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The Douglas-Rachford algorithm is one of the most prominent splitting algorithms for solving convex optimization problems. Recently, the method has been successful in finding a generalized solution (provided that one exists) for…

最优化与控制 · 数学 2022-06-16 Walaa M. Moursi

We study distributed convex optimization with two ubiquitous forms of coupling: consensus constraints and global affine equalities. We first design a linearized method of multipliers for the consensus optimization problem. Without…

最优化与控制 · 数学 2025-11-26 Chenyang Qiu , Zongli Lin

In this paper, we propose a novel distributed alternating direction method of multipliers (ADMM) algorithm with synergetic communication and computation, called SCCD-ADMM, to reduce the total communication and computation cost of the…

信号处理 · 电气工程与系统科学 2020-09-30 Zhuojun Tian , Zhaoyang Zhang , Jue Wang , Xiaoming Chen , Wei Wang , Huaiyu Dai

The Douglas-Rachford algorithm is a classical and very successful method for solving optimization and feasibility problems. In this paper, we provide novel conditions sufficient for finite convergence in the context of convex feasibility…

最优化与控制 · 数学 2020-04-14 Heinz H. Bauschke , Minh N. Dao , Dominikus Noll , Hung M. Phan

In this paper we present a novel derivation for an existing node-based algorithm for distributed optimisation termed the primal-dual method of multipliers (PDMM). In contrast to its initial derivation, in this work monotone operator theory…

最优化与控制 · 数学 2017-11-07 Thomas Sherson , Richard Heusdens , W. Bastiaan Kleijn

We develop two distributed downlink resource allocation algorithms for user-centric, cell-free, spatially-distributed, multiple-input multiple-output (MIMO) networks. In such networks, each user is served by a subset of nearby transmitters…

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

系统与控制 · 电气工程与系统科学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is…

最优化与控制 · 数学 2020-02-13 Shu Liang , Xianlin Zeng , Guanpu Chen , Yiguang Hong

Motivated by a variety of applications in control engineering and information sciences, we study network resource allocation problems where the goal is to optimally allocate a fixed amount of resource over a network of nodes. In these…

最优化与控制 · 数学 2017-08-25 Thinh T. Doan , Carolyn L. Beck

In this paper, we consider a class of structured nonconvex nonsmooth optimization problems whose objective function is the sum of three nonconvex functions, one of which is expressed in a difference-of-convex (DC) form. This problem class…

最优化与控制 · 数学 2025-06-10 Minh N. Dao , Tan Nhat Pham , Phan Thanh Tung

We introduce a framework for quasi-Newton forward--backward splitting algorithms (proximal quasi-Newton methods) with a metric induced by diagonal $\pm$ rank-$r$ symmetric positive definite matrices. This special type of metric allows for a…

最优化与控制 · 数学 2018-11-27 Stephen Becker , Jalal Fadili , Peter Ochs

Federated optimization studies the problem of collaborative function optimization among multiple clients (e.g. mobile devices or organizations) under the coordination of a central server. Since the data is collected separately by each…

机器学习 · 计算机科学 2023-11-06 Chuanhao Li , Chong Liu , Yu-Xiang Wang

We consider the application of the Douglas-Rachford (DR) algorithm to solve linear-quadratic (LQ) control problems with box constraints on the state and control variables. We split the constraints of the optimal control problem into two…

最优化与控制 · 数学 2024-01-17 Regina S. Burachik , Bethany I. Caldwell , C. Yalçın Kaya

This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic framework for the minimization of the sum of a smooth nonconvex…

最优化与控制 · 数学 2018-09-05 Gesualdo Scutari , Ying Sun

Though quasi-Newton methods have been extensively studied in the literature, they either suffer from local convergence or use a series of line searches for global convergence which is not acceptable in the distributed setting. In this work,…

最优化与控制 · 数学 2023-12-01 Yubo Du , Keyou You

In this work, we consider solving a distributed optimization problem in a multi-agent network with multiple clusters. In each cluster, the involved agents cooperatively optimize a separable composite function with a common decision…

最优化与控制 · 数学 2022-03-03 Jianzheng Wang , Guoqiang Hu

We propose a distributed, cubic-regularized Newton method for large-scale convex optimization over networks. The proposed method requires only local computations and communications and is suitable for federated learning applications over…

最优化与控制 · 数学 2020-07-08 César A. Uribe , Ali Jadbabaie

We propose a distributed solution for a constrained convex optimization problem over a network of clustered agents each consisted of a set of subagents. The communication range of the clustered agents is such that they can form a connected…

多智能体系统 · 计算机科学 2021-04-06 Hossein Moradian , Solmaz S. Kia

Federated learning is a promising framework to mitigate data privacy and computation concerns. However, the communication cost between the server and clients has become the major bottleneck for successful deployment. Despite notable…

机器学习 · 计算机科学 2022-05-03 Yang He , Hui-Po Wang , Maximilian Zenk , Mario Fritz

This work proposes a distributed algorithm for solving empirical risk minimization problems, called L-DQN, under the master/worker communication model. L-DQN is a distributed limited-memory quasi-Newton method that supports asynchronous…

最优化与控制 · 数学 2021-09-07 Bugra Can , Saeed Soori , Maryam Mehri Dehnavi , Mert Gürbüzbalaban