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Fan and Lv (2008) proposed the path-breaking theory of sure independence screening (SIS) and an iterative algorithm (ISIS) to effectively reduce the predictor dimension for further variable selection approaches. Fan et al. (2009) extended…

Statistics Theory · Mathematics 2019-11-19 Ning Zhang , Wenxin Jiang , Yuting Lan

We introduce a new information maximization (infomax) approach for the blind source separation problem. The proposed framework provides an information-theoretic perspective for determinant maximization-based structured matrix factorization…

Information Theory · Computer Science 2022-05-03 Alper T. Erdogan

In this paper, we address a blind source separation (BSS) problem and propose a new extended framework of independent positive semidefinite tensor analysis (IPSDTA). IPSDTA is a state-of-the-art BSS method that enables us to take…

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

Obtaining the inverse of a large symmetric positive definite matrix $\mathcal{A}\in\mathbb{R}^{p\times p}$ is a continual challenge across many mathematical disciplines. The computational complexity associated with direct methods can be…

Numerical Analysis · Mathematics 2025-09-03 Ann Paterson , Jennifer Pestana , Victorita Dolean

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

We propose a new class of divergence measures for Independent Component Analysis (ICA) for the demixing of multiple source mixtures. We call it the Convex Cauchy-Schwarz Divergence (CCS-DIV), and it is formed by integrating convex functions…

Information Theory · Computer Science 2016-04-19 Zaid Albataineh , Fathi M. Salem

Independent component analysis (ICA) is a blind source separation method to recover source signals of interest from their mixtures. Most existing ICA procedures assume independent sampling. Second-order-statistics-based source separation…

Machine Learning · Statistics 2022-12-14 Seonjoo Lee , Haipeng Shen , Young K. Truong

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) estimates a demixing matrix that can recover statistically independent sources from linear mixtures. FastICA is a popular ICA algorithm due to its efficiency, but its performance strongly depends on a…

Signal Processing · Electrical Eng. & Systems 2026-04-27 David Watts , Jonathan H. Manton

Blind source separation (BSS) methods have been applied to deal with the lack of selectivity of ion-selective electrodes (ISE). In this paper, differently from the standard BSS solutions, which are based on the optimization of a…

Signal Processing · Electrical Eng. & Systems 2020-02-05 Guilherme Dean Pelegrina , Leonardo Tomazeli Duarte

Recently, an extension of independent component analysis (ICA) from one to multiple datasets, termed independent vector analysis (IVA), has been the subject of significant research interest. IVA has also been shown to be a generalization of…

Machine Learning · Computer Science 2016-08-11 Matthew Anderson , Geng-Shen Fu , Ronald Phlypo , Tülay Adalı

Independent component analysis (ICA) is a widespread data exploration technique, where observed signals are modeled as linear mixtures of independent components. From a machine learning point of view, it amounts to a matrix factorization…

Machine Learning · Statistics 2019-05-28 Pierre Ablin , Alexandre Gramfort , Jean-François Cardoso , Francis Bach

This manuscript proposes a novel robust procedure for the extraction of a speaker of interest (SOI) from a mixture of audio sources. The estimation of the SOI is performed via independent vector extraction (IVE). Since the blind IVE cannot…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-29 Jiri Malek , Jakub Jansky , Zbynek Koldovsky , Tomas Kounovsky , Jaroslav Cmejla , Jindrich Zdansky

Independent component selection (ICS), introduced by Tyler et al. (2009, JRSS B), is a powerful tool to find potentially interesting projections of multivariate data. In some cases, some of the projections proposed by ICS come close to…

Computation · Statistics 2022-04-27 Lutz Duembgen , Katrin Gysel , Fabrice Perler

In this work, we propose efficient algorithms for joint independent subspace analysis (JISA), an extension of independent component analysis that deals with parallel mixtures, where not all the components are independent. We derive an…

Signal Processing · Electrical Eng. & Systems 2020-04-09 Robin Scheibler , Nobutaka Ono

Independent component analysis (ICA), is a blind source separation method that is becoming increasingly used to separate brain and non-brain related activities in electroencephalographic (EEG) and other electrophysiological recordings. It…

Signal Processing · Electrical Eng. & Systems 2022-10-18 Gwenevere Frank , Scott Makeig , Arnaud Delorme

The Iterative Born Approximation (IBA) is a well-known method for describing waves scattered by semi-transparent objects. In this paper, we present a novel nonlinear inverse scattering method that combines IBA with an edge-preserving total…

Machine Learning · Computer Science 2016-08-24 Ulugbek S. Kamilov , Dehong Liu , Hassan Mansour , Petros T. Boufounos

A new algorithm for dynamic independent vector extraction is proposed. It is based on the mixing model where mixing parameters related to the source-of-interest (SOI) are time-variant while the separating parameters are time-invariant. A…

Signal Processing · Electrical Eng. & Systems 2021-03-02 Zbyněk Koldovský , Václav Kautský , Tomáš Kounovský , Jaroslav Čmejla

Independent low-rank matrix analysis (ILRMA) is the state-of-the-art algorithm for blind source separation (BSS) in the determined situation (the number of microphones is greater than or equal to that of source signals). ILRMA achieves a…

Sound · Computer Science 2020-12-30 Daichi Kitamura , Kohei Yatabe