Improved Measures of Integrated Information

Abstract

Although there is growing interest in measuring integrated information in computational and cognitive systems, current methods for doing so in practice are computationally unfeasible. Existing and novel integration measures are investigated and classified by various desirable properties. A simple taxonomy of Phi-measures is presented where they are each characterized by their choice of factorization method (5 options), choice of probability distributions to compare (3x4 options) and choice of measure for comparing probability distributions (7 options). When requiring the Phi-measures to satisfy a minimum of attractive properties, these hundreds of options reduce to a mere handful, some of which turn out to be identical. Useful exact and approximate formulas are derived that can be applied to real-world data from laboratory experiments without posing unreasonable computational demands.

Replaced to match final accepted version. 21 pages, 5 figs

References in corpus (2)

• An Integration of Integrated Information Theory with Fundamental Physics
• Integrated Information as a Metric for Group Interaction: Analyzing Human and Computer Groups Using a Technique Developed to Measure Consciousness

Cited by in corpus (23)

• A unified framework for information integration based on information geometry
• Measuring Integrated Information: Comparison of Candidate Measures in Theory and Simulation
• The Phi measure of integrated information is not well-defined for general physical systems
• Efficient Algorithms for Searching the Minimum Information Partition in Integrated Information Theory
• Integrated Information as a Metric for Group Interaction: Analyzing Human and Computer Groups Using a Technique Developed to Measure Consciousness
• Astrocyte-induced positive integrated information in neuroglial ensembles
• Towards an extended taxonomy of information dynamics via Integrated Information Decomposition
• Fast and exact search for the partition with minimal information loss
• General anesthesia reduces complexity and temporal asymmetry of the informational structures derived from neural recordings in Drosophila
• Unified framework for the entropy production and the stochastic interaction based on information geometry
• The Global Dynamical Complexity of the Human Brain Network
• Integrated Information in the Spiking-Bursting Stochastic Model
• Unconsciousness reconfigures modular brain network dynamics
• Integrated Information Theory and Isomorphic Feed-Forward Philosophical Zombies
• Integrated information and dimensionality in continuous attractor dynamics
• Simultaneity of consciousness with physical reality: the key that unlocks the mind-matter problem
• Non-separability of Physical Systems as a Foundation of Consciousness
• Towards Quantum Integrated Information Theory
• Toy Models of Top Down Causation
• Is Peirce's reduction thesis gerrymandered?
• Logical reduction of relations: from relational databases to Peirce's reduction thesis
• Computing Integrated Information
• Examining the causal structures of deep neural networks using information theory