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A Principled Infotheoretic \phi-like Measure

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arxiv 1401.0978 v3 pith:D6WDG55W submitted 2014-01-06 cs.IT math.IT

classification cs.ITmath.IT
keywords measuretheoryinformationirreducibilityaddressescomputeconcernsconscious
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abstract

Integrated information theory is a mathematical, quantifiable theory of conscious experience. The linchpin of this theory, the $\phi$ measure, quantifies a system's irreducibility to disjoint parts. Purely as a measure of irreducibility, we pinpoint three concerns about $\phi$ 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 $\phi$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Beyond integrated information: A taxonomy of information dynamics phenomena

    q-bio.NC 2019-09 conditional novelty 8.0 of 10

    ΦID decomposes the mutual information between the past and future states of a bivariate Markov process into sixteen atoms, showing that integrated information measures blend distinct dynamical modes such as storage, t...

  2. Quantifying Spacetime Integration across a Partition with Synergy

    cs.IT 2026-04 unverdicted novelty 7.0 of 10

    Synergy-based measures of spacetime integration outperform current IIT practice when tested on simple deterministic networks.

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