Multiple kernel learning for multiple sources

author:Francis R. Bach, INRIA - WILLOW Project-Team
published: Dec. 20, 2008,   recorded: December 2008,   views: 318
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Slides

Slides
0:00 Multiple kernel learning for multiple sources
0:34 Talk outline
1:13 Machine learning for computer vision Learning tasks on images
1:53 Image retrieval (1)
2:28 Image retrieval (2)
2:46 Personal photos
3:43 Multiple sources in computer vision
4:36 Kernels for interest points
5:05 Kernels for texture
5:21 Kernels from segmentation graphs
6:10 Segmentation by watershed transform
6:27 Image as a segmentation graph
7:09 Talk outline
7:44 Multiple sources by combining kernels (1)
8:27 Multiple sources by combining kernels (2)
9:30 Multiple kernel learning
10:23 Regularization for multiple kernels (1)
10:59 Regularization for multiple kernels (2)
12:17 General kernel learning
13:41 MKL - equivalence with other kernel learning formulations (Bach et al., 2004a)
15:02 Algorithms for MKL
17:13 Summing kernels vs. optimizing weights
19:22 Performance on Corel14
19:47 Performance on Corel14 - Error rates
21:30 Caltech101 database (Fei-Fei et al., 2006)
21:54 Kernel combination for Caltech101
23:42 Talk outline
23:50 Analysis of MKL as non parametric group Lasso (1)
25:55 (non centered) covariance operators
27:43 Cross-covariance operators
28:24 Covariance operators for multiple sources
29:37 Analysis of MKL as non parametric group Lasso (2)
30:21 Compacity and invertibility of joint correlation operator
31:36 Group lasso - Consistency conditions
33:25 Conclusion - Interesting problems/issues
39:43 - Questions
43:07 References (1)
43:12 References (2)
43:14 - Questions

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Description

In this talk, I will consider the problem of learning a predictor from multiple sources of information, a situation common in many domains such as computer vision or bioinformatics. I will focus primarily on the multiple kernel learning framework, which amounts to consider one positive definite kernel for each source of information. Natural unanswered questions arise in this context, namely: Can one learn from infinitely many sources? Should one prefer closely related sources, or very different sources? Is it worth considering a large kernel-induced feature space as multiple sources?

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