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We implement and further refine the recently proposed method (Kashlinsky, Hern\'andez-Monteagudo & Atrio-Barandela, 2001 - KHA) for a time efficient extraction of the power spectrum from future cosmic microwave background (CMB) maps. The…

Astrophysics · Physics 2009-11-07 C. Hernandez-Monteagudo , A. Kashlinsky , F. Atrio-Barandela

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

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

Independent component analysis (ICA) is the most popular method for blind source separation (BSS) with a diverse set of applications, such as biomedical signal processing, video and image analysis, and communications. Maximum likelihood…

Machine Learning · Statistics 2016-10-25 Zois Boukouvalas , Rami Mowakeaa , Geng-Shen Fu , Tulay Adali

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…

(abridged) We discuss the Galactic foreground emission between 20 and 100GHz based on observations by Planck/WMAP. The Commander component-separation tool has been used to separate the various astrophysical processes in total intensity.…

Astrophysics of Galaxies · Physics 2016-09-21 Planck Collaboration , P. A. R. Ade , N. Aghanim , M. I. R. Alves , M. Arnaud , M. Ashdown , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , J. G. Bartlett , N. Bartolo , E. Battaner , K. Benabed , A. Benoit , A. Benoit-Levy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. J. Bock , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , F. Boulanger , M. Bucher , C. Burigana , R. C. Butler , E. Calabrese , J. -F. Cardoso , A. Catalano , A. Challinor , A. Chamballu , R. -R. Chary , H. C. Chiang , P. R. Christensen , S. Colombi , L. P. L. Colombo , C. Combet , F. Couchot , A. Coulais , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , J. -M. Delouis , F. -X. Desert , C. Dickinson , J. M. Diego , H. Dole , S. Donzelli , O. Dore , M. Douspis , A. Ducout , X. Dupac , G. Efstathiou , F. Elsner , T. A. Ensslin , H. K. Eriksen , E. Falgarone , J. Fergusson , F. Finelli , O. Forni , M. Frailis , A. A. Fraisse , E. Franceschi , A. Frejsel , S. Galeotta , S. Galli , K. Ganga , T. Ghosh , M. Giard , Y. Giraud-Heraud , E. Gjerlow , J. Gonzalez-Nuevo , K. M. Gorski , S. Gratton , A. Gregorio , A. Gruppuso , J. E. Gudmundsson , F. K. Hansen , D. Hanson , D. L. Harrison , G. Helou , S. Henrot-Versille , C. Hernandez-Monteagudo , D. Herranz , S. R. Hildebrandt , E. Hivon , M. Hobson , W. A. Holmes , A. Hornstrup , W. Hovest , K. M. Huffenberger , G. Hurier , A. H. Jaffe , T. R. Jaffe , W. C. Jones , M. Juvela , E. Keihanen , R. Keskitalo , T. S. Kisner , R. Kneissl , J. Knoche , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lahteenmaki , J. -M. Lamarre , A. Lasenby , M. Lattanzi , C. R. Lawrence , J. P. Leahy , R. Leonardi , J. Lesgourgues , F. Levrier , M. Liguori , P. B. Lilje , M. Linden-Vornle , M. Lopez-Caniego , P. M. Lubin , J. F. Macias-Perez , G. Maggio , D. Maino , N. Mandolesi , A. Mangilli , M. Maris , D. J. Marshall , P. G. Martin , E. Martinez-Gonzalez , S. Masi , S. Matarrese , P. McGehee , P. R. Meinhold , A. Melchiorri , L. Mendes , A. Mennella , M. Migliaccio , S. Mitra , M. -A. Miville-Deschenes , A. Moneti , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , J. A. Murphy , P. Naselsky , F. Nati , P. Natoli , C. B. Netterfield , H. U. Norgaard-Nielsen , F. Noviello , D. Novikov , I. Novikov , E. Orlando , C. A. Oxborrow , F. Paci , L. Pagano , F. Pajot , R. Paladini , D. Paoletti , B. Partridge , F. Pasian , G. Patanchon , T. J. Pearson , M. Peel , O. Perdereau , L. Perotto , F. Perrotta , V. Pettorino , F. Piacentini , M. Piat , E. Pierpaoli , D. Pietrobon , S. Plaszczynski , E. Pointecouteau , G. Polenta , G. W. Pratt , G. Prezeau , S. Prunet , J. -L. Puget , J. P. Rachen , W. T. Reach , R. Rebolo , M. Reinecke , M. Remazeilles , C. Renault , A. Renzi , I. Ristorcelli , G. Rocha , C. Rosset , M. Rossetti , G. Roudier , J. A. Rubino-Martin , B. Rusholme , M. Sandri , D. Santos , M. Savelainen , G. Savini , D. Scott , M. D. Seiffert , E. P. S. Shellard , L. D. Spencer , V. Stolyarov , R. Stompor , A. W. Strong , R. Sudiwala , R. Sunyaev , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , J. Tuovinen , G. Umana , L. Valenziano , J. Valiviita , B. Van Tent , M. Vidal , P. Vielva , F. Villa , L. A. Wade , B. D. Wandelt , R. Watson , I. K. Wehus , A. Wilkinson , D. Yvon , A. Zacchei , A. Zonca

We propose an extension of non-parametric multivariate finite mixture models by dropping the standard conditional independence assumption and incorporating the independent component analysis (ICA) structure instead. We formulate an…

Methodology · Statistics 2018-09-11 Xiaotian Zhu , David R. Hunter

We present a new method for the separation of superimposed, independent, auto-correlated components from noisy multi-channel measurement. The presented method simultaneously reconstructs and separates the components, taking all channels…

Methodology · Statistics 2018-02-14 Jakob Knollmüller , Torsten A. Enßlin

Independent component analysis (ICA) has often been used as a tool to model natural image statistics by separating multivariate signals in the image into components that are assumed to be independent. However, these estimated components…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Zhimin Chen , Darius Parvin , Maedbh King , Susan Hao

We present a Bayesian inference method to characterise the dust emission properties using the well-known dust-HI correlation in the diffuse interstellar medium at Planck frequencies $\nu \ge 217$ GHz. We use the Galactic HI map from the…

We present a novel technique for Cosmic Microwave Background (CMB) foreground subtraction based on the framework of blind source separation. Inspired by previous work incorporating local variation to Generalized Morphological Component…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-28 Sebastian Wagner-Carena , Max Hopkins , Ana Diaz Rivero , Cora Dvorkin

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

We present in this paper a new Bayesian semi-blind approach for foreground removal in observations of the 21-cm signal with interferometers. The technique, which we call HIEMICA (HI Expectation-Maximization Independent Component Analysis),…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-20 Le Zhang , Emory F. Bunn , Ata Karakci , Andrei Korotkov , P. M. Sutter , Peter T. Timbie , Gregory S. Tucker , Benjamin D. Wandelt

Functional Principal Components Analysis (FPCA) is a widely used analytic tool for dimension reduction of functional data. Traditional implementations of FPCA estimate the principal components from the data, then treat these estimates as…

Methodology · Statistics 2026-04-03 Joseph Sartini , Xinkai Zhou , Liz Selvin , Scott Zeger , Ciprian Crainiceanu

The decomposition of a sample of images on a relevant subspace is a recurrent problem in many different fields from Computer Vision to medical image analysis. We propose in this paper a new learning principle and implementation of the…

Applications · Statistics 2012-03-19 Stéphanie Allassonniére , Laurent Younes

In this work we investigate the Principal Component Analysis (PCA) sensitivity to the velocity power spectrum in high opacity regimes of the interstellar medium (ISM). For our analysis we use synthetic Position-Position-Velocity (PPV) cubes…

The Cosmological Microwave Background (CMB) is of premier importance for the cosmologists to study the birth of our universe. Unfortunately, most CMB experiments such as COBE, WMAP or Planck do not provide a direct measure of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 J. Bobin , J. -L. Starck , F. Sureau , S. Basak

Principal component analysis (PCA) plays an important role in the analysis of cryo-EM images for various tasks such as classification, denoising, compression, and ab-initio modeling. We introduce a fast method for estimating a compressed…

Numerical Analysis · Mathematics 2022-11-01 Nicholas F. Marshall , Oscar Mickelin , Yunpeng Shi , Amit Singer

21 cm intensity mapping has emerged as a promising technique to map the large-scale structure of the Universe. However, the presence of foregrounds with amplitudes orders of magnitude larger than the cosmological signal constitutes a…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-30 Isabella P. Carucci , Melis O. Irfan , Jérôme Bobin

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