Conditioning in tropical probability theory

2019/05/08 by Matveev, Rostislav, Portegies, Jacobus W.
#FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Probability (math.PR)

paper · doi:10.48550/arxiv.1905.05596

Abstract

We define a natural operation of conditioning of tropical diagrams of probability spaces and show that it is Lipschitz continuous with respect to the asymptotic entropy distance.

Related

• Tropical diagrams of probability spaces
• Tropical probability theory and an application to the entropic cone
• Tropical Limits of Probability Spaces, Part I: The Intrinsic Kolmogorov-Sinai Distance and the Asymptotic Equipartition Property for Configurations
• Arrow Contraction and Expansion in Tropical Diagrams
• The tropicalization of the entropic barrier