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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…

分布式、并行与集群计算 · 计算机科学 2017-03-28 Jinshan Zeng , Tao He , Mingwen Wang

To understand the convergence behavior of the Push-Pull method for decentralized optimization with stochastic gradients (Stochastic Push-Pull), this paper presents a comprehensive analysis. Specifically, we first clarify the algorithm's…

最优化与控制 · 数学 2025-06-10 Runze You , Shi Pu

Extrapolation is a well-known technique for solving convex optimization and variational inequalities and recently attracts some attention for non-convex optimization. Several recent works have empirically shown its success in some machine…

最优化与控制 · 数学 2019-02-06 Yi Xu , Zhuoning Yuan , Sen Yang , Rong Jin , Tianbao Yang

In this paper we introduce a class of novel distributed algorithms for solving stochastic big-data convex optimization problems over directed graphs. In the addressed set-up, the dimension of the decision variable can be extremely high and…

最优化与控制 · 数学 2020-10-06 Francesco Farina , Giuseppe Notarstefano

This paper proposes a novel proximal-gradient algorithm for a decentralized optimization problem with a composite objective containing smooth and non-smooth terms. Specifically, the smooth and nonsmooth terms are dealt with by gradient and…

最优化与控制 · 数学 2021-02-02 Zhi Li , Wei Shi , Ming Yan

We consider distributed optimization by a collection of nodes, each having access to its own convex function, whose collective goal is to minimize the sum of the functions. The communications between nodes are described by a time-varying…

最优化与控制 · 数学 2014-03-18 Angelia Nedic , Alex Olshevsky

This paper studies a distributed online convex optimization problem, where agents in an unbalanced network cooperatively minimize the sum of their time-varying local cost functions subject to a coupled inequality constraint. To solve this…

最优化与控制 · 数学 2023-09-06 Dandan Wang , Daokuan Zhu , Kin Cheong Sou , Jie Lu

We propose a novel algorithm for solving convex, constrained and distributed optimization problems defined on multi-agent-networks, where each agent has exclusive access to a part of the global objective function. The agents are able to…

系统与控制 · 电气工程与系统科学 2020-08-12 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

The goal of decentralized optimization over a network is to optimize a global objective formed by a sum of local (possibly nonsmooth) convex functions using only local computation and communication. It arises in various application domains,…

最优化与控制 · 数学 2015-03-17 John Duchi , Alekh Agarwal , Martin Wainwright

Optimization problems involving the minimization of a finite sum of smooth, possibly non-convex functions arise in numerous applications. To achieve a consensus solution over a network, distributed optimization algorithms, such as…

最优化与控制 · 数学 2025-07-09 Lei Qin , Ye Pu

We consider a class of difference-of-convex (DC) optimization problems whose objective is level-bounded and is the sum of a smooth convex function with Lipschitz gradient, a proper closed convex function and a continuous concave function.…

最优化与控制 · 数学 2017-06-23 Bo Wen , Xiaojun Chen , Ting Kei Pong

In this work, we study decentralized convex constrained optimization problems in networks. We focus on the dual averaging-based algorithmic framework that is well-documented to be superior in handling constraints and complex communication…

最优化与控制 · 数学 2022-08-16 Changxin Liu , Yang Shi , Huiping Li , Wenli Du

Decentralized optimization is a powerful paradigm that finds applications in engineering and learning design. This work studies decentralized composite optimization problems with non-smooth regularization terms. Most existing gradient-based…

最优化与控制 · 数学 2019-10-29 Sulaiman A. Alghunaim , Kun Yuan , Ali H. Sayed

Distributed stochastic optimization, arising in the crossing and integration of traditional stochastic optimization, distributed computing and storage, and network science, has advantages of high efficiency and a low per-iteration…

最优化与控制 · 数学 2025-05-20 Jinhui Hu , Guo Chen , Huaqing Li , Zixiang Shen , Weidong Zhang

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

最优化与控制 · 数学 2019-08-02 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

This paper presents a novel accelerated distributed algorithm for unconstrained consensus optimization over static undirected networks. The proposed algorithm combines the benefits of acceleration from momentum, the robustness of the…

This paper studies consensus-based decentralized stochastic optimization for minimizing possibly non-convex expected objectives with convex non-smooth regularizers and nonlinear functional inequality constraints. We reformulate the…

最优化与控制 · 数学 2026-01-29 Shivangi Dubey Sharma , Basil M. Idrees , Lavish Arora , Ketan Rajawat

In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

最优化与控制 · 数学 2014-11-19 Ion Necoara , Dragos Clipici

Distributed consensus optimization has received considerable attention in recent years; several distributed consensus-based algorithms have been proposed for (nonsmooth) convex and (smooth) nonconvex objective functions. However, the…

最优化与控制 · 数学 2019-11-05 Vyacheslav Kungurtsev

We consider a wide range of regularized stochastic minimization problems with two regularization terms, one of which is composed with a linear function. This optimization model abstracts a number of important applications in artificial…

机器学习 · 计算机科学 2018-02-02 Tianyi Lin , Linbo Qiao , Teng Zhang , Jiashi Feng , Bofeng Zhang
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