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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…

Statistics Theory · Mathematics 2007-06-13 Pascal Barbedor

Reliable measures of statistical dependence could be useful tools for learning independent features and performing tasks like source separation using Independent Component Analysis (ICA). Unfortunately, many of such measures, like the…

Machine Learning · Statistics 2017-10-17 Philemon Brakel , Yoshua Bengio

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…

Statistics Theory · Mathematics 2012-06-05 Richard J. Samworth , Ming Yuan

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) 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

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) - 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 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

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…

Statistics Theory · Mathematics 2020-06-23 Jari Miettinen , Markus Matilainen , Klaus Nordhausen , Sara Taskinen

Marine controlled source electromagnetic (CSEM) sensing method used for the detection of hydrocarbons based reservoirs in seabed logging application does not perform well due to the presence of the airwaves (or sea-surface). These airwaves…

Other Computer Science · Computer Science 2013-03-12 Adeel Ansari , Afza Bt Shafie , Abas B Md Said , Seema Ansari

Compressive learning forms the exciting intersection between compressed sensing and statistical learning where one exploits forms of sparsity and structure to reduce the memory and/or computational complexity of the learning task. In this…

Machine Learning · Statistics 2021-10-18 Michael P. Sheehan , Mike E. Davies

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 the most popular method for blind source separation (BSS) with a diverse set of applications, such as biomedical signal processing, video and image analysis, and communications. Maximum likelihood…

Machine Learning · Statistics 2016-10-25 Zois Boukouvalas , Rami Mowakeaa , Geng-Shen Fu , Tulay Adali

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 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 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

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

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

The authors consider the problem of estimating the density $g$ of independent and identically distributed variables $X\_i$, from a sample $Z\_1, ..., Z\_n$ where $Z\_i=X\_i+\sigma\epsilon\_i$, $i=1, ..., n$, $\epsilon$ is a noise…

Statistics Theory · Mathematics 2008-02-11 Fabienne Comte , Yves Rozenholc , Marie-Luce Taupin

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
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