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Least-Squares Linear Dilation-Erosion Regressor Trained Using a Convex-Concave Procedure

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Autor(es):
Oliveira, Angelica Lourenco ; Valle, Marcos Eduardo ; Xavier-Junior, JC ; Rios, RA
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: INTELLIGENT SYSTEMS, PT II; v. 13654, p. 14-pg., 2022-01-01.
Resumo

This paper presents a hybrid morphological neural network for regression tasks called linear dilation-erosion regressor (l-DER). An l-DER is given by a convex combination of the composition of linear and morphological operators. They yield continuous piecewise linear functions and, thus, are universal approximators. Besides introducing the l-DER model, we formulate their training as a difference of convex (DC) programming problem. Precisely, an l-DER is trained by minimizing the least-squares using the convex-concave procedure (CCP). Computational experiments using several regression tasks confirm the efficacy of the proposed regressor, outperforming other hybrid morphological models and state-of-the-art approaches such as the multilayer perceptron network and the radial-basis support vector regressor. (AU)

Processo FAPESP: 22/01831-2 - Redes neurais artificiais de valor hipercomplexo: além dos números complexos e quaternios
Beneficiário:Marcos Eduardo Ribeiro Do Valle Mesquita
Modalidade de apoio: Auxílio à Pesquisa - Regular