%0 Journal Article
%T VC dimension of ellipsoids
%A Yohji Akama
%A Kei Irie
%J Computer Science
%D 2011
%I arXiv
%X We will establish that the VC dimension of the class of d-dimensional ellipsoids is (d^2+3d)/2, and that maximum likelihood estimate with N-component d-dimensional Gaussian mixture models induces a geometric class having VC dimension at least N(d^2+3d)/2. Keywords: VC dimension; finite dimensional ellipsoid; Gaussian mixture model
%U http://arxiv.org/abs/1109.4347v1