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In recent years, longitudinal neuroimaging study has become increasingly popular in neuroscience research to investigate disease-related changes in brain functions. In current neuroscience literature, one of the most commonly used tools to…

Methodology · Statistics 2018-08-07 Yikai Wang , Ying Guo

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

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),…

Applications · Statistics 2013-07-04 Yar M. Mughal , A. Krivoshei , P. Annus

Motivated by mapping adverse artifactual events caused by body movements in electroencephalographic (EEG) signals, we present a functional independent component analysis based on the spectral decomposition of the kurtosis operator of a…

Methodology · Statistics 2021-06-08 Marc Vidal , Mattia Rosso , Ana M. Aguilera

Independent Component Analysis (ICA) is a statistical tool that decomposes an observed random vector into components that are as statistically independent as possible. ICA over finite fields is a special case of ICA, in which both the…

Machine Learning · Statistics 2018-11-14 Amichai Painsky , Saharon Rosset , Meir Feder

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

Independent component analysis (ICA) is popular in many applications, including cognitive neuroscience and signal processing. Due to computational constraints, principal component analysis is used for dimension reduction prior to ICA…

Methodology · Statistics 2017-10-03 Benjamin B. Risk , David S. Matteson , David Ruppert

Independent component analysis (ICA) decomposes multivariate data into mutually independent components (ICs). The ICA model is subject to a constraint that at most one of these components is Gaussian, which is required for model…

Methodology · Statistics 2018-05-18 Ze Jin , Benjamin B. Risk , David S. Matteson

Brain functional connectivity (FC), the temporal synchrony between brain networks, is essential to understand the functional organization of the brain and to identify changes due to neurological disorders, development, treatment, and other…

Applications · Statistics 2025-06-18 Amanda Mejia , David Bolin , Daniel Spencer , Ani Eloyan

The extended infomax algorithm for independent component analysis (ICA) can separate sub- and super-Gaussian signals but converges slowly as it uses stochastic gradient optimization. In this paper, an improved extended infomax algorithm is…

Methodology · Statistics 2024-04-10 Nicole Ille

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

Independent Component Analysis (ICA) aims to find a coordinate system in which the components of the data are independent. In this paper we construct a new nonlinear ICA model, called WICA, which obtains better and more stable results than…

Machine Learning · Computer Science 2020-12-11 Andrzej Bedychaj , Przemysław Spurek , Aleksandra Nowak , Jacek Tabor

Objective: Often, people with Subjective Cognitive Impairment (SCI), Mild Cognitive Impairment (MCI) and dementia are underwent to Electroencephalography (EEG) in order to evaluate through biological indexes the functional connectivity…

Signal Processing · Electrical Eng. & Systems 2019-04-10 Kalogiannis Grigorios , Chassapis George , Tsolaki Magda

Recent studies indicate that the neurons involved in a cognitive task aren't locally limited but span out to multiple human brain regions. We obtain network components and their locations for the task of listening to music. The recorded EEG…

Neurons and Cognition · Quantitative Biology 2021-10-26 Pranav Sankhe , Ritik Madan

ICLabel is an important plug-in function in EEGLAB, the most widely used software for EEG data processing. A powerful approach to automated processing of EEG data involves decomposing the data by Independent Component Analysis (ICA) and…

Signal Processing · Electrical Eng. & Systems 2024-11-28 Arnaud Delorme , Dung Truong , Luca Pion-Tonachini , Scott Makeig

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…

Machine Learning · Statistics 2016-11-15 Vicente Zarzoso , Pierre Comon

Independent component analysis is commonly applied to functional magnetic resonance imaging (fMRI) data to extract independent components (ICs) representing functional brain networks. While ICA produces reliable group-level estimates,…

Methodology · Statistics 2020-06-05 Amanda F. Mejia , David Bolin , Yu Ryan Yue , Jiongran Wang , Brian S. Caffo , Mary Beth Nebel

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…

Statistics Theory · Mathematics 2024-02-16 Marina Garrote-López , Monroe Stephenson

Independent component analysis (ICA) is a statistical method for transforming an observable multi-dimensional random vector into components that are as statistically independent as possible from each other. Usually the ICA framework assumes…

Machine Learning · Statistics 2018-11-21 Amichai Painsky

Independent component analysis (ICA) is a popular tool for investigating brain organization in neuroscience research. In fMRI studies, an important goal is to study how brain networks are modulated by subjects' clinical and demographic…

Computation · Statistics 2020-04-08 Joshua Lukemire , Yikai Wang , Amit Verma , Ying Guo