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Independent component analysis (ICA) is the most popular method for blind source separation (BSS) with a diverse set of applications, such as biomedical signal processing, video and image analysis, and communications. Maximum likelihood…

Machine Learning · Statistics 2016-10-25 Zois Boukouvalas , Rami Mowakeaa , Geng-Shen Fu , Tulay Adali

Linear principal component analysis (PCA) learns (semi-)orthogonal transformations by orienting the axes to maximize variance. Consequently, it can only identify orthogonal axes whose variances are clearly distinct, but it cannot identify…

Machine Learning · Computer Science 2024-07-02 Fahdi Kanavati , Lucy Katsnith , Masayuki Tsuneki

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

We deal with a model where a set of observations is obtained by a linear superposition of unknown components called sources. The problem consists in recovering the sources without knowing the linear transform. We extend the well-known…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Marc Castella

Blind source separation (BSS) is a very popular technique to analyze multichannel data. In this context, the data are modeled as the linear combination of sources to be retrieved. For that purpose, standard BSS methods all rely on some…

Applications · Statistics 2015-06-23 Jerome Bobin , Jeremy Rapin , Anthony Larue , Jean-Luc Starck

Independent component analysis (ICA) is a powerful method for blind source separation based on the assumption that sources are statistically independent. Though ICA has proven useful and has been employed in many applications, complete…

Machine Learning · Statistics 2016-10-21 Zois Boukouvalas , Yuri Levin-Schwartz , Tulay Adali

Blind source separation (BSS), particularly independent component analysis (ICA), has been widely used in various fields of science such as biomedical signal processing to recover latent source signals from the observed mixture. While ICA…

Methodology · Statistics 2026-01-14 Miro Arvila , Klaus Nordhausen , Mika Sipilä , Sara Taskinen

In Blind Source Separation (BSS), one estimates sources from data mixtures where the mixing coefficients are unknown. In the particular case of Sparse Component Analysis (SCA), each underlying source exists for only a finite amount of time…

Signal Processing · Electrical Eng. & Systems 2022-08-18 Malcolm Woolfson

We present a new high performance Convex Cauchy Schwarz Divergence (CCS DIV) measure for Independent Component Analysis (ICA) and Blind Source Separation (BSS). The CCS DIV measure is developed by integrating convex functions into the…

Information Theory · Computer Science 2014-08-04 Zaid Albataineh , Fathi M. Salem

We make use of a large set of fast simulations of an intensity mapping experiment with characteristics similar to those expected of the Square Kilometre Array (SKA) in order to study the viability and limits of blind foreground subtraction…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 David Alonso , Philip Bull , Pedro G. Ferreira , Mario G. Santos

This letter proposes a new blind source separation (BSS) framework termed minimum variance independent component analysis (MVICA), which can potentially achieve the maximum output signal-to-interference ratio (SIR) while also allowing more…

Sound · Computer Science 2022-03-09 Jianju Gu , Longbiao Cheng , Dingding Yao , Junfeng Li , Yonghong Yan

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

In many daily-life scenarios, acoustic sources recorded in an enclosure can only be observed with other interfering sources. Hence, convolutive Blind Source Separation (BSS) is a central problem in audio signal processing. Methods based on…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-12 Andreas Brendel , Thomas Haubner , Walter Kellermann

We propose a new algorithm for blind source separation (BSS) using independent vector analysis (IVA). This is an improvement over the popular auxiliary function based IVA (AuxIVA) with iterative projection (IP) or iterative source steering…

Signal Processing · Electrical Eng. & Systems 2021-05-20 Robin Scheibler

Independent Component Analysis (ICA) is a popular model for blind signal separation. The ICA model assumes that a number of independent source signals are linearly mixed to form the observed signals. We propose a new algorithm, PEGI (for…

Machine Learning · Computer Science 2015-10-02 James Voss , Mikhail Belkin , Luis Rademacher

Background: Independent Component Analysis (ICA) is a widespread tool for exploration and denoising of electroencephalography (EEG) or magnetoencephalography (MEG) signals. In its most common formulation, ICA assumes that the signal matrix…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

We consider the problem of recovering a common latent source with independent components from multiple views. This applies to settings in which a variable is measured with multiple experimental modalities, and where the goal is to…

Machine Learning · Statistics 2019-08-02 Luigi Gresele , Paul K. Rubenstein , Arash Mehrjou , Francesco Locatello , Bernhard Schölkopf

We study the classical problem of recovering a multidimensional source signal from observations of nonlinear mixtures of this signal. We show that this recovery is possible (up to a permutation and monotone scaling of the source's original…

Machine Learning · Statistics 2023-01-18 Alexander Schell , Harald Oberhauser

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

A novel extension of Independent Component and Independent Vector Analysis for blind extraction/separation of one or several sources from time-varying mixtures is proposed. The mixtures are assumed to be separable source-by-source in series…

Signal Processing · Electrical Eng. & Systems 2021-05-12 Zbyněk Koldovský , Václav Kautský , Petr Tichavský