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The physical position is crucial in location-aware services or protocols based on geographic information, where localization is performed given a set of sensor measurements for acquiring the position of an object with respect to a certain…

Applications · Statistics 2022-04-14 Wu Junfeng , Mu Biqiang , Yi Xinlei , Wei Jieqiang , Johansson Karl Henrik

Trace norm regularization is a widely used approach for learning low rank matrices. A standard optimization strategy is based on formulating the problem as one of low rank matrix factorization which, however, leads to a non-convex problem.…

Machine Learning · Computer Science 2017-08-01 Carlo Ciliberto , Dimitris Stamos , Massimiliano Pontil

Herein, the problem of simultaneous localization of two sources given a modest number of samples is examined. In particular, the strategy does not require knowledge of the target signatures of the sources a priori, nor does it exploit…

Information Theory · Computer Science 2017-04-21 Junting Chen , Urbashi Mitra

The single source localization problem (SSLP) appears in several fields such as signal processing and global positioning systems. The optimization problem of SSLP is nonconvex and difficult to find its globally optima solution. It can be…

Optimization and Control · Mathematics 2022-05-19 He Shi , Qingna Li

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…

Fluid Dynamics · Physics 2026-05-18 Qi Wang , Zejian You

A common approach to localize a mobile robot is by measuring distances to points of known positions, called anchors. Locating a device from distance measurements is typically posed as a non-convex optimization problem, stemming from the…

Robotics · Computer Science 2024-09-04 Frederike Dümbgen , Connor Holmes , Timothy D. Barfoot

We consider the sound ranging, or source localization, problem - find the source-point from the moments when the wave-sphere of linearly, with time, increasing radius reaches the sensor-points - in the proper metric spaces (any closed ball…

Functional Analysis · Mathematics 2021-03-16 Sergij V. Goncharov

Locating sources of diffusion and spreading from minimum data is a significant problem in network science with great applied values to the society. However, a general theoretical framework dealing with optimal source localization is…

Social and Information Networks · Computer Science 2017-03-16 Zhao-Long Hu , Xiao Han , Ying-Cheng Lai , Wen-Xu Wang

Source identification problems have multiple applications in engineering such as the identification of fissures in materials, determination of sources in electromagnetic fields or geophysical applications, detection of contaminant sources,…

Numerical Analysis · Mathematics 2021-11-12 Guillermo F. Umbricht , Diana Rubio , Claudio El Hasi

This paper considers the problem of localising a stationary signal source using a team of mobile agents which only take binary measurements. Background false detection rates and missed detection probabilities are incorporated into the…

Signal Processing · Electrical Eng. & Systems 2018-09-13 Daniel D. Selvaratnam , Iman Shames , Jonathan H. Manton , Branko Ristic

In this paper, an approach of estimating signal parameters via rotational invariance technique (ESPRIT) is proposed for two-dimensional (2-D) localization of incoherently distributed (ID) sources in large-scale/massive multiple-input…

Information Theory · Computer Science 2015-06-23 Anzhong Hu , Tiejun Lv , Hui Gao , Zhang Zhang , Shaoshi Yang

This paper considers a radio-frequency (RF)-based simultaneous localization and source-seeking (SLASS) problem in multi-robot systems, where multiple robots jointly localize themselves and an RF source using distance-only measurements…

Signal Processing · Electrical Eng. & Systems 2023-06-28 Ke Xu , Rui Zhang , He Chen

We consider the problem of recovering a signal consisting of a superposition of point sources from low-resolution data with a cut-off frequency f. If the distance between the sources is under 1/f, this problem is not well posed in the sense…

Optimization and Control · Mathematics 2016-09-09 Carlos Fernandez-Granda

In this paper, we are tackling the proposal-free referring expression grounding task, aiming at localizing the target object according to a query sentence, without relying on off-the-shelf object proposals. Existing proposal-free methods…

Computer Vision and Pattern Recognition · Computer Science 2021-03-10 Mingjie Sun , Jimin Xiao , Eng Gee Lim

This paper studies a coordinate alignment problem for cooperative mobile sensor network localization with range-based measurements. The network consists of target nodes, each of which has only access position information in a local fixed…

Systems and Control · Computer Science 2020-02-25 Keyou You , Qizhu Chen , Pei Xie , Shiji Song

This paper develops a discrete data-driven approach for solving the inverse source problem of the wave equation with final time measurements. Focusing on the $L^2$-Tikhonov regularization method, we analyze its convergence under two…

Numerical Analysis · Mathematics 2026-01-01 Qiling Gu , Wenlong Zhang , Zhidong Zhang

Source localization and spectral estimation are among the most fundamental problems in statistical and array signal processing. Methods which rely on the orthogonality of the signal and noise subspaces, such as Pisarenko's method, MUSIC,…

Information Theory · Computer Science 2019-04-16 Matthew W. Morency , Sergiy A. Vorobyov , Geert Leus

We propose a new majorization-minimization (MM) method for non-smooth and non-convex programs, which is general enough to include the existing MM methods. Besides the local majorization condition, we only require that the difference between…

Optimization and Control · Mathematics 2015-11-26 Chen Xu , Zhouchen Lin , Zhenyu Zhao , Hongbin Zha

The localization of multiple signal sources using sensor arrays has been a long-standing research challenge. While numerous solutions have been developed, signal space methods like MUSIC and ESPRIT have gained widespread popularity. As…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Mehdi Haghshenas , Aamir Mahmood , Mikael Gidlund

In this paper we use the MAP criterion to locate a region containing a source. Sensors placed in a field of interest divide the latter into smaller regions and take measurements that are transmitted over noisy wireless channels. We propose…

Optimization and Control · Mathematics 2009-03-19 S. H. Dandach , F. Bullo