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Independent component analysis (ICA) is a method for recovering statistically independent signals from observations of unknown linear combinations of the sources. Some of the most accurate ICA decomposition methods require searching for the…

Machine Learning · Statistics 2016-09-23 Matan Sela , Ron Kimmel

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

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

Analysis of microwave sky signals, such as the cosmic microwave background, often requires component separation with multi-frequency methods, where different signals are isolated by their frequency behaviors. Many so-called "blind" methods,…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-02 Fiona McCarthy , J. Colin Hill , William R. Coulton , David W. Hogg

Fundamental information about the Universe is encoded in anisotropies of the Cosmic Microwave Background (CMB) radiation. To make full use of this information, an experiment must image the entire sky with the angular resolution,…

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

We present a data analysis pipeline for CMB polarization experiments, running from multi-frequency maps to the power spectra. We focus mainly on component separation and, for the first time, we work out the covariance matrix accounting for…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-14 S. Ricciardi , A. Bonaldi , P. Natoli , G. Polenta , C. Baccigalupi , E. Salerno , K. Kayabol , L. Bedini , G. De Zotti

The full sky cosmic microwave background polarization field can be decomposed into 'electric' (E) and 'magnetic' (B) components that are signatures of distinct physical processes. We give a general construction that achieves separation of E…

Astrophysics · Physics 2009-11-07 Antony Lewis

In this paper, we present a foreground analysis of the WMAP 5-year data using the FASTICA algorithm, improving on the treatment of the WMAP 3-year data in Bottino et al 2008. We revisit the nature of the free-free spectrum with the emphasis…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 M. Bottino , A. J. Banday , D. Maino

Independent component analysis is commonly applied to functional magnetic resonance imaging (fMRI) data to extract independent components (ICs) representing functional brain networks. While ICA produces reliable group-level estimates,…

Methodology · Statistics 2020-06-05 Amanda F. Mejia , David Bolin , Yu Ryan Yue , Jiongran Wang , Brian S. Caffo , Mary Beth Nebel

The full sky cosmic microwave background polarization field can be decomposed into 'electric' and 'magnetic' components. Working in harmonic space we construct window functions that allow clean separation of the electric and magnetic modes…

Astrophysics · Physics 2009-11-06 Antony Lewis , Anthony Challinor , Neil Turok

In this paper we present a combined strategy for the retrieval of atmospheric profiles from infrared sounders. The approach considers the spatial information and a noise-dependent dimensionality reduction approach. The extracted features…

Signal Processing · Electrical Eng. & Systems 2020-12-11 David Malmgren-Hansen , Valero Laparra , Allan Aasbjerg Nielsen , Gustau Camps-Valls

We perform a blind multi-component analysis of the WMAP 1 year foreground cleaned maps using SMICA (Spectral Matching Independent Component Analysis). We provide a new estimate of the CMB power spectrum as well as the amplitude of the CMB…

Astrophysics · Physics 2009-11-10 G. Patanchon , J. -F. Cardoso , J. Delabrouille , P. Vielva

A fundamental challenge in acoustic data processing is to separate a measured time series into relevant phenomenological components. A given measurement is typically assumed to be an additive mixture of myriad signals plus noise whose…

Signal Processing · Electrical Eng. & Systems 2023-05-10 Geoff Goehle , Benjamin Cowen , Thomas E. Blanford , J. Daniel Park , Daniel C. Brown

Integral field spectroscopy can map astronomical objects spatially and spectroscopically. Due to instrumental and atmospheric effects, it is common for integral field instruments to yield a sampling of the sky image that is both irregular…

Astrophysics of Galaxies · Physics 2020-01-08 Dou Liu , Michael R. Blanton , David R. Law

We have developed a fast, accurate and generally applicable method for inferring the power spectrum and its uncertainties from maps of the cosmic microwave background (CMB) in the presence of inhomogeneous and correlated noise. For maps…

Astrophysics · Physics 2014-10-13 O. Doré , L. Knox , A. Peel

The cosmic microwave background (CMB), carrying the inhomogeneous information of the very early universe, is of great significance for understanding the origin and evolution of our universe. However, observational CMB maps contain serious…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-12 Guo-Jian Wang , Hong-Liang Shi , Ye-Peng Yan , Jun-Qing Xia , Yan-Yun Zhao , Si-Yu Li , Jun-Feng Li

Foreground contamination is the fundamental hindrance to the cosmic microwave background (CMB) signals and its separation from it represents a fundamental question in Cosmology. One of the most popular algorithm used to disentangle…

Astrophysics · Physics 2008-11-27 R. Vio , P. Andreani

Primordial B-mode detection is one of the main goals of current and future cosmic microwave background (CMB) experiments. However, the weak B-mode signal is overshadowed by several Galactic polarized emissions, such as thermal dust emission…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-18 Ye-Peng Yan , Guo-Jian Wang , Si-Yu Li , Jun-Qing Xia

Szapudi et al (2001) introduced the method of estimating angular power spectrum of the CMB sky via heuristically weighted correlation functions. Part of the new technique is that all (co)variances are evaluated by massive Monte Carlo…

Astrophysics · Physics 2007-05-23 I. Szapudi , S. Prunet , S. Colombi