article (academic thesis): Group theoretical methods in machine learning

Here is the link.

keywords:

[taxonomy of groups]

[decomposing groups]

[G-modules and group algebras]

[group actions and homogeneous spaces]

[Lie groups]

[Representation Theory]

[Character Theory and abelian groups]

[restricted and induced representations]

[the symmetric group]

[the general linear group]

[the classical Fourier transforms]

[Fourier analysis on groups]

[spectral analysis on finite groups]

[factorial designs]

[analysis of data on the symmetric group]

[Hilbert space learning algorithms]

[learning permutations]

[multi-object tracking]

[invariant functionals]

[invariant features for images]

[the structure of the underlying space]

[the science of data]