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Independent Component Analysis (ICA) plays a central role in modern machine learning as a flexible framework for feature extraction. We introduce a horseshoe-type prior with a latent Polya-Gamma scale mixture representation, yielding…

Methodology · Statistics 2025-11-17 Jyotishka Datta , Soham Ghosh , Nicholas G. Polson

In many daily-life scenarios, acoustic sources recorded in an enclosure can only be observed with other interfering sources. Hence, convolutive Blind Source Separation (BSS) is a central problem in audio signal processing. Methods based on…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-12 Andreas Brendel , Thomas Haubner , Walter Kellermann

We present a new high performance Convex Cauchy Schwarz Divergence (CCS DIV) measure for Independent Component Analysis (ICA) and Blind Source Separation (BSS). The CCS DIV measure is developed by integrating convex functions into the…

Information Theory · Computer Science 2014-08-04 Zaid Albataineh , Fathi M. Salem

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

We describe a method for unmixing mixtures of freely independent random variables in a manner analogous to the independent component analysis (ICA) based method for unmixing independent random variables from their additive mixtures. Random…

Machine Learning · Computer Science 2022-02-08 Hao Wu , Raj Rao Nadakuditi

Independent component analysis (ICA) is widely used to separate mixed signals and recover statistically independent components. However, in non-human primate neuroimaging studies, most ICA-recovered spatial maps are often dense. To extract…

Applications · Statistics 2025-09-23 Qiang Li , Liang Ma , Masoud Seraji , Shujian Yu , Yun Wang , Jingyu Liu , Vince D. Calhoun

Blind source separation (BSS) is a key technique in array processing and data analysis, aiming to recover unknown sources from observed mixtures without knowledge of the mixing matrix. Classical independent component analysis (ICA) methods…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Zhongxuan Li

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

Independent component analysis (ICA) has been a popular dimension reduction tool in statistical machine learning and signal processing. In this paper, we present a convergence analysis for an online tensorial ICA algorithm, by viewing the…

Machine Learning · Computer Science 2021-07-30 Chris Junchi Li , Michael I. Jordan

We present a generalization of independent component analysis (ICA), where instead of looking for a linear transform that makes the data components independent, we look for a transform that makes the data components well fit by a…

Machine Learning · Computer Science 2013-01-07 Francis R. Bach , Michael I. Jordan

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 meaningful patterns without prior information.…

Computer Vision and Pattern Recognition · Computer Science 2009-11-25 Gaël Varoquaux , Sepideh Sadaghiani , Jean Baptiste Poline , Bertrand Thirion

Finding overcomplete latent representations of data has applications in data analysis, signal processing, machine learning, theoretical neuroscience and many other fields. In an overcomplete representation, the number of latent features…

Machine Learning · Computer Science 2021-06-10 Jesse A. Livezey , Alejandro F. Bujan , Friedrich T. Sommer

Independent Vector Analysis (IVA) is a popular extension of Independent Component Analysis (ICA) for joint separation of a set of instantaneous linear mixtures, with a direct application in frequency-domain speaker separation or extraction.…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-05 Zbyněk Koldovský , Jaroslav Čmejla , Tülay Adalı , Stephen O'Regan

Independent Component Analysis (ICA) is an algorithm originally developed for finding separate sources in a mixed signal, such as a recording of multiple people in the same room speaking at the same time. Unlike Principal Component Analysis…

Computation and Language · Computer Science 2024-09-05 Tomáš Musil , David Mareček

This letter proposes a new blind source separation (BSS) framework termed minimum variance independent component analysis (MVICA), which can potentially achieve the maximum output signal-to-interference ratio (SIR) while also allowing more…

Sound · Computer Science 2022-03-09 Jianju Gu , Longbiao Cheng , Dingding Yao , Junfeng Li , Yonghong Yan

Here, a separation theorem about Independent Subspace Analysis (ISA), a generalization of Independent Component Analysis (ICA) is proven. According to the theorem, ISA estimation can be executed in two steps under certain conditions. In the…

Statistics Theory · Mathematics 2007-06-13 Zoltan Szabo , Barnabas Poczos , Andras Lorincz

In this paper we derive a new framework for independent component analysis (ICA), called measure-transformed ICA (MTICA), that is based on applying a structured transform to the probability distribution of the observation vector, i.e.,…

Methodology · Statistics 2013-12-10 Koby Todros , Alfred O. Hero

Independent component analysis (ICA), as a data driven method, has shown to be a powerful tool for functional magnetic resonance imaging (fMRI) data analysis. One drawback of this multivariate approach is, that it is not compatible to the…

Neurons and Cognition · Quantitative Biology 2019-03-25 Simon Wein , Ana Maria Tomé , Markus Goldhacker , Mark W. Greenlee , Elmar W. Lang

We consider the framework of Independent Component Analysis (ICA) for the case where the independent sources and their linear mixtures all reside in a Galois field of prime order P. Similarities and differences from the classical ICA…

Information Theory · Computer Science 2010-07-14 Arie Yeredor

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