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Multilogistic regression by means of evolutionary product-unit neural networks

Autores

Hervás-Martínez C. , MARTÍNEZ ESTUDILLO, FRANCISCO JOSÉ, CARBONERO RUZ, MARIANO

Publicación externa

No

Medio

Neural Netw.

Alcance

Article

Naturaleza

Científica

Cuartil JCR

Cuartil SJR

Impacto JCR

2.656

Impacto SJR

1.141

Fecha de publicacion

01/01/2008

ISI

000260550300008

Scopus Id

2-s2.0-51049123604

Abstract

We propose a multilogistic regression model based on the combination of linear and product-unit models, where the product-unit nonlinear functions are constructed with the product of the inputs raised to arbitrary powers. The estimation of the coefficients of the model is carried out in two phases. First, the number of product-unit basis functions and the exponents' vector are determined by means of an evolutionary neural network algorithm. Afterwards, a standard maximum likelihood optimization method determines the rest of the coefficients in the new space given by the initial variables and the product-unit basis functions previously estimated. We compare the performance of our approach with the logistic regression built on the initial variables and several learning classification techniques. The statistical test carried out on twelve benchmark datasets shows that the proposed model is competitive in terms of the accuracy of the classifier. © 2008 Elsevier Ltd. All rights reserved.

Palabras clave

Artificial intelligence; Classification (of information); Computer networks; Materials handling; Maximum likelihood estimation; Statistical tests; Vegetation; Basis functions; Evolutionary neural networks; Multi-class classification; Multilogistic regression; Neural networks; article; artificial neural network; computer model; evolutionary algorithm; intermethod comparison; learning algorithm; multivariate logistic regression analysis; network learning; priority journal; statistical model; Algorithms; Animals; Evolution; Humans; Information Storage and Retrieval; Learning; Likelihood Functions; Logistic Models; Neural Networks (Computer); Nonlinear Dynamics; Signal Processing, Computer-Assisted