PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Binet-Cauchy kernels
S V N Vishwanathan and Alex Smola
In: NIPS 2004, December 2004, Vancouver, Canada.


We propose a family of kernels based on the Binet-Cauchy theorem and its ex- tension to Fredholm operators. This includes as special cases all currently known kernels derived from the behavioral framework, diffusion processes, marginalized kernels, kernels on graphs, and the kernels on sets arising from the subspace angle approach. Many of these kernels can be seen as the extrema of a new continuum of kernel functions, which leads to numerous new special cases. As an application, we apply the new class of kernels to the problem of clustering of video sequences with encouraging results.

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EPrint Type:Conference or Workshop Item (Paper)
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Machine Vision
Learning/Statistics & Optimisation
Theory & Algorithms
ID Code:2035
Deposited By:Alex Smola
Deposited On:16 January 2006