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An energy efficient use of large scale sensor networks necessitates activating a subset of possible sensors for estimation at a fusion center. The problem is inherently combinatorial; to this end, a set of iterative, randomized algorithms…

信息论 · 计算机科学 2017-09-13 Arpan Chattopadhyay , Urbashi Mitra

A distributed algorithm is described for solving a linear algebraic equation of the form $Ax=b$ assuming the equation has at least one solution. The equation is simultaneously solved by $m$ agents assuming each agent knows only a subset of…

系统与控制 · 计算机科学 2015-03-04 Shaoshuai Mou , Ji Liu , A. Stephen Morse

Inspired and underpinned by the idea of integral feedback, a distributed constant gain algorithm is proposed for multi-agent networks to solve convex optimization problems with local linear constraints. Assuming agent interactions are…

最优化与控制 · 数学 2021-11-19 Xuan Wang , Shaoshuai Mou , Brian. D. O. Anderson

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 2020-02-11 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

The presence of outliers can significantly degrade the performance of ellipse fitting methods. We develop an ellipse fitting method that is robust to outliers based on the maximum correntropy criterion with variable center (MCC-VC), where a…

计算机视觉与模式识别 · 计算机科学 2023-05-17 Wei Wang , Gang Wang , Chenlong Hu , K. C. Ho

We propose a communication- and computation-efficient distributed optimization algorithm using second-order information for solving empirical risk minimization (ERM) problems with a nonsmooth regularization term. Our algorithm is applicable…

机器学习 · 计算机科学 2019-12-16 Ching-pei Lee , Cong Han Lim , Stephen J. Wright

Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

最优化与控制 · 数学 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

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…

最优化与控制 · 数学 2023-05-02 Hadi Reisizadeh , Anand Gokhale , Behrouz Touri , Soheil Mohajer

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…

最优化与控制 · 数学 2016-05-25 David Mateos-Núñez , Jorge Cortés

Emerging large-scale engineering systems rely on distributed fusion for situational awareness, where agents combine noisy local sensor measurements with exchanged information to obtain fused estimates. However, at the sheer scale of these…

系统与控制 · 电气工程与系统科学 2026-03-18 Leonardo Pedroso , Pedro Batista , W. P. M. H. Heemels

In this work we develop a novel approach using deep neural networks to reconstruct the conductivity distribution in elliptic problems from one measurement of the solution over the whole domain. The approach is based on a mixed reformulation…

数值分析 · 数学 2023-12-20 Bangti Jin , Xiyao Li , Qimeng Quan , Zhi Zhou

We consider a class of popular distributed non-convex optimization problems, in which agents connected by a network $\mathcal{G}$ collectively optimize a sum of smooth (possibly non-convex) local objective functions. We address the…

最优化与控制 · 数学 2020-01-08 Haoran Sun , Mingyi Hong

We establish the pointwise convergence of the iterative Lloyd algorithm, also known as $k$-means algorithm, when the quadratic quantization error of the starting grid (with size $N\ge 2$) is lower than the minimal quantization error with…

概率论 · 数学 2014-01-03 Gilles Pagès , Jun Yu

The problem of distributed identification of linear stochastic system with unknown coefficients over time-varying networks is considered. For estimating the unknown coefficients, each agent in the network can only access the input and the…

系统与控制 · 电气工程与系统科学 2021-08-04 Kewei Fu , Han-Fu Chen , Wenxiao Zhao

Determining the John ellipsoid - the largest volume ellipsoid contained within a convex polytope - is a fundamental problem with applications in machine learning, optimization, and data analytics. Recent work has developed fast algorithms…

数据结构与算法 · 计算机科学 2025-02-24 Xiaoyu Li , Yingyu Liang , Zhenmei Shi , Zhao Song , Junwei Yu

In this paper, we analyze the convergence of a distributed Robbins-Monro algorithm for both constrained and unconstrained optimization in multi-agent systems. The algorithm searches for local minima of a (nonconvex) objective function which…

信息论 · 计算机科学 2011-04-20 Pascal Bianchi , Jérémie Jakubowicz

We propose a distributed, cubic-regularized Newton method for large-scale convex optimization over networks. The proposed method requires only local computations and communications and is suitable for federated learning applications over…

最优化与控制 · 数学 2020-07-08 César A. Uribe , Ali Jadbabaie

Adaptive algorithms based on in-network processing over networks are useful for online parameter estimation of historical data (e.g., noise covariance) in predictive control and machine learning areas. This paper focuses on the distributed…

最优化与控制 · 数学 2020-04-01 Jiahong Li , Nan Ma , Fang Deng

This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic framework for the minimization of the sum of a smooth nonconvex…

最优化与控制 · 数学 2018-09-05 Gesualdo Scutari , Ying Sun

The nearest lattice point problem in $\mathbb{R}^n$ is formulated in a distributed network with $n$ nodes. The objective is to minimize the probability that an incorrect lattice point is found, subject to a constraint on inter-node…

信息论 · 计算机科学 2024-09-17 V. A. Vaishampayan , M. F. Bollauf
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