Skip to main content
Log in

Logical Approach to Finding Outliers in Data

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

In this paper, we discuss a logical approach to classification of data and identification of outlier in them. We propose an algorithm for finding all possible classes for a given subject area based on the classifier logical function. We analyze these classes and identify the most pronounced patterns corresponding to the classification principles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. G. Diakonov and A. M. Golovina, “Identification of anomalies in the operation of mechanisms using machine learning methods. Analytics and data management in data-intensive areas,”, 469–476 (2017).

  2. P. Flach, Machine Learning, Cambridge Univ. Press, Cambridge (2012).

    Book  Google Scholar 

  3. L. A. Lyutikova and E. V. Shmatova, “Analysis and synthesis of pattern recognition algorithms based on variable-valued logic,” Inform. Tekhnol., 22, No. 4, 292–297 (2016).

    Google Scholar 

  4. L. A. Lyutikova and E. V. Shmatova, “Logical approach to the correction of results of the work of ΣΠ-neural networks,” Inform. Tekhnol., 24, No. 2, 110–116 (2018).

    Google Scholar 

  5. Z. M. Shibzukhov, “On the principle of minimizing empirical risk based on averaging aggregating functions,” Dokl. Ross. Akad. Nauk, 476, No. 5, 495–499 (2017).

    MathSciNet  Google Scholar 

  6. Yu. I. Zhuravlev, “On an algebraic approach to recognition and classification problems,” Probl. Kibern., 33, 5–68 (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. A. Lyutikova.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 166, Proceedings of the IV International Scientific Conference “Actual Problems of Applied Mathematics,” Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, 2019.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lyutikova, L.A. Logical Approach to Finding Outliers in Data. J Math Sci 260, 202–209 (2022). https://doi.org/10.1007/s10958-022-05684-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-022-05684-4

Keywords and phrases

AMS Subject Classification

Navigation