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Independent component analysis (ICA) is a blind source separation method for linear disentanglement of independent latent sources from observed data. We investigate the special setting of noisy linear ICA where the observations are split…

Machine Learning · Computer Science 2023-03-06 Teodora Pandeva , Patrick Forré

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 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

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

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

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

Independent component analysis (ICA) has become a standard data analysis technique applied to an array of problems in signal processing and machine learning. This tutorial provides an introduction to ICA based on linear algebra formulating…

Machine Learning · Computer Science 2014-04-14 Jonathon Shlens

Linear Independent Component Analysis (ICA) is a blind source separation technique that has been used in various domains to identify independent latent sources from observed signals. In order to obtain a higher signal-to-noise ratio, the…

Machine Learning · Computer Science 2023-12-04 Ambroise Heurtebise , Pierre Ablin , Alexandre Gramfort

We consider the framework of Independent Component Analysis (ICA) for the case where the independent sources and their linear mixtures all reside in a Galois field of prime order P. Similarities and differences from the classical ICA…

Information Theory · Computer Science 2010-07-14 Arie Yeredor

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 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) 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 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) 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

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) 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

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

Independent component analysis (ICA) has been widely used for blind source separation in many fields such as brain imaging analysis, signal processing and telecommunication. Many statistical techniques based on M-estimates have been…

Methodology · Statistics 2009-09-29 Aiyou Chen , Peter J. Bickel

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
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