Regularization of Kernel Methods by Decreasing the Bandwidth of the Gaussian Kernel
author:
Jean-Philippe Vert,
Ecole des Mines de Paris - Paris Tech
Categories
Top: Computer Science: Machine Learning: Kernel MethodsTop: Computer Science: Machine Learning: Gaussian Processes
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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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