Title
Efficient Approximation of the Conditional Relative Entropy with Applications to Discriminative Learning of Bayesian Network Classifiers.
Abstract
We propose a minimum variance unbiased approximation to the conditional relative entropy of the distribution induced by the observed frequency estimates, for multi-classification tasks. Such approximation is an extension of a decomposable scoring criterion, named approximate conditional log-likelihood (aCLL), primarily used for discriminative learning of augmented Bayesian network classifiers. Our contribution is twofold: (i) it addresses multi-classification tasks and not only binary-classification ones; and (ii) it covers broader stochastic assumptions than uniform distribution over the parameters. Specifically, we considered a Dirichlet distribution over the parameters, which was experimentally shown to be a very good approximation to CLL. In addition, for Bayesian network classifiers, a closed-form equation is found for the parameters that maximize the scoring criterion.
Year
DOI
Venue
2013
10.3390/e15072716
ENTROPY
Keywords
Field
DocType
conditional relative entropy,approximation,discriminative learning,Bayesian network classifiers
Minimum-variance unbiased estimator,Pattern recognition,Uniform distribution (continuous),Bayesian network,Artificial intelligence,Dirichlet distribution,Statistics,Discriminative model,Kullback–Leibler divergence,Mathematics,Discriminative learning
Journal
Volume
Issue
Citations 
15
7
5
PageRank 
References 
Authors
0.49
13
3
Name
Order
Citations
PageRank
Alexandra M. Carvalho122316.39
Pedro Adão21037.33
Paulo Mateus3334.55