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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

Blind source separation, particularly through independent component analysis (ICA), is widely utilized across various signal processing domains for disentangling underlying components from observed mixed signals, owing to its fully…

Methodology · Statistics 2026-01-06 Qiang Li , Shujian Yu , Liang Ma , Chen Ma , Jingyu Liu , Tulay Adali , Vince D. Calhoun

We consider independent component analysis of binary data. While fundamental in practice, this case has been much less developed than ICA for continuous data. We start by assuming a linear mixing model in a continuous-valued latent space,…

Machine Learning · Computer Science 2022-08-03 Antti Hyttinen , Vitória Barin-Pacela , Aapo Hyvärinen

Reliable measures of statistical dependence could be useful tools for learning independent features and performing tasks like source separation using Independent Component Analysis (ICA). Unfortunately, many of such measures, like the…

Machine Learning · Statistics 2017-10-17 Philemon Brakel , Yoshua Bengio

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

Independent component analysis (ICA) is popular in many applications, including cognitive neuroscience and signal processing. Due to computational constraints, principal component analysis is used for dimension reduction prior to ICA…

Methodology · Statistics 2017-10-03 Benjamin B. Risk , David S. Matteson , David Ruppert

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

Independent component analysis is an unsupervised learning approach for computing the independent components (ICs) from the multivariate signals or data matrix. The ICs are evaluated based on the multiplication of the weight matrix with the…

Independent Component Analysis (ICA) aims to recover independent latent variables from observed mixtures thereof. Causal Representation Learning (CRL) aims instead to infer causally related (thus often statistically dependent) latent…

Group studies involving large cohorts of subjects are important to draw general conclusions about brain functional organization. However, the aggregation of data coming from multiple subjects is challenging, since it requires accounting for…

Machine Learning · Statistics 2020-12-25 Hugo Richard , Luigi Gresele , Aapo Hyvärinen , Bertrand Thirion , Alexandre Gramfort , Pierre Ablin

For many years, a combination of principal component analysis (PCA) and independent component analysis (ICA) has been used for blind source separation (BSS). However, it remains unclear why these linear methods work well with real-world…

Machine Learning · Statistics 2020-12-15 Takuya Isomura , Taro Toyoizumi

Independent component analysis (ICA) is linked up with the problem of estimating a non linear functional of a density, for which optimal estimators are well known. The precision of ICA is analyzed from the viewpoint of functional spaces in…

Statistics Theory · Mathematics 2007-06-13 Pascal Barbedor

Independent component analysis provides a principled framework for unsupervised representation learning, with solid theory on the identifiability of the latent code that generated the data, given only observations of mixtures thereof.…

Machine Learning · Statistics 2022-02-10 Luigi Gresele , Julius von Kügelgen , Vincent Stimper , Bernhard Schölkopf , Michel Besserve

Marine controlled source electromagnetic (CSEM) sensing method used for the detection of hydrocarbons based reservoirs in seabed logging application does not perform well due to the presence of the airwaves (or sea-surface). These airwaves…

Other Computer Science · Computer Science 2013-03-12 Adeel Ansari , Afza Bt Shafie , Abas B Md Said , Seema Ansari

Independent component analysis (ICA) is the problem of efficiently recovering a matrix $A \in \mathbb{R}^{n\times n}$ from i.i.d. observations of $X=AS$ where $S \in \mathbb{R}^n$ is a random vector with mutually independent coordinates.…

Machine Learning · Computer Science 2015-09-03 Joseph Anderson , Navin Goyal , Anupama Nandi , Luis Rademacher

Independent Component Analysis (ICA) aims to find a coordinate system in which the components of the data are independent. In this paper we construct a new nonlinear ICA model, called WICA, which obtains better and more stable results than…

Machine Learning · Computer Science 2020-12-11 Andrzej Bedychaj , Przemysław Spurek , Aleksandra Nowak , Jacek Tabor

Independent component analysis (ICA) decomposes multivariate data into mutually independent components (ICs). The ICA model is subject to a constraint that at most one of these components is Gaussian, which is required for model…

Methodology · Statistics 2018-05-18 Ze Jin , Benjamin B. Risk , David S. Matteson

In this work, we explore Partitioned Independent Component Analysis (PICA), an extension of the well-established Independent Component Analysis (ICA) framework. Traditionally, ICA focuses on extracting a vector of independent source signals…

Statistics Theory · Mathematics 2024-02-16 Marina Garrote-López , Monroe Stephenson

Part I describes an intelligent acoustic emission locator, while Part II discusses blind source separation, time delay estimation and location of two continuous acoustic emission sources. Acoustic emission (AE) analysis is used for…

Neural and Evolutionary Computing · Computer Science 2007-05-23 T. Kosel , I. Grabec

Independent Component Analysis (ICA) uses a measure of non-Gaussianity to identify latent sources from data and estimate their mixing coefficients (Shimizu et al., 2006). Meanwhile, higher-order Orthogonal Machine Learning (OML) exploits…

Machine Learning · Statistics 2026-03-02 Patrik Reizinger , Lester Mackey , Wieland Brendel , Rahul Krishnan