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Gray - Computational Mathematics for Large-scale Data...

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Computational Mathematics for Large-scale Data Analysis Alexander Gray Georgia Institute of Technology College of Computing FASTlab: Fundamental Algorithmic and Statistical Tools Laboratory
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The FASTlab F undamental A lgorithmic and S tatistical T ools Laboratory 1. Arkadas Ozakin: Research scientist , PhD Theoretical Physics 2. Dong Ryeol Lee: PhD student , CS + Math 3. Ryan Riegel: PhD student , CS + Math 4. Parikshit Ram: PhD student , CS + Math 5. William March: PhD student , Math + CS 6. James Waters: PhD student , Physics + CS 7. Hua Ouyang: PhD student , CS 8. Sooraj Bhat: PhD student , CS 9. Ravi Sastry: PhD student , CS 10. Long Tran: PhD student , CS 11. Michael Holmes: PhD student , CS + Physics (co-supervised) 12. Nikolaos Vasiloglou: PhD student , EE (co-supervised) 13. Wei Guan: PhD student , CS (co-supervised) 14. Nishant Mehta: PhD student , CS (co-supervised) 15. Wee Chin Wong: PhD student , ChemE (co-supervised) 16. Abhimanyu Aditya: MS student , CS 17. Yatin Kanetkar: MS student , CS 18. Praveen Krishnaiah: MS student , CS 19. Devika Karnik: MS student , CS 20. Prasad Jakka: MS student , CS
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Exponential growth in dataset sizes 1990 COBE 1,000 2000 Boomerang 10,000 2002 CBI 50,000 2003 WMAP 1 Million 2008 Planck 10 Million Data: CMB Maps Data: Local Redshift Surveys 1986 CfA 3,500 1996 LCRS 23,000 2003 2dF 250,000 2005 SDSS 800,000 Data: Angular Surveys 1970 Lick 1M 1990 APM 2M 2005 SDSS 200M 2010 LSST 2B Instruments 1.0E+02 1.0E+03 1.0E+04 1.0E+05 1.0E+06 1.0E+07 1985 1990 1995 2000 2005 2010 [ Science , Szalay & J. Gray, 2001]
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1.How did galaxies evolve? 2.What was the early universe like? 3.Does dark energy exist? 4.Is our model (GR+inflation) right? Astrophysicist Machine learning/ statistics guy R. Nichol, Inst. Cosmol. Gravitation A. Connolly, U. Pitt Physics C. Miller, NOAO R. Brunner, NCSA G. Djorgovsky , Caltech G. Kulkarni, Inst. Cosmol. Gravitation D. Wake, Inst. Cosmol. Gravitation R. Scranton, U. Pitt Physics M. Balogh, U. Waterloo Physics . Szapudi, U. Hawaii Inst. Astronomy G. Richards, Princeton Physics A. Szalay, Johns Hopkins Physics
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1.How did galaxies evolve? 2.What was the early universe like? 3.Does dark energy exist? 4.Is our model (GR+inflation) right? Astrophysicist Machine learning/ statistics guy O(N n ) O(N 2 ) O(N 2 ) O(N 2 ) O(N 2 ) O(N 3 ) O(c D T(N)) R. Nichol, Inst. Cosmol. Grav. A. Connolly, U. Pitt Physics C. Miller, NOAO R. Brunner, NCSA G. Djorgovsky, Caltech G. Kulkarni, Inst. Cosmol. Grav. D. Wake, Inst. Cosmol. Grav. R. Scranton, U. Pitt Physics M. Balogh, U. Waterloo Physics . Szapudi, U. Hawaii Inst. Astro. G. Richards, Princeton Physics A. Szalay, Johns Hopkins Physics Kernel density estimator n-point spatial statistics Nonparametric Bayes classifier Support vector machine Nearest-neighbor statistics Gaussian process regression Hierarchical clustering
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R. Nichol, Inst. Cosmol. Grav. A. Connolly, U. Pitt Physics C. Miller, NOAO R. Brunner, NCSA G. Djorgovsky, Caltech G. Kulkarni, Inst. Cosmol. Grav. D. Wake, Inst. Cosmol. Grav. R. Scranton, U. Pitt Physics M. Balogh, U. Waterloo Physics . Szapudi, U. Hawaii Inst. Astro.
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