Flexibility, defined as EI(joint) minus EI(system) minus EI(environment) under uniform interventions, is PID synergistic information and correlates with complex adaptive features like feedback loops and the edge of chaos.
Proof 3 According to the definition of EI, EI (PX t→X t+1) = I( ˜X t; ˜X t+1), (C11) 22 while still satisfying do(X t, Et ∼ U(ΩX,E))
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Quantifying system-environment synergistic information by effective information decomposition
Flexibility, defined as EI(joint) minus EI(system) minus EI(environment) under uniform interventions, is PID synergistic information and correlates with complex adaptive features like feedback loops and the edge of chaos.