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» A Kernel Statistical Test of Independence
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CORR
2008
Springer
130views Education» more  CORR 2008»
13 years 8 months ago
A Kernel Method for the Two-Sample Problem
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 sample...
Arthur Gretton, Karsten M. Borgwardt, Malte J. Ras...
JMLR
2010
124views more  JMLR 2010»
13 years 2 months ago
Consistent Nonparametric Tests of Independence
Three simple and explicit procedures for testing the independence of two multi-dimensional random variables are described. Two of the associated test statistics (L1, log-likelihoo...
Arthur Gretton, László Györfi
NIPS
2008
13 years 9 months ago
Kernel Measures of Independence for non-iid Data
Many machine learning algorithms can be formulated in the framework of statistical independence such as the Hilbert Schmidt Independence Criterion. In this paper, we extend this c...
Xinhua Zhang, Le Song, Arthur Gretton, Alex J. Smo...
DAGSTUHL
2006
13 years 9 months ago
Application of Kolmogorov complexity and universal codes to identity testing and nonparametric testing of serial independence fo
We show that Kolmogorov complexity and such its estimators as universal codes (or data compression methods) can be applied for hypothesis testing in a framework of classical mathe...
Boris Ryabko, Jaakko Astola, Alexander Gammerman
JMLR
2002
160views more  JMLR 2002»
13 years 7 months ago
Kernel Independent Component Analysis
We present a class of algorithms for independent component analysis (ICA) which use contrast functions based on canonical correlations in a reproducing kernel Hilbert space. On th...
Francis R. Bach, Michael I. Jordan