Distance correlation methods for discovering associations in large astrophysical databases

Astrophysical Journal

Volumn 781, Issue 1, 2014, Pages

  Martínez Gómez, Elizabeth ^a   Richards, Mercedes T ^b,c   Richards, Donald St P ^b,c  

^a INSTITUTO TECNOLÓGICO AUTÓNOMO DE MÉXICO   (Mexico)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

catalogs; galaxies: clusters: general; galaxies: evolution; galaxies: statistics; methods: statistical; surveys

Indexed keywords

EID: 84891862377     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1088/0004-637X/781/1/39     Document Type: Article

References (36)

1. Bell, E. F., Wolf, C., & Meisenheimer, K. et al. 2004, ApJ, 608, 752 (Pubitemid 38926437)
2. Cover, T. M. & Thomas, J. A. 1991, Entropy, Relative Entropy and Mutual Information in Elements of Information (New York: Wiley)
3. Diaconis, P., Goel, S., & Holmes, S. 2008, AnApS, 2, 777
4. Dueck, J., Edelmann, D., Gneiting, T., & Richards, D. 2014, Bernoulli, arXiv:1210.2482, in press
5. Gray, M. E., Taylor, A. N., & Meisenheimer, K. et al. 2002, ApJ, 568, 141 (Pubitemid 37117674)
6. Gray, M. E., Wolf, C., & Meisenheimer, K. et al. 2004, MNRAS, 347, L73 (Pubitemid 38191811)
7. Gromenko, O., Kokoszka, P., Zhu, L., & Sojka, J. 2012, AnApS, 6, 669
8. Hirschfeld, H. O. 1935, MPCPS, 31, 520
9. Izenman, A. J. 2008, Modern Multivariate Statistical Techniques: Regression, Classification, and Manifold Learning (New York: Springer), 215
10. Kendall, D. G. 1970, RSPTA, 269, 125
11. Kendall, M. G. 1938, Biometrika, 30, 81
12. Kinney, A. L., Calzetti, D., & Bohlin, R. C. et al. 1996, ApJ, 467, 38 (Pubitemid 126107303)
13. Kinney, J. B. & Atwal, G. S. 2013, arXiv:1301.7745
14. Kleinheinrich, M., Rix, H.-W., & Schneider, P. et al. 2005, Impact of Gravitational Lensing on Cosmology (IAU Symp. 225), ed. Y. Mellier & G. Meylan (New York: Cambridge Univ. Press), 249
15. Pearson, K. 1895, RSPS, 58, 240
16. Racherla, P. N., Shindell, D. T., & Faluvegi, G. S. 2012, JGR, 117, D20118
17. Rényi, A. 1959, Acta Math. Acad. Sci. Hungarica, 10, 441
18. Reshef, D. & Reshef, Y. 2013, MINE: Maximal Information-based Nonparametric Exploration, http://www.exploredata.net/Usage-instructions
19. Reshef, D. N., Reshef, Y. A., & Finucane, H. et al. 2011, Sci, 334, 1518
20. Richards, D. St. P. 2006, Lectures on Multivariate Analysis, http://www.stat.psu.edu/∼richards/talks/astro-talks.html
21. Rizzo, M. L. & Székely, G. J. 2013, Energy Statistics R-package, http://cran.us.r-project.org/web/packages/energy/index.html
22. Schweizer, B. & Wolff, E. F. 1981, AnSta, 9, 879
23. Sejdinovic, D., Sriperumbudur, B., Gretton, A., & Fukumizu, K. 2013, AnSta, 41, 2263
24. Shannon, C. E. & Weaver, W. 1949, The Mathematical Theory of Communication (Urbana: Univ. Illinois Press)
25. Simon, N. & Tibshirani, R. 2012, http://www-stat.stanford.edu/ ∼tibs/reshef/comment.pdf
26. Spearman, C. 1904, Am. J. Psychol., 15, 72
27. Sriperumbudur, B. K., Fukumizu, K., & Lanckriet, G. R. G. 2011, J. Mach. Learn. Res., 12, 2389
28. Székely, G. J. & Rizzo, M. 2009, AnApS, 3, 1236
29. Székely, G. J. & Rizzo, M. 2012, Statist. Probab. Lett., 82, 2278
30. Székely, G. J. & Rizzo, M. 2013, J. Multivariate Anal., 117, 193
31. Székely, G. J., Rizzo, M. L., & Bakirov, N. K. 2007, AnSta, 35, 2769
32. Wolf, C., Hildebrandt, H., Taylor, E. N., & Meisenheimer, K. 2008, A&A, 492, 933
33. Wolf, C., Meisenheimer, K., & Kleinheinrich, M. et al. 2004, A&A, 421, 913
34. Wolf, C., Meisenheimer, K., & Rix, H.-W. et al. 2003a, A&A, 401, 73
35. Wolf, C., Wisotzki, L., & Borch, A. et al. 2003b, A&A, 408, 499
36. Zhong, J., DiDonato, N., & Hatcher, P. G. 2012, J. Chemometrics, 26, 150