Closed-form log-determinant expressions provide the first covariance-based estimators for multi-source PID quantities including redundancy, unique information, and synergy in Gaussian variables.
Quantifying & modeling multimodal interactions: An information decomposition framework.Advances in Neural Information Processing Systems, 36:27351–27393
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Antichain-lattice indexing in PID is structurally insufficient to recover mutual information from information atoms for multivariate cases.
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Closed-Form Gaussian Estimators for Multi-Source Partial Information Decomposition
Closed-form log-determinant expressions provide the first covariance-based estimators for multi-source PID quantities including redundancy, unique information, and synergy in Gaussian variables.
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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.