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This paper proposes a fast decentralized algorithm for solving a consensus optimization problem defined in a directed networked multi-agent system, where the local objective functions have the smooth+nonsmooth composite form, and are…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-28 Jinshan Zeng , Tao He , Mingwen Wang

We propose an innovative algorithm for non-convex composite federated learning that decouples the proximal operator evaluation and the communication between server and clients. Moreover, each client uses local updates to communicate less…

Machine Learning · Computer Science 2025-02-07 Jiaojiao Zhang , Jiang Hu , Mikael Johansson

We propose a distributed accelerated primal-dual method with backtracking (D-APDB) for cooperative multi-agent constrained consensus optimization problems over an undirected network of agents, where only those agents connected by an edge…

Optimization and Control · Mathematics 2026-03-06 Qiushui Xu , Necdet Serhat Aybat , Mert Gürbüzbalaban

We consider the problem of decentralized optimization in networks with communication delays. To accommodate delays, we need decentralized optimization algorithms that work on directed graphs. Existing approaches require nodes to know their…

Optimization and Control · Mathematics 2024-12-31 Tomas Ortega , Hamid Jafarkhani

We study dual-based algorithms for distributed convex optimization problems over networks, where the objective is to minimize a sum $\sum_{i=1}^{m}f_i(z)$ of functions over in a network. We provide complexity bounds for four different…

Optimization and Control · Mathematics 2020-03-17 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

In this paper, a decentralized proximal method of multipliers (DPMM) is proposed to solve constrained convex optimization problems over multi-agent networks, where the local objective of each agent is a general closed convex function, and…

Optimization and Control · Mathematics 2023-10-25 Kai Gong , Liwei Zhang

To design algorithms that reduce communication cost or meet rate constraints and are robust to communication noise, we study convex distributed optimization problems where a set of agents are interested in solving a separable optimization…

Optimization and Control · Mathematics 2023-05-02 Hadi Reisizadeh , Anand Gokhale , Behrouz Touri , Soheil Mohajer

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…

Optimization and Control · Mathematics 2015-10-01 Pascal Bianchi , Walid Hachem , Franck Iutzeler

In this paper, we study the decentralized optimization problem of minimizing a finite sum of continuously differentiable and possibly nonconvex functions over a fixed-connected undirected network. We propose a unified decentralized…

Optimization and Control · Mathematics 2026-04-14 Hao Wu , Liping Wang

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

This paper studies a class of distributed optimization algorithms by a set of agents, where each agent has only access to its own local convex objective function, and jointly minimizes the sum of the functions. The communications among…

Optimization and Control · Mathematics 2016-11-11 Qingguo Lü , Huaqing Li

Minimax problems have recently attracted a lot of research interests. A few efforts have been made to solve decentralized nonconvex strongly-concave (NCSC) minimax-structured optimization; however, all of them focus on smooth problems with…

Optimization and Control · Mathematics 2023-04-06 Yangyang Xu

Decentralized optimization algorithms have received much attention due to the recent advances in network information processing. However, conventional decentralized algorithms based on projected gradient descent are incapable of handling…

Optimization and Control · Mathematics 2018-08-29 Hoi-To Wai , Jean Lafond , Anna Scaglione , Eric Moulines

Distributed optimization often requires finding the minimum of a global objective function written as a sum of local functions. A group of agents work collectively to minimize the global function. We study a continuous-time decentralized…

Optimization and Control · Mathematics 2020-11-25 Youbang Sun , Shahin Shahrampour

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…

Optimization and Control · Mathematics 2023-10-25 Kai Gong , Liwei Zhang

In this paper, we consider the convex, finite-sum minimization problem with explicit convex constraints over strongly connected directed graphs. The constraint is an intersection of several convex sets each being known to only one node. To…

Optimization and Control · Mathematics 2021-06-23 Firooz Shahriari-Mehr , David Bosch , Ashkan Panahi

In federated learning, communication cost is often a critical bottleneck to scale up distributed optimization algorithms to collaboratively learn a model from millions of devices with potentially unreliable or limited communication and…

Machine Learning · Computer Science 2020-11-24 Farzin Haddadpour , Mohammad Mahdi Kamani , Aryan Mokhtari , Mehrdad Mahdavi

In this paper, distributed convex optimization problem over non-directed dynamical networks is studied. Here, networked agents with single-integrator dynamics are supposed to rendezvous at a point that is the solution of a global convex…

Optimization and Control · Mathematics 2017-07-18 Amir Adibzadeh , Mohsen Zamani , Amir A. Suratgar , Mohammad B. Menhaj

Designing policies for a network of agents is typically done by formulating an optimization problem where each agent has access to state measurements of all the other agents in the network. Such policy designs with centralized information…

Optimization and Control · Mathematics 2024-05-02 Georgios Darivianakis , Angelos Georghiou , Soroosh Shafiee , John Lygeros

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…

Machine Learning · Computer Science 2024-08-13 Junchi Yang , Murat Yildirim , Qiu Feng
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