Marginal Polytope of a Deformed Exponential Family

Abstract

A deformed logarithm function called $q$-logarithm has received considerable attention by physicist after its introduction by C. Tsallis. J. Naudts has proposed a generalization called $\varphi$-logarithm and he has derived the basic properties of $\varphi$-exponential families. In this paper we study the related notion of marginal polytope in the case of a finite state space.

Submitted

References in corpus (1)

• $\kappa$-exponential models from the geometrical viewpoint

Cited by in corpus (1)

• The exponential family in abstract information theory