Synthesis of systems of neurofunctional transformations in classification problems

Authors:
N. F. Kirichenko;Yu. G. Krivonos;N. P. Lepekha
Affiliations:
V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine;V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine;Taras Shevchenko National University, Kyiv, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2007

Citing 7
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Abstract

Optimal synthesis of linear and nonlinear transformations is used to synthesize pattern recognition systems. The necessary and sufficient conditions for the existence of robust dichotomous linear separability of sets in feature space are represented in terms of pseudoinverse operations. The synthesis of classification systems is reduced to searching for the best nonlinear transformations of the components of the feature vector or optimal linear combinations of its components.