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MAXENT3D_PID: An Estimator for the Maximum-entropy Trivariate Partial Information Decomposition [article]

Abdullah Makkeh, Daniel Chicharro, Dirk Oliver Theis, Raul Vicente
2019 arXiv   pre-print
We describe in detail our software, explain how to use it, and perform some experiments reflecting its accuracy in estimating the trivariate partial information decomposition.  ...  Chicharro (2017) introduced a procedure to determine multivariate partial information measures within the maximum entropy framework, separating unique, redundant, and synergistic components of information  ...  R.V. also thanks the financial support from ETAG through the personal research grant PUT1476.  ... 
arXiv:1901.03352v1 fatcat:pacn2xlpszdujj247orvtovzhu

MAXENT3D_PID: An Estimator for the Maximum-Entropy Trivariate Partial Information Decomposition

Abdullah Makkeh, Daniel Chicharro, Dirk Oliver Theis, Raul Vicente
2019 Entropy  
The paper presents MaxEnt3D_Pid, an algorithm that computes the PID of three sources, based on a recently-proposed maximum entropy measure, using convex optimization (cone programming).  ...  Partial information decomposition (PID) separates the contributions of sources about a target into unique, redundant, and synergistic components of information.  ...  The Finer Quantities of Trivariate Maximum Entropy PID In Appendix C, the maximum entropy decomposition for trivariate PID returns a synergistic term, which is the sum of all individual synergy quantities  ... 
doi:10.3390/e21090862 fatcat:i333t56ktzcrlltoynmzdnyra4