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We investigate the distributed multi-agent sharing optimization problem in a directed graph, with a composite objective function consisting of a smooth function plus a convex (possibly non-smooth) function shared by all agents. While…

最优化与控制 · 数学 2024-06-21 Sajad Zandi , Mehdi Korki

In this paper, we revisit primal-dual dynamics for convex optimization and present a generalization of the dynamics based on the concept of passivity. It is then proved that supplying a stable zero to one of the integrators in the dynamics…

系统与控制 · 计算机科学 2018-11-26 Shunya Yamashita , Takeshi Hatanaka , Junya Yamauchi , Masayuki Fujita

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…

最优化与控制 · 数学 2019-08-27 Necdet Serhat Aybat , Erfan Yazdandoost Hamedani

Based on the idea of randomized coordinate descent of $\alpha$-averaged operators, a randomized primal-dual optimization algorithm is introduced, where a random subset of coordinates is updated at each iteration. The algorithm builds upon a…

最优化与控制 · 数学 2015-10-01 Pascal Bianchi , Walid Hachem , Franck Iutzeler

Distributed supply-chain optimization demands algorithms that can cope with unreliable communication, unbounded messaging delays, and geographically dispersed agents while still guaranteeing convergence with provable rates. In this work, we…

最优化与控制 · 数学 2025-06-11 Laksh Patel , Neel Shanbhag

Saddle-point or primal-dual methods have recently attracted renewed interest as a systematic technique to design distributed algorithms which solve convex optimization problems. When implemented online for streaming data or as dynamic…

最优化与控制 · 数学 2021-04-22 John W. Simpson-Porco , Bala Kameshwar Poolla , Nima Monshizadeh , Florian Dorfler

Primal-dual methods for solving convex optimization problems with functional constraints often exhibit a distinct two-stage behavior. Initially, they converge towards a solution at a sublinear rate. Then, after a certain point, the method…

最优化与控制 · 数学 2026-02-12 Mateo Díaz , Pedro Izquierdo Lehmann , Haihao Lu , Jinwen Yang

This work proposes and studies the distributed resource allocation problem in asynchronous and stochastic settings. We consider a distributed system with multiple workers and a coordinating server with heterogeneous computation and…

最优化与控制 · 数学 2025-09-03 Qiang Li , Michal Yemini , Hoi-To Wai

We consider convex-concave saddle point problems with a separable structure and non-strongly convex functions. We propose an efficient stochastic block coordinate descent method using adaptive primal-dual updates, which enables flexible…

机器学习 · 统计学 2015-11-24 Zhanxing Zhu , Amos J. Storkey

We propose decentralized primal-dual methods for 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…

最优化与控制 · 数学 2022-02-23 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

This paper focuses on a distributed coupled constrained convex optimization problem over directed unbalanced and time-varying multi-agent networks, where the global objective function is the sum of all agents' private local objective…

最优化与控制 · 数学 2023-10-25 Kai Gong , Liwei Zhang

In this paper we consider a distributed optimization scenario in which a set of agents has to solve a convex optimization problem with separable cost function, local constraint sets and a coupling inequality constraint. We propose a novel…

系统与控制 · 计算机科学 2018-04-25 Ivano Notarnicola , Giuseppe Notarstefano

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…

最优化与控制 · 数学 2020-03-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

In this paper we propose an efficient distributed algorithm for solving loosely coupled convex optimization problems. The algorithm is based on a primal-dual interior-point method in which we use the alternating direction method of…

最优化与控制 · 数学 2015-02-10 Mariette Annergren , Sina Khoshfetrat Pakazad , Anders Hansson , Bo Wahlberg

The primal-dual distributed optimization methods have broad large-scale machine learning applications. Previous primal-dual distributed methods are not applicable when the dual formulation is not available, e.g. the sum-of-non-convex…

机器学习 · 计算机科学 2017-10-30 Zhouyuan Huo , Heng Huang

We consider a generic convex-concave saddle point problem with separable structure, a form that covers a wide-ranged machine learning applications. Under this problem structure, we follow the framework of primal-dual updates for saddle…

机器学习 · 统计学 2015-06-15 Zhanxing Zhu , Amos J. Storkey

This paper considers continuous-time coordination algorithms for networks of agents that seek to collectively solve a general class of nonsmooth convex optimization problems with an inherent distributed structure. Our algorithm design…

最优化与控制 · 数学 2017-05-17 Simon K. Niederländer , Jorge Cortés

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…

最优化与控制 · 数学 2025-02-11 Mohamed Abdelmouamin Messilem , Guido Carnevale , Ruggero Carli

A new stochastic primal--dual algorithm for solving a composite optimization problem is proposed. It is assumed that all the functions/operators that enter the optimization problem are given as statistical expectations. These expectations…

最优化与控制 · 数学 2020-06-23 Pascal Bianchi , Walid Hachem , Adil Salim

In this paper we consider a general, challenging distributed optimization set-up arising in several important network control applications. Agents of a network want to minimize the sum of local cost functions, each one depending on a local…

系统与控制 · 计算机科学 2018-06-15 Ivano Notarnicola , Giuseppe Notarstefano