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» Consistent Nonparametric Tests of Independence
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JMLR
2010
124views more  JMLR 2010»
13 years 5 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
ALT
2008
Springer
14 years 7 months ago
Nonparametric Independence Tests: Space Partitioning and Kernel Approaches
Abstract. 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-...
Arthur Gretton, László Györfi
DAGSTUHL
2006
14 years 7 days 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
ICML
2010
IEEE
13 years 12 months ago
Clustering processes
The problem of clustering is considered, for the case when each data point is a sample generated by a stationary ergodic process. We propose a very natural asymptotic notion of co...
Daniil Ryabko
TIT
1998
63views more  TIT 1998»
13 years 10 months ago
On the Consistency of Minimum Complexity Nonparametric Estimation
— Nonparametric estimation is usually inconsistent without some form of regularization. One way to impose regularity is through a prior measure. Barron and Cover [1], [2] have sh...
Zhiyi Chi, Stuart Geman