The authors establish an impossibility theorem for lattice-based PID beyond three sources and introduce alternative measures of multivariate unique and synergistic information using dependency-eliminating random variable systems.
Beyond integrated information: A t axonomy of information dynamics phenomena
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Provides the first explicit formula for partial information decomposition atoms satisfying Williams and Beer's axioms via a novel do-operation.
Information defined as maximum-caliber deviation derives IIT 3.0 cause-effect repertoires from constrained entropy maximization and equates to prediction error under CLT and LDT.
Introduces M-information as a scalable measure of higher-order information integration in multivariate time series, computed via convex optimization and tested on neuronal and neuroimaging data.
citing papers explorer
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Multivariate Partial Information Decomposition: Constructions, Inconsistencies, and Alternative Measures
The authors establish an impossibility theorem for lattice-based PID beyond three sources and introduce alternative measures of multivariate unique and synergistic information using dependency-eliminating random variable systems.
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Explicit Formula for Partial Information Decomposition
Provides the first explicit formula for partial information decomposition atoms satisfying Williams and Beer's axioms via a novel do-operation.
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Information as Maximum-Caliber Deviation: A bridge between Integrated Information Theory and the Free Energy Principle
Information defined as maximum-caliber deviation derives IIT 3.0 cause-effect repertoires from constrained entropy maximization and equates to prediction error under CLT and LDT.
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A scalable estimator of higher-order information in complex dynamical systems
Introduces M-information as a scalable measure of higher-order information integration in multivariate time series, computed via convex optimization and tested on neuronal and neuroimaging data.