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Independent component analysis (ICA) is a powerful tool for decomposing a multivariate signal or distribution into fully independent sources, not just uncorrelated ones. Unfortunately, most approaches to ICA are not robust against outliers.…

Computation · Statistics 2025-05-15 Sarah Leyder , Jakob Raymaekers , Peter J. Rousseeuw , Tom Van Deuren , Tim Verdonck

Independent component analysis (ICA) is a method for recovering statistically independent signals from observations of unknown linear combinations of the sources. Some of the most accurate ICA decomposition methods require searching for the…

Machine Learning · Statistics 2016-09-23 Matan Sela , Ron Kimmel

Independent component analysis (ICA) is a fundamental data processing technique to decompose the captured signals into as independent as possible components. Computing the contrast function, which serves as a measure of independence of…

Quantum Physics · Physics 2023-11-22 Xiao-Fan Xu , Cheng Xue , Zhao-Yun Chen , Yu-Chun Wu , Guo-Ping Guo

Independent Component Analysis (ICA) is a technique for unsupervised exploration of multi-channel data widely used in observational sciences. In its classical form, ICA relies on modeling the data as a linear mixture of non-Gaussian…

Machine Learning · Statistics 2017-11-30 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

Independent Component Analysis (ICA) is a statistical tool that decomposes an observed random vector into components that are as statistically independent as possible. ICA over finite fields is a special case of ICA, in which both the…

Machine Learning · Statistics 2018-11-14 Amichai Painsky , Saharon Rosset , Meir Feder

Independent Component Analysis (ICA) is a technique for unsupervised exploration of multi-channel data that is widely used in observational sciences. In its classic form, ICA relies on modeling the data as linear mixtures of non-Gaussian…

Machine Learning · Statistics 2018-08-01 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

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

Independent component analysis (ICA) has been shown to be useful in many applications. However, most ICA methods are sensitive to data contamination and outliers. In this article we introduce a general minimum U-divergence framework for…

Methodology · Statistics 2012-10-23 Peng-Wen Chen , Hung Hung , Osamu Komori , Su-Yun Huang , Shinto Eguchi

In recent years, there has been growing interest in jointly analyzing a foreground dataset, representing an experimental group, and a background dataset, representing a control group. The goal of such contrastive investigations is to…

Statistics Theory · Mathematics 2026-01-27 Kexin Wang , Aida Maraj , Anna Seigal

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

This paper introduces a novel statistical framework for independent component analysis (ICA) of multivariate data. We propose methodology for estimating and testing the existence of mutually independent components for a given dataset, and a…

Methodology · Statistics 2013-06-21 David S. Matteson , Ruey S. Tsay

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 dimensionality reduction technique that can boost efficiency of machine learning models that deal with probability density functions, e.g. Bayesian neural networks. Algorithms that implement…

Machine Learning · Computer Science 2017-07-10 Mahdi Nazemi , Shahin Nazarian , Massoud Pedram

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

Independent component analysis (ICA) is a statistical method for transforming an observable multi-dimensional random vector into components that are as statistically independent as possible from each other. Usually the ICA framework assumes…

Machine Learning · Statistics 2018-11-21 Amichai Painsky

Independent Component Analysis (ICA) is a statistical method often used to decompose a complex dataset in its independent sub-parts. It is a powerful technique to solve a typical Blind Source Separation problem. A fast calculation of the…

Astrophysics · Physics 2007-05-23 C. Cecchi , F. Marcucci , G. Tosti

Independent component analysis (ICA) is a statistical method for transforming an observable multidimensional random vector into components that are as statistically independent as possible from each other.Usually the ICA framework assumes a…

Information Theory · Computer Science 2015-08-21 Amichai Painsky , Saharon Rosset , Meir Feder

Independent Component Analysis (ICA) is intended to recover the mutually independent sources from their linear mixtures, and F astICA is one of the most successful ICA algorithms. Although it seems reasonable to improve the performance of F…

Machine Learning · Statistics 2022-02-09 YunPeng Li

Independent component analysis (ICA) is a widely used method in various applications of signal processing and feature extraction. It extends principal component analysis (PCA) and can extract important and complicated components with small…

Machine Learning · Computer Science 2025-09-17 Yoshitatsu Matsuda , Kazunori Yamaguch

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. In this paper we present Multiple-weighted Independent Component Analysis…

Machine Learning · Computer Science 2019-06-04 Andrzej Bedychaj , Przemysław Spurek , Łukasz Struskim , Jacek Tabor
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