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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

Independent component analysis (ICA) studies mixtures of independent latent sources. An ICA model is identifiable if the mixing can be recovered uniquely. It is well-known that ICA is identifiable if and only if at most one source is…

Statistics Theory · Mathematics 2024-01-29 Kexin Wang , Anna Seigal

We consider shared response modeling, a multi-view learning problem where one wants to identify common components from multiple datasets or views. We introduce Shared Independent Component Analysis (ShICA) that models each view as a linear…

Machine Learning · Computer Science 2021-10-27 Hugo Richard , Pierre Ablin , Bertrand Thirion , Alexandre Gramfort , Aapo Hyvärinen

Introduction: Electroencephalogram (EEG) signals have gained significant popularity in various applications due to their rich information content. However, these signals are prone to contamination from various sources of artifacts, notably…

Signal Processing · Electrical Eng. & Systems 2023-08-28 Behrad TaghiBeyglou , Fatemeh Bagheri

We apply both distance-based (Jin and Matteson, 2017) and kernel-based (Pfister et al., 2016) mutual dependence measures to independent component analysis (ICA), and generalize dCovICA (Matteson and Tsay, 2017) to MDMICA, minimizing…

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

Images Stacks as Parametric Surfaces (ISPS) is a powerful model that was originally proposed for image registration. Being closely related to mutual information (MI) - the most classic similarity measure for image registration, ISPS works…

Signal Processing · Electrical Eng. & Systems 2018-07-11 Birmingham Hang Guan , Anand Rangarajan

Epilepsy is a highly prevalent brain condition with many serious complications arising from it. The majority of patients which present to a clinic and undergo electroencephalogram (EEG) monitoring would be unlikely to experience seizures…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Matthew McDougall , Hezam Albaqami , Ghulam Mubashar Hassan , Amitava Datta

Blind source separation(BSS) is a hotspot in signal processing, and independent component analysis (ICA) is a very effective tool for solving the BSS problem. In order to improve the performance of the separation, a new nonlinear function…

Signal Processing · Electrical Eng. & Systems 2019-07-09 Pengfei Xu , Yinjie Jia , Zhijian Wang

In recent years, Independent Component Analysis (ICA) has successfully been applied to remove noise and artifacts in images obtained from Three-dimensional Polarized Light Imaging (3D-PLI) at the mesoscale (i.e., 64 $\mu$m). Here, we…

Medical Physics · Physics 2020-12-01 Kai Benning , Miriam Menzel , Jan Reuter , Markus Axer

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.…

Machine Learning · Computer Science 2015-09-03 Joseph Anderson , Navin Goyal , Anupama Nandi , Luis Rademacher

A novel extension of Independent Component and Independent Vector Analysis for blind extraction/separation of one or several sources from time-varying mixtures is proposed. The mixtures are assumed to be separable source-by-source in series…

Signal Processing · Electrical Eng. & Systems 2021-05-12 Zbyněk Koldovský , Václav Kautský , Petr Tichavský

Machine learning and data analysis now finds both scientific and industrial application in biology, chemistry, geology, medicine, and physics. These applications rely on large quantities of data gathered from automated sensors and user…

Machine Learning · Computer Science 2017-05-26 Joseph Anderson

Large brain imaging databases contain a wealth of information on brain organization in the populations they target, and on individual variability. While such databases have been used to study group-level features of populations directly,…

Applications · Statistics 2019-06-19 Amanda F. Mejia , Mary Beth Nebel , Yikai Wang , Brian S. Caffo , Ying Guo

Independent component analysis (ICA) is a method to extract a set of time-series data using ``statistical independency" of each component. We applied ICA to extract gravitational wave (GW) signals directly from the detector data. Our idea…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Rika Shimomura , Yuuichi Tabe , Hisaaki Shinkai

Fast Independent Component Analysis (FastICA) is a component separation algorithm based on the levels of non-Gaussianity. Here we apply the FastICA to the component separation problem of the microwave background including carbon monoxide…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Kiyotomo Ichiki , Ryohei Kaji , Hiroaki Yamamoto , Tsutomu T. Takeuchi , Yasuo Fukui

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 analysis of the wavelength-dependent albedo of exoplanets represents a direct way to provide insight of their atmospheric composition and to constrain theoretical planetary atmosphere modelling. Wavelength-dependent albedo can be…

Instrumentation and Methods for Astrophysics · Physics 2019-10-09 Paolo Di Marcantonio , Carlo Morossi , Mariagrazia Franchini , Holger Lehmann

Brain cognitive functions arise through the coordinated activity of several brain regions, which actually form complex dynamical systems operating at multiple frequencies. These systems often consist of interacting subsystems, whose…

Medical Physics · Physics 2019-01-25 Federico Chella , Vittorio Pizzella , Filippo Zappasodi , Guido Nolte , Laura Marzetti

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

The ageing process may lead to cognitive and physical impairments, which may affect elderly everyday life. In recent years, the use of Brain Computer Interfaces (BCIs) based on Electroencephalography (EEG) has revealed to be particularly…

Signal Processing · Electrical Eng. & Systems 2022-03-28 Aurora Saibene , Francesca Gasparini , Jordi Solé-Casals
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