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Sparsity and rank functions are important ways of regularizing under-determined linear systems. Optimization of the resulting formulations is made difficult since both these penalties are non-convex and discontinuous. The most common remedy…

Optimization and Control · Mathematics 2019-01-01 Carl Olsson , Marcus Carlsson , Daniele Gerosa

Purpose: Localizing the sources of electrical activity from electroencephalographic (EEG) data has gained considerable attention over the last few years. In this paper, we propose an innovative source localization method for EEG, based on…

Quantitative Methods · Quantitative Biology 2015-01-21 Sajib Saha , Frank de Hoog , Ya. I. Nesterets , Rajib Rana , M. Tahtali , T. E. Gureyev

Computing polarised intensities from noisy data in Stokes U and Q suffers from a positive bias that should be suppressed. To develop a correction method that, when applied to maps, should provide a distribution of polarised intensity that…

Instrumentation and Methods for Astrophysics · Physics 2017-04-05 Peter Müller , Rainer Beck , Marita Krause

This paper introduces a Bayesian framework to detect multiple signals embedded in noisy observations from a sensor array. For various states of knowledge on the communication channel and the noise at the receiving sensors, a marginalization…

Information Theory · Computer Science 2009-09-08 Romain Couillet , Merouane Debbah

In this work, we tackle the problem of domain generalization for object detection, specifically focusing on the scenario where only a single source domain is available. We propose an effective approach that involves two key steps:…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Muhammad Sohail Danish , Muhammad Haris Khan , Muhammad Akhtar Munir , M. Saquib Sarfraz , Mohsen Ali

This work proposes a learning-based statistical refinement method for improving the denoising results of a given denoiser without knowing the precise noise distribution or accessing clean images or calibration data. While there are many…

Machine Learning · Computer Science 2026-05-07 Rihuan Ke

This paper addresses the challenges of optimally placing a finite number of sensors to detect Poisson-distributed targets in a bounded domain. We seek to rigorously account for uncertainty in the target arrival model throughout the problem.…

Robotics · Computer Science 2023-07-11 Mingyu Kim , Harun Yetkin , Daniel J. Stilwell , Jorge Jimenez , Saurav Shrestha , Nina Stark

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

Scientists use imaging to identify objects of interest and infer properties of these objects. The locations of these objects are often measured with error, which when ignored leads to biased parameter estimates and inflated variance.…

We propose an extended framework for marginalized domain adaptation, aimed at addressing unsupervised, supervised and semi-supervised scenarios. We argue that the denoising principle should be extended to explicitly promote domain-invariant…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Gabriela Csurka , Boris Chidlovski , Stephane Clinchant , Sophia Michel

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

Visual sound source localization is a fundamental perception task that aims to detect the location of sounding sources in a video given its audio. Despite recent progress, we identify two shortcomings in current methods: 1) most approaches…

Computer Vision and Pattern Recognition · Computer Science 2025-09-01 Xavier Juanola , Giovana Morais , Magdalena Fuentes , Gloria Haro

Spectral methods are popular in detecting global structures in the given data that can be represented as a matrix. However when the data matrix is sparse or noisy, classic spectral methods usually fail to work, due to localization of…

Machine Learning · Statistics 2016-09-12 Pan Zhang

Using the measurements collected at a number of known locations by a moving binary sensor, characterised by an unknown threshold, the problem is to estimate the parameters of a biochemical source, continuously releasing material into the…

Applications · Statistics 2016-08-24 Branko Ristic , Ajith Gunatilaka , Ralph Gailis

Signal localization is a spectrum sensing problem that jointly detects the presence of a signal and estimates a center frequency and bandwidth. This is a step beyond most spectrum sensing work which estimates "present" or "not present"…

Signal Processing · Electrical Eng. & Systems 2021-10-05 Nathan West , Tamoghna Roy , Timothy O'Shea

We develop a framework for localized source detection in dynamical systems governed by nonlinear partial differential equations based on first and second-order sensitivity analysis. Building on the standard adjoint formulation, which…

Fluid Dynamics · Physics 2026-05-18 Qi Wang , Zejian You

Automated particle locating algorithms have revolutionized microscopy image analysis, enabling researchers to rapidly locate many particles to within a few pixels in a microscope image. The vast majority of these algorithms operate through…

Soft Condensed Matter · Physics 2018-03-13 Brian D. Leahy , Matthew Bierbaum , James Sethna , Itai Cohen

This paper introduces a novel method for solving the single-source localization problem, specifically addressing the case of trilateration. We formulate the problem as a weighted least-squares problem in the squared distances and…

Optimization and Control · Mathematics 2025-02-26 Martin Larsson , Viktor Larsson , Kalle Åström , Magnus Oskarsson

We consider the problem of localization of Poisson source by the observations of inhomogeneous Poisson processes. We suppose that there are $k$ detectors on the plane and each detector provides the observations of Poisson processes whose…

Statistics Theory · Mathematics 2018-06-19 Oleg V. Chernoyarov , Yury A. Kutoyants

High precision polarization measurements open new opportunities for the study of the magnetic field structure as traced by polarimetric measurements of the interstellar dust emission. Polarization parameters suffer from bias in the presence…

Astrophysics of Galaxies · Physics 2017-03-15 D. Alina , L. Montier , I. Ristorcelli , J. -P. Bernard , F. Levrier , E. Abdikamalov