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Block-coordinate descent algorithms and alternating minimization methods are fundamental optimization algorithms and an important primitive in large-scale optimization and machine learning. While various block-coordinate-descent-type…

Optimization and Control · Mathematics 2019-07-02 Jelena Diakonikolas , Lorenzo Orecchia

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…

Optimization and Control · Mathematics 2020-07-14 Xiuxian Li , Gang Feng , Lihua Xie

This paper presents a distributed continuous-time optimization framework aimed at overcoming the challenges posed by time-varying cost functions and constraints in multi-agent systems, particularly those subject to disturbances. By…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Zeinab Ebrahimi , Mohammad Deghat

We consider cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific possibly…

Optimization and Control · Mathematics 2017-06-27 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

This paper focuses on the distributed online convex optimization problem with time-varying inequality constraints over a network of agents, where each agent collaborates with its neighboring agents to minimize the cumulative network-wide…

Optimization and Control · Mathematics 2024-05-06 Kunpeng Zhang , Xinlei Yi , Yuzhe Li , Ming Cao , Tianyou Chai , Tao Yang

This paper studies distributed stochastic nonconvex optimization problems with compressed communication and differential privacy, in which each agent aims to minimize the sum of all agents' cost functions by using local compressed…

Optimization and Control · Mathematics 2026-03-24 Antai Xie , Xiaoqiang Ren , Xinlei Yi , Tao Yang , Xiaofan Wang

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

We develop randomized (block) coordinate descent (CD) methods for linearly constrained convex optimization. Unlike most CD methods, we do not assume the constraints to be separable, but let them be coupled linearly. To our knowledge, ours…

Optimization and Control · Mathematics 2015-06-11 Sashank Reddi , Ahmed Hefny , Carlton Downey , Avinava Dubey , Suvrit Sra

This paper considers distributed online nonconvex optimization with time-varying inequality constraints over a network of agents, where the nonconvex local loss and convex local constraint functions can vary arbitrarily across iterations.…

Optimization and Control · Mathematics 2025-11-19 Kunpeng Zhang , Lei Xu , Xinlei Yi , Guanghui Wen , Ming Cao , Karl H. Johansson , Tianyou Chai , Tao Yang

We propose a new \textit{randomized Bregman (block) coordinate descent} (RBCD) method for minimizing a composite problem, where the objective function could be either convex or nonconvex, and the smooth part are freed from the global…

Optimization and Control · Mathematics 2020-01-16 Tianxiang Gao , Songtao Lu , Jia Liu , Chris Chu

Distributed optimization has gained significant attention in recent years, primarily fueled by the availability of a large amount of data and privacy-preserving requirements. This paper presents a fixed-time convergent optimization…

Systems and Control · Computer Science 2022-05-30 Kunal Garg , Mayank Baranwal

Momentum method has been used extensively in optimizers for deep learning. Recent studies show that distributed training through K-step averaging has many nice properties. We propose a momentum method for such model averaging approaches. At…

Machine Learning · Computer Science 2021-10-05 Guojing Cong , Tianyi Liu

Stochastic convex optimization algorithms are the most popular way to train machine learning models on large-scale data. Scaling up the training process of these models is crucial, but the most popular algorithm, Stochastic Gradient Descent…

Machine Learning · Statistics 2018-10-30 Ashok Cutkosky , Robert Busa-Fekete

Block-coordinate descent (BCD) is the method of choice to solve numerous large scale optimization problems, however their theoretical study for non-convex optimization, has received less attention. In this paper, we present a new…

Machine Learning · Computer Science 2026-01-30 Guillaume Lauga

We study finite-time performance of a recently proposed distributed dual subgradient (DDSG) method for convex constrained multi-agent optimization problems. The algorithm enjoys performance guarantees on the last primal iterate, as opposed…

Optimization and Control · Mathematics 2023-07-28 Subhonmesh Bose , Hoa Dinh Nguyen , Haitian Liu , Ye Guo , Thinh T. Doan , Carolyn L. Beck

This paper proposes a distributed stochastic projection-free algorithm for large-scale constrained finite-sum optimization whose constraint set is complicated such that the projection onto the constraint set can be expensive. The global…

Optimization and Control · Mathematics 2022-04-25 Xia Jiang , Xianlin Zeng , Lihua Xie , Jian Sun , Jie Chen

Distributed optimization problems have received much attention due to their privacy preservation, parallel computation, less communication, and strong robustness. This paper presents and studies the time-varying distributed optimization…

Optimization and Control · Mathematics 2025-03-18 Wan-ying Li , Nan-jing Huang

It is always a challenging task to service sudden events in non-convex and uncertain environments, and multi-agent coverage control provides a powerful theoretical framework to investigate the deployment problem of mobile robotic networks…

Optimization and Control · Mathematics 2022-09-07 Chao Zhai , Pengyang Fan

Decentralized optimization over time-varying networks has a wide range of applications in distributed learning, signal processing and various distributed control problems. The agents of the distributed system locally hold optimization…

Optimization and Control · Mathematics 2023-12-14 Alexander Rogozin , Alexander Gasnikov , Aleksander Beznosikov , Dmitry Kovalev

This paper is mainly devoted to the distributed second-order multi-agent optimization problem with unbalanced and directed networks. To deal with this problem, a new distributed algorithm is proposed based on the local neighbor information…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Lipo Mo , Haokun Hu , Yongguang Yu , Guojian Ren