In the industrial field, the artificial neural network classifiers are currently used and they are generally integrated of technologic systems which need efficient classifier. However, the lack of control over its mathematical formulation explains the instability of its classification results. In order to improve the prediction accuracy, most of researchers refer to the classifiers combination approach. This paper tries to illustrate the capability of an example of combined neural networks to improve the stability criterion of the single neural classifier. The stability comparison is performed by the error rate probability densities function estimated by a new variant of the kernel-diffeomorphism semi-bounded Plug-in algorithm.
We introduce, by this work, a fast method to estimate probability density functions in the semi-bounded case. This new technique is a simplified version of the kernel-diffeomorphism estimator which requires complexity in the calculations. It is based on a logarithmic transformation of the data which will be estimated by the conventional kernel estimator. Thus, the algorithm complexity is reduced from O(N 2) to O(N).
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