Nonlinear Recursive Regression Transformers: Dynamic Systems and Optimization

Authors:
N. F. Kirichenko;V. S. Donchenko;D. P. Serbaev
Affiliations:
V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine;T. G. Shevchenko National University, Kiev, Ukraine;T. G. Shevchenko National University, Kiev, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2005

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Abstract

An approximation-prediction problem for functions represented by empirical data is analyzed. A class of functions as predictors, the so-called RFT-transformers, based on the least-square and superposition methods is proposed. Special classes of dynamic systems with delay are introduced and analyzed to obtain classical results for calculation of gradients. These results are used to optimize RFT-transformers.