Naive Bayes Classifier with Mixtures of Polynomials

J. Luengo; Rafael Rumi

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Paper

Naive Bayes Classifier with Mixtures of Polynomials

Topics: Classification; Density Estimation; Feature Selection and Extraction; Graphical and Graph-Based Models

In Proceedings of the International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM, 14-24, 2015 , Lisbon, Portugal

Authors: J. Luengo ¹ and Rafael Rumi ²

Affiliations: ¹ IES Alyanub, Spain ; ² University of Almeria, Spain

Keyword(s): Mixtures of Polynomials, Naive Bayes classifier, Graphical Models.

Related Ontology Subjects/Areas/Topics: Classification ; Density Estimation ; Feature Selection and Extraction ; Graphical and Graph-Based Models ; Pattern Recognition ; Theory and Methods

Abstract: We present in this paper a methodology for including continuous features in the Naive Bayes classifier by estimating the density function of the continuous variables through the Mixtures of Polynomials model. Three new issues are considered for this model: i) a classification oriented parameter estimation procedure ii) a feature selection procedure and iii) the definition of new kind of variable, to deal with those variables that are in theory continuous, but their behavior makes the estimation difficult. These methods are tested with respect to classical discrete and Gaussian Naive Bayes, as well as classification trees.

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Paper citation in several formats:

Luengo, J. and Rumi, R. (2015). Naive Bayes Classifier with Mixtures of Polynomials. In Proceedings of the International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM; ISBN 978-989-758-076-5; ISSN 2184-4313, SciTePress, pages 14-24. DOI: 10.5220/0005166000140024

@conference{icpram15,
author={J. Luengo. and Rafael Rumi.},
title={Naive Bayes Classifier with Mixtures of Polynomials},
booktitle={Proceedings of the International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM},
year={2015},
pages={14-24},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005166000140024},
isbn={978-989-758-076-5},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM
TI - Naive Bayes Classifier with Mixtures of Polynomials
SN - 978-989-758-076-5
IS - 2184-4313
AU - Luengo, J.
AU - Rumi, R.
PY - 2015
SP - 14
EP - 24
DO - 10.5220/0005166000140024
PB - SciTePress