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This is full length article (draft version) where problem number of topics inTopic Modeling is discussed. We proposed idea that Renyi and Tsallis entropycan be used for identification of optimal number in large textual collections.We also report results of numerical experiments of Semantic stability for 4topic models, which shows that semantic stability play very important role inproblem topic number. The calculation of Renyi and Tsallis entropy based onthermodynamics approach.

Application of R\'enyi and Tsallis Entropies to Topic Modeling Optimization