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In this paper, the multiple-source ellipsoidal localization problem based on acoustic energy measurements is investigated via set-membership estimation theory. When the probability density function of measurement noise is…

Information Theory · Computer Science 2019-11-19 Fanqin Meng , Xiaojing Shen , Zhiguo Wang , Haiqi Liu , Junfeng Wang , Yunmin Zhu , Pramod K. Varshney

Visual events are usually accompanied by sounds in our daily lives. However, can the machines learn to correlate the visual scene and sound, as well as localize the sound source only by observing them like humans? To investigate its…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Arda Senocak , Tae-Hyun Oh , Junsik Kim , Ming-Hsuan Yang , In So Kweon

This work is dedicated to a novel sampling method for accurately reconstructing elastic and electromagnetic sources from the far field patterns. We show that the proposed indicators in the form of integrals with full far field patterns are…

Numerical Analysis · Mathematics 2025-03-11 Xiaodong Liu , Qingxiang Shi

We propose a method for sensor array self-localization using a set of sources at unknown locations. The sources produce signals whose times of arrival are registered at the sensors. We look at the general case where neither the emission…

Signal Processing · Electrical Eng. & Systems 2023-04-04 Dalia El Badawy , Viktor Larsson , Marc Pollefeys , Ivan Dokmanić

In this work, we propose an easy-to-implement fixed-point algorithm for reconstructing a space-time dependent source in a subdiffusion model from lateral boundary measurements. The numerical scheme combines a Galerkin finite element method…

Numerical Analysis · Mathematics 2026-05-08 Siyu Cen , Bangti Jin , Yavar Kian , Zhi Zhou

Quantum correlations in networks with independent sources have revealed novel forms of nonclassical behavior. While entanglement in the sources is a necessary ingredient, the role played by entanglement in the measurements remains largely…

The inverse problem of recovering point sources represents an important class of applied inverse problems. However, there is still a lack of neural network-based methods for point source identification, mainly due to the inherent solution…

Numerical Analysis · Mathematics 2024-08-20 Tianhao Hu , Bangti Jin , Zhi Zhou

We study the state estimation problem for linear control systems with quadratic outputs which are locally unobservable at the equilibrium. We show that, despite this inherent lack of observability, an adversary with sensor read and write…

Optimization and Control · Mathematics 2026-05-11 Zeyad M. Manaa , Nathan van de Wouw , Michelle S. Chong

Using measure theoretic arguments, we provide a general framework for describing and studying the general linear inverse dispersion problem where no a priori assumptions on the source function has been made. We investigate the source-sensor…

Atmospheric and Oceanic Physics · Physics 2014-09-18 Niklas Brännström , Leif Å Persson

This paper introduces a novel framework for optimizing observer-based soft sensors through dynamic causality analysis. Traditional approaches to sensor selection often rely on linearized observability indices or statistical correlations…

Artificial Intelligence · Computer Science 2025-09-16 William Farlessyost , Sebastian Oberst , Shweta Singh

We present novel solutions to the problem of direct localization of multiple narrow-band and arbitrarily correlated sources by partly calibrated arrays, i.e., arrays composed of fully calibrated sub-arrays yet lacking inter-array…

Signal Processing · Electrical Eng. & Systems 2018-07-27 Amir Adler , Mati Wax

Sensor placement for linear inverse problems is the selection of locations to assign sensors so that the entire physical signal can be well recovered from partial observations. In this paper, we propose a fast sampling algorithm to place…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Fen Wang , Gene Cheung , Taihao Li , Ying Du , Yu-Ping Ruan

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

Without imposing prior distributional knowledge underlying multivariate time series of interest, we propose a nonparametric change-point detection approach to estimate the number of change points and their locations along the temporal axis.…

Methodology · Statistics 2021-05-13 Xiaodong Wang , Fushing Hsieh

This paper presents a solution for multi source localization using only angle of arrival measurements. The receiver platform is in motion, while the sources are assumed to be stationary. Although numerous methods exist for single source…

Signal Processing · Electrical Eng. & Systems 2025-06-13 Mustafa Atahan Nuhoglu , Hakan Ali Cirpan

We consider the problem of minimizing the sum of a convex function and a convex function composed with an injective linear mapping. For such problems, subject to a coercivity condition at fixed points of the corresponding Picard iteration,…

Optimization and Control · Mathematics 2018-02-07 Timo Aspelmeier , C. Charitha , D. Russell Luke

This letter describes a method for estimating regions of attraction and bounds on permissible perturbation amplitudes in nonlinear fluids systems. The proposed approach exploits quadratic constraints between the inputs and outputs of the…

Fluid Dynamics · Physics 2021-05-18 Aniketh Kalur , Talha Mushtaq , Peter Seiler , Maziar S. Hemati

A double-correlation method is introduced to locate tremor sources based on stacks of complex, doubly-correlated tremor records of multiple triplets of seismographs back projected to hypothetical source locations in a geographic grid. Peaks…

We demonstrate the synthesis of sparse sampling and machine learning to characterize and model complex, nonlinear dynamical systems over a range of bifurcation parameters. First, we construct modal libraries using the classical proper…

Pattern Formation and Solitons · Physics 2015-10-28 Syuzanna Sargsyan , Steven L. Brunton , J. Nathan Kutz

In this paper, the problem of target localization in the presence of outlying sensors is tackled. This problem is important in practice because in many real-world applications the sensors might report irrelevant data unintentionally or…

Optimization and Control · Mathematics 2018-02-15 Alireza Zaeemzadeh , Mohsen Joneidi , Behzad Shahrasbi , Nazanin Rahnavard