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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

We present a technique for the blind separation of components in CMB data. The method uses a spectral EM algorithm which recovers simultaneously component templates, their emission law as a function of wavelength, and noise levels. We test…

We propose a solution to the CMB component separation problem based on standard parameter estimation techniques. We assume a parametric spectral model for each signal component, and fit the corresponding parameters pixel by pixel in a…

A recently proposed mutual information based algorithm for decomposing data into least dependent components (MILCA) is applied to spectral analysis, namely to blind recovery of concentrations and pure spectra from their linear mixtures. The…

Data Analysis, Statistics and Probability · Physics 2007-07-13 Sergey A. Astakhov , Harald Stögbauer , Alexander Kraskov , Peter Grassberger

A flexible maximum-entropy component separation algorithm is presented that accommodates anisotropic noise, incomplete sky-coverage and uncertainties in the spectral parameters of foregrounds. The capabilities of the method are determined…

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 provide a fast algorithm to diagnose any directional dependence in the cosmological parameters by calculating maps of local cosmological parameter estimates and their joint errors. The technique implements a fast quadratic estimator…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-26 Suvodip Mukherjee , Benjamin D. Wandelt

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

We present a new algorithm for Independent Component Analysis (ICA) which has provable performance guarantees. In particular, suppose we are given samples of the form $y = Ax + \eta$ where $A$ is an unknown $n \times n$ matrix and $x$ is a…

Machine Learning · Computer Science 2012-11-13 Sanjeev Arora , Rong Ge , Ankur Moitra , Sushant Sachdeva

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

We present a study of the effect of component separation on the recovered cosmic microwave background (CMB) temperature distribution, considering Gaussian and non-Gaussian input CMB maps. First, we extract the CMB component from simulated…

Astrophysics · Physics 2009-11-10 R. B. Barreiro , E. Martinez-Gonzalez , P. Vielva , M. P. Hobson

We describe the data processing pipeline of the Planck Low Frequency Instrument (LFI) data processing centre (DPC) to create and characterize full-sky maps based on the first 15.5 months of operations at 30, 44 and 70 GHz. In particular, we…

Instrumentation and Methods for Astrophysics · Physics 2014-10-29 Planck Collaboration , N. Aghanim , C. Armitage-Caplan , M. Arnaud , M. Ashdown , F. Atrio-Barandela , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , E. Battaner , K. Benabed , A. Benoît , A. Benoit-Lévy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. Bobin , J. J. Bock , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , M. Bridges , M. Bucher , C. Burigana , R. C. Butler , B. Cappellini , J. -F. Cardoso , A. Catalano , A. Chamballu , X. Chen , L. -Y Chiang , P. R. Christensen , S. Church , S. Colombi , L. P. L. Colombo , B. P. Crill , M. Cruz , A. Curto , F. Cuttaia , L. Danese , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , C. Dickinson , J. M. Diego , H. Dole , S. Donzelli , O. Doré , M. Douspis , X. Dupac , G. Efstathiou , T. A. Enßlin , H. K. Eriksen , M. C. Falvella , F. Finelli , O. Forni , M. Frailis , E. Franceschi , T. C. Gaier , S. Galeotta , K. Ganga , M. Giard , G. Giardino , Y. Giraud-Héraud , E. Gjerløw , J. González-Nuevo , K. M. Górski , S. Gratton , A. Gregorio , A. Gruppuso , F. K. Hansen , D. Hanson , D. Harrison , S. Henrot-Versillé , C. Hernández-Monteagudo , D. Herranz , S. R. Hildebrandt , E. Hivon , M. Hobson , W. A. Holmes , A. Hornstrup , W. Hovest , K. M. Huffenberger , A. H. Jaffe , T. R. Jaffe , J. Jewell , W. C. Jones , M. Juvela , P. Kangaslahti , E. Keihänen , R. Keskitalo , K. Kiiveri , T. S. Kisner , J. Knoche , L. Knox , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , M. Lattanzi , R. J. Laureijs , C. R. Lawrence , S. Leach , J. P. Leahy , R. Leonardi , J. Lesgourgues , M. Liguori , P. B. Lilje , M. Linden-Vørnle , V. Lindholm , M. López-Caniego , P. M. Lubin , J. F. Macías-Pérez , G. Maggio , D. Maino , N. Mandolesi , M. Maris , D. J. Marshall , P. G. Martin , E. Martínez-González , S. Masi , M. Massardi , S. Matarrese , F. Matthai , P. Mazzotta , P. R. Meinhold , A. Melchiorri , L. Mendes , A. Mennella , M. Migliaccio , S. Mitra , A. Moneti , L. Montier , G. Morgante , N. Morisset , D. Mortlock , A. Moss , D. Munshi , P. Naselsky , P. Natoli , C. B. Netterfield , H. U. Nørgaard-Nielsen , D. Novikov , I. Novikov , I. J. O'Dwyer , S. Osborne , F. Paci , L. Pagano , R. Paladini , D. Paoletti , B. Partridge , F. Pasian , G. Patanchon , M. Peel , O. Perdereau , L. Perotto , F. Perrotta , E. Pierpaoli , D. Pietrobon , S. Plaszczynski , P. Platania , E. Pointecouteau , G. Polenta , N. Ponthieu , L. Popa , T. Poutanen , G. W. Pratt , G. Prézeau , S. Prunet , J. -L. Puget , J. P. Rachen , W. T. Reach , R. Rebolo , M. Reinecke , M. Remazeilles , S. Ricciardi , T. Riller , G. Robbers , G. Rocha , C. Rosset , M. Rossetti , G. Roudier , J. A. Rubiño-Martín , B. Rusholme , E. Salerno , M. Sandri , D. Santos , D. Scott , M. D. Seiffert , E. P. S. Shellard , L. D. Spencer , J. -L. Starck , V. Stolyarov , R. Stompor , F. Sureau , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , D. Tavagnacco , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , J. Tuovinen , M. Türler , G. Umana , L. Valenziano , J. Valiviita , B. Van Tent , J. Varis , P. Vielva , F. Villa , N. Vittorio , L. A. Wade , B. D. Wandelt , R. Watson , I. K. Wehus , S. D. M. White , A. Wilkinson , D. Yvon , A. Zacchei , A. Zonca

Recently years, the attempts on distilling mobile data into useful knowledge has been led to the deployment of machine learning algorithms at the network edge. Principal component analysis (PCA) is a classic technique for extracting the…

Information Theory · Computer Science 2022-04-04 Zezhong Zhang , Guangxu Zhu , Rui Wang , Vincent K. N. Lau , Kaibin Huang

In the last decade, the study of cosmic microwave background (CMB) data has become one of the most powerful tools to study and understand the Universe. More precisely, measuring the CMB power spectrum leads to the estimation of most…

Astrophysics · Physics 2009-11-13 J. Bobin , Y. Moudden , J. -L. Starck , J. Fadili , N. Aghanim

Component separation is the process with which emission sources in astrophysical maps are generally extracted by taking multi-frequency information into account. It is crucial to develop more reliable methods for component separation for…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-19 J. M. Casas , L. Bonavera , J. González-Nuevo , C. Baccigalupi , M. M. Cueli , D. Crespo , E. Goitia , J. D. Santos , M. L. Sánchez , F. J. de Cos

We use Bayesian component estimation methods to examine the prospects for large-scale polarized map and cosmological parameter estimation with simulated Planck data assuming simplified white noise properties. The sky signal is parametrized…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Charmaine Armitage-Caplan , Joanna Dunkley , Hans Kristian Eriksen , Clive Dickinson

Principal Component Analysis (PCA) is a method for estimating a subspace given noisy samples. It is useful in a variety of problems ranging from dimensionality reduction to anomaly detection and the visualization of high dimensional data.…

Statistics Theory · Mathematics 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

The cosmic infrared background (CIB) is a powerful probe of large-scale structure across a very large redshift range, and consists of unresolved redshifted infrared emission from dusty galaxies. It can be used to study the astrophysics of…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-02 Daniel Lenz , Olivier Doré , Guilaine Lagache

Independent component analysis (ICA) is a widely used BSS method that can uniquely achieve source recovery, subject to only scaling and permutation ambiguities, through the assumption of statistical independence on the part of the latent…

Machine Learning · Statistics 2018-01-29 Zois Boukouvalas

We introduce COBRA (Cosmology with Optimally factorized Bases of Radial Approximants), a novel framework for rapid computation of large-scale structure observables. COBRA separates scale dependence from cosmological parameters in the linear…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-15 Thomas Bakx , Nora Elisa Chisari , Zvonimir Vlah