Antichain-lattice indexing in PID is structurally insufficient to recover mutual information from information atoms for multivariate cases.
A novel approach to the partial information decom- position.Entropy, 24(3):403
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Structural Impossibility of Antichain-Lattice Partial Information Decomposition
Antichain-lattice indexing in PID is structurally insufficient to recover mutual information from information atoms for multivariate cases.