A Principled Infotheoretic ϕ-like Measure

Integrated information theory is a mathematical, quantifiable theory of conscious experience. The linchpin of this theory, the $ϕ$ measure, quantifies a system's irreducibility to disjoint parts. Purely as a measure of irreducibility, we pinpoint three concerns about $ϕ$ and propose a revised measure, $ψ$, which addresses them. Our measure $ψ$ is rigorously grounded in Partial Information Decomposition and is faster to compute than $ϕ$.

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