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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

In this paper, we introduce faster accelerated primal-dual algorithms for minimizing a convex function subject to strongly convex function constraints. Prior to our work, the best complexity bound was $\mathcal{O}(1/{\varepsilon})$,…

Optimization and Control · Mathematics 2024-11-28 Zhenwei Lin , Qi Deng

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

We present a distributed proximal-gradient method for optimizing the average of convex functions, each of which is the private local objective of an agent in a network with time-varying topology. The local objectives have distinct…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-09 Annie I. Chen , Asuman Ozdaglar

Motivated by distributed statistical learning over uncertain communication networks, we study distributed stochastic optimization by networked nodes to cooperatively minimize a sum of convex cost functions. The network is modeled by a…

Systems and Control · Electrical Eng. & Systems 2025-01-03 Yan Chen , Alexander L. Fradkov , Keli Fu , Xiaozheng Fu , Tao Li

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

We consider the problem of minimizing the sum of a Lipschitz differentiable convex function $f$ and a proper closed convex function $h$ that admits efficient linear minimization oracles, subject to multiple smooth convex inequality…

Optimization and Control · Mathematics 2026-05-22 Xiaozhou Wang , Ting Kei Pong , Zev Woodstock

In this paper, we develop a distributed algorithm for solving a class of distributed convex optimization problems where the local objective functions can be a general nonsmooth function, and all equalities and inequalities are network-wide…

Optimization and Control · Mathematics 2026-04-14 Yeong-Ung Kim , Hyo-Sung Ahn

This paper proposes and analyzes an accelerated inexact dampened augmented Lagrangian (AIDAL) method for solving linearly-constrained nonconvex composite optimization problems. Each iteration of the AIDAL method consists of: (i) inexactly…

Optimization and Control · Mathematics 2023-02-08 Weiwei Kong , Renato D. C. Monteiro

We consider the problem of decentralized composite optimization over a symmetric connected graph, in which each node holds its own agent-specific private convex functions, and communications are only allowed between nodes with direct links.…

Optimization and Control · Mathematics 2018-09-06 Bin Wang , Jun Fang , Huiping Duan , Hongbin Li

In this paper, we consider solving a composite optimization problem with coupling constraints in a multi-agent network based on proximal gradient method. In this problem, all the agents jointly minimize the sum of individual cost functions…

Optimization and Control · Mathematics 2021-08-30 Jianzheng Wang , Guoqiang Hu

We propose a distributed algorithm based on Alternating Direction Method of Multipliers (ADMM) to minimize the sum of locally known convex functions using communication over a network. This optimization problem emerges in many applications…

Optimization and Control · Mathematics 2016-01-05 Ali Makhdoumi , Asuman Ozdaglar

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…

Optimization and Control · Mathematics 2020-03-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

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

This paper proposes D-ripALM, a Decentralized relative-type inexact proximal Augmented Lagrangian Method for consensus convex optimization over multi-agent networks. D-ripALM adopts a double-loop distributed optimization framework that…

Optimization and Control · Mathematics 2026-02-09 Jiayi Zhu , Hong Wang , Ling Liang , Lei Yang

In this paper we consider distributed optimization problems in which the cost function is separable (i.e., a sum of possibly non-smooth functions all sharing a common variable) and can be split into a strongly convex term and a convex one.…

Optimization and Control · Mathematics 2016-09-20 Ivano Notarnicola , Giuseppe Notarstefano

This paper proposes a novel distributed semismooth Newton based augmented Lagrangian method for solving a class of optimization problems over networks, where the global objective is defined as the sum of locally held cost functions, and…

Optimization and Control · Mathematics 2026-03-02 Qihao Ma , Chengjing Wang , Peipei Tang , Dunbiao Niu , Aimin Xu

We consider minimization of the sum of a large number of convex functions, and we propose an incremental aggregated version of the proximal algorithm, which bears similarity to the incremental aggregated gradient and subgradient methods…

Systems and Control · Computer Science 2015-11-05 Dimitri P. Bertsekas

In this paper, we study distributed stochastic optimization to minimize a sum of smooth and strongly-convex local cost functions over a network of agents, communicating over a strongly-connected graph. Assuming that each agent has access to…

Machine Learning · Computer Science 2019-04-11 Ran Xin , Anit Kumar Sahu , Usman A. Khan , Soummya Kar

We present a new feasible proximal gradient method for constrained optimization where both the objective and constraint functions are given by the summation of a smooth, possibly nonconvex function and a convex simple function. The…

Optimization and Control · Mathematics 2024-02-01 Digvijay Boob , Qi Deng , Guanghui Lan