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We study a continuous-time primal-dual algorithm for distributed optimization with nonconvex local cost functions over weight-unbalanced digraphs, and analyze its performance from a dissipativity-based perspective. We first reformulate the…

最优化与控制 · 数学 2026-02-10 Weijian Li , Panos J. Antsaklis , Hai Lin

This paper introduces consensus-based primal-dual methods for distributed online optimization where the time-varying system objective function $f_t(\mathbf{x})$ is given as the sum of local agents' objective functions, i.e.,…

最优化与控制 · 数学 2017-06-01 Soomin Lee , Michael M. Zavlanos

In this paper, we propose a fully distributed algorithm for second-order continuous-time multi-agent systems to solve the distributed optimization problem. The global objective function is a sum of private cost functions associated with the…

最优化与控制 · 数学 2019-04-15 Xinlei Yi , Lisha Yao , Tao Yang , Jemin George , Karl H. Johansson

In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

最优化与控制 · 数学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

This paper studies the distributed optimization problem when the objective functions might be nondifferentiable and subject to heterogeneous set constraints. Unlike existing subgradient methods, we focus on the case when the exact…

最优化与控制 · 数学 2021-11-23 Kui Zhu , Yutao Tang

This paper studies distributed algorithms for the extended monotropic optimization problem, which is a general convex optimization problem with a certain separable structure. The considered objective function is the sum of local convex…

最优化与控制 · 数学 2016-08-04 Xianlin Zeng , Peng Yi , Yiguang Hong , Lihua Xie

Conventional online multi-task learning algorithms suffer from two critical limitations: 1) Heavy communication caused by delivering high velocity of sequential data to a central machine; 2) Expensive runtime complexity for building task…

机器学习 · 统计学 2020-04-06 Peng Yang , Ping Li

We present a parallelized primal-dual algorithm for solving constrained convex optimization problems. The algorithm is "block-based," in that vectors of primal and dual variables are partitioned into blocks, each of which is updated only by…

最优化与控制 · 数学 2022-05-04 Katherine Hendrickson , Matthew Hale

We present a parallelized primal-dual algorithm for solving constrained convex optimization problems. The algorithm is "block-based," in that vectors of primal and dual variables are partitioned into blocks, each of which is updated only by…

最优化与控制 · 数学 2020-09-01 Katherine Hendrickson , Matthew Hale

This paper aims at distributed multi-agent convex optimization where the communications network among the agents are presented by a random sequence of possibly state-dependent weighted graphs. This is the first work to consider both random…

系统与控制 · 电气工程与系统科学 2024-12-31 Seyyed Shaho Alaviani , Atul Kelkar

This work presents a universal accelerated first-order primal-dual method for affinely constrained convex optimization problems. It can handle both Lipschitz and H\"{o}lder gradients but does not need to know the smoothness level of the…

最优化与控制 · 数学 2022-11-09 Hao Luo

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…

系统与控制 · 计算机科学 2022-05-30 Kunal Garg , Mayank Baranwal

In distributed machine learning, efficient training across multiple agents with different data distributions poses significant challenges. Even with a centralized coordinator, current algorithms that achieve optimal communication complexity…

机器学习 · 计算机科学 2024-08-13 Junchi Yang , Murat Yildirim , Qiu Feng

This paper considers distributed optimization (DO) where multiple agents cooperate to minimize a global objective function, expressed as a sum of local objectives, subject to some constraints. In DO, each agent iteratively solves a local…

最优化与控制 · 数学 2023-03-01 Minseok Ryu , Kibaek Kim

Distributed optimization algorithms are used in a wide variety of problems involving complex network systems where the goal is for a set of agents in the network to solve a network-wide optimization problem via distributed update rules. In…

最优化与控制 · 数学 2025-09-23 Liam Hallinan , Ioannis Lestas

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 study distributed composite optimization over networks: agents minimize the sum of a smooth (strongly) convex function, the agents' sum-utility, plus a non-smooth (extended-valued) convex one. We propose a general algorithmic framework…

最优化与控制 · 数学 2019-10-23 Jinming Xu , Ying Sun , Ye Tian , Gesualdo Scutari

We introduce a reduced-communication distributed optimization scheme based on estimating the solution to a proximal minimization problem. Our proposed setup involves a group of agents coordinated by a central entity, altogether operating in…

最优化与控制 · 数学 2018-07-10 Giorgos Stathopoulos , Colin N. Jones

An universal primal-dual approach of description equilibriums in large class of hierarchical congestion population games is proposed. At the very core of the approach is hierarchy of enclosed to each other transport networks. In different…

最优化与控制 · 数学 2016-03-09 Alexander Gasnikov , Evgenia Gasnikova , Sergey Matsievsky , Inna Usik

Solving optimization problems in multi-agent systems (MAS) involves information exchange between agents. These solutions must be robust to delays and errors that arise from an unreliable wireless network which typically connects the MAS. In…

动力系统 · 数学 2019-12-19 Arunselvan Ramaswamy , Adrian Redder , Daniel E. Quevedo