This article is cited in 9 papers

Theory of equivalence systems for the description of algebraic closures in a generalized model for the computation of estimates

A. G. D'yakonov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

Abstract: The recognition problem is considered in which the initial information is given by the values of similarity functions on pairs of objects. A generalization of the estimation algorithm model for this problem is proposed. A theory for the description and analysis of algebraic closures of the generalized and classical models is developed.

Key words: pattern recognition, classification, estimation algorithms, algebraic approach, algebraic closure, algebra over algorithms, correctness, equivalence.

UDC: 519.673

Received: 07.07.2009

 English version: Computational Mathematics and Mathematical Physics, 2010, 50:2, 369–381

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