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Practical Measures of Integrated Information for Time-Series Data

Adam B. Barrett, Anil K. Seth

PLoS Computational Biology January 20, 2011 DOI: 10.1371/journal.pcbi.1001052 (opens in new tab)

Study at a glance

AI-extracted from the abstract
Characteristics Simulation study Peer reviewed
Keywords Consciousness Series stratigraphy Measure data warehouse Data science Neurocognitive Meaning existential Markov chain Artificial intelligence Machine learning Data mining Theoretical computer science Cognition
Citations 243
Key points Two new measures, Φ(E) and Φ(AR), overcome the practical limitations of Φ(DM) and can be applied to time-series data, enabling broader study of integrated information in real and model systems.

Abstract

A recent measure of 'integrated information', Φ(DM), quantifies the extent to which a system generates more information than the sum of its parts as it transitions between states, possibly reflecting levels of consciousness generated by neural systems. However, Φ(DM) is defined only for discrete Markov systems, which are unusual in biology; as a result, Φ(DM) can rarely be measured in practice. Here, we describe two new measures, Φ(E) and Φ(AR), that overcome these limitations and are easy to apply to time-series data. We use simulations to demonstrate the in-practice applicability of our measures, and to explore their properties. Our results provide new opportunities for examining information integration in real and model systems and carry implications for relations between integrated information, consciousness, and other neurocognitive processes. However, our findings pose challenges for theories that ascribe physical meaning to the measured quantities.