Characteristic Kernels on Groups and Semigroups
K. Fukumizu (ISM), B. Sriperumbudur (UCSD/MPI), A. Gretton and B. Schölkopf (MPI)

W34

Q: What type of kernels are suitable for statistical inference? should incorporate all the information on probabilities of data characteristic kernel
Kernels

of the characteristic property are derived for kernels invariant with (semi)group action. Harmonic (Fourier) analysis is applied.
Conditions

Euclidean space (Abelian group)

SO(3) (rotations) (compact group)

Histograms (Abelian semigroup)