Bayes classifiers of three-dimensional rotations and the sphere with symmetries
We derive the Bayes classification rule for two rotation distributions in three dimensions which are shifts of a common conjugation-invariant distribution, and for the two distributions on the sphere which are obtained by applying rotations of this kind to the north pole of the sphere. Bayes classif...
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Format: | Article in Journal/Newspaper |
Language: | unknown |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S0167715212004713 |
Summary: | We derive the Bayes classification rule for two rotation distributions in three dimensions which are shifts of a common conjugation-invariant distribution, and for the two distributions on the sphere which are obtained by applying rotations of this kind to the north pole of the sphere. Bayes classifier; Spherical symmetry; Statistics on manifolds; |
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