The Complex Geometry and Representation Theory of Statistical Transformation Models
Shuhao Li
Abstract:Given a measure space X , we can construct a number of induced structures: eg. its L 2 space, the space P(X ) of probability distributions on X . If, in addition, X admits a transitive measure-preserving Lie group action, natural actions are induced on those structures. We expect relationships between these induced structures and actions. We study, in particular, the relations between L 2 (X ) and exponential transformation models on X , which are special "submanifolds" of P(X ) closed under the induced action… Show more
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