Journal of University of Chinese Academy of Sciences >
Improved classification model via MPEC
Received date: 2009-03-18
Revised date: 2009-04-20
Online published: 2009-09-15
In this paper, we provide an improved form of MPEC model for data classification first proposed in Ref.[1]. We use β likelihood estimation instead of maximum likelihood estimation to estimate the parameters of data's probability distribution function (modeled by Gaussian mixture models). Our new model can avoid the contingent of unboundedness of the maximum likelihood function and excessive sensitivity of the maximum likelihood estimator to outliers, showing more robustness. Then we use filterSQP method to solve our β likelihood MPEC model as nonlinear program. Efficiency of the model is shown by primal numerical tests.
Key words: MPEC; β likelihood estimation; filterSQP; robustness
DING Fei , YIN Hong-Xia . Improved classification model via MPEC[J]. Journal of University of Chinese Academy of Sciences, 2009 , 26(5) : 599 -608 . DOI: 10.7523/j.issn.2095-6134.2009.5.003
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