Mutual information disentangles interactions from changing environments

Abstract

Real-world systems are characterized by complex interactions of their internal degrees of freedom, while living in ever-changing environments whose net effect is to act as additional couplings. Here, we introduce a paradigmatic interacting model in a switching, but unobserved, environment. We show that the limiting properties of the mutual information of the system allow for a disentangling of these two sources of couplings. Further, our approach might stand as a general method to discriminate complex internal interactions from equally complex changing environments.

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• Hyperaccurate bounds in discrete-state Markovian systems
• Information thermodynamics: from physics to neuroscience
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• Information propagation in Gaussian processes on multilayer networks
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• Mutual information in changing environments: non-linear interactions, out-of-equilibrium systems, and continuously-varying diffusivities
• Derangetropy in Probability Distributions and Information Dynamics
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