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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) 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

We introduce coroICA, confounding-robust independent component analysis, a novel ICA algorithm which decomposes linearly mixed multivariate observations into independent components that are corrupted (and rendered dependent) by hidden…

Machine Learning · Statistics 2019-10-31 Niklas Pfister , Sebastian Weichwald , Peter Bühlmann , Bernhard Schölkopf

We apply the independent component analysis (ICA) to the real data from a gravitational wave detector for the first time. Specifically we use the iKAGRA data taken in April 2016, and calculate the correlations between the gravitational wave…

Instrumentation and Methods for Astrophysics · Physics 2020-06-03 KAGRA Collaboration , T. Akutsu , M. Ando , K. Arai , Y. Arai , S. Araki , A. Araya , N. Aritomi , H. Asada , Y. Aso , S. Atsuta , K. Awai , S. Bae , Y. Bae , L. Baiotti , R. Bajpai , M. A. Barton , K. Cannon , E. Capocasa , M. Chan , C. Chen , K. Chen , Y. Chen , H. Chu , Y-K. Chu , K. Craig , W. Creus , K. Doi , K. Eda , S. Eguchi , Y. Enomoto , R. Flaminio , Y. Fujii , M. -K. Fujimoto , M. Fukunaga , M. Fukushima , T. Furuhata , G. Ge , A. Hagiwara , S. Haino , K. Hasegawa , K. Hashino , H. Hayakawa , K. Hayama , Y. Himemoto , Y. Hiranuma , N. Hirata , S. Hirobayashi , E. Hirose , Z. Hong , B. H. Hsieh , G-Z. Huang , P. Huang , Y. Huang , B. Ikenoue , S. Imam , K. Inayoshi , Y. Inoue , K. Ioka , Y. Itoh , K. Izumi , K. Jung , P. Jung , T. Kaji , T. Kajita , M. Kakizaki , M. Kamiizumi , S. Kanbara , N. Kanda , S. Kanemura , M. Kaneyama , G. Kang , J. Kasuya , Y. Kataoka , K. Kawaguchi , N. Kawai , S. Kawamura , T. Kawasaki , C. Kim , J. C. Kim , W. S. Kim , Y. -M. Kim , N. Kimura , T. Kinugawa , S. Kirii , N. Kita , Y. Kitaoka , H. Kitazawa , Y. Kojima , K. Kokeyama , K. Komori , A. K. H. Kong , K. Kotake , C. Kozakai , R. Kozu , R. Kumar , J. Kume , C. Kuo , H-S. Kuo , S. Kuroyanagi , K. Kusayanagi , K. Kwak , H. K. Lee , H. M. Lee , H. W. Lee , R. Lee , M. Leonardi , C. Lin , C-Y. Lin , F-L. Lin , G. C. Liu , Y. Liu , L. Luo , E. Majorana , S. Mano , M. Marchio , T. Matsui , F. Matsushima , Y. Michimura , N. Mio , O. Miyakawa , A. Miyamoto , T. Miyamoto , Y. Miyazaki , K. Miyo , S. Miyoki , W. Morii , S. Morisaki , Y. Moriwaki , T. Morozumi , M. Musha , K. Nagano , S. Nagano , K. Nakamura , T. Nakamura , H. Nakano , M. Nakano , K. Nakao , R. Nakashima , T. Narikawa , L. Naticchioni , R. Negishi , L. Nguyen Quynh , W. -T. Ni , A. Nishizawa , Y. Obuchi , T. Ochi , W. Ogaki , J. J. Oh , S. H. Oh , M. Ohashi , N. Ohishi , M. Ohkawa , K. Okutomi , K. Oohara , C. P. Ooi , S. Oshino , K. Pan , H. Pang , J. Park , F. E. Pena Arellano , I. Pinto , N. Sago , M. Saijo , S. Saito , Y. Saito , K. Sakai , Y. Sakai , Y. Sakai , Y. Sakuno , M. Sasaki , Y. Sasaki , S. Sato , T. Sato , T. Sawada , T. Sekiguchi , Y. Sekiguchi , N. Seto , S. Shibagaki , M. Shibata , R. Shimizu , T. Shimoda , K. Shimode , H. Shinkai , T. Shishido , A. Shoda , K. Somiya , E. J. Son , H. Sotani , A. Suemasa , R. Sugimoto , T. Suzuki , T. Suzuki , H. Tagoshi , H. Takahashi , R. Takahashi , A. Takamori , S. Takano , H. Takeda , M. Takeda , H. Tanaka , K. Tanaka , K. Tanaka , T. Tanaka , T. Tanaka , S. Tanioka , E. N. Tapia San Martin , D. Tatsumi , S. Telada , T. Tomaru , Y. Tomigami , T. Tomura , F. Travasso , L. Trozzo , T. Tsang , K. Tsubono , S. Tsuchida , T. Tsuzuki , D. Tuyenbayev , N. Uchikata , T. Uchiyama , A. Ueda , T. Uehara , S. Ueki , K. Ueno , G. Ueshima , F. Uraguchi , T. Ushiba , M. H. P. M. van Putten , H. Vocca , S. Wada , T. Wakamatsu , J. Wang , C. Wu , H. Wu , S. Wu , W-R. Xu , T. Yamada , A. Yamamoto , K. Yamamoto , K. Yamamoto , S. Yamamoto , T. Yamamoto , K. Yokogawa , J. Yokoyama , T. Yokozawa , T. H. Yoon , T. Yoshioka , H. Yuzurihara , S. Zeidler , Y. Zhao , Z. -H. Zhu

Principal Component Analysis (PCA)-based techniques can separate data into different uncorrelated components and facilitate the statistical analysis as a pre-processing step. Independent Component Analysis (ICA) can separate statistically…

Instrumentation and Methods for Astrophysics · Physics 2023-01-03 Güray Hatipoğlu

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

Independent component analysis (ICA), as an approach to the blind source-separation (BSS) problem, has become the de-facto standard in many medical imaging settings. Despite successes and a large ongoing research effort, the limitation of…

Machine Learning · Computer Science 2016-03-23 R. Devon Hjelm , Sergey M. Plis , Vince C. Calhoun

Independent component analysis is an unsupervised learning approach for computing the independent components (ICs) from the multivariate signals or data matrix. The ICs are evaluated based on the multiplication of the weight matrix with the…

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) 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

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…

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

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

Independent Component Analysis (ICA) is an effective unsupervised tool to learn statistically independent representation. However, ICA is not only sensitive to whitening but also difficult to learn an over-complete basis. Consequently, ICA…

Computer Vision and Pattern Recognition · Computer Science 2013-04-10 Yanhui Xiao , Zhenfeng Zhu , Yao Zhao

I introduce Forecastable Component Analysis (ForeCA), a novel dimension reduction technique for temporally dependent signals. Based on a new forecastability measure, ForeCA finds an optimal transformation to separate a multivariate time…

Methodology · Statistics 2013-05-07 Georg M. Goerg

Independent component analysis is intended to recover the mutually independent components from their linear mixtures. This technique has been widely used in many fields, such as data analysis, signal processing, and machine learning. To…

Machine Learning · Statistics 2022-07-13 Yunpeng Li , ZhaoHui Ye

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

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

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

Blind source separation (BSS), particularly independent component analysis (ICA), has been widely used in various fields of science such as biomedical signal processing to recover latent source signals from the observed mixture. While ICA…

Methodology · Statistics 2026-01-14 Miro Arvila , Klaus Nordhausen , Mika Sipilä , Sara Taskinen
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