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HODE: Hidden One-Dependence Estimator

M. Julia Flores21 Contact Information, José A. Gámez21 Contact Information, Ana M. Martínez21 Contact Information and José M. Puerta21 Contact Information

(21)  Computing Systems Department, Intelligent Systems and Data Mining group, i3A, University of Castilla-La Mancha, Albacete, Spain
Abstract
Among the several attempts to improve the Naive Bayes (NB) classifier, the Aggregating One-Dependence Estimators (AODE) has proved to be one of the most attractive, considering not only the low error it provides but also its efficiency. AODE estimates the corresponding parameters for every SPODE (Superparent-One-Dependence Estimators) using each attribute of the database as the superparent, and uniformly averages them all. Nevertheless, AODE has properties that can be improved. Firstly, the need to store all the models constructed leads to a high demand on space and hence, to the impossibility of dealing with problems of high dimensionality; secondly, even though it is fast, the computational time required for the training and the classification time is quadratic in the number of attributes. This is specially significant in the classification time, as it is frequently carried out in real time. In this paper, we propose the HODE classifier as an alternative approach to AODE in order to alleviate its problems by estimating a new variable (the hidden variable) as a superparent besides the class, whose main objective is to gather all the dependences existing in the AODE models. The results obtained show that this new algorithm provides similar results in terms of accuracy with a reduction in classification time and space complexity.

Keywords  AODE - SPODE - ODE - Bayesian Networks - Bayesian Classifiers - Classification


Contact Information M. Julia Flores
Email: julia@dsi.uclm.es

Contact Information José A. Gámez
Email: jgamez@dsi.uclm.es

Contact Information Ana M. Martínez
Email: anamartinez@dsi.uclm.es

Contact Information José M. Puerta
Email: jpuerta@dsi.uclm.es
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