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This paper focuses on decentralized composite optimization over networks without a central coordinator. We propose a novel decentralized symmetric ADMM algorithm that incorporates multiple communication rounds within each iteration, derived…

Optimization and Control · Mathematics 2026-03-06 Jinrui Huang , Xueqin Wang , Dong Liu , Jingguo Lan , Runxiong Wu

In this paper, we study the problem of consensus-based distributed optimization where a network of agents, abstracted as a directed graph, aims to minimize the sum of all agents' cost functions collaboratively. In existing distributed…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Xiaomeng Chen , Lingying Huang , Lidong He , Subhrakanti Dey , Ling Shi

Methods for distributed optimization have received significant attention in recent years owing to their wide applicability in various domains. A distributed optimization method typically consists of two key components: communication and…

Optimization and Control · Mathematics 2018-06-04 Albert S. Berahas , Raghu Bollapragada , Nitish Shirish Keskar , Ermin Wei

Distributed optimization enables networked agents to cooperatively solve a global optimization problem even with each participating agent only having access to a local partial view of the objective function. Despite making significant…

Optimization and Control · Mathematics 2022-10-04 Yongqiang Wang , Tamer Başar

Designing decentralized policies for wireless communication networks is a crucial problem, which has only been partially solved in the literature so far. In this paper, we propose the Decentralized Markov Decision Process (Dec-MDP)…

Information Theory · Computer Science 2017-01-10 Alessandro Biason , Subhrakanti Dey , Michele Zorzi

In modern large-scale systems with sensor networks and IoT devices it is essential to collaboratively solve complex problems while utilizing network resources efficiently. In our paper we present three distributed optimization algorithms…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Decentralized stochastic optimization is the basic building block of modern collaborative machine learning, distributed estimation and control, and large-scale sensing. Since involved data usually contain sensitive information like user…

Machine Learning · Computer Science 2022-05-10 Yongqiang Wang , H. Vincent Poor

This paper proposes a new distributed nonconvex stochastic optimization algorithm that can achieve privacy protection, communication efficiency and convergence simultaneously. Specifically, each node adds general privacy noises to its local…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Jialong Chen , Jimin Wang , Ji-Feng Zhang

Mini-batch optimal transport (m-OT) has been successfully used in practical applications that involve probability measures with a very high number of supports. The m-OT solves several smaller optimal transport problems and then returns the…

Machine Learning · Statistics 2022-06-08 Khai Nguyen , Dang Nguyen , Quoc Nguyen , Tung Pham , Hung Bui , Dinh Phung , Trung Le , Nhat Ho

This paper considers privacy-concerned distributed constraint-coupled resource allocation problems over an undirected network, where each agent holds a private cost function and obtains the solution via only local communication. With…

Optimization and Control · Mathematics 2025-06-05 Wenwen Wu , Shanying Zhu , Shuai Liu , Xinping Guan

Optimal transport distances have become a classic tool to compare probability distributions and have found many applications in machine learning. Yet, despite recent algorithmic developments, their complexity prevents their direct use on…

Machine Learning · Statistics 2021-01-07 Kilian Fatras , Younes Zine , Szymon Majewski , Rémi Flamary , Rémi Gribonval , Nicolas Courty

There is growing interest in large-scale machine learning and optimization over decentralized networks, e.g. in the context of multi-agent learning and federated learning. Due to the imminent need to alleviate the communication burden, the…

Machine Learning · Statistics 2020-09-02 Boyue Li , Shicong Cen , Yuxin Chen , Yuejie Chi

We study the decentralized distributed computation of discrete approximations for the regularized Wasserstein barycenter of a finite set of continuous probability measures distributedly stored over a network. We assume there is a network of…

Optimization and Control · Mathematics 2020-02-21 Pavel Dvurechensky , Darina Dvinskikh , Alexander Gasnikov , César A. Uribe , Angelia Nedić

Optimal transport (OT) is attracting increasing attention in machine learning. It aims to transport a source distribution to a target one at minimal cost. In its vanilla form, the source and target distributions are predetermined, which…

Machine Learning · Computer Science 2024-01-23 Liangliang Shi , Zhaoqi Shen , Junchi Yan

In this paper, we develop a class of decentralized algorithms for solving a convex resource allocation problem in a network of $n$ agents, where the agent objectives are decoupled while the resource constraints are coupled. The agents…

Optimization and Control · Mathematics 2018-12-18 Angelia Nedić , Alex Olshevsky , Wei Shi

Distributed optimization has a rich history. It has demonstrated its effectiveness in many machine learning applications, etc. In this paper we study a subclass of distributed optimization, namely decentralized optimization in a non-smooth…

Optimization and Control · Mathematics 2023-12-05 Aleksandr Lobanov , Andrew Veprikov , Georgiy Konin , Aleksandr Beznosikov , Alexander Gasnikov , Dmitry Kovalev

The problem of near-optimal distributed path planning to locally sensed targets is investigated in the context of large swarms. The proposed algorithm uses only information that can be locally queried, and rigorous theoretical results on…

Robotics · Computer Science 2015-03-19 Ishanu Chattopadhyay

The problem of learning functions over spaces of probabilities - or distribution regression - is gaining significant interest in the machine learning community. A key challenge behind this problem is to identify a suitable representation…

Machine Learning · Statistics 2022-06-20 Dimitri Meunier , Massimiliano Pontil , Carlo Ciliberto

We study strongly convex distributed optimization problems where a set of agents are interested in solving a separable optimization problem collaboratively. In this paper, we propose and study a two time-scale decentralized gradient descent…

Optimization and Control · Mathematics 2022-08-16 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

We introduce a neighborhood-based data access model for distributed coded storage allocation. Storage nodes are connected in a generic network and data is accessed locally: a user accesses a randomly chosen storage node, which subsequently…

Information Theory · Computer Science 2014-11-12 Dusan Jakovetic , Aleksandar Minja , Dragana Bajovic , Dejan Vukobratovic
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