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RSS FeedsEntropy, Vol. 24, Pages 1736: Extended Divergence on a Foliation by Deformed Probability Simplexes (Entropy)

 
 

28 november 2022 13:57:57

 
Entropy, Vol. 24, Pages 1736: Extended Divergence on a Foliation by Deformed Probability Simplexes (Entropy)
 


This study considers a new decomposition of an extended divergence on a foliation by deformed probability simplexes from the information geometry perspective. In particular, we treat the case where each deformed probability simplex corresponds to a set of q-escort distributions. For the foliation, different q-parameters and the corresponding α-parameters of dualistic structures are defined on each of the various leaves. We propose the divergence decomposition theorem that guides the proximity of q-escort distributions with different q-parameters and compare the new theorem to the previous theorem of the standard divergence on a Hessian manifold with a fixed α-parameter.


 
49 viewsCategory: Informatics, Physics
 
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