BROJA-2PID: A Robust Estimator for Bivariate Partial Information Decomposition

Makkeh, Theis, and Vicente found that Cone Programming model is the most robust to compute the Bertschinger et al. partial information decomposition (BROJA PID) measure. We developed a production-quality robust software that computes the BROJA PID measure based on the Cone Programming model. In this...

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Main Authors: Abdullah Makkeh, Dirk Oliver Theis, Raul Vicente
Format: Article
Language:English
Published: MDPI AG 2018-04-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/4/271
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author Abdullah Makkeh
Dirk Oliver Theis
Raul Vicente
author_facet Abdullah Makkeh
Dirk Oliver Theis
Raul Vicente
author_sort Abdullah Makkeh
collection DOAJ
description Makkeh, Theis, and Vicente found that Cone Programming model is the most robust to compute the Bertschinger et al. partial information decomposition (BROJA PID) measure. We developed a production-quality robust software that computes the BROJA PID measure based on the Cone Programming model. In this paper, we prove the important property of strong duality for the Cone Program and prove an equivalence between the Cone Program and the original Convex problem. Then, we describe in detail our software, explain how to use it, and perform some experiments comparing it to other estimators. Finally, we show that the software can be extended to compute some quantities of a trivaraite PID measure.
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spelling doaj.art-0cbe8d24ee6c4c8ca4e0605958f0cd962022-12-22T02:17:54ZengMDPI AGEntropy1099-43002018-04-0120427110.3390/e20040271e20040271BROJA-2PID: A Robust Estimator for Bivariate Partial Information DecompositionAbdullah Makkeh0Dirk Oliver Theis1Raul Vicente2Institute of Computer Science, University of Tartu, Ülikooli 17, 51014 Tartu, EstoniaInstitute of Computer Science, University of Tartu, Ülikooli 17, 51014 Tartu, EstoniaInstitute of Computer Science, University of Tartu, Ülikooli 17, 51014 Tartu, EstoniaMakkeh, Theis, and Vicente found that Cone Programming model is the most robust to compute the Bertschinger et al. partial information decomposition (BROJA PID) measure. We developed a production-quality robust software that computes the BROJA PID measure based on the Cone Programming model. In this paper, we prove the important property of strong duality for the Cone Program and prove an equivalence between the Cone Program and the original Convex problem. Then, we describe in detail our software, explain how to use it, and perform some experiments comparing it to other estimators. Finally, we show that the software can be extended to compute some quantities of a trivaraite PID measure.http://www.mdpi.com/1099-4300/20/4/271bivariate information decompositionCone Programming
spellingShingle Abdullah Makkeh
Dirk Oliver Theis
Raul Vicente
BROJA-2PID: A Robust Estimator for Bivariate Partial Information Decomposition
Entropy
bivariate information decomposition
Cone Programming
title BROJA-2PID: A Robust Estimator for Bivariate Partial Information Decomposition
title_full BROJA-2PID: A Robust Estimator for Bivariate Partial Information Decomposition
title_fullStr BROJA-2PID: A Robust Estimator for Bivariate Partial Information Decomposition
title_full_unstemmed BROJA-2PID: A Robust Estimator for Bivariate Partial Information Decomposition
title_short BROJA-2PID: A Robust Estimator for Bivariate Partial Information Decomposition
title_sort broja 2pid a robust estimator for bivariate partial information decomposition
topic bivariate information decomposition
Cone Programming
url http://www.mdpi.com/1099-4300/20/4/271
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AT dirkolivertheis broja2pidarobustestimatorforbivariatepartialinformationdecomposition
AT raulvicente broja2pidarobustestimatorforbivariatepartialinformationdecomposition