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We generalize the low-rank decomposition problem, such as principal and independent component analysis (PCA, ICA) for continuous-time vector-valued signals and provide a model-agnostic implicit neural signal representation framework to…

Machine Learning · Computer Science 2025-07-15 Shayan K. Azmoodeh , Krishna Subramani , Paris Smaragdis

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

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

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

This paper presents and discusses the application of blind source separation to astrophysical data obtained with the WMAP satellite. Blind separation permits to identify and isolate a component compatible with CMB emission, and to measure…

Astrophysics · Physics 2007-05-23 G. Patanchon , J. Delabrouille , J. -F. Cardoso

In this work we study the relevance of the component separation technique based on the Independent Component Analysis (ICA) and investigate its performance in the context of a limited sky coverage observation and from the viewpoint of our…

Astrophysics · Physics 2009-11-11 Federico Stivoli , Carlo Baccigalupi , Davide Maino , Radek Stompor

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

Two blind source separation methods (Independent Component Analysis and Non-negative Matrix Factorization), developed initially for signal processing in engineering, found recently a number of applications in analysis of large-scale data in…

Quantitative Methods · Quantitative Biology 2015-02-03 Andrei Zinovyev , Ulykbek Kairov , Tatiana Karpenyuk , Erlan Ramanculov

Infrared interferometers are optical devices that can measure optical path-length differences by measuring changes in the refractive index. Several arrangements can be deployed, from single channel devices to multichannel double color…

Signal Processing · Electrical Eng. & Systems 2024-02-16 Luis Esteban , Alberto Regadío , Ulises Losada

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

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 so-called independent low-rank matrix analysis (ILRMA) has demonstrated a great potential for dealing with the problem of determined blind source separation (BSS) for audio and speech signals. This method assumes that the spectra from…

Sound · Computer Science 2024-01-04 Jianyu Wang , Shanzheng Guan , Jingdong Chen , Jacob Benesty

Independent Component Analysis (ICA) offers interpretable semantic components of embeddings. While ICA theory assumes that embeddings can be linearly decomposed into independent components, real-world data often do not satisfy this…

Computation and Language · Computer Science 2024-10-10 Momose Oyama , Hiroaki Yamagiwa , Hidetoshi Shimodaira

The INTEGRAL/SPI, X-gamma-ray spectrometer (20 keV - 8 MeV) is an instrument for which recovering source intensity variations is not straightforward and can constitute a difficulty for data analysis. In most cases, determining the source…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 L. Bouchet , P. -R Amestoy , A. Buttari , F. -H. Rouet , M. Chauvin

Group studies involving large cohorts of subjects are important to draw general conclusions about brain functional organization. However, the aggregation of data coming from multiple subjects is challenging, since it requires accounting for…

Machine Learning · Statistics 2020-12-25 Hugo Richard , Luigi Gresele , Aapo Hyvärinen , Bertrand Thirion , Alexandre Gramfort , Pierre Ablin

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

The advancement in the field of data science especially in machine learning along with vast databases of variable star projects like the Optical Gravitational Lensing Experiment (OGLE) encourages researchers to analyse as well as classify…

Solar and Stellar Astrophysics · Physics 2022-01-24 Suman Paul , Tanuka Chattopadhyay

Independent component analysis (ICA) is an unsupervised learning method popular in functional magnetic resonance imaging (fMRI). Group ICA has been used to search for biomarkers in neurological disorders including autism spectrum disorder…

Methodology · Statistics 2021-01-14 Yuxuan Zhao , David S. Matteson , Mary Beth Nebel , Stewart H. Mostofsky , Benjamin Risk

Compressive learning forms the exciting intersection between compressed sensing and statistical learning where one exploits forms of sparsity and structure to reduce the memory and/or computational complexity of the learning task. In this…

Machine Learning · Statistics 2021-10-18 Michael P. Sheehan , Mike E. Davies

In high-energy astronomy, spectro-imaging instruments such as X-ray detectors allow investigation of the spatial and spectral properties of extended sources including galaxy clusters, galaxies, diffuse interstellar medium, supernova…

High Energy Astrophysical Phenomena · Physics 2019-07-24 Adrien Picquenot , Fabio Acero , Jérôme Bobin , Pierre Maggi , Jean Ballet , Gabriel W. Pratt