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Machine Learning Summer School 2007 - Tuebingen
Pascal

Kernel Methods for Dependence and Causality

author: Kenji Fukumizu, Institute of Statistical Mathematics
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Slides
0:00 III. Covariance on RKHS
0:00 III. Covariance on RKHS
0:18 Two Views on Kernel Methods
2:16 Covariance on RKHS
4:56 Cross-covariance operator
7:33 Intuition
11:34 Addendum on “operator”
12:10 Characterization of Independence
17:29 Measures for Dependence
19:19 Norms of operators
22:57 Empirical Estimation
25:12 Empirical cross-covariance operator
26:08 COCO Revisited
27:07 HSIC Revisited
28:28 Application of HSIC to ICA
31:02 ICA with HSIC
32:15 Experiments (speech signal)
35:15 Normalized Covariance
35:54 HSIC Revisited
36:28 Nonlinear dependence

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