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This paper addresses the general continuous single facility location problems in finite dimension spaces under possibly different $\ell_p$ norms in the demand points. We analyze the difficulty of this family of problems and revisit…

最优化与控制 · 数学 2013-12-31 Víctor Blanco , Justo Puerto , Safae El Haj Ben Ali

We develop a framework for localized source detection in dynamical systems governed by nonlinear partial differential equations based on first and second-order sensitivity analysis. Building on the standard adjoint formulation, which…

流体动力学 · 物理学 2026-05-18 Qi Wang , Zejian You

In this paper, we develop and numerically implement a novel approach for solving the inverse source problem of the acoustic wave equation in three dimensions. By injecting a small high-contrast droplet into the medium, we exploit the…

数值分析 · 数学 2026-01-23 Shutong Hou , Mourad Sini , Haibing Wang

This paper focuses on static source localization employing different combinations of measurements, including time-difference-of-arrival (TDOA), received-signal-strength (RSS), angle-of-arrival (AOA), and time-of-arrival (TOA) measurements.…

信号处理 · 电气工程与系统科学 2025-04-10 Kang Tang , Sheng Xu , Yuqi Yang , He Kong , Yongsheng Ma

A new method for estimating the relative positions of location-unaware nodes from the location-aware nodes and the received signal strength (RSS) between the nodes, in a wireless sensor network (WSN), is proposed. In the method, a…

网络与互联网体系结构 · 计算机科学 2014-02-11 R. C. Nongpiur

This paper introduces a variant of the Singular Value Decomposition with Phase Transform (SVD-PHAT), named Difference SVD-PHAT (DSVD-PHAT), to achieve robust Sound Source Localization (SSL) in noisy conditions. Experiments are performed on…

音频与语音处理 · 电气工程与系统科学 2019-07-31 Francois Grondin , James Glass

Trilateration-based localization (TBL) has become a corner stone of modern technology. This study formulates the concern on how wireless sensor networks can take advantage of the computational intelligent techniques using both single- and…

网络与互联网体系结构 · 计算机科学 2016-02-09 Hussein S. Al-Olimat , Robert C. Green , Mansoor Alam , Vijay Devabhaktuni , Wei Cheng

Allocation of samples in stratified and/or multistage sampling is one of the central issues of sampling theory. In a survey of a population often the constraints for precision of estimators of subpopulations parameters have to be taken care…

统计理论 · 数学 2015-03-31 Jacek Wesolowski , Robert Wieczorkowski

The numerical solution of singular eigenvalue problems is complicated by the fact that small perturbations of the coefficients may have an arbitrarily bad effect on eigenvalue accuracy. However, it has been known for a long time that such…

数值分析 · 数学 2023-01-10 Daniel Kressner , Ivana Šain Glibić

This paper presents a non-cooperative source localization approach based on received signal strength (RSS) and 2D environment map, considering both line-of-sight (LOS) and non-line-of-sight (NLOS) conditions. Conventional localization…

信号处理 · 电气工程与系统科学 2025-06-11 Hao Sun , Weiming Huang , Xianghao Yu , Junting Chen

In this paper, we propose a novel shape optimization approach for the source identification of elliptic equations. This identification problem arises from two application backgrounds: actuator placement in PDE-constrained optimal controls…

最优化与控制 · 数学 2024-07-04 Wei Gong , Ziyi Zhang

Localisation can be defined as estimating or finding a position of the node. There are two techniques in localisation, which are range-based and range-free techniques. This paper focusses on the Received Signal Strength Indicator (RSSI)…

This paper addresses source localization problem in a random shallow water channel. We present an extension of the generalized MUSIC method to the case, %in which when the signal correlation matrix is imprecisely known. The algorithm is…

大气与海洋物理 · 物理学 2014-10-29 Alexander Sazontov , Ivan Smirnov , Alexander Matveyev

A local and parallel algorithm based on the multilevel discretization is proposed in this paper to solve the eigenvalue problem by the finite element method. With this new scheme, solving the eigenvalue problem in the finest grid is…

数值分析 · 数学 2014-01-21 Yu Li , Xiaole Han , Hehu Xie , Chunguang You

Spatially localized structures are key components of turbulence and other spatio-temporally chaotic systems. From a dynamical systems viewpoint, it is desirable to obtain corresponding exact solutions, though their existence is not…

混沌动力学 · 物理学 2014-05-21 Toshiki Teramura , Sadayoshi Toh

This work introduces a novel numerical method that relaxes the minimal configuration requirements for joint sensors and sources localization (JSSL) in 3D space using time of arrival (TOA) measurements. Traditionally, the principle requires…

信号处理 · 电气工程与系统科学 2024-10-29 Faxian Cao , Yongqiang Cheng , Adil Mehmood Khan , Zhijing Yang , Yingxiu Chang

While Anderson localisation is largely well-understood, its description has traditionally been rather cumbersome. A recently-developed theory -- Localisation Landscape Theory (LLT) -- has unparalleled strengths and advantages, both…

无序系统与神经网络 · 物理学 2021-05-18 Sophie S. Shamailov , Dylan J. Brown , Thomas A. Haase , Maarten D. Hoogerland

The problem of recovering acoustic sources, more specifically monopoles, from point-wise measurements of the corresponding acoustic pressure at a limited number of frequencies is addressed. To this purpose, a family of sparse optimization…

最优化与控制 · 数学 2021-03-30 Konstantin Pieper , Bao Quoc Tang , Philip Trautmann , Daniel Walter

In this work, we argue that current state-of-the-art methods of aircraft localization such as multilateration are insufficient, in particular for modern crowdsourced air traffic networks with random, unplanned deployment geometry. We…

网络与互联网体系结构 · 计算机科学 2016-10-24 Martin Strohmeier , Vincent Lenders , Ivan Martinovic

In this paper we consider the localization problem for a visual sensor network. Inspired by the alternate attitude and position distributed optimization framework discussed in [1], we propose an estimation scheme that exploits the unit dual…

系统与控制 · 电气工程与系统科学 2022-03-15 Luca Varotto , Marco Fabris , Giulia Michieletto , Angelo Cenedese