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Decentralized optimization methods have been in the focus of optimization community due to their scalability, increasing popularity of parallel algorithms and many applications. In this work, we study saddle point problems of sum type,…

Optimization and Control · Mathematics 2021-10-26 Aleksandr Beznosikov , Alexander Rogozin , Dmitry Kovalev , Alexander Gasnikov

Several high-throughput distributed data-processing applications require multi-hop processing of streams of data. These applications include continual processing on data streams originating from a network of sensors, composing a multimedia…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-26 Shah Asaduzzaman , Muthucumaru Maheswaran

The paper studies decentralized optimization over networks, where agents minimize a sum of {\it locally} smooth (strongly) convex losses and plus a nonsmooth convex extended value term. We propose decentralized methods wherein agents {\it…

Optimization and Control · Mathematics 2026-02-20 Xiaokai Chen , Ilya Kuruzov , Gesualdo Scutari

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…

Optimization and Control · Mathematics 2025-08-19 Yeming Xu , Ziyuan Guo , Kaihong Lu , Huanshui Zhang

Distributed allocation finds applications in many scenarios including CPU scheduling, distributed energy resource management, and networked coverage control. In this paper, we propose a fast convergent optimization algorithm with a tunable…

Signal Processing · Electrical Eng. & Systems 2024-01-30 Mohammadreza Doostmohammadian , Alireza Aghasi

Newton's method leverages curvature information to boost performance, and thus outperforms first-order methods for distributed learning problems. However, Newton's method is not practical in large-scale and heterogeneous learning…

Machine Learning · Computer Science 2024-12-18 Shuzhen Chen , Yuan Yuan , Youming Tao , Tianzhu Wang , Zhipeng Cai , Dongxiao Yu

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…

Machine Learning · Computer Science 2017-07-06 Jakub Konečný

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés

The purpose of this paper is to introduce two new classes of accelerated distributed proximal conjugate gradient algorithms for multi-agent constrained optimization problems; given as minimization of a function decomposed as a sum of M…

Optimization and Control · Mathematics 2024-06-21 Anteneh Getachew Gebrie

In this paper, we consider networks with topologies described by some connected undirected graph ${\mathcal{G}}=(V, E)$ and with some agents (fusion centers) equipped with processing power and local peer-to-peer communication, and…

Optimization and Control · Mathematics 2021-12-07 Nazar Emirov , Guohui Song , Qiyu Sun

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…

Optimization and Control · Mathematics 2015-01-05 Yuchen Zhang , Lin Xiao

Communication efficiency is a major bottleneck in the applications of distributed networks. To address the problem, the problem of quantized distributed optimization has attracted a lot of attention. However, most of the existing quantized…

Optimization and Control · Mathematics 2022-11-01 Yongyang Xiong , Ligang Wu , Keyou You , Lihua Xie

Recently a distributed algorithm has been proposed for multi-agent networks to solve a system of linear algebraic equations, by assuming each agent only knows part of the system and is able to communicate with nearest neighbors to update…

Optimization and Control · Mathematics 2016-03-15 Hong-Tai Cao , Travis E. Gibson , Shaoshuai Mou , Yang-Yu Liu

Distributed systems can be found in various applications, e.g., in robotics or autonomous driving, to achieve higher flexibility and robustness. Thereby, data flow centric applications such as Deep Neural Network (DNN) inference benefit…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-14 Fabian Kreß , El Mahdi El Annabi , Tim Hotfilter , Julian Hoefer , Tanja Harbaum , Juergen Becker

An inexact Newton type method for numerical minimization of convex piecewise quadratic functions is considered and its convergence is analyzed. Earlier, a similar method was successfully applied to optimizaton problems arising in numerical…

Optimization and Control · Mathematics 2019-01-11 Alexander I. Golikov , Igor E. Kaporin

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

Solving the non-convex optimal power flow (OPF) problem for large-scale power distribution systems is computationally expensive. An alternative is to solve the relaxed convex problem or linear approximated problem, but these methods lead to…

Systems and Control · Electrical Eng. & Systems 2022-11-09 Rabayet Sadnan , Anamika Dubey

This paper proposes a novel family of primal-dual-based distributed algorithms for smooth, convex, multi-agent optimization over networks that uses only gradient information and gossip communications. The algorithms can also employ…

Optimization and Control · Mathematics 2020-03-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

Motivated by applications in machine learning and statistics, we study distributed optimization problems over a network of processors, where the goal is to optimize a global objective composed of a sum of local functions. In these problems,…

Optimization and Control · Mathematics 2019-05-14 Thinh T. Doan , Carolyn L. Beck , R. Srikant

Network Utility Maximisation (NUM) addresses the problem of allocating resources fairly within a network and explores the ways to achieve optimal allocation in real-world networks. Although extensively studied in classical networks, NUM is…

Networking and Internet Architecture · Computer Science 2024-07-25 Sounak Kar , Stephanie Wehner