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This paper proposes a novel class of distributed continuous-time coordination algorithms to solve network optimization problems whose cost function is a sum of local cost functions associated to the individual agents. We establish the…

最优化与控制 · 数学 2014-08-25 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

The randomized projection (RP) method is a simple iterative scheme for solving linear feasibility problems and has recently gained popularity due to its speed and low memory requirement. This paper develops an accelerated variant of the…

最优化与控制 · 数学 2022-11-21 Lin Zhu , Yuan Lei , Jiaxin Xie

This paper studies the synchronization of stochastic linear systems which are subject to a general class of noises, in the sense that the noises are bounded in covariance but might be correlated with the states of agents and among each…

系统与控制 · 电气工程与系统科学 2022-05-16 Jiaqi Yan , Yilin Mo , Hideaki Ishii

The randomized Kaczmarz methods are a popular and effective family of iterative methods for solving large-scale linear systems of equations, which have also been applied to linear feasibility problems. In this work, we propose a new block…

最优化与控制 · 数学 2024-06-19 Minxin Zhang , Jamie Haddock , Deanna Needell

Random projection algorithm is an iterative gradient method with random projections. Such an algorithm is of interest for constrained optimization when the constraint set is not known in advance or the projection operation on the whole…

最优化与控制 · 数学 2013-05-02 Soomin Lee , Angelia Nedich

Machine learning with big data often involves large optimization models. For distributed optimization over a cluster of machines, frequent communication and synchronization of all model parameters (optimization variables) can be very…

最优化与控制 · 数学 2017-10-17 Lin Xiao , Adams Wei Yu , Qihang Lin , Weizhu Chen

This paper deals with the problem of remote estimation of the state of a discrete-time stochastic linear system observed by a sensor with computational capacity to calculate local estimates. We design an event-triggered communication (ETC)…

系统与控制 · 电气工程与系统科学 2023-09-18 Xiaolei Bian , Huimin Chen , X. Rong Li

In this paper, a class of large-scale distributed nonsmooth convex optimization problem over time-varying multi-agent network is investigated. Specifically, the decision space which can be split into several blocks of convex set is…

最优化与控制 · 数学 2024-10-18 Zhan Yu , Daniel W. C. Ho

In several smart city applications, multiple resources must be allocated among competing agents that are coupled through such shared resources and are constrained --- either through limitations of communication infrastructure or privacy…

系统与控制 · 计算机科学 2023-10-19 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

In recent years, there is a growing need to train machine learning models on a huge volume of data. Designing efficient distributed optimization algorithms for empirical risk minimization (ERM) has therefore become an active and challenging…

最优化与控制 · 数学 2019-11-19 Ching-pei Lee , Kai-Wei Chang

Coordinated optimal dispatch is of utmost importance for the efficient and secure operation of hierarchically structured power systems. Conventional coordinated optimization methods, such as the Lagrangian relaxation and Benders…

最优化与控制 · 数学 2025-10-27 Zhenfei Tan , Zheng Yan , Haiwang Zhong , Qing Xia

We propose iterative projection methods for solving square or rectangular consistent linear systems Ax = b. Existing projection methods use sketching matrices (possibly randomized) to generate a sequence of small projected subproblems, but…

数值分析 · 数学 2023-12-13 Johannes J. Brust , Michael A. Saunders

To conduct a more in-depth investigation of randomized solvers for solving linear systems, we adopt a unified randomized batch-sampling Kaczmarz framework with per-iteration costs as low as cyclic block methods, and develop a general…

数值分析 · 数学 2026-04-21 Dong-Yue Xie , Xi Yang

This work is concerned with the problem of distributed resource allocation in continuous-time setting but with discrete-time communication over infinitely jointly connected and balanced digraphs. We provide a passivity-based perspective for…

多智能体系统 · 计算机科学 2021-01-18 Lanlan Su , Mengmou Li , Vijay Gupta , Graziano Chesi

The block Kaczmarz method and its variants are designed for solving the over-determined linear system. They involve iteratively projecting the current point onto the solution space of a subset of constraints. In this work, by alternately…

数值分析 · 数学 2023-11-02 Nian-Ci Wu , Yang Zhou , Zhaolu Tian

The Kaczmarz algorithm is an iterative technique designed to solve consistent linear systems of equations. It falls within the category of row-action methods, focusing on handling one equation per iteration. This characteristic makes it…

分布式、并行与集群计算 · 计算机科学 2024-02-01 Inês Ferreira , Juan A. Acebrón , José Monteiro

In this paper, the distributed resource allocation optimization problem is investigated. The allocation decisions are made to minimize the sum of all the agents' local objective functions while satisfying both the global network resource…

最优化与控制 · 数学 2017-04-11 Peng Yi , Yiguang Hong , Feng Liu

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

最优化与控制 · 数学 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

In this paper, we study a distributed parameter estimation problem with an asynchronous communication protocol over multi-agent systems. Different from traditional time-driven communication schemes, in this work, data can be transmitted…

系统与控制 · 计算机科学 2019-03-04 Xingkang He , Qian Liu , Junfeng Wu , Karl Henrik Johansson

We study the problem of stochastic optimization for deep learning in the parallel computing environment under communication constraints. A new algorithm is proposed in this setting where the communication and coordination of work among…

机器学习 · 计算机科学 2015-10-27 Sixin Zhang , Anna Choromanska , Yann LeCun