Vishy Vishwanathan and Alex Smola
In: NIPS, 17, 2004, Canada(2004).
We propose a family of kernels based on the Binet-Cauchy theorem and its extension
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.