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The brain effortlessly solves blind source separation (BSS) problems, but the algorithm it uses remains elusive. In signal processing, linear BSS problems are often solved by Independent Component Analysis (ICA). To serve as a model of a…

Neural and Evolutionary Computing · Computer Science 2021-11-18 Yanis Bahroun , Dmitri B Chklovskii , Anirvan M Sengupta

Blind source separation, particularly through independent component analysis (ICA), is widely utilized across various signal processing domains for disentangling underlying components from observed mixed signals, owing to its fully…

Methodology · Statistics 2026-01-06 Qiang Li , Shujian Yu , Liang Ma , Chen Ma , Jingyu Liu , Tulay Adali , Vince D. Calhoun

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…

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

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

Information Theory · Computer Science 2015-08-21 Amichai Painsky , Saharon Rosset , Meir Feder

Data scarcity is a notable problem, especially in the medical domain, due to patient data laws. Therefore, efficient Pre-Training techniques could help in combating this problem. In this paper, we demonstrate that a model trained on the…

Machine Learning · Computer Science 2022-12-01 Zafar Iqbal , Usman Mahmood , Zening Fu , Sergey Plis

Brain networks in fMRI are typically identified using spatial independent component analysis (ICA), yet mathematical constraints such as sparse coding and positivity both provide alternate biologically-plausible frameworks for generating…

Neurons and Cognition · Quantitative Biology 2016-07-05 Jianwen Xie , Pamela K. Douglas , Ying Nian Wu , Arthur L. Brody , Ariana E. Anderson

Many analyses of functional magnetic resonance imaging (fMRI) examine functional connectivity (FC), or the statistical dependencies among distant brain regions. These analyses are typically exploratory, guiding future confirmatory research.…

Applications · Statistics 2025-10-20 Kyle Stanley , Nicole Lazar , Matthew Reimherr

Functional Magnetic Resonance Images acquired during resting-state provide information about the functional organization of the brain through measuring correlations between brain areas. Independent components analysis is the reference…

Neurons and Cognition · Quantitative Biology 2014-12-15 Alexandre Abraham , Elvis Dohmatob , Bertrand Thirion , Dimitris Samaras , Gael Varoquaux

Steady-state visual evoked potential (SSVEP)-based brain-computer interfaces (BCIs) can achieve high recognition accuracy with sufficient training data. Transfer learning presents a promising solution to alleviate data requirements for the…

Human-Computer Interaction · Computer Science 2025-06-16 Ziwen Wang , Yue Zhang , Zhiqiang Zhang , Sheng Quan Xie , Alexander Lanzon , William P. Heath , Zhenhong Li

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

In recent years, there has been strong interest in neuroscience studies to investigate brain organization through networks of brain regions that demonstrate strong functional connectivity (FC). These networks are extracted from observed…

Applications · Statistics 2017-03-14 Phebe Brenne Kemmer , F. DuBois Bowman , Helen Mayberg , Ying Guo

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…

Statistics Theory · Mathematics 2023-04-03 Arnab Auddy , Ming Yuan

Spatial Transcriptomics (ST) is a method that captures gene expression profiles aligned with spatial coordinates. The discrete spatial distribution and the super-high dimensional sequencing results make ST data challenging to be modeled…

Machine Learning · Computer Science 2025-05-08 Qingtian Zhu , Yumin Zheng , Yuling Sang , Yifan Zhan , Ziyan Zhu , Jun Ding , Yinqiang Zheng

Independent Component Analysis (ICA) is a popular model for blind signal separation. The ICA model assumes that a number of independent source signals are linearly mixed to form the observed signals. We propose a new algorithm, PEGI (for…

Machine Learning · Computer Science 2015-10-02 James Voss , Mikhail Belkin , Luis Rademacher

Independent Component Analysis (ICA) uses a measure of non-Gaussianity to identify latent sources from data and estimate their mixing coefficients (Shimizu et al., 2006). Meanwhile, higher-order Orthogonal Machine Learning (OML) exploits…

Machine Learning · Statistics 2026-03-02 Patrik Reizinger , Lester Mackey , Wieland Brendel , Rahul Krishnan

Independent component analysis (ICA) has become a standard data analysis technique applied to an array of problems in signal processing and machine learning. This tutorial provides an introduction to ICA based on linear algebra formulating…

Machine Learning · Computer Science 2014-04-14 Jonathon Shlens

The study of functional brain connectivity (FC) is important for understanding the underlying mechanisms of many psychiatric disorders. Many recent analyses adopt graph convolutional networks, to study non-linear interactions between…

Neurons and Cognition · Quantitative Biology 2021-09-08 Simon Dahan , Logan Z. J. Williams , Daniel Rueckert , Emma C. Robinson

Independent Component Analysis (ICA) recently has attracted attention in the statistical literature as an alternative to elliptical models. Whereas k-dimensional elliptical densities depend on one single unspecified radial density, however,…

Methodology · Statistics 2013-12-17 Marc Hallin , Chintan Mehta

This article introduces a predictor-dependent joint modeling framework for network data obtained from multiple subjects over a shared set of nodes with spatial co-ordinates and spatially correlated nodal attributes. The framework is highly…