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On Nonlinear Transformations of Features Based on the Functions of Objects Belonging to Classes

  • MATHEMATICAL THEORY OF PATTERN RECOGNITION
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Abstract

The problem of choosing an attribute space for solving classification problems is considered. When choosing a space, nonlinear transformations of the values of both individual features and their combinations are used. The fuzziness of dividing objects into classes according to the values of individual features is investigated using membership functions. The generality of the procedure for calculating the values of the membership function for data measured in nominal and interval scales is shown. The efficiency of the feature space selection is demonstrated through the indicators of the generalizing ability of the algorithms calculated through the estimates of the structure of relations of class objects.

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REFERENCES

  1. I. Goodfellow, Y. Bengio, and A. Courville, Deep Learning (MIT Press, 2016; DMK Press, Moscow, 2018).

  2. https://towardsdatascience.com/ensemble-methods-bagging-boosting-and-stacking-c9214a10a205.

  3. N. A. Ignatyev, “Structure choice for relations between objects in metric classification algorithms,” Pattern Recognit. Image Anal. 28, 590–597 (2018).

    Article  Google Scholar 

  4. N. A. Ignat’ev, “Computing generalized parameters and data mining,” Autom. Remote Control 72, 1068 (2011).

    Article  MathSciNet  Google Scholar 

  5. D. Y. Saidov, “Data visualization and its proof by compactness criterion of objects of classes,” Int. J. Intell. Syst. Appl. 9 (8), 51–58 (2017).

    Google Scholar 

  6. A. Asuncion and D. J. Newman, UCI Machine Learning Repository (Univ. Calif., Irvine, 2007). https://www.ics.uci.edu/~mlearn/MLRepository.html.

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Funding

The work was carried out within the framework of the research program of the Department of Algorithms and Programming Technologies of the National University of Uzbekistan.

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Correspondence to N. A. Ignatiev.

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The author declare he has no conflict of interests.

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Nikolai Alexandrovich Ignatiev. Born in 1950. He graduated from Tashkent State University in 1976 with a degree in applied mathematics. Candidate of Physical and Mathematical Sciences (1988), Doctor of Physical and Mathematical Sciences (2005). Professor of the Department of Algorithms and Programming Technologies of the National University of Uzbekistan. Research interests: mathematical modeling and data mining methods. Published over 90 scientific articles and three monographs.

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Ignatiev, N.A. On Nonlinear Transformations of Features Based on the Functions of Objects Belonging to Classes. Pattern Recognit. Image Anal. 31, 197–204 (2021). https://doi.org/10.1134/S1054661821020085

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  • DOI: https://doi.org/10.1134/S1054661821020085

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