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Related papers: A Robust EDM Optimization Approach for 3D Single-S…

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A popular approach for 3D source localization using multiple microphones is the steered-response power method, where the source position is directly estimated by maximizing a function of three continuous position variables. Instead of…

Audio and Speech Processing · Electrical Eng. & Systems 2022-05-19 Klaus Brümann , Simon Doclo

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

Localizing a cloud of points from noisy measurements of a subset of pairwise distances has applications in various areas, such as sensor network localization and reconstruction of protein conformations from NMR measurements. In [1], Drineas…

Information Theory · Computer Science 2019-05-01 Huan Zhang , Yulong Liu , Hong Lei

Euclidean Distance Matrix (EDM), which consists of pairwise squared Euclidean distances of a given point configuration, finds many applications in modern machine learning. This paper considers the setting where only a set of anchor nodes is…

Machine Learning · Computer Science 2025-05-27 Chandra Kundu , Abiy Tasissa , HanQin Cai

A popular method to estimate the positions or directions-of-arrival (DOAs) of multiple sound sources using an array of microphones is based on steered-response power (SRP) beamforming. For a three-dimensional scenario, SRP-based methods…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-21 Klaus Brümann , Simon Doclo

This paper presents a unified framework for robust three-dimensional (3-D) source localization using a network of sensors equipped with one-dimensional (1-D) linear arrays. While such arrays offer practical advantages in terms of cost and…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Ehsan Alamdari , Rouhollah Amiri

The problem of recovering the configuration of points from their partial pairwise distances, referred to as the Euclidean Distance Matrix Completion (EDMC) problem, arises in a broad range of applications, including sensor network…

Optimization and Control · Mathematics 2026-05-07 Chandler Smith , HanQin Cai , Abiy Tasissa

A Euclidean Distance Matrix (EDM) is a table of distance-square between points on a k- dimensional Euclidean space, with applications in many fields (e.g. engineering, geodesy, economics, genetics, biochemistry, psychology). A problem that…

Optimization and Control · Mathematics 2017-11-17 Nilson Moreira , Leonardo Duarte , Carlile Lavor , Cristiano Torezzan

Simultaneous localization and tracking (SLAT) in sensor networks aims to determine the positions of sensor nodes and a moving target in a network, given incomplete and inaccurate range measurements between the target and each of the…

Optimization and Control · Mathematics 2016-08-14 Pınar Oğuz-Ekim , João Gomes , João Xavier , Paulo Oliveira

Deploying multiple unmanned aerial vehicles (UAVs) to locate a signal-emitting source covers a wide range of military and civilian applications like rescue and target tracking. It is well known that the UAVs-source (sensors-target)…

Signal Processing · Electrical Eng. & Systems 2024-07-19 Xin Cheng , Guangjie Han , Jinlin Peng , Jinfang Jiang , Yu He , Weiqiang Zhu , Feng Shu , Jiangzhou Wang

We consider the \emph{exact} error correction of a noisy Euclidean distance matrix, EDM, where the elements are the squared distances between $n$ points in $R^d$. For our problem we are given two facts: (i) the embedding dimension, $d$,…

Optimization and Control · Mathematics 2024-06-25 Abdo Alfakih , Woosuk L. Jung , Henry Wolkowicz , Tina Xu

Euclidean distance matrices (EDM) are matrices of squared distances between points. The definition is deceivingly simple: thanks to their many useful properties they have found applications in psychometrics, crystallography, machine…

Other Computer Science · Computer Science 2016-11-15 Ivan Dokmanic , Reza Parhizkar , Juri Ranieri , Martin Vetterli

A new algorithm for 3D localization in multiplatform radar networks, comprising one transmitter and multiple receivers, is proposed. To take advantage of the monostatic sensor radiation pattern features, ad-hoc constraints are imposed in…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Augusto Aubry , Paolo Braca , Antonio De Maio , Angela Marino

Euclidean distance matrices (EDMs) are a major tool for localization from distances, with applications ranging from protein structure determination to global positioning and manifold learning. They are, however, static objects which serve…

Signal Processing · Electrical Eng. & Systems 2019-03-19 Puoya Tabaghi , Ivan Dokmanić , Martin Vetterli

Accurate and ubiquitous localization is crucial for a variety of applications such as logistics, navigation, intelligent transport, monitoring, control, and also for the benefit of communications. Exploiting millimeter-wave (mmWave) signals…

Signal Processing · Electrical Eng. & Systems 2022-12-02 Mohammad A. Nazari , Gonzalo Seco-Granados , Pontus Johannisson , Henk Wymeersch

Euclidean distance matrix optimization with ordinal constraints (EDMOC) has found important applications in sensor network localization and molecular conformation. It can also be viewed as a matrix formulation of multidimensional scaling,…

Optimization and Control · Mathematics 2020-06-23 Sitong Lu , Miao Zhang , Qingna Li

We introduce the first learning-based dense matching algorithm, termed Equirectangular Projection-Oriented Dense Kernelized Feature Matching (EDM), specifically designed for omnidirectional images. Equirectangular projection (ERP) images,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-03 Dongki Jung , Jaehoon Choi , Yonghan Lee , Somi Jeong , Taejae Lee , Dinesh Manocha , Suyong Yeon

The problem of determining the configuration of points from partial distance information, known as the Euclidean Distance Geometry (EDG) problem, is fundamental to many tasks in the applied sciences. In this paper, we propose two algorithms…

Optimization and Control · Mathematics 2024-10-10 Chandler Smith , HanQin Cai , Abiy Tasissa

In the d-Euclidean Distance Matrix Completion (d-EDMC) problem, one aims to determine whether a given partial matrix of pairwise distances can be extended to a full Euclidean distance matrix in d dimensions. This problem is a cornerstone of…

Data Structures and Algorithms · Computer Science 2026-03-23 Fedor V. Fomin , Petr A. Golovach , M. S. Ramanujan , Saket Saurabh

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…

Optimization and Control · Mathematics 2011-11-30 Pınar Oğuz-Ekim , João Gomes , João Xavier , Marko Stošić , Paulo Oliveira
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