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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…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Zhimin Chen , Darius Parvin , Maedbh King , Susan Hao

Independent Component Analysis (ICA) is commonly-used in electroencephalogram (EEG) signal processing to remove non-cerebral artifacts from cerebral data. Despite the ubiquity of ICA, the effect of measurement uncertainty on the artifact…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Jennie Couchman , Orestis Kaparounakis , Chatura Samarakoon , Phillip Stanley-Marbell

The decomposition of a sample of images on a relevant subspace is a recurrent problem in many different fields from Computer Vision to medical image analysis. We propose in this paper a new learning principle and implementation of the…

Applications · Statistics 2012-03-19 Stéphanie Allassonniére , Laurent Younes

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 popular ICA methods use kurtosis as a metric of non-Gaussianity to…

Machine Learning · Statistics 2018-02-16 P. Spurek , P. Rola , J. Tabor , A. Czechowski

Independent Component Analysis (ICA) is an important step in EEG processing for a wide-ranging set of applications. However, ICA requires well-designed studies and data collection practices to yield optimal results. Past studies have…

Signal Processing · Electrical Eng. & Systems 2025-06-13 Gwenevere Frank , Seyed Yahya Shirazi , Jason Palmer , Gert Cauwenberghs , Scott Makeig , Arnaud Delorme

We propose a new method of independent component analysis (ICA) in order to extract appropriate features from high-dimensional data. In general, matrix factorization methods including ICA have a problem regarding the interpretability of…

Machine Learning · Statistics 2024-10-18 Yusuke Endo , Koujin Takeda

We consider a multi-view learning problem known as group independent component analysis (group ICA), where the goal is to recover shared independent sources from many views. The statistical modeling of this problem requires to take noise…

Machine Learning · Statistics 2021-02-23 Hugo Richard , Pierre Ablin , Aapo Hyvärinen , Alexandre Gramfort , Bertrand Thirion

Unsupervised feature learning algorithms based on convolutional formulations of independent components analysis (ICA) have been demonstrated to yield state-of-the-art results in several action recognition benchmarks. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2015-09-25 Sotirios P. Chatzis

A source separation method using a full-rank spatial covariance model has been proposed by Duong et al. ["Under-determined Reverberant Audio Source Separation Using a Full-rank Spatial Covariance Model," IEEE Trans. ASLP, vol. 18, no. 7,…

Sound · Computer Science 2018-05-18 Nobutaka Ito , Shoko Araki , Tomohiro Nakatani

This study presents the m-arcsinh Kernel ('m-ar-K') Fast Independent Component Analysis ('FastICA') method ('m-ar-K-FastICA') for feature extraction. The kernel trick has enabled dimensionality reduction techniques to capture a higher…

Machine Learning · Computer Science 2021-08-19 Luca Parisi

We propose to use precise estimators of mutual information (MI) to find least dependent components in a linearly mixed signal. On the one hand this seems to lead to better blind source separation than with any other presently available…

Computational Physics · Physics 2007-07-16 Harald Stögbauer , Alexander Kraskov , Sergey A. Astakhov , Peter Grassberger

The Independent Component Analysis (ICA) algorithm is implemented as a neural network for separating signals of different origin in astrophysical sky maps. Due to its self-organizing capability, it works without prior assumptions on the…

Fourier PCA is Principal Component Analysis of a matrix obtained from higher order derivatives of the logarithm of the Fourier transform of a distribution.We make this method algorithmic by developing a tensor decomposition method for a…

Machine Learning · Computer Science 2014-07-01 Navin Goyal , Santosh Vempala , Ying Xiao

Spatial Independent Component Analysis (ICA) is an increasingly used data-driven method to analyze functional Magnetic Resonance Imaging (fMRI) data. To date, it has been used to extract sets of mutually correlated brain regions without…

Applications · Statistics 2011-02-08 G. Varoquaux , S. Sadaghiani , P. Pinel , A. Kleinschmidt , J. B. Poline , B. Thirion

Spatial Independent Component Analysis (ICA) decomposes the time by space functional MRI (fMRI) matrix into a set of 1-D basis time courses and their associated 3-D spatial maps that are optimized for mutual independence. When applied to…

Applications · Statistics 2015-05-30 Gautam V. Pendse , David Borsook , Lino Becerra

The goal of this paper is to extend independent subspace analysis (ISA) to the case of (i) nonparametric, not strictly stationary source dynamics and (ii) unknown source component dimensions. We make use of functional autoregressive (fAR)…

Methodology · Statistics 2012-01-04 Zoltan Szabo

We study the problem of learning disentangled signals from data using non-linear Independent Component Analysis (ICA). Motivated by advances in self-supervised learning, we propose to learn self-sufficient signals: A recovered signal should…

Machine Learning · Statistics 2025-12-02 Song Liu

Application of independent component analysis (ICA) as an unmixing and image clustering technique for high spatial resolution Raman maps is reported. A hyperspectral map of a fixed human cell was collected by a Raman micro spectrometer in a…

Quantitative Methods · Quantitative Biology 2022-01-02 M. Hamed Mozaffari , Li-Lin Tay

Recently, nonlinear ICA has surfaced as a popular alternative to the many heuristic models used in deep representation learning and disentanglement. An advantage of nonlinear ICA is that a sophisticated identifiability theory has been…

Machine Learning · Statistics 2023-11-29 Hermanni Hälvä , Jonathan So , Richard E. Turner , Aapo Hyvärinen

We show an efficient algorithm for the following problem: Given uniformly random points from an arbitrary n-dimensional simplex, estimate the simplex. The size of the sample and the number of arithmetic operations of our algorithm are…

Machine Learning · Computer Science 2013-06-07 Joseph Anderson , Navin Goyal , Luis Rademacher
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