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Blind source separation (BSS) techniques have revealed to be promising approaches for, among other, biomedical signal processing applications. Specifically, for the noninvasive extraction of fetal cardiac signals from maternal abdominal…

We provide a new methodology for statistical recovery of single linear mixtures of piecewise constant signals (sources) with unknown mixing weights and change points in a multiscale fashion. We show exact recovery within an…

Methodology · Statistics 2017-08-31 Merle Behr , Chris Holmes , Axel Munk

In this contribution, we present new algorithms to source separation for the case of noisy instantaneous linear mixture, within the Bayesian statistical framework. The source distribution prior is modeled by a mixture of Gaussians…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Hichem Snoussi , Ali Mohammad-Djafari

We consider Bayesian optimization of an expensive-to-evaluate black-box objective function, where we also have access to cheaper approximations of the objective. In general, such approximations arise in applications such as reinforcement…

Machine Learning · Statistics 2016-11-16 Matthias Poloczek , Jialei Wang , Peter I. Frazier

This paper considers the problem of localising a stationary signal source using a team of mobile agents which only take binary measurements. Background false detection rates and missed detection probabilities are incorporated into the…

Signal Processing · Electrical Eng. & Systems 2018-09-13 Daniel D. Selvaratnam , Iman Shames , Jonathan H. Manton , Branko Ristic

This paper addresses the challenge of joint communication and sensing (JCAS) in next-generation wireless networks, with an emphasis on in-band full-duplex (IBFD) multiple-input multiple-output (MIMO) systems. Traditionally,…

Emerging Technologies · Computer Science 2025-08-29 Siyao Li , Conrad Prisby , Thomas Yang

Blind Compressed Sensing (BCS) is an extension of Compressed Sensing (CS) where the optimal sparsifying dictionary is assumed to be unknown and subject to estimation (in addition to the CS sparse coefficients). Since the emergence of BCS,…

Information Theory · Computer Science 2015-08-11 Mohammad Aghagolzadeh , Hayder Radha

Extraction of latent sources of complex stimuli is critical for making sense of the world. While the brain solves this blind source separation (BSS) problem continuously, its algorithms remain unknown. Previous work on…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Bariscan Bozkurt , Cengiz Pehlevan , Alper T. Erdogan

This paper employs a recently developed asymptotic Bayesian multi-hypothesis testing (MHT) error analysis to treat the problem of superresolution imaging of a pair of closely spaced, equally bright point sources. The analysis exploits the…

Optics · Physics 2015-06-19 Sudhakar Prasad

Given a time series of multicomponent measurements of an evolving stimulus, nonlinear blind source separation (BSS) seeks to find a "source" time series, comprised of statistically independent combinations of the measured components. In…

Machine Learning · Computer Science 2009-11-11 David N. Levin

This paper addresses the problem of identifying a lower dimensional space where observed data can be sparsely represented. This under-complete dictionary learning task can be formulated as a blind separation problem of sparse sources…

Methodology · Statistics 2010-08-30 Nicolas Dobigeon , Jean-Yves Tourneret

This paper addresses the problem of blind demixing of instantaneous mixtures in a multiple-input multiple-output communication system. The main objective is to present efficient blind source separation (BSS) algorithms dedicated to moderate…

Information Theory · Computer Science 2016-06-30 Syed A. W. Shah , Karim Abed-Meraim , Tareq Y. Al-Naffouri

A probabilistic technique for the joint estimation of background and sources with the aim of detecting faint and extended celestial objects is described. Bayesian probability theory is applied to gain insight into the coexistence of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 F. Guglielmetti , R. Fischer , V. Dose

Recently, end-to-end speaker extraction has attracted increasing attention and shown promising results. However, its performance is often inferior to that of a blind source separation (BSS) counterpart with a similar network architecture,…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-05 Zifeng Zhao , Dongchao Yang , Rongzhi Gu , Haoran Zhang , Yuexian Zou

Multichannel blind source separation (MBSS), which focuses on separating signals of interest from mixed observations, has been extensively studied in acoustic and speech processing. Existing MBSS algorithms, such as independent low-rank…

Sound · Computer Science 2025-04-08 Jianyu Wang , Shanzheng Guan , Zhengqiao Zhao , Nicolas Dobigeon , Jingdong Chen

We investigate the information processing of a linear mixture of independent sources of different magnitudes. In particular we consider the case where a number $m$ of the sources can be considered as ``strong'' as compared to the other…

Statistical Mechanics · Physics 2007-05-23 J. -P. Nadal , E. Korutcheva , F. Aires

A blind source separation method is described to extract sources from data mixtures where the underlying sources are assumed to be sparse and uncorrelated. The approach used is to detect and analyse segments of time where one source exists…

Signal Processing · Electrical Eng. & Systems 2018-02-06 Malcolm Woolfson

Sparse Bayesian learning (SBL) is a popular approach to sparse signal recovery in compressed sensing (CS). In SBL, the signal sparsity information is exploited by assuming a sparsity-inducing prior for the signal that is then estimated…

Information Theory · Computer Science 2012-09-03 Zai Yang , Lihua Xie , Cishen Zhang

Recent advances in neural interfacing have enabled significant improvements in human-computer interaction, rehabilitation, and neuromuscular diagnostics. Motor unit (MU) decomposition from surface electromyography (sEMG) is a key technique…

Neurons and Cognition · Quantitative Biology 2025-10-22 D. Halatsis , P. Mamidanna , J. Pereira , D. Farina

Blind inverse problems arise in many experimental settings where both the signal of interest and the forward operator are (partially) unknown. In this context, methods developed for the non-blind case cannot be adapted in a straightforward…

Machine Learning · Computer Science 2026-04-21 Nathan Buskulic , Luca Calatroni , Lorenzo Rosasco , Silvia Villa
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