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Fuzzy classification and fast rejection rules in the structure-property problem
Authors:E. I. Prokhorov  L. A. Ponomareva  E. A. Permyakov  M. I. Kumskov
Affiliation:14410. Faculty of Mathematics and Mechanics, Chair of Computational Mathematics, Moscow State University, Moscow, 119992, Russia
Abstract:A new approach to analysis of the molecule-descriptor matrix in the structure-property problem, based on the fuzzy cluster structure of the training sample, is developed. Methods for constructing fast prediction rejection rules and for the search of outliers in a training sample are described. To that end, a special space of easily computed descriptors is introduced. Optimization of the classifying function with respect to the parameters of fuzzy classification is considered. Prognostic models with a high quality of prediction, based on this approach, are proposed. Comparison of models is performed, which shows the efficiency of the described methods.
Keywords:
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