

Conditional stochastic optimization has found applications in a wide range of machine learning tasks, such as invariant learning, AUPRC maximization, and meta-learning. As the demand for training models with large-scale distributed data…

机器学习 · 计算机科学 2023-10-05 Xidong Wu , Jianhui Sun , Zhengmian Hu , Junyi Li , Aidong Zhang , Heng Huang

We study a class of stochastic nonconvex optimization in the form of $\min_{x\in\mathcal{X}} F(x):=\mathbb{E}_\xi [f(\phi(x,\xi))]$, i.e., $F$ is a composition of a convex function $f$ and a random function $\phi$. Leveraging an (implicit)…

最优化与控制 · 数学 2024-07-16 Xin Chen , Niao He , Yifan Hu , Zikun Ye

Stochastic gradient descent (SGD) is one of the most widely used optimization methods for parallel and distributed processing of large datasets. One of the key limitations of distributed SGD is the need to regularly communicate the…

最优化与控制 · 数学 2018-10-25 Xiaojian Xu , Ulugbek S. Kamilov

With the purpose of examining biased updates in variance-reduced stochastic gradient methods, we introduce SVAG, a SAG/SAGA-like method with adjustable bias. SVAG is analyzed in a cocoercive root-finding setting, a setting which yields the…

最优化与控制 · 数学 2022-10-19 Martin Morin , Pontus Giselsson

Federated learning is a distributed machine learning paradigm in which a large number of clients coordinate with a central server to learn a model without sharing their own training data. Standard federated optimization methods such as…

We propose a randomized first order optimization method--SEGA (SkEtched GrAdient method)-- which progressively throughout its iterations builds a variance-reduced estimate of the gradient from random linear measurements (sketches) of the…

最优化与控制 · 数学 2018-10-19 Filip Hanzely , Konstantin Mishchenko , Peter Richtarik

In this paper, we propose a distributed algorithm for stochastic smooth, non-convex optimization. We assume a worker-server architecture where $N$ nodes, each having $n$ (potentially infinite) number of samples, collaborate with the help of…

In federated learning (FL), model training performance is strongly impacted by data heterogeneity across clients. Client-drift compensation methods have recently emerged as a solution to this issue, introducing correction terms into local…

机器学习 · 计算机科学 2025-05-20 Evan Chen , Shiqiang Wang , Jianing Zhang , Dong-Jun Han , Chaoyue Liu , Christopher Brinton

In federated learning (FL) systems, e.g., wireless networks, the communication cost between the clients and the central server can often be a bottleneck. To reduce the communication cost, the paradigm of communication compression has become…

机器学习 · 统计学 2022-11-28 Xiaoyun Li , Ping Li

Federated Learning (FL) is a nascent decentralized learning framework under which a massive collection of heterogeneous clients collaboratively train a model without revealing their local data. Scarce communication, privacy leakage, and…

机器学习 · 计算机科学 2023-02-21 Ming Xiang , Lili Su

Federated learning is a popular distributed and privacy-preserving learning paradigm in machine learning. Recently, some federated learning algorithms have been proposed to solve the distributed minimax problems. However, these federated…

机器学习 · 计算机科学 2024-03-01 Feihu Huang , Xinrui Wang , Junyi Li , Songcan Chen

Federated learning (FL) allows multiple clients cooperatively train models without disclosing local data. However, the existing works fail to address all these practical concerns in FL: limited communication resources, dynamic network…

分布式、并行与集群计算 · 计算机科学 2022-12-20 Zhida Jiang , Yang Xu , Hongli Xu , Zhiyuan Wang , Chen Qian

We study decentralized non-convex finite-sum minimization problems described over a network of nodes, where each node possesses a local batch of data samples. In this context, we analyze a single-timescale randomized incremental gradient…

最优化与控制 · 数学 2021-10-04 Ran Xin , Usman A. Khan , Soummya Kar

We present a unified framework for analyzing local SGD methods in the convex and strongly convex regimes for distributed/federated training of supervised machine learning models. We recover several known methods as a special case of our…

机器学习 · 计算机科学 2020-11-06 Eduard Gorbunov , Filip Hanzely , Peter Richtárik

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…

机器学习 · 计算机科学 2019-04-11 Ran Xin , Anit Kumar Sahu , Usman A. Khan , Soummya Kar

Federated learning (FL) has emerged as a communication-efficient algorithmic framework for distributed learning across multiple agents. While standard FL formulations capture unconstrained or globally constrained problems, many practical…

机器学习 · 计算机科学 2026-03-23 Mohammadjavad Ebrahimi , Daniel Burbano , Farzad Yousefian