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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…

最优化与控制 · 数学 2016-08-25 Sashank J. Reddi , Jakub Konečný , Peter Richtárik , Barnabás Póczós , Alex Smola

We study distributed algorithms for expected loss minimization where the datasets are large and have to be stored on different machines. Often we deal with minimizing the average of a set of convex functions where each function is the…

机器学习 · 计算机科学 2019-07-24 Samira Sheikhi

The DANE algorithm is an approximate Newton method popularly used for communication-efficient distributed machine learning. Reasons for the interest in DANE include scalability and versatility. Convergence of DANE, however, can be tricky;…

机器学习 · 统计学 2019-08-07 Xiao-Tong Yuan , Ping Li

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…

机器学习 · 统计学 2020-09-02 Boyue Li , Shicong Cen , Yuxin Chen , Yuejie Chi

Federated learning is a distributed optimization paradigm that allows training machine learning models across decentralized devices while keeping the data localized. The standard method, FedAvg, suffers from client drift which can hamper…

机器学习 · 计算机科学 2024-04-15 Xiaowen Jiang , Anton Rodomanov , Sebastian U. Stich

This paper considers the distributed optimization problem where each node of a peer-to-peer network minimizes a finite sum of objective functions by communicating with its neighboring nodes. In sharp contrast to the existing literature…

最优化与控制 · 数学 2022-01-17 Jiaqi Zhang , Keyou You , Tamer Başar

There is growing interest in applying distributed machine learning to edge computing, forming federated edge learning. Federated edge learning faces non-i.i.d. and heterogeneous data, and the communication between edge workers, possibly…

机器学习 · 计算机科学 2022-01-27 Canh T. Dinh , Nguyen H. Tran , Tuan Dung Nguyen , Wei Bao , Amir Rezaei Balef , Bing B. Zhou , Albert Y. Zomaya

Federated learning aims to jointly learn statistical models over massively distributed remote devices. In this work, we propose FedDANE, an optimization method that we adapt from DANE, a method for classical distributed optimization, to…

机器学习 · 计算机科学 2020-01-08 Tian Li , Anit Kumar Sahu , Manzil Zaheer , Maziar Sanjabi , Ameet Talwalkar , Virginia Smith

This paper focuses on the distributed optimization of stochastic saddle point problems. The first part of the paper is devoted to lower bounds for the centralized and decentralized distributed methods for smooth (strongly) convex-(strongly)…

机器学习 · 计算机科学 2025-04-28 Aleksandr Beznosikov , Valentin Samokhin , Alexander Gasnikov

This paper considers distributed optimization problems, where each agent cooperatively minimizes the sum of local objective functions through the communication with its neighbors. The widely adopted distributed gradient method in solving…

最优化与控制 · 数学 2025-08-19 Yeming Xu , Ziyuan Guo , Kaihong Lu , Huanshui Zhang

Federated learning (FL) is a subfield of machine learning where multiple clients try to collaboratively learn a model over a network under communication constraints. We consider finite-sum federated optimization under a second-order…

机器学习 · 计算机科学 2023-05-24 Ahmed Khaled , Chi Jin

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

机器学习 · 计算机科学 2017-07-06 Jakub Konečný

Most algorithms for solving optimization problems or finding saddle points of convex-concave functions are fixed-point algorithms. In this work we consider the generic problem of finding a fixed point of an average of operators, or an…

机器学习 · 计算机科学 2020-06-17 Grigory Malinovsky , Dmitry Kovalev , Elnur Gasanov , Laurent Condat , Peter Richtárik

In this paper, we consider distributed algorithms for solving the empirical risk minimization problem under the master/worker communication model. We develop a distributed asynchronous quasi-Newton algorithm that can achieve superlinear…

This paper aims to address distributed optimization problems over directed and time-varying networks, where the global objective function consists of a sum of locally accessible convex objective functions subject to a feasible set…

最优化与控制 · 数学 2020-07-14 Xiuxian Li , Gang Feng , Lihua Xie

In this paper, we propose a distributed stochastic second-order proximal method that enables agents in a network to cooperatively minimize the sum of their local loss functions without any centralized coordination. The proposed algorithm,…

最优化与控制 · 数学 2022-11-22 Chenyang Qiu , Shanying Zhu , Zichong Ou , Jie Lu

Distributed cooperative localization in wireless networks is a challenging problem since it typically requires solving a large-scale nonconvex and nonsmooth optimization problem. In this paper, we reformulate the classic cooperative…

最优化与控制 · 数学 2023-08-08 Mei Zhang , Zhiguo Wang , Feng Yin , Xiaojing Shen

In this paper, a class of Decentralized Approximate Newton (DEAN) methods for addressing convex optimization on a networked system are developed, where nodes in the networked system seek for a consensus that minimizes the sum of their…

最优化与控制 · 数学 2020-12-01 Hejie Wei , Zhihai Qu , Xuyang Wu , Hao Wang , Jie Lu

This paper presents a distributed resource allocation algorithm to jointly optimize the power allocation, channel allocation and relay selection for decode-and-forward (DF) relay networks with a large number of sources, relays, and…

信息论 · 计算机科学 2015-03-19 Yin Sun , Zhoujia Mao , Xiaofeng Zhong , Yuanzhang Xiao , Shidong Zhou , Ness B. Shroff

We consider distributed optimization as motivated by machine learning in a multi-agent system: each agent holds local data and the goal is to minimize an aggregate loss function over a common model, via an interplay of local training and…

最优化与控制 · 数学 2025-04-08 Dingran Yi , Fanhao Zeng , Nikolaos M. Freris
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