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We show a relationship between the entropy production in stochasticthermodynamics and the stochastic interaction in the information integratedtheory. To clarify this relationship, we newly introduce an informationgeometric interpretation of the entropy production for a total system and thepartial entropy productions for subsystems. We show that the violation of theadditivity of the entropy productions is related to the stochastic interaction.This framework is a thermodynamic foundation of the integrated informationtheory. We also show that our information geometric formalism leads to a novelexpression of the entropy production related to an optimization problemminimizing the Kullback-Leibler divergence. We analytically illustrate thisinterpretation by using the spin model.

Unified framework for the entropy production and the stochastic interaction based on information geometry