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Blind source separation (BSS) aims to recover an unobserved signal $S$ from its mixture $X=f(S)$ under the condition that the effecting transformation $f$ is invertible but unknown. As this is a basic problem with many practical…

Statistics Theory · Mathematics 2023-03-20 Alexander Schell

Blind source separation (BSS) algorithms are unsupervised methods, which are the cornerstone of hyperspectral data analysis by allowing for physically meaningful data decompositions. BSS problems being ill-posed, the resolution requires…

Signal Processing · Electrical Eng. & Systems 2022-09-28 Rémi Carloni Gertosio , Jérôme Bobin , Fabio Acero

The task of blind source separation (BSS) involves separating sources from a mixture without prior knowledge of the sources or the mixing system. Single-channel mixtures and non-linear mixtures are a particularly challenging problem in BSS.…

Signal Processing · Electrical Eng. & Systems 2025-07-24 Matthew B. Webster , Joonnyong Lee

Blind single-channel source separation is a long standing signal processing challenge. Many methods were proposed to solve this task utilizing multiple signal priors such as low rank, sparsity, temporal continuity etc. The recent advance of…

Signal Processing · Electrical Eng. & Systems 2019-05-17 Yedid Hoshen

We consider two areas of research that have been developing in parallel over the last decade: blind source separation (BSS) and electromagnetic source estimation (ESE). BSS deals with the recovery of source signals when only mixtures of…

Data Analysis, Statistics and Probability · Physics 2015-01-22 Kevin H. Knuth , Herbert G. Vaughan

Blind source separation (BSS) techniques aims at joint estimation of source signals and a mixing matrix from observations of mixtures. This paper addresses a doubly nonstationary BSS problem, where the mixing matrix is time dependent and…

Signal Processing · Electrical Eng. & Systems 2019-06-25 Adrien Meynard

Blind source separation is a research hotspot in the field of signal processing because it aims to separate unknown source signals from observed mixtures through an unknown transmission channel. A low computational complexity instantaneous…

Signal Processing · Electrical Eng. & Systems 2019-03-08 Pengfei Xu , Yinjie Jia , Zhijian Wang

We address a nonstationary blind source separation (BSS) problem. The model includes both nonstationary sources and mixing. Therefore, we introduce an algorithm for joint BSS and estimation of stationarity-breaking deformations and spectra.…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Adrien Meynard

Blind Source Separation (BSS) is a challenging matrix factorization problem that plays a central role in multichannel imaging science. In a large number of applications, such as astrophysics, current unmixing methods are limited since…

Applications · Statistics 2017-11-22 Ming Jiang , Jérôme Bobin , Jean-Luc Starck

This work studies the problem of simultaneously separating and reconstructing signals from compressively sensed linear mixtures. We assume that all source signals share a common sparse representation basis. The approach combines classical…

Information Theory · Computer Science 2015-05-30 Martin Kleinsteuber , Hao Shen

Given a time series of multicomponent measurements x(t), the usual objective of nonlinear blind source separation (BSS) is to find a "source" time series s(t), comprised of statistically independent combinations of the measured components.…

Artificial Intelligence · Computer Science 2015-05-13 David N. Levin

Blind source separation, i.e. extraction of independent sources from a mixture, is an important problem for both artificial and natural signal processing. Here, we address a special case of this problem when sources (but not the mixing…

Neurons and Cognition · Quantitative Biology 2017-10-20 Cengiz Pehlevan , Sreyas Mohan , Dmitri B. Chklovskii

An important problem encountered by both natural and engineered signal processing systems is blind source separation. In many instances of the problem, the sources are bounded by their nature and known to be so, even though the particular…

Signal Processing · Electrical Eng. & Systems 2020-04-14 Alper T. Erdogan , Cengiz Pehlevan

Blind source separation (BSS) refers to the process of recovering multiple source signals from observations recorded by an array of sensors. Common approaches to BSS, including independent vector analysis (IVA), and independent low-rank…

Sound · Computer Science 2025-11-11 Jianyu Wang , Shanzheng Guan , Nicolas Dobigeon , Jingdong Chen

Blind signal separation (BSS) is an important and challenging signal processing task. Given an observed signal which is a superposition of a collection of unknown (hidden/latent) signals, BSS aims at recovering the separate, underlying…

Numerical Analysis · Mathematics 2024-06-25 Truman Hickok , Sriram Nagaraj

Blind source separation (BSS) aims at recovering signals from mixtures. This problem has been extensively studied in cases where the mixtures are contaminated with additive Gaussian noise. However, it is not well suited to describe data…

Machine Learning · Statistics 2018-12-12 I. El Hamzaoui , J. Bobin

The expansion of telecommunications incurs increasingly severe crosstalk and interference, and a physical layer cognitive method, called blind source separation (BSS), can effectively address these issues. BSS requires minimal prior…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Weipeng Zhang , Alexander Tait , Chaoran Huang , Thomas Ferreira de Lima , Simon Bilodeau , Eric Blow , Aashu Jha , Bhavin J. Shastri , Paul Prucnal

Over the last ten years blind source separation (BSS) has become a prominent processing tool in the study of human electroencephalography (EEG). Without relying on head modeling BSS aims at estimating both the waveform and the scalp spatial…

Numerical Analysis · Mathematics 2008-12-03 Marco Congedo , Cédric Gouy-Pailler , Christian Jutten

Source separation problems are ubiquitous in the physical sciences; any situation where signals are superimposed calls for source separation to estimate the original signals. In this tutorial I will discuss the Bayesian approach to the…

Machine Learning · Statistics 2013-11-14 Kevin H. Knuth

This work is concerned with the problem of blind source separation and its applications to imaging. We first establish a theoretical result that we stated in our previous article on imaging in diffusive environments. This result is a…

Numerical Analysis · Mathematics 2026-02-12 Randy Bartels , Olivier Pinaud
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