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math.DG2021
A Hall of Statistical Mirrors
Gabriel Khan, Jun Zhang
The primary objects of study in information geometry are statistical manifolds, which are parametrized families of probability measures, induced with the Fisher-Rao metric and a pa…
math.PR2021★ 1 cited
Tsallis and Rényi deformations linked via a new -duality
Ting-Kam Leonard Wong, Jun Zhang
Tsallis and Rényi entropies, which are monotone transformations of each other, are deformations of the celebrated Shannon entropy. Maximization of these deformed entropies, under s…