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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 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

Optical Coherence Tomography (OCT) is an emerging technique in the field of biomedical imaging, with applications in ophthalmology, dermatology, coronary imaging etc. OCT images usually suffer from a granular pattern, called speckle noise,…

Computer Vision and Pattern Recognition · Computer Science 2016-05-25 Ahmadreza Baghaie , Roshan M. D'souza , Zeyun Yu

Independent Mechanism Analysis (IMA) seeks to address non-identifiability in nonlinear Independent Component Analysis (ICA) by assuming that the Jacobian of the mixing function has orthogonal columns. As typical in ICA, previous work…

Machine Learning · Statistics 2023-12-22 Shubhangi Ghosh , Luigi Gresele , Julius von Kügelgen , Michel Besserve , Bernhard Schölkopf

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…

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

Independent Component Analysis (ICA) is a computational technique for revealing latent factors that underlie sets of measurements or signals. It has become a standard technique in functional neuroimaging. In functional neuroimaging, so…

We study optimization methods for solving the maximum likelihood formulation of independent component analysis (ICA). We consider both the the problem constrained to white signals and the unconstrained problem. The Hessian of the objective…

Machine Learning · Statistics 2018-06-26 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

In recent years, several methods have been proposed for the discovery of causal structure from non-experimental data (Spirtes et al. 2000; Pearl 2000). Such methods make various assumptions on the data generating process to facilitate its…

Machine Learning · Computer Science 2012-07-09 Shohei Shimizu , Aapo Hyvarinen , Yutaka Kano , Patrik O. Hoyer

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

Chemical separations data are typically analysed in the time domain using methods that integrate the discrete elution bands. Integrating the same chemical components across several samples must account for retention time drift over the…

Methodology · Statistics 2024-10-14 Michael Sorochan Armstrong , José Camacho

Deep neural networks learn structured features from complex, non-Gaussian inputs, but the mechanisms behind this process remain poorly understood. Our work is motivated by the observation that the first-layer filters learnt by deep…

Machine Learning · Statistics 2025-07-14 Fabiola Ricci , Lorenzo Bardone , Sebastian Goldt

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

Principal component analysis (PCA) is a widely used dimension reduction tool in the analysis of many kind of high-dimensional data. It is used in signal processing, mechanical engineering, psychometrics, and other fields under different…

Methodology · Statistics 2014-01-15 Ngoc Mai Tran , Maria Osipenko , Wolfgang Karl Haerdle

In April 2020, KAGRA conducted its first science observation in combination with the GEO~600 detector (O3GK) for two weeks. According to the noise budget estimation, suspension control noise in the low frequency band and acoustic noise in…

Instrumentation and Methods for Astrophysics · Physics 2022-06-14 KAGRA collaboration , H. Abe , T. Akutsu , M. Ando , A. Araya , N. Aritomi , H. Asada , Y. Aso , S. Bae , Y. Bae , R. Bajpai , K. Cannon , Z. Cao , E. Capocasa , M. Chan , C. Chen , D. Chen , K. Chen , Y. Chen , C-Y. Chiang , Y-K. Chu , S. Eguchi , M. Eisenmann , Y. Enomoto , R. Flaminio , H. K. Fong , Y. Fujii , Y. Fujikawa , Y. Fujimoto , I. Fukunaga , D. Gao , G. -G. Ge , S. Ha , I. P. W. Hadiputrawan , S. Haino , W. -B. Han , K. Hasegawa , K. Hattori , H. Hayakawa , K. Hayama , Y. Himemoto , N. Hirata , C. Hirose , T-C. Ho , B-H. Hsieh , H-F. Hsieh , C. Hsiung , H-Y. Huang , P. Huang , Y-C. Huang , Y. -J. Huang , D. C. Y. Hui , S. Ide , K. Inayoshi , Y. Inoue , K. Ito , Y. Itoh , C. Jeon , H. -B. Jin , k. Jung , P. Jung , K. Kaihotsu , T. Kajita , M. Kakizaki , M. Kamiizumi , N. Kanda , T. Kato , K. Kawaguchi , C. Kim , J. Kim , J. C. Kim , Y. -M. Kim , N. Kimura , T. Kiyota , Y. Kobayashi , K. Kohri , K. Kokeyama , A. K. H. Kong , N. Koyama , C. Kozakai , J. Kume , Y. Kuromiya , S. Kuroyanagi , K. Kwak , E. Lee , H. W. Lee , R. Lee , M. Leonardi , K. L. Li , P. Li , L. C. -C. Lin , C-Y. Lin , E. T. Lin , F-K. Lin , F-L. Lin , H. L. Lin , G. C. Liu , L. -W. Luo , M. Ma'arif , E. Majorana , Y. Michimura , N. Mio , O. Miyakawa , K. Miyo , S. Miyoki , Y. Mori , S. Morisaki , N. Morisue , Y. Moriwaki , K. Nagano , K. Nakamura , H. Nakano , M. Nakano , Y. Nakayama , T. Narikawa , L. Naticchioni , L. Nguyen Quynh , W. -T. Ni , T. Nishimoto , A. Nishizawa , S. Nozaki , Y. Obayashi , W. Ogaki , J. J. Oh , K. Oh , M. Ohashi , T. Ohashi , M. Ohkawa , H. Ohta , Y. Okutani , K. Oohara , S. Oshino , S. Otabe , K. -C. Pan , A. Parisi , J. Park , F. E. Peña Arellano , S. Saha , Y. Saito , K. Sakai , T. Sawada , Y. Sekiguchi , L. Shao , Y. Shikano , H. Shimizu , K. Shimode , H. Shinkai , T. Shishido , A. Shoda , K. Somiya , I. Song , R. Sugimoto , J. Suresh , T. Suzuki , T. Suzuki , T. Suzuki , H. Tagoshi , H. Takahashi , R. Takahashi , S. Takano , H. Takeda , M. Takeda , K. Tanaka , T. Tanaka , T. Tanaka , S. Tanioka , A. Taruya , T. Tomaru , T. Tomura , L. Trozzo , T. Tsang , J-S. Tsao , S. Tsuchida , T. Tsutsui , D. Tuyenbayev , N. Uchikata , T. Uchiyama , A. Ueda , T. Uehara , K. Ueno , G. Ueshima , T. Ushiba , M. H. P. M. van Putten , J. Wang , T. Washimi , C. Wu , H. Wu , T. Yamada , K. Yamamoto , T. Yamamoto , K. Yamashita , R. Yamazaki , Y. Yang , S. Yeh , J. Yokoyama , T. Yokozawa , T. Yoshioka , H. Yuzurihara , S. Zeidler , M. Zhan , H. Zhang , Y. Zhao , Z. -H. Zhu

We study the distributed computing setting in which there are multiple servers, each holding a set of points, who wish to compute functions on the union of their point sets. A key task in this setting is Principal Component Analysis (PCA),…

Machine Learning · Computer Science 2014-12-24 Maria-Florina Balcan , Vandana Kanchanapally , Yingyu Liang , David Woodruff

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

For statistical analysis of functional Magnetic Resonance Imaging (fMRI) data sets, we propose a data-driven approach based on Independent Component Analysis (ICA) implemented in a new version of the AnalyzeFMRI R package. For fMRI data…

Computation · Statistics 2013-07-22 Cécile Bordier , Michel Dojat , Pierre Lafaye de Micheaux

Previous analytical studies of on-line Independent Component Analysis (ICA) learning rules have focussed on asymptotic stability and efficiency. In practice the transient stages of learning will often be more significant in determining the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Magnus Rattray

Compositional data represent a specific family of multivariate data, where the information of interest is contained in the ratios between parts rather than in absolute values of single parts. The analysis of such specific data is…