Algoritmo evolutivo multi-objetivo em tabelas para seleção de variáveis em classificação multivariada

• Autor(a) principal: Ribeiro, Lucas de Almeida
• Data de Publicação: 2014
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFG
• Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/4405
• topic: Seleção de variáveis; Classificação multivariada; Análise discriminante linear; Algoritmo evolutivo multi-objetivo em tabelas; Variable selection; Multivariate classification; Linear discriminant analysis; Multiobjective evolutionary algorithm on tables; CIENCIA DA COMPUTACAO::MATEMATICA DA COMPUTACAO

This work proposes the use of multi-objective evolutionary algorithm on tables (AEMT) for variable selection in classification problems, using linear discriminant analysis. The proposed algorithm aims to find minimal subsets of the original variables, robust classifiers that model without significant loss in classification ability. The results of the classifiers modeled by the solutions found by this algorithm are compared in this work to those found by mono-objective formulations (such as PLS, APS and own implementations of a Simple Genetic Algorithm) and multi-objective formulations (such as the simple genetic algorithm multi -objective - MULTI-GA - and the NSGA II). As a case study, the algorithm was applied in the selection of spectral variables for classification by linear discriminant analysis (LDA) of samples of biodiesel / diesel. The results showed that the evolutionary formulations are solutions with a smaller number of variables (on average) and a better error rate (average) and compared to the PLS APS. The formulation of the AEMT proposal with the fitness functions: medium risk classification, number of selected variables and number of correlated variables in the model, found solutions with a lower average errors found by the NSGA II and the MULTI-GA, and also a smaller number of variables compared to the multi-GA. Regarding the sensitivity to noise the solution found by AEMT was less sensitive than other formulations compared, showing that the AEMT is more robust classifiers. Finally shows the separation regions of classes, based on the dispersion of samples, depending on the selected one of the solutions AEMT, it is noted that it is possible to determine variables of regions split from the selected variables.