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Independent component analysis (ICA) is a fundamental problem in the field of signal processing, and numerous algorithms have been developed to address this issue. The core principle of these algorithms is to find a transformation matrix…

信号处理 · 电气工程与系统科学 2024-05-21 Liangliang Zhu , Zhebin Song , Xuesen Zhang , Meibin Qi

Independent component analysis (ICA) is a computational method for separating a multivariate signal into subcomponents assuming the mutual statistical independence of the non-Gaussian source signals. The classical Independent Components…

信息论 · 计算机科学 2015-05-19 Huy Nguyen , Rong Zheng

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…

机器学习 · 统计学 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…

统计理论 · 数学 2024-02-16 Marina Garrote-López , Monroe Stephenson

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…

统计理论 · 数学 2025-10-10 Alvaro Ribot , Anna Seigal , Piotr Zwiernik

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…

机器学习 · 计算机科学 2023-03-06 Teodora Pandeva , Patrick Forré

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…

宇宙学与河外天体物理 · 物理学 2015-06-15 Kiyotomo Ichiki , Ryohei Kaji , Hiroaki Yamamoto , Tsutomu T. Takeuchi , Yasuo Fukui

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),…

应用统计 · 统计学 2013-07-04 Yar M. Mughal , A. Krivoshei , P. Annus

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…

计算机视觉与模式识别 · 计算机科学 2019-01-25 Zhimin Chen , Darius Parvin , Maedbh King , Susan Hao

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…

机器学习 · 统计学 2018-08-01 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

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…

统计理论 · 数学 2026-01-27 Kexin Wang , Aida Maraj , Anna Seigal

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.…

统计计算 · 统计学 2025-05-15 Sarah Leyder , Jakob Raymaekers , Peter J. Rousseeuw , Tom Van Deuren , Tim Verdonck

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…

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…

统计方法学 · 统计学 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 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…

机器学习 · 计算机科学 2025-09-17 Yoshitatsu Matsuda , Kazunori Yamaguch

In the independent component model, the multivariate data is assumed to be a mixture of mutually independent latent components, and in independent component analysis (ICA) the aim is to estimate these latent components. In this paper we…

统计理论 · 数学 2020-06-23 Jari Miettinen , Markus Matilainen , Klaus Nordhausen , Sara Taskinen

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.…

机器学习 · 计算机科学 2015-09-03 Joseph Anderson , Navin Goyal , Anupama Nandi , Luis Rademacher

Independent component analysis (ICA) aims at decomposing an observed random vector into statistically independent variables. Deflation-based implementations, such as the popular one-unit FastICA algorithm and its variants, extract the…

机器学习 · 统计学 2016-11-15 Vicente Zarzoso , Pierre Comon

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…

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…

机器学习 · 计算机科学 2023-12-04 Ambroise Heurtebise , Pierre Ablin , Alexandre Gramfort
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