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The Q-norm complexity measure and the minimum gradient method: a novel approach to the machine learning structural risk minimization problem.
Vieira, D A G; Takahashi, Ricardo H C; Palade, Vasile; Vasconcelos, J A; Caminhas, W M.
Afiliação
  • Vieira DA; Department of Electrical Engineering, Federal University of Minas Gerais, Belo Horizonte, MG 31270-010, Brazil. douglas@cpdee.ufmg.br
IEEE Trans Neural Netw ; 19(8): 1415-30, 2008 Aug.
Article em En | MEDLINE | ID: mdl-18701371
This paper presents a novel approach for dealing with the structural risk minimization (SRM) applied to a general setting of the machine learning problem. The formulation is based on the fundamental concept that supervised learning is a bi-objective optimization problem in which two conflicting objectives should be minimized. The objectives are related to the empirical training error and the machine complexity. In this paper, one general Q-norm method to compute the machine complexity is presented, and, as a particular practical case, the minimum gradient method (MGM) is derived relying on the definition of the fat-shattering dimension. A practical mechanism for parallel layer perceptron (PLP) network training, involving only quasi-convex functions, is generated using the aforementioned definitions. Experimental results on 15 different benchmarks are presented, which show the potential of the proposed ideas.
Assuntos

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Assunto principal: Algoritmos / Reconhecimento Automatizado de Padrão / Inteligência Artificial / Modelos Teóricos Tipo de estudo: Etiology_studies / Risk_factors_studies Idioma: En Revista: IEEE Trans Neural Netw Assunto da revista: INFORMATICA MEDICA Ano de publicação: 2008 Tipo de documento: Article País de afiliação: Brasil País de publicação: Estados Unidos

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Assunto principal: Algoritmos / Reconhecimento Automatizado de Padrão / Inteligência Artificial / Modelos Teóricos Tipo de estudo: Etiology_studies / Risk_factors_studies Idioma: En Revista: IEEE Trans Neural Netw Assunto da revista: INFORMATICA MEDICA Ano de publicação: 2008 Tipo de documento: Article País de afiliação: Brasil País de publicação: Estados Unidos