Abstract
The article offers a brief overview of the main theoretical and practical results obtained by its authors and their scientific followers. The results concern mainly the deterministic theory of pattern recognition. In particular, the main results on the logical and algebraic correction of heuristic algorithms are presented. Possible directions for the development of recognition algorithms based on inductive inference, similarity, and precedence metrics are also proposed. The practical part deals with some of the decision-making tasks in areas such as medical diagnostics and various technical areas. The nature of the review and value judgments is based on the experience of the authors.
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Notes
The very idea of a circuit is not something new in principle. For example, its elements can be found in [3].
It should be noted that the algebra introduced in [7] had one drawback: it was noncommutative, which significantly limited its applicability.
It is called bilinear because it is linear in each of two variables: the classes on the left and the objects in the control sample on the right.
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V.V. Krasnoproshin. Born in 1947. Graduated from Belarusian State University in 1974. Received candidate’s degree in 1979 and DSc degree in 2007. Full professor at Belarusian State University and the Head of the Information Management Systems Department, Faculty of Applied Mathematics & Computer Sciences. Research interests: artificial intelligence, pattern recognition, image analyzes, computer graphics, information, and computing technologies. Author of more than 300 papers, including 9 books.
V.A. Obraztsov. Born in 1953. Graduated from Belarusian State University in 1979. Received candidate’s degree in 1987. Currently, Associate Professor at Belarussian State University and Information Management Systems Department, Faculty of Applied Mathematics & Computer Science. Research interests: pattern recognition, artificial intelligence, fuzzy mathematics, and decision-support systems. Author of 82 papers.
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Krasnoproshin, V.V., Obraztsov, V.A. Pattern Recognition: Theoretical Research Experience and Applications. Pattern Recognit. Image Anal. 31, 163–171 (2021). https://doi.org/10.1134/S1054661821010132
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DOI: https://doi.org/10.1134/S1054661821010132