On $w$-mixtures: Finite convex combinations of prescribed component distributions

2 Aug 2017 Frank Nielsen Richard Nock

We consider the space of $w$-mixtures which is defined as the set of finite statistical mixtures sharing the same prescribed component distributions closed under convex combinations. The information geometry induced by the Bregman generator set to the Shannon negentropy on this space yields a dually flat space called the mixture family manifold... (read more)

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