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Regularization of Kernel Methods by Decreasing the Bandwidth of the Gaussian Kernel

Published on Jun 11, 20076190 Views

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Regularization of Kernel Methods by Decreasing the <br>Bandwidth of the Gaussian Kernel00:00
Outline01:12
Gaussian kernel and RKHS01:25
Gaussian kernel and RKHS 0102:47
Gaussian RKHS03:11
Learning in Gaussian RKHS04:47
Motivation 1: The effect of regularization06:04
Motivation 1: The effect of regularization 0114:37
Motivation 2: One-class SVM16:17
Outline21:37
Setting and notations21:57
Intuitive behavior23:44
Intuitive behavior 0125:15
Main result: consistency25:55
Main result: consistency 0127:02
Main result: asymptotic shape27:36
Main result: asymptotic shape 0128:01
Application: two-class SVM28:27
Application: two-class SVM 0129:17
Application: one-class SVM29:18
Conclusion30:41