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In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

In this paper, we formulate and solve a randomized optimal consensus problem for multi-agent systems with stochastically time-varying interconnection topology. The considered multi-agent system with a simple randomized iterating rule…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson

Alternating Direction Method of Multipliers (ADMM) is a popular convex optimization algorithm, which can be employed for solving distributed consensus optimization problems. In this setting agents locally estimate the optimal solution of an…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Layla Majzoobi , Farshad Lahouti , Vahid Shah-Mansouri

The non-smooth finite-sum minimization is a fundamental problem in machine learning. This paper develops a distributed stochastic proximal-gradient algorithm with random reshuffling to solve the finite-sum minimization over time-varying…

Optimization and Control · Mathematics 2022-10-11 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen , Lihua Xie

In this paper, we consider distributed optimization problems where the goal is to minimize a sum of objective functions over a multi-agent network. We focus on the case when the inter-agent communication is described by a…

Optimization and Control · Mathematics 2018-06-08 Chenguang Xi , Ran Xin , Usman A. Khan

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

In this paper, a gradient-free distributed algorithm is introduced to solve a set constrained optimization problem under a directed communication network. Specifically, at each time-step, the agents locally compute a so-called…

Optimization and Control · Mathematics 2021-09-06 Yipeng Pang , Guoqiang Hu

This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

Optimization and Control · Mathematics 2020-07-15 Jineng Ren , Jarvis Haupt

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

Optimization and Control · Mathematics 2021-08-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

This paper studies the problem of finding the median of N distinct numbers distributed across networked agents. Each agent updates its estimate for the median from noisy local observations of one of the N numbers and information from…

Optimization and Control · Mathematics 2021-10-12 Shuhua Yu , Yuan Chen , Soummya Kar

We consider the problem of distributed learning, where a network of agents collectively aim to agree on a hypothesis that best explains a set of distributed observations of conditionally independent random processes. We propose a…

Optimization and Control · Mathematics 2017-04-12 Angelia Nedić , Alex Olshevsky , César A. Uribe

The paper studies the distributed stochastic compositional optimization problems over networks, where all the agents' inner-level function is the sum of each agent's private expectation function. Focusing on the aggregative structure of the…

Optimization and Control · Mathematics 2022-11-10 Shengchao Zhao , Yongchao Liu

In this paper, the problem of distributed optimization is studied via a network of agents. Each agent only has access to a stochastic gradient of its own objective function in the previous time, and can communicate with its neighbors via a…

Optimization and Control · Mathematics 2024-01-29 Yuchen Yang , Kaihong Lu , Long Wang

We present distributed subgradient methods for min-max problems with agreement constraints on a subset of the arguments of both the convex and concave parts. Applications include constrained minimization problems where each constraint is a…

Optimization and Control · Mathematics 2016-05-25 David Mateos-Núñez , Jorge Cortés

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

Optimization and Control · Mathematics 2020-12-01 Navid Rezazadeh , Solmaz S. Kia

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…

Optimization and Control · Mathematics 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…

Optimization and Control · Mathematics 2018-07-10 Giorgos Stathopoulos , Colin N. Jones

We propose a decentralized penalty method for general convex constrained multi-agent optimization problems. Each auxiliary penalized problem is solved approximately with a special parallel descent splitting method. The method can be…

Optimization and Control · Mathematics 2020-08-11 Igor Konnov

We consider a multi-agent framework for distributed optimization where each agent has access to a local smooth strongly convex function, and the collective goal is to achieve consensus on the parameters that minimize the sum of the agents'…

Multiagent Systems · Computer Science 2020-04-23 Mahmoud Assran , Michael Rabbat

The distributed non-smooth resource allocation problem over multi-agent networks is studied in this paper, where each agent is subject to globally coupled network resource constraints and local feasibility constraints described in terms of…

Optimization and Control · Mathematics 2022-03-11 Xiaohong Nian , Fan Li , Dongxin Liu
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