A Principled Infotheoretic ϕ-like Measure

Abstract

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

arXiv comment18 pages; 6 figures