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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…

信号处理 · 电气工程与系统科学 2026-04-27 David Watts , Jonathan H. Manton

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…

统计方法学 · 统计学 2009-09-29 Aiyou Chen , Peter J. Bickel

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

Independent Component Analysis (ICA) models are very popular semiparametric models in which we observe independent copies of a random vector $X = AS$, where $A$ is a non-singular matrix and $S$ has independent components. We propose a new…

统计理论 · 数学 2012-06-05 Richard J. Samworth , Ming Yuan

Independent Component Analysis (ICA) recently has attracted attention in the statistical literature as an alternative to elliptical models. Whereas k-dimensional elliptical densities depend on one single unspecified radial density, however,…

统计方法学 · 统计学 2013-12-17 Marc Hallin , Chintan Mehta

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

We describe a method for unmixing mixtures of freely independent random variables in a manner analogous to the independent component analysis (ICA) based method for unmixing independent random variables from their additive mixtures. Random…

机器学习 · 计算机科学 2022-02-08 Hao Wu , Raj Rao Nadakuditi

Independent component analysis (ICA) is a powerful method for blind source separation based on the assumption that sources are statistically independent. Though ICA has proven useful and has been employed in many applications, complete…

机器学习 · 统计学 2016-10-21 Zois Boukouvalas , Yuri Levin-Schwartz , Tulay Adali

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…

统计理论 · 数学 2007-06-13 Pascal Barbedor

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…

机器学习 · 统计学 2022-12-14 Seonjoo Lee , Haipeng Shen , Young K. Truong

Although approaches to Independent Component Analysis (ICA) based on characteristic function seem theoretically elegant, they may suffer from implementational challenges because of numerical integration steps or selection of tuning…

统计方法学 · 统计学 2025-11-07 Vincent Starck

Independent Component Analysis (ICA) is a fundamental unsupervised learning technique foruncovering latent structure in data by separating mixed signals into their independent sources. While substantial progress has been made in…

机器学习 · 计算机科学 2026-04-13 Yuwen Jiang

We develop a new neural network based independent component analysis (ICA) method by directly minimizing the dependence amongst all extracted components. Using the matrix-based R{\'e}nyi's $\alpha$-order entropy functional, our network can…

图像与视频处理 · 电气工程与系统科学 2022-02-16 Hongming Li , Shujian Yu , Jose C. Principe

Independent Component Analysis (ICA) was introduced in the 1980's as a model for Blind Source Separation (BSS), which refers to the process of recovering the sources underlying a mixture of signals, with little knowledge about the source…

统计理论 · 数学 2026-02-09 Syamantak Kumar , Purnamrita Sarkar , Peter Bickel , Derek Bean

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…

计算与语言 · 计算机科学 2024-09-05 Tomáš Musil , David Mareček

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…

机器学习 · 统计学 2019-05-28 Pierre Ablin , Alexandre Gramfort , Jean-François Cardoso , Francis Bach

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…

统计方法学 · 统计学 2013-06-21 David S. Matteson , Ruey S. Tsay

Independent component analysis (ICA) is a powerful computational tool for separating independent source signals from their linear mixtures. ICA has been widely applied in neuroimaging studies to identify and characterize underlying brain…

应用统计 · 统计学 2015-05-01 Ran Shi , Ying Guo

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 Mechanism Analysis (IMA) seeks to address non-identifiability in nonlinear Independent Component Analysis (ICA) by assuming that the Jacobian of the mixing function has orthogonal columns. As typical in ICA, previous work…

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