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Independent Component Analysis (ICA) - one of the basic tools in data analysis - aims to find a coordinate system in which the components of the data are independent. Most of existing methods are based on the minimization of the function of…

Statistics Theory · Mathematics 2017-02-01 Przemysław Spurek , Jacek Tabor , Przemysław Rola , Michał Ociepka

In recent years, Independent Component Analysis (ICA) has successfully been applied to remove noise and artifacts in images obtained from Three-dimensional Polarized Light Imaging (3D-PLI) at the mesoscale (i.e., 64 $\mu$m). Here, we…

Medical Physics · Physics 2020-12-01 Kai Benning , Miriam Menzel , Jan Reuter , Markus Axer

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

We introduce coroICA, confounding-robust independent component analysis, a novel ICA algorithm which decomposes linearly mixed multivariate observations into independent components that are corrupted (and rendered dependent) by hidden…

Machine Learning · Statistics 2019-10-31 Niklas Pfister , Sebastian Weichwald , Peter Bühlmann , Bernhard Schölkopf

Independent Component Analysis (ICA) is a classical method for recovering latent variables with useful identifiability properties. For independent variables, cumulant tensors are diagonal; relaxing independence yields tensors whose zero…

Statistics Theory · Mathematics 2025-10-10 Alvaro Ribot , Anna Seigal , Piotr Zwiernik

This paper is an attempt to separate cardiac and respiratory signals from an electrical bio-impedance (EBI) dataset. For this two well-known algorithms, namely Principal Component Analysis (PCA) and Independent Component Analysis (ICA),…

Applications · Statistics 2013-07-04 Yar M. Mughal , A. Krivoshei , P. Annus

Fast Independent Component Analysis (FastICA) is a component separation algorithm based on the levels of non-Gaussianity. Here we apply the FastICA to the component separation problem of the microwave background including carbon monoxide…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Kiyotomo Ichiki , Ryohei Kaji , Hiroaki Yamamoto , Tsutomu T. Takeuchi , Yasuo Fukui

Blind source separation algorithms such as independent component analysis (ICA) are widely used in the analysis of neuroimaging data. In order to leverage larger sample sizes, different data holders/sites may wish to collaboratively learn…

A framework named Copula Component Analysis (CCA) for blind source separation is proposed as a generalization of Independent Component Analysis (ICA). It differs from ICA which assumes independence of sources that the underlying components…

Information Retrieval · Computer Science 2007-05-23 Jian Ma , Zengqi Sun

Independent Component Analysis (ICA) is an algorithm originally developed for finding separate sources in a mixed signal, such as a recording of multiple people in the same room speaking at the same time. Unlike Principal Component Analysis…

Computation and Language · Computer Science 2024-09-05 Tomáš Musil , David Mareček

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

Independent component analysis (ICA) is a widely used BSS method that can uniquely achieve source recovery, subject to only scaling and permutation ambiguities, through the assumption of statistical independence on the part of the latent…

Machine Learning · Statistics 2018-01-29 Zois Boukouvalas

Independent Component Analysis (ICA) has recently been shown to be a promising new path in data analysis and de-trending of exoplanetary time series signals. Such approaches do not require or assume any prior or auxiliary knowledge on the…

Earth and Planetary Astrophysics · Physics 2015-06-15 I. P. Waldmann

Advances in computational cognitive neuroimaging research are related to the availability of large amounts of labeled brain imaging data, but such data are scarce and expensive to generate. While powerful data generation mechanisms, such as…

Image and Video Processing · Electrical Eng. & Systems 2021-07-15 Badr Tajini , Hugo Richard , Bertrand Thirion

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

Independent component analysis (ICA) has often been used as a tool to model natural image statistics by separating multivariate signals in the image into components that are assumed to be independent. However, these estimated components…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Zhimin Chen , Darius Parvin , Maedbh King , Susan Hao

Independent Component Analysis (ICA) is a computational technique for revealing latent factors that underlie sets of measurements or signals. It has become a standard technique in functional neuroimaging. In functional neuroimaging, so…

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

In this paper, we investigate the optimal statistical performance and the impact of computational constraints for independent component analysis (ICA). Our goal is twofold. On the one hand, we characterize the precise role of dimensionality…

Statistics Theory · Mathematics 2023-04-03 Arnab Auddy , Ming Yuan

Spatial Independent Component Analysis (ICA) is an increasingly used data-driven method to analyze functional Magnetic Resonance Imaging (fMRI) data. To date, it has been used to extract meaningful patterns without prior information.…

Computer Vision and Pattern Recognition · Computer Science 2009-11-25 Gaël Varoquaux , Sepideh Sadaghiani , Jean Baptiste Poline , Bertrand Thirion