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This work is concerned with the inverse source problem of locating multiple multipolar sources from boundary measurements for the Helmholtz equation. We develop simple and effective sampling schemes for location acquisition of the sources…

Analysis of PDEs · Mathematics 2018-01-18 Deyue Zhang , Yukun Guo , Jingzhi Li , Hongyu Liu

We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single source of unknown position. The measurements at each sensor are modeled by independent inhomogeneous Poisson processes.…

Statistics Theory · Mathematics 2018-06-19 Christian Farinetto , Yury A. Kutoyants , Alioune Top

Autonomous machines must self-maintain proper functionality to ensure the safety of humans and themselves. This pertains particularly to its cameras as predominant sensors to perceive the environment and support actions. A fundamental…

Computer Vision and Pattern Recognition · Computer Science 2024-04-05 Maik Wischow , Patrick Irmisch , Anko Boerner , Guillermo Gallego

Owing to the edge preserving ability and low computational cost of the total variation (TV), variational models with the TV regularization have been widely investigated in the field of multiplicative noise removal. The key points of the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-18 Dai-Qiang Chen , Li-Zhi Cheng

This study addresses limited attention allocation in a stochastic linear quadratic system with multiplicative noise. Our approach enables strategic resource allocation to enhance noise estimation and improve control decisions. We provide…

Optimization and Control · Mathematics 2024-03-28 Xiangyu Cui , Jianjun Gao , Lingjie Kong

Dynamic objects in the environment, such as people and other agents, lead to challenges for existing simultaneous localization and mapping (SLAM) approaches. To deal with dynamic environments, computer vision researchers usually apply some…

Robotics · Computer Science 2021-08-04 Tianwei Zhang , Huayan Zhang , Xiaofei Li , Junfeng Chen , Tin Lun Lam , Sethu Vijayakumar

Acoustic reverberation is one of the most relevant factors that hampers the localization of a sound source inside a room. To date, several approaches have been proposed to deal with it, but have not always been evaluated under realistic…

This paper considers the problem of simultaneous 2-D room shape reconstruction and self-localization without the requirement of any pre-established infrastructure. A mobile device equipped with co-located microphone and loudspeaker as well…

Robotics · Computer Science 2016-12-20 Tiexing Wang , Fangrong Peng , Biao Chen

The present paper proposes a data-driven sensor selection method for a high-dimensional nondynamical system with strongly correlated measurement noise. The proposed method is based on proximal optimization and determines sensor locations by…

Signal Processing · Electrical Eng. & Systems 2022-11-29 Takayuki Nagata , Keigo Yamada , Taku Nonomura , Kumi Nakai , Yuji Saito , Shunsuke Ono

Fine localization is a crucial task for autonomous vehicles. Although many algorithms have been explored in the literature for this specific task, the goal of getting accurate results from commodity sensors remains a challenge. As…

Signal Processing · Electrical Eng. & Systems 2021-04-14 Samuel Todd Flanagan , Drupad K. Khublani , J. -F. Chamberland , Siddharth Agarwal , Ankit Vora

In this paper we address the challenging problem of multiple source localization in Wireless Sensor Networks (WSN). We develop an efficient statistical algorithm, based on the novel application of Sequential Monte Carlo (SMC) sampler…

Information Theory · Computer Science 2015-04-23 Thi Le Thu Nguyen , Francois Septier , Harizo Rajaona , Gareth W. Peters , Ido Nevat , Yves Delignon

Many challenging tasks in sensor networks, including sensor calibration, ranking of nodes, monitoring, event region detection, collaborative filtering, collaborative signal processing, {\em etc.}, can be formulated as a problem of solving a…

Numerical Analysis · Computer Science 2009-01-20 Danny Bickson , Ezra N. Hoch , Harel Avissar , Danny Dolev

This paper aims at distributed algorithms for solving a system of linear algebraic equations. Different from most existing formulations for this problem, we assume that the local data at each node is not accurately measured but subject to…

Optimization and Control · Mathematics 2023-05-10 Yutao Tang , Yicheng Zhang , Ruonan Li , Xinghu Wang

Herein, the problem of simultaneous localization of multiple sources given a number of energy samples at different locations is examined. The strategies do not require knowledge of the signal propagation models, nor do they exploit the…

Information Theory · Computer Science 2019-02-13 Junting Chen , Urbashi Mitra

Using a series of detector measurements taken at different locations to localize a source of radiation is a well-studied problem. The source of radiation is sometimes constrained to a single point-like source, in which case the location of…

Instrumentation and Detectors · Physics 2021-10-06 M. S. Bandstra , D. Hellfeld , J. R. Vavrek , B. J. Quiter , K. Meehan , P. J. Barton , J. W. Cates , A. Moran , V. Negut , R. Pavlovsky , T. H. Y. Joshi

In this work, we investigate data fitting problems with random noises. A randomized progressive iterative regularization method is proposed. It works well for large-scale matrix computations and converges in expectation to the least-squares…

Numerical Analysis · Mathematics 2025-06-05 Dakang Cen , Wenlong Zhang , Junbin Zhong

We study the problem of maximizing privacy of quantized sensor measurements by adding random variables. In particular, we consider the setting where information about the state of a process is obtained using noisy sensor measurements. This…

Systems and Control · Computer Science 2018-09-11 Carlos Murguia , Iman Shames , Farhad Farokhi , Dragan Nesic

We are interested in the localization of defects in non-absorbing inhomogeneous media with far-field measurements generated by plane waves. In localization problems, most so-called sampling methods are based on a characterization involving…

Numerical Analysis · Mathematics 2013-04-02 Yann Grisel , Jérémie Fourbil , Vincent Mouysset

We study detection methods for multivariable signals under dependent noise. The main focus is on three-dimensional signals, i.e. on signals in the space-time domain. Examples for such signals are multifaceted. They include geographic and…

Probability · Mathematics 2018-03-20 Annabel Prause , Ansgar Steland

Sound source localization (SSL) is a critical technology for determining the position of sound sources in complex environments. However, existing methods face challenges such as high computational costs and precise calibration requirements,…

Sound · Computer Science 2025-05-28 Yiyuan Yang , Shitong Xu , Niki Trigoni , Andrew Markham
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