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The purpose of this note is to show how the method of maximum entropy in the mean (MEM) may be used to improve parametric estimation when the measurements are corrupted by large level of noise. The method is developed in the context on a…

Machine Learning · Computer Science 2021-08-23 Henryk Gzyl , Enrique ter Horst

An experiment to study the entropy method for an anomaly detection system has been performed. The study has been conducted using real data generated from the distributed sensor networks at the Intel Berkeley Research Laboratory. The…

Cryptography and Security · Computer Science 2017-03-14 A. A. Waskita , H. Suhartanto , L. T. Handoko

Accurately and efficiently addressing the multiple source localization (MSL) problem in urban environments, particularly designing a general method adaptable to an arbitrary number of sources, plays a crucial role in various fields such as…

Signal Processing · Electrical Eng. & Systems 2025-12-19 Qilu Zhang , Hongying Tang , Wen Chen , Ziyi Song , Jiang Wang

Multi-source localization is an important and challenging technique for multi-talker conversation analysis. This paper proposes a novel supervised learning method using deep neural networks to estimate the direction of arrival (DOA) of all…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-30 Aswin Shanmugam Subramanian , Chao Weng , Shinji Watanabe , Meng Yu , Dong Yu

Ellipse and ellipsoid fitting has been extensively researched and widely applied. Although traditional fitting methods provide accurate estimation of ellipse parameters in the low-noise case, their performance is compromised when the noise…

Methodology · Statistics 2009-12-10 Jieqi Yu , Sanjeev R. Kulkarni , H. Vincent Poor

We consider the problem of localizing the source using range and range-difference measurements. Both the problems are non-convex and non-smooth and are challenging to solve. In this paper, we develop an iterative algorithm - Source…

Signal Processing · Electrical Eng. & Systems 2020-02-10 R. Jyothi , P. Babu

This contribution proposes a recursive set-membership method for the ellipsoidal state characterization for discrete-time linear time-varying models with additive unknown disturbances vectors, bounded by possibly degenerate zonotopes and…

Systems and Control · Electrical Eng. & Systems 2023-09-15 Yasmina Becis-Aubry

Most studies that consider the problem of estimating the location of a point source in wireless sensor networks assume that the source location is estimated by a set of spatially distributed sensors, whose locations are fixed. Motivated by…

Information Theory · Computer Science 2016-11-18 Mohammad Fanaei , Matthew C. Valenti , Natalia A. Schmid

Elliptically symmetric distributions are a classic example of a semiparametric model where the location vector and the scatter matrix (or a parameterization of them) are the two finite-dimensional parameters of interest, while the density…

Statistics Theory · Mathematics 2026-03-18 Stefano Fortunati , Jean-Pierre Delmas , Esa Ollila

In this paper, we propose novel deep learning based algorithms for multiple sound source localization. Specifically, we aim to find the 2D Cartesian coordinates of multiple sound sources in an enclosed environment by using multiple…

Audio and Speech Processing · Electrical Eng. & Systems 2020-12-11 Guillaume Le Moing , Phongtharin Vinayavekhin , Tadanobu Inoue , Jayakorn Vongkulbhisal , Asim Munawar , Ryuki Tachibana , Don Joven Agravante

In this paper, the problem of determining the number of signal sources impinging on an array of sensors and estimating their directions-of-arrival (DOAs) in the presence of spatially white nonuniform noise is considered. It is known that,…

Signal Processing · Electrical Eng. & Systems 2021-09-10 Mahmood Karimi

We consider a semilinear elliptic equation with a nonsmooth, locally \hbox{Lipschitz} potential function (hemivariational inequality). Our hypotheses permit double resonance at infinity and at zero (double-double resonance situation). Our…

Analysis of PDEs · Mathematics 2007-05-23 Leszek Gasi'nski , Dumitru Motreanu , Nikolaos S Papageorgiou

We consider the sound ranging, or source localization, problem --- find the unknown source-point from known moments when the spherical wave of linearly, with time, increasing radius reaches known sensor-points --- in some non-proper metric…

Functional Analysis · Mathematics 2019-11-01 Sergij V. Goncharov

There is a wide range of applications where the local extrema of a function are the key quantity of interest. However, there is surprisingly little work on methods to infer local extrema with uncertainty quantification in the presence of…

Methodology · Statistics 2023-09-28 Meng Li , Zejian Liu , Cheng-Han Yu , Marina Vannucci

We explore the possibility for using boundary data to identify sources in elliptic PDEs. Even though the associated forward operator has a large null space, it turns out that box constraints, combined with weighted sparsity regularization,…

Numerical Analysis · Mathematics 2023-03-06 Ole Løseth Elvetun , Bjørn Fredrik Nielsen

This article studies the effects of inter-channel time and level differences in stereophonic reproduction on perceived localization uncertainty, which is defined as how difficult it is for a listener to tell where a sound source is located.…

Audio and Speech Processing · Electrical Eng. & Systems 2020-09-08 Enzo De Sena , Zoran Cvetkovic , Huseyin Hacihabiboglu , Marc Moonen , Toon van Waterschoot

This paper concerns the inverse source problems for the time-harmonic elastic and electromagnetic wave equations. The goal is to determine the external force and the electric current density from boundary measurements of the radiated wave…

Analysis of PDEs · Mathematics 2018-08-17 Gang Bao , Peijun Li , Yue Zhao

This paper considers the state estimation problem for nonlinear dynamic systems with unknown but bounded noises. Set membership filter (SMF) is a popular algorithm to solve this problem. In the set membership setting, we investigate the…

Optimization and Control · Mathematics 2022-11-10 Xiaowei Li , Xuqi Zhang , Zhiguo Wang , Xiaojing Shen

This manuscript is a preliminary pre-print version of a journal submission by the authors, revisiting the problem of range measurement based localization of a signal source or a sensor. The major geometric difficulty of the problem comes…

Optimization and Control · Mathematics 2013-10-29 Baris Fidan , Fatma Kiraz

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