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Scalable Algorithms for Fast Analysis of Megapixel CMB Maps and Large Astronomical Databases
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| We propose to develop a suite of algorithms for spatial statistical analyses of future large astronomical data bases, such a megapixel CMB maps, galaxy catalogs, or any point source catalog. We will tackle hitherto unsolved computational challenges with high accuracy, such as: i) fast simulation of correlation functions and angular power spectra, ii) fast estimation of $n$-point correlation functions and iii) counts in cells statistics in from large CMB maps, angular, redshift and weak lensing surveys. We develop a unique interdisciplinary approach for algorithmic development, in which we reformulate the statistical problems arising in space astronomy with special attention to computational needs. This approach heavily relies on blending the principles of astronomy, statistics, computer and computational science, and balances statistical accuracy vs. practical computability. |
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