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By time discretization of a second-order primal-dual dynamical system with damping $\alpha/t$ where an inertial construction in the sense of Nesterov is needed only for the primal variable, we propose a fast primal-dual algorithm for a…

Optimization and Control · Mathematics 2022-06-06 Xin He , Rong Hu , Ya-Ping Fang

Aiming at solving large-scale learning problems, this paper studies distributed optimization methods based on the alternating direction method of multipliers (ADMM). By formulating the learning problem as a consensus problem, the ADMM can…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-04 Tsung-Hui Chang , Mingyi Hong , Wei-Cheng Liao , Xiangfeng Wang

Large scale, non-convex optimization problems arising in many complex networks such as the power system call for efficient and scalable distributed optimization algorithms. Existing distributed methods are usually iterative and require…

Optimization and Control · Mathematics 2017-10-26 Junyao Guo , Gabriela Hug , Ozan Tonguz

We develop a novel primal-dual algorithm to solve a class of nonsmooth and nonlinear compositional convex minimization problems, which covers many existing and brand-new models as special cases. Our approach relies on a combination of a new…

Optimization and Control · Mathematics 2021-04-20 Yuzixuan Zhu , Deyi Liu , Quoc Tran-Dinh

This article explores distributed convex optimization with globally-coupled constraints, where the objective function is a general nonsmooth convex function, the constraints include nonlinear inequalities and affine equalities, and the…

Optimization and Control · Mathematics 2025-03-14 Zixuan Liu , Xuyang Wu , Dandan Wang , Jie Lu

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

In this paper, we consider a network of agents that jointly aim to minimise the sum of local functions subject to coupling constraints involving all local variables. To solve this problem, we propose a novel solution based on a primal-dual…

Optimization and Control · Mathematics 2025-02-11 Mohamed Abdelmouamin Messilem , Guido Carnevale , Ruggero Carli

We address the problem of distributed uncon- strained convex optimization under separability assumptions, i.e., the framework where each agent of a network is endowed with a local private multidimensional convex cost, is subject to…

Optimization and Control · Mathematics 2015-11-06 Damiano Varagnolo , Filippo Zanella , Angelo Cenedese , Gianluigi Pillonetto , Luca Schenato

We develop two new proximal alternating penalty algorithms to solve a wide range class of constrained convex optimization problems. Our approach mainly relies on a novel combination of the classical quadratic penalty, alternating…

Optimization and Control · Mathematics 2018-09-20 Quoc Tran-Dinh

In this paper, we propose two novel non-stationary first-order primal-dual algorithms to solve nonsmooth composite convex optimization problems. Unlike existing primal-dual schemes where the parameters are often fixed, our methods use…

Optimization and Control · Mathematics 2020-07-13 Quoc Tran-Dinh , Yuzixuan Zhu

This paper considers a distributed convex optimization problem over a time-varying multi-agent network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

Optimization and Control · Mathematics 2018-05-22 Chuanye Gu , Zhiyou Wu , Jueyou Li , Yaning Guo

In decentralized consensus optimization, a connected network of agents collaboratively minimize the sum of their local objective functions over a common decision variable, where their information exchange is restricted between the…

Optimization and Control · Mathematics 2015-06-16 Wei Shi , Qing Ling , Kun Yuan , Gang Wu , Wotao Yin

We study distributed (strongly convex) optimization problems over a network of agents, with no centralized nodes. The loss functions of the agents are assumed to be \textit{similar}, due to statistical data similarity or otherwise. In order…

Optimization and Control · Mathematics 2022-04-12 Ye Tian , Gesualdo Scutari , Tianyu Cao , Alexander Gasnikov

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…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

We consider a multi-agent optimization problem where agents subject to local, intermittent interactions aim to minimize a sum of local objective functions subject to a global inequality constraint and a global state constraint set. In…

Optimization and Control · Mathematics 2012-10-10 Minghui Zhu , Sonia Martinez

We propose a distributed method to solve a multi-agent optimization problem with strongly convex cost function and equality coupling constraints. The method is based on Nesterov's accelerated gradient approach and works over stochastically…

Optimization and Control · Mathematics 2020-12-17 Wicak Ananduta , Carlos Ocampo-Martinez , Angelia Nedić

This paper studies the network optimization problem about which a group of agents cooperates to minimize a global function under practical constraints of finite bandwidth communication. Particularly, we propose an adaptive encoding-decoding…

Optimization and Control · Mathematics 2021-11-17 Ziqin Chen , Shu Liang , Li Li , Shuming Cheng

We consider cooperative multi-agent resource sharing problems over time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific composite convex functions subject…

Optimization and Control · Mathematics 2019-08-27 Necdet Serhat Aybat , Erfan Yazdandoost Hamedani

We consider algorithms for solving structured convex optimization problems over a network of agents with communication delays. It is assumed that each agent performs its local updates by using possibly outdated information from its…

Optimization and Control · Mathematics 2020-09-14 Puya Latafat , Panagiotis Patrinos

Distributed and decentralized optimization are key for the control of networked systems. Application examples include distributed model predictive control and distributed sensing or estimation. Non-linear systems, however, lead to problems…

Optimization and Control · Mathematics 2023-07-06 Alexander Engelmann , Gösta Stomberg , Timm Faulwasser