2021
DOI: 10.3390/e23080986
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Graphical Models in Reconstructability Analysis and Bayesian Networks

Abstract: Reconstructability Analysis (RA) and Bayesian Networks (BN) are both probabilistic graphical modeling methodologies used in machine learning and artificial intelligence. There are RA models that are statistically equivalent to BN models and there are also models unique to RA and models unique to BN. The primary goal of this paper is to unify these two methodologies via a lattice of structures that offers an expanded set of models to represent complex systems more accurately or more simply. The conceptualizatio… Show more

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Cited by 3 publications
(12 citation statements)
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“…Note that the variables in the backup model (shown in bold) are not the first five individually predictive variables as may be expected due to the condition that the backup model must have 0% missing data. Theoretically the BN method has the potential to perform as well as RA loopless models [28] which were used in this analysis. However, the ABN algorithm resulted in a simpler BN (less degrees of freedom) than the best RA Model.…”
Section: Best Ra Model Point Estimate Resultsmentioning
confidence: 99%
See 3 more Smart Citations
“…Note that the variables in the backup model (shown in bold) are not the first five individually predictive variables as may be expected due to the condition that the backup model must have 0% missing data. Theoretically the BN method has the potential to perform as well as RA loopless models [28] which were used in this analysis. However, the ABN algorithm resulted in a simpler BN (less degrees of freedom) than the best RA Model.…”
Section: Best Ra Model Point Estimate Resultsmentioning
confidence: 99%
“…In RA, information theory uses the data to characterize the precise nature and the strength of the relations. Data applied to a graph structure yields a probabilistic graphical model of the data (This paragraph from [28]).…”
Section: Reconstructability Analysismentioning
confidence: 99%
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“…Given an attribute which is the target, the feature's children, parents and co-parents of the target's children forms up together to be the MB of the target. MB encapsulates nodes dependencies and influences within the network, facilitating efficient probabilistic interference [6].…”
Section: Introductionmentioning
confidence: 99%