A Kernel Method for the Two-Sample-Problem
2007
Conference Paper
ei
We propose two statistical tests to determine if two samples are from different distributions. Our test statistic is in both cases the distance between the means of the two samples mapped into a reproducing kernel Hilbert space (RKHS). The first test is based on a large deviation bound for the test statistic, while the second is based on the asymptotic distribution of this statistic. The test statistic can be computed in $O(m^2)$ time. We apply our approach to a variety of problems, including attribute matching for databases using the Hungarian marriage method, where our test performs strongly. We also demonstrate excellent performance when comparing distributions over graphs, for which no alternative tests currently exist.
Author(s): | Gretton, A. and Borgwardt, KM. and Rasch, M. and Schölkopf, B. and Smola, A. |
Book Title: | Advances in Neural Information Processing Systems 19 |
Journal: | Advances in Neural Information Processing Systems 19: Proceedings of the 2006 Conference |
Pages: | 513-520 |
Year: | 2007 |
Month: | September |
Day: | 0 |
Editors: | B Sch{\"o}lkopf and J Platt and T Hofmann |
Publisher: | MIT Press |
Department(s): | Empirische Inferenz |
Bibtex Type: | Conference Paper (inproceedings) |
Event Name: | 20th Annual Conference on Neural Information Processing Systems (NIPS 2006) |
Event Place: | Vancouver, BC, Canada |
Address: | Cambridge, MA, USA |
Digital: | 0 |
ISBN: | 0-262-19568-2 |
Language: | en |
Organization: | Max-Planck-Gesellschaft |
School: | Biologische Kybernetik |
Links: |
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BibTex @inproceedings{4193, title = {A Kernel Method for the Two-Sample-Problem}, author = {Gretton, A. and Borgwardt, KM. and Rasch, M. and Sch{\"o}lkopf, B. and Smola, A.}, journal = {Advances in Neural Information Processing Systems 19: Proceedings of the 2006 Conference}, booktitle = {Advances in Neural Information Processing Systems 19}, pages = {513-520}, editors = {B Sch{\"o}lkopf and J Platt and T Hofmann}, publisher = {MIT Press}, organization = {Max-Planck-Gesellschaft}, school = {Biologische Kybernetik}, address = {Cambridge, MA, USA}, month = sep, year = {2007}, doi = {}, month_numeric = {9} } |