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.
Kolchinsky, A novel approach to the partial information decomposition, Entropy24, 403 (2022)
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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.