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Optimization methods for linear and monotone correction in the algebraic approach to the recognition problem. (English. Russian original) Zbl 0988.68156
Comput. Math. Math. Phys. 40, No. 1, 159-168 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 1, 166-176 (2000).
The author describes an optimization method for constructing correct algorithm based on the algebraic approach to the recognition problem. An application of the method is considered in classification problems and regression estimation in the cases of linear and monotone correction operations. Methods are proposed for solving the optimization problems.

68T10 Pattern recognition, speech recognition
62H30 Classification and discrimination; cluster analysis (statistical aspects)
62J07 Ridge regression; shrinkage estimators (Lasso)