JuliaDynamics/ComplexityMeasures.jl

Implement `entropy_maximum` for `Kaniadakis` entropy

オープン

#183 opened on 2022/12/16

 (0 件のコメント) (0 件のリアクション) (0 人の担当者)Julia (19 件のフォーク)auto 404
enhancementhelp wanted

Repository metrics

Stars
 (79 個のスター)
PR merge metrics
 (PR metrics pending)

説明

Describe the feature you'd like to have

In #182 the Kaniadakis entropy was introduced. However, the book which gives the formula doesn't state for which discrete probability distribution it is maximised, so entropy_maximum just throws an error for now.

It would be nice to be able to compute the maximum discrete Kaniadakis entropy too.

Cite scientific papers related to the feature/algorithm

The formula for the maximum Kaniadakis entropy as a function of the number of samples is probably given in the literature somewhere, but I haven't seen it yet. A good starting point is to follow the references in Tsallis (2009) book, which gives the definition of Kaniadakis entropy.

Tsallis, C. (2009). Introduction to nonextensive statistical mechanics: approaching a complex world. Springer, 1(1), 2-1.

コントリビューターガイド