Compact Lie Groups (Graduate Texts in Mathematics)

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Language: English

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If you're asked "Is an ellipsoid spherically symmetric?", what is to stop you rescaling your notion of distance along two of the three axes of the ellipsoid, making it spherical and then flicking to spherical coordinates and saying "Yes, it is!". Sun-Ichi Amari, who is the leader of a large and impressive Japanese school of information-geometers, has a nice result (in, e.g., his "Hierarchy of Probability Distributions" paper) showing that maximum entropy distributions are, exactly, the ones with minimal interaction between their variables --- the ones which approach most closely to independence.

Pages: 201

Publisher: Springer; 2007 edition (December 19, 2006)

ISBN: 0387302638

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