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A central question in numerical homogenization of partial differential equations with multiscale coefficients is the accurate computation of effective quantities, such as the homogenized coefficients. Computing homogenized coefficients…

Numerical Analysis · Mathematics 2020-07-22 Assyr Abdulle , Doghonay Arjmand , Edoardo Paganoni

This short communication addresses the problem of elliptic localization with outlier measurements. Outliers are prevalent in various location-enabled applications, and can significantly compromise the positioning performance if not…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Wenxin Xiong , Yuming Chen , Jiajun He , Zhang-Lei Shi , Keyuan Hu , Hing Cheung So , Chi-Sing Leung

This paper addresses a multi-scale finite element method for second order linear elliptic equations with arbitrarily rough coefficient. We propose a local oversampling method to construct basis functions that have optimal local…

Numerical Analysis · Mathematics 2015-08-04 Thomas Y. Hou , Pengfei Liu

Identification and localization of sounds are both integral parts of computational auditory scene analysis. Although each can be solved separately, the goal of forming coherent auditory objects and achieving a comprehensive spatial scene…

Sound · Computer Science 2019-12-24 Ivo Trowitzsch , Christopher Schymura , Dorothea Kolossa , Klaus Obermayer

Deep neural networks have recently led to promising results for the task of multiple sound source localization. Yet, they require a lot of training data to cover a variety of acoustic conditions and microphone array layouts. One can…

Audio and Speech Processing · Electrical Eng. & Systems 2021-03-18 Guillaume Le Moing , Phongtharin Vinayavekhin , Don Joven Agravante , Tadanobu Inoue , Jayakorn Vongkulbhisal , Asim Munawar , Ryuki Tachibana

In this paper, we explore the multiple source localisation problem in the cerebral cortex using magnetoencephalography (MEG) data. We model neural currents as point-wise dipolar sources which dynamically evolve over time, then model dipole…

Applications · Statistics 2015-06-18 Xi Chen , Simo Särkkä , Simon Godsill

We introduce a model-based iterative method to obtain shear modulus images of tissue using magnetic resonance elastography. The method jointly finds the displacement field that best fits multifrequency tissue displacement data and the…

Signal Processing · Electrical Eng. & Systems 2021-11-25 Shahed Mohammed , Mohammad Honarvar , Qi Zeng , Hoda Hashemi , Robert Rohling , Piotr Kozlowski , Septimiu Salcudean

The source detection problem in network analysis involves identifying the origins of diffusion processes, such as disease outbreaks or misinformation propagation. Traditional methods often focus on single sources, whereas real-world…

Social and Information Networks · Computer Science 2025-07-14 Haomin Li , Daniel K. Sewell

We consider the acoustic source imaging problems using multiple frequency data. Using the data of one observation direction/point, we prove that some information (size and location) of the source support can be recovered. A non-iterative…

Analysis of PDEs · Mathematics 2017-12-08 Ala Alzaalig , Guanghui Hu , Xiaodong Liu , Jiguang Sun

Ensemble-based approaches are very effective in various fields in raising the accuracy of its individual members, when some voting rule is applied for aggregating the individual decisions. In this paper, we investigate how to find and…

Artificial Intelligence · Computer Science 2019-04-10 Attila Tiba , Andras Hajdu , Gyorgy Terdik , Henrietta Toman

In this work, we propose a high-order multiscale method for an elliptic model problem with rough and possibly highly oscillatory coefficients. Convergence rates of higher order are obtained using the regularity of the right-hand side only.…

Numerical Analysis · Mathematics 2023-04-18 Zhaonan Dong , Moritz Hauck , Roland Maier

Source localization is widely used in many areas including GPS, but the influence of possible noises is not so negligible. Many optimization methods are attempted to alleviate different kinds of noises. Needless to say the stability of the…

Signal Processing · Electrical Eng. & Systems 2024-02-16 Kiwoon Kwon

A deep learning approach based on big data is proposed to locate broadband acoustic sources using a single hydrophone in ocean waveguides with uncertain bottom parameters. Several 50-layer residual neural networks, trained on a huge number…

Atmospheric and Oceanic Physics · Physics 2019-07-19 Haiqiang Niu , Zaixiao Gong , Emma Ozanich , Peter Gerstoft , Haibin Wang , Zhenglin Li

The layout of acoustic emission sensors plays a critical role in non-destructive structural testing. This study proposes a grid-based optimization method focused on multi-source location results, in contrast to traditional sensor layout…

Geophysics · Physics 2025-01-22 Yiling Chen , Xueyi Shang , Yi Ren , Linghao Liu , Xiaoying Li , Yu Zhang , Xiao Wu , Zhuqing Li , Yang Tai

Acoustic indoor localization offers the potential for highly accurate position estimation while generally exhibiting low hardware requirements compared to Radio Frequency (RF)-based solutions. Furthermore, angular-based localization…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-19 Georg K. J. Fischer , Thomas Schaechtle , Moritz Schabinger , Alexander Richter , Ivo Häring , Fabian Höflinger , Stefan J. Rupitsch

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…

Atmospheric and Oceanic Physics · Physics 2014-10-29 Alexander Sazontov , Ivan Smirnov , Alexander Matveyev

This paper studies the spectral estimation problem of estimating the locations of a fixed number of point sources given multiple snapshots of Fourier measurements collected by a uniform array of sensors. We prove novel stability bounds for…

Information Theory · Computer Science 2022-10-12 Weilin Li , Zengying Zhu , Weiguo Gao , Wenjing Liao

Detecting where and when brain regions activate in a cognitive task or in a given clinical condition is the promise of non-invasive techniques like magnetoencephalography (MEG) or electroencephalography (EEG). This problem, referred to as…

Machine Learning · Statistics 2020-11-26 Jérôme-Alexis Chevalier , Alexandre Gramfort , Joseph Salmon , Bertrand Thirion

In this work we establish existence and multiplicity of solutions for elliptic problem with nonlinear boundary conditions under strong resonance conditions at infinity. The nonlinearity is resonance at infinity and the reso- nance phenomena…

Analysis of PDEs · Mathematics 2015-07-30 Alzaki Fadlallah , Edcarlos D. Da Silva

Autonomous robot networks are an effective tool for monitoring large-scale environmental fields. This paper proposes distributed control strategies for localizing the source of a noisy signal, which could represent a physical quantity of…

Multiagent Systems · Computer Science 2014-04-14 Nikolay A. Atanasov , Jerome Le Ny , George J. Pappas