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We propose an ICA contrast based on the density estimation of the observed signal and its marginals by means of wavelets. The risk of the associated moment estimator is linked with approximation properties in Besov spaces. It is shown to…

统计理论 · 数学 2007-06-13 Pascal Barbedor

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) 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

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 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 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…

机器学习 · 统计学 2016-09-23 Matan Sela , Ron Kimmel

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

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) - 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…

统计理论 · 数学 2017-02-01 Przemysław Spurek , Jacek Tabor , Przemysław Rola , Michał Ociepka

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

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) 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…

机器学习 · 计算机科学 2017-07-10 Mahdi Nazemi , Shahin Nazarian , Massoud Pedram

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) 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

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…

统计理论 · 数学 2023-04-03 Arnab Auddy , Ming Yuan

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

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 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…

天体物理学 · 物理学 2007-05-23 C. Cecchi , F. Marcucci , G. Tosti

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…

机器学习 · 计算机科学 2019-06-04 Andrzej Bedychaj , Przemysław Spurek , Łukasz Struskim , Jacek Tabor

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…

量子物理 · 物理学 2023-11-22 Xiao-Fan Xu , Cheng Xue , Zhao-Yun Chen , Yu-Chun Wu , Guo-Ping Guo
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