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We propose an innovative algorithm for non-convex composite federated learning that decouples the proximal operator evaluation and the communication between server and clients. Moreover, each client uses local updates to communicate less…

Machine Learning · Computer Science 2025-02-07 Jiaojiao Zhang , Jiang Hu , Mikael Johansson

Multi-robot Coverage Path Planning (MCPP) addresses the problem of computing paths for multiple robots to effectively cover a large area of interest. Conventional approaches to MCPP typically assume that robots move at fixed velocities,…

Robotics · Computer Science 2025-09-30 Jun Chen , Mingjia Chen , Shinkyu Park

In this paper we present a novel randomized block coordinate descent method for the minimization of a convex composite objective function. The method uses (approximate) partial second-order (curvature) information, so that the algorithm…

Optimization and Control · Mathematics 2015-05-11 Kimon Fountoulakis , Rachael Tappenden

The paper studies decentralized optimization over networks, where agents minimize a composite objective consisting of the sum of smooth convex functions--the agents' losses--and an additional nonsmooth convex extended value function. We…

Optimization and Control · Mathematics 2025-08-05 Xiaokai Chen , Ilya Kuruzov , Gesualdo Scutari , Alexander Gasnikov

Existing large-scale optimization schemes are challenged by both scalability and cyber-security. With the favorable scalability, adaptability, and flexibility, decentralized and distributed optimization paradigms are widely adopted in…

Optimization and Control · Mathematics 2020-12-23 Xiang Huo , Mingxi Liu

Modern applied optimization problems become more and more complex every day. Due to this fact, distributed algorithms that can speed up the process of solving an optimization problem through parallelization are of great importance. The main…

Optimization and Control · Mathematics 2023-12-14 Svetlana Tkachenko , Artem Andreev , Aleksandr Beznosikov , Alexander Gasnikov

This technical note proposes the decentralized-partial-consensus optimization with inequality constraints, and a continuous-time algorithm based on multiple interconnected recurrent neural networks (RNNs) is derived to solve the obtained…

Optimization and Control · Mathematics 2021-03-23 Zicong Xia , Yang Liu , Jianlong Qiu , Qihua Ruan , Jinde Cao

Decentralized optimization over directed graphs is essential for applications such as robotic swarms, sensor networks, and distributed learning. In many practical scenarios, the underlying network takes the form of a Time-Varying Broadcast…

Optimization and Control · Mathematics 2026-02-24 Liyuan Liang , Yilong Song , Kun Yuan

A key challenge in decentralized optimization is determining the optimal convergence rate and designing algorithms to achieve it. While this problem has been extensively addressed for doubly-stochastic and column-stochastic mixing matrices,…

Optimization and Control · Mathematics 2025-06-06 Liyuan Liang , Xinyi Chen , Gan Luo , Kun Yuan

We consider cooperative multi-agent consensus optimization problems over an undirected network of agents, where only those agents connected by an edge can directly communicate. The objective is to minimize the sum of agent-specific…

Optimization and Control · Mathematics 2016-07-12 Necdet Serhat Aybat , Erfan Yazdandoost Hamedani

Distributed stochastic optimization, arising in the crossing and integration of traditional stochastic optimization, distributed computing and storage, and network science, has advantages of high efficiency and a low per-iteration…

Optimization and Control · Mathematics 2025-05-20 Jinhui Hu , Guo Chen , Huaqing Li , Zixiang Shen , Weidong Zhang

We develop a new approach to tackle communication constraints in a distributed learning problem with a central server. We propose and analyze a new algorithm that performs bidirectional compression and achieves the same convergence rate as…

Machine Learning · Computer Science 2022-06-17 Constantin Philippenko , Aymeric Dieuleveut

In this paper, the average consensus problem has been considered for directed unbalanced networks under finite bit-rate communication. We propose the Push-Pull Average Consensus algorithm with Dynamic Compression (PP-ACDC) algorithm, a…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Evagoras Makridis , Gabriele Oliva , Apostolos I. Rikos , Themistoklis Charalambous

Network-distributed optimization has attracted significant attention in recent years due to its ever-increasing applications. However, the classic decentralized gradient descent (DGD) algorithm is communication-inefficient for large-scale…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-09 Xin Zhang , Jia Liu , Zhengyuan Zhu , Elizabeth S. Bentley

Collaboration requires agents to align their goals on the fly. Underlying the human ability to align goals with other agents is their ability to predict the intentions of others and actively update their own plans. We propose hierarchical…

Multiagent Systems · Computer Science 2020-11-10 Rose E. Wang , J. Chase Kew , Dennis Lee , Tsang-Wei Edward Lee , Tingnan Zhang , Brian Ichter , Jie Tan , Aleksandra Faust

In this paper, we propose a communication- and computation-efficient algorithm to solve a convex consensus optimization problem defined over a decentralized network. A remarkable existing algorithm to solve this problem is the alternating…

Optimization and Control · Mathematics 2020-04-09 Weiyu Li , Yaohua Liu , Zhi Tian , Qing Ling

This paper studies the stochastic distributed nonconvex optimization problem over a network of agents, where agents only access stochastic zeroth-order information about their local cost functions and collaboratively optimize the global…

Optimization and Control · Mathematics 2025-09-01 Haonan Wang , Xinlei Yi , Yiguang Hong

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…

Optimization and Control · Mathematics 2014-08-25 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

In this paper, we study the problem of consensus-based distributed optimization where a network of agents, abstracted as a directed graph, aims to minimize the sum of all agents' cost functions collaboratively. In existing distributed…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Xiaomeng Chen , Lingying Huang , Lidong He , Subhrakanti Dey , Ling Shi

Achieving communication efficiency in decentralized machine learning has been attracting significant attention, with communication compression recognized as an effective technique in algorithm design. This paper takes a first step to…

Machine Learning · Computer Science 2023-05-18 Boyue Li , Yuejie Chi
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