Weak Markov Blankets in High-Dimensional, Sparsely-Coupled Random Dynamical Systems

2022/07/15 by Sakthivadivel, Dalton A R · 1 citation
#93E03 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 60K35 #Probability (math.PR) #Secondary 82M60 #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2207.07620

Abstract

This paper formulates a notion of high-dimensional random dynamical systems that couple to another system, like an embedding environment, in such a way that each system engages in controlled exchange with the other system. Using the adiabatic theorem and asymptotic arguments about the behaviour of systems with many degrees of freedom, we show that this sort of controlled, but not strictly sparse, coupling structure is ubiquitous in high-dimensional systems. In doing so we prove a conjecture of K Friston.

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• Markov Blanket Density and Free Energy Minimization

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