Fuzzy classification and fast rejection rules in the structure-property problem |
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Authors: | E. I. Prokhorov L. A. Ponomareva E. A. Permyakov M. I. Kumskov |
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Affiliation: | 14410. Faculty of Mathematics and Mechanics, Chair of Computational Mathematics, Moscow State University, Moscow, 119992, Russia
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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. |
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