Logical regularities in pattern recognition (Parametric Approach)

A. N. Dmitriev, Yu. I. Zhuravlev, and F. P. Krendelev, “On Mathematical Principles of Classifying Objects and Phenomena,” in Discrete Analysis (Institute of Mathematics, Siberian Division, USSR Academy of Sciences, Novosibirsk, 1966), No. 7, pp. 3–11 [in Russian].

Yu. I. Zhuravlev and V. V. Nikiforov, “Recognition Algorithms based on Estimate Evaluation,” Kibernetika, No. 3, 1–11 (1971).

Yu. I. Zhuravlev “An Algebraic Approach to Recognition and Classification Problems,” in Problems of Cybernetics issue 33 (Nauka, Moscow, 1978; Hafner, 1986), pp. 5–68.

M. N. Vaintsvaig, “Kora: A Learning Algorithm for Pattern Recognition,” in Learning Algorithms for Pattern Recognition (Sovetskoe Radio, Moscow, 1973), pp. 8–12 [in Russian].

L. V. Baskakova and Yu. I. Zhuravlev, “A Model of Recognition Algorithms with Representative Sets and Systems of Support Sets,” Zh. Vychisl. Mat. Mat. Fiz. 21, 1264–1275 (1981).

Yu. I. Zhuravlev, Selected Works (Magnistr, Moscow, 1998) [in Russian].

Yu. I. Zhuravlev, “Recognition Algorithms with Representative Sets (Logic Algorithms),” Zh. Vychisl. Mat. Mat. Fiz. 42, 1425–1435 (2002) [Comput. Math. Math. Phys. 42, 1372–1382 (2002)].

E. V. Dyukova and Yu. I. Zhuravlev, “Discrete Analysis of Feature Descriptions in Recognition Problems of High Dimensionality,” Zh. Vychisl. Mat. Mat. Fiz. 40, 1264–1278 (2000) [Comput. Math. Math. Phys. 40, 1214–1227 (2000)].

E. V. Dyukova, “The Recognition Algorithms Kora: Complexity of Implementation and Metric Properties,” in Recognition, Classification, and Prediction: Mathematical Methods and Applications (Nauka, Moscow, 1989), No. 2, pp. 99–125 [in Russian].

D. V. Kochetkov, “Recognition Algorithms that are Invariant under Transformations of the Space of Features,” in Recognition, Classification, and Prediction: Mathematical Methods and Applications (Nauka, Moscow, 1989), No. 1, pp. 82–113; No. 2, pp. 178–206; No. 3, pp. 64–88 [in Russian].

V. V. Ryazanov and O. V. Sen’ko, “Voting Models and Their Optimization,” in Recognition, Classification, and Prediction: Mathematical Methods and Applications (Nauka, Moscow, 1992), No. 3, pp. 106–145 [in Russian].

V. V. Ryazanov, “Recognition Algorithms Based on Local Optimality Criteria,” Pattern Recognit. Image Anal. 4, 98–109 (1994).

S. B. Larin and V. V. Ryazanov, “The Search of Precedent-Based Logical Regularities for Recognition and Data Analysis Problems,” Pattern Recognit. Image Anal. 7, 322–333 (1997).

Yu. I. Zhuravlev and V. V. Ryazanov, “On the Extraction of Knowledge from Samples of Precedents in Classification Models Based on the Partial Precedence Principle,” in Proc. IX Int. Conf. Knowledge-Dialog-Decision, St. Petersburg, 2001, pp. 232–237.

Yu. I. Zhuravlev, V. V. Ryazanov, and O. V. Sen’ko, Recognition: Mathematical Methods, Software, Applications (FAZIS, Moscow, 2006) [in Russian].

C. J. C. Burges “A Tutorial on Support Vector Machines for Pattern Recognition,” Data Mining Knowledge Discovery 2, 121–167 (1998).

M. A. Aizerman, E. M. Braverman, and L. I. Rozonoer, The Potential Function Method in the Theory of Machine Learning (Nauka, Moscow, 1970) [in Russian].