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We address the sensor network localization problem given noisy range measurements between pairs of nodes. We approach the non-convex maximum-likelihood formulation via a known simple convex relaxation. We exploit its favorable optimization…

最优化与控制 · 数学 2015-09-30 Cláudia Soares , João Xavier , João Gomes

Decentralized optimization strategies are helpful for various applications, from networked estimation to distributed machine learning. This paper studies finite-sum minimization problems described over a network of nodes and proposes a…

系统与控制 · 电气工程与系统科学 2024-08-06 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee

Decentralized optimization for non-convex problems are now demanding by many emerging applications (e.g., smart grids, smart building, etc.). Though dramatic progress has been achieved in convex problems, the results for non-convex cases,…

最优化与控制 · 数学 2022-08-30 Yu Yang , Guoqiang Hu , Costas J. Spanos

This manuscript is a preliminary pre-print version of a journal submission by the authors, revisiting the problem of range measurement based localization of a signal source or a sensor. The major geometric difficulty of the problem comes…

最优化与控制 · 数学 2013-10-29 Baris Fidan , Fatma Kiraz

This work considers the problem of locating a single source from noisy range measurements to a set of nodes in a wireless sensor network. We propose two new techniques that we designate as Source Localization with Nuclear Norm (SLNN) and…

最优化与控制 · 数学 2011-11-30 Pınar Oğuz-Ekim , João Gomes , João Xavier , Marko Stošić , Paulo Oliveira

We propose a class of convex relaxations to solve the sensor network localization problem, based on a maximum likelihood (ML) formulation. This class, as well as the tightness of the relaxations, depends on the noise probability density…

信息论 · 计算机科学 2017-09-18 Andrea Simonetto , Geert Leus

In this paper, we consider a nonconvex optimization problem with nonlinear equality constraints. We assume that both, the objective function and the functional constraints are locally smooth. For solving this problem, we propose a…

最优化与控制 · 数学 2025-05-08 Lahcen El Bourkhissi , Ion Necoara

Sensor network localization problem is to determine the position of the sensor nodes in a network given pairwise distance measurements. Such problem can be formulated as a polynomial minimization via the least squares method. This paper…

计算复杂性 · 计算机科学 2013-11-22 Ning Ruan , David Y Gao

Real-world network applications must cope with failing nodes, malicious attacks, or, somehow, nodes facing corrupted data --- classified as outliers. One enabling application is the geographic localization of the network nodes. However,…

最优化与控制 · 数学 2016-10-31 Cláudia Soares , João Gomes

This paper addresses a class of constrained optimization problems over networks in which local cost functions and constraints can be nonconvex. We propose an asynchronous distributed optimization algorithm, relying on the centralized Method…

最优化与控制 · 数学 2018-12-11 Francesco Farina , Andrea Garulli , Antonio Giannitrapani , Giuseppe Notarstefano

In this paper, we develop a \textcolor{black}{\emph{distributed}} algorithm to localize a network of robots moving arbitrarily in a bounded region. In the case of such mobile networks, the main challenge is that the robots may not be able…

机器人学 · 计算机科学 2017-03-21 Sam Safavi , Usman Khan

We propose an efficient solution to peer-to-peer localization in a wireless sensor network which works in two stages. At the first stage the optimization problem is relaxed into a convex problem, given in the form recently proposed by…

网络与互联网体系结构 · 计算机科学 2016-04-12 Nicola Piovesan , Tomaso Erseghe

In this paper, we propose a successive pseudo-convex approximation algorithm to efficiently compute stationary points for a large class of possibly nonconvex optimization problems. The stationary points are obtained by solving a sequence of…

最优化与控制 · 数学 2018-12-17 Yang Yang , Marius Pesavento

This paper addresses a class of general nonsmooth and nonconvex composite optimization problems subject to nonlinear equality constraints. We assume that a part of the objective function and the functional constraints exhibit local…

最优化与控制 · 数学 2025-03-04 Lahcen El Bourkhissi , Ion Necoara , Panagiotis Patrinos , Quoc Tran-Dinh

This paper addresses the problem of localization, which is inherently non-convex and non-smooth in a federated setting where the data is distributed across a multitude of devices. Due to the decentralized nature of federated environments,…

机器学习 · 计算机科学 2023-09-04 Reza Mirzaeifard , Naveen K. D. Venkategowda , Stefan Werner

This study deals with the problem of optimizing transmit power in high density heterogeneous networks. In the communication network, effective methods of allocating transmit power, in order to reduce the total transmit power, but still…

信号处理 · 电气工程与系统科学 2021-12-23 Nguyen Doan Hieu , Dao Le Thu Thao , Tran Manh Hoang

Stochastic nonconvex optimization problems with nonlinear constraints have a broad range of applications in intelligent transportation, cyber-security, and smart grids. In this paper, first, we propose an inexact-proximal accelerated…

最优化与控制 · 数学 2021-07-08 Morteza Boroun , Afrooz Jalilzadeh

We consider the inverse scattering problem for time-harmonic acoustic waves in a medium with pointwise inhomogeneities. In the Foldy-Lax model, the estimation of the scatterers' locations and intensities from far field measurements can be…

数值分析 · 数学 2024-07-25 Giovanni S. Alberti , Romain Petit , Matteo Santacesaria

This paper develops and analyzes an online distributed proximal-gradient method (DPGM) for time-varying composite convex optimization problems. Each node of the network features a local cost that includes a smooth strongly convex function…

最优化与控制 · 数学 2024-05-07 Nicola Bastianello , Emiliano Dall'Anese

This paper focuses on target localization in a widely distributed multiple-input-multiple-output (MIMO) radar system. In this system, range measurements, which include the sum of distances between transmitter and target and the distances…

信号处理 · 电气工程与系统科学 2018-06-01 Hao Wang , Chi-Sing Leung , Hing Cheung So , Junli Liang , Ruibin Feng , Zifa Han
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