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Machine Learning Summer School 2006 - Taipei
Pascal

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

author: Jean-Philippe Vert, Ecole des Mines de Paris - Paris Tech
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Slides
0:00 Regularization of Kernel Methods by Decreasing the
Bandwidth of the Gaussian Kernel
1:12 Outline
1:25 Gaussian kernel and RKHS
2:47 Gaussian kernel and RKHS 01
3:11 Gaussian RKHS
4:47 Learning in Gaussian RKHS
6:04 Motivation 1: The effect of regularization
14:37 Motivation 1: The effect of regularization 01
16:17 Motivation 2: One-class SVM
21:37 Outline
21:57 Setting and notations
23:44 Intuitive behavior
25:15 Intuitive behavior 01
25:55 Main result: consistency
27:02 Main result: consistency 01
27:36 Main result: asymptotic shape
28:01 Main result: asymptotic shape 01
28:27 Application: two-class SVM
29:17 Application: two-class SVM 01
29:18 Application: one-class SVM
30:41 Conclusion

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