JSAI Technical Report, Type 2 SIG
Online ISSN : 2436-5556
GAUSSIAN MIXTURE MODELS AND VC DIMENSIONS
YOHJI AKAMA
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RESEARCH REPORT / TECHNICAL REPORT FREE ACCESS

2009 Volume 2009 Issue DMSM-A901 Pages 08-

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Abstract

We will establish the VC dimension of the class of translated ellipsoids in d-dimensional Euclidean space is between (d/2+1)2 and (6.53486 ・ ・ ・ )(d2+3d). By this, (d/2+1)2 turns out to be a lower bound of the VC dimension of the concept class that N-component Gaussian mixture models induce through maximum likelihood estimate.

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