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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 3, Pages 529–544 (Mi zvmmf8089)

This article is cited in 5 papers

Theory of equivalence systems for describing algebraic closures of a generalized estimation model. II

A. G. D'yakonov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991 Russia

Abstract: Characteristic matrices and metrics of equivalence systems are studied that help give an efficient description of conjunctions of equivalence systems. Using these results, families of correct polynomials in the algebraic approach to classification are described.

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

UDC: 519.714

Received: 02.09.2010


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:3, 490–504

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