Finding patterns in nested samples of objects with dynamically distributed data values

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Abstract

The problem of finding hidden patterns in nested samples of objects, the measurement of feature values was considered. The objects of each sample were divided into representatives of two non-intersecting classes. Using a recursive method, the feature values were divided into intervals within which representatives of one of the classes dominated. The results of the partitioning were used to calculate the stability of features. The presence of restrictions on the set of admissible stability values is explained through the properties of membership functions to fuzzy sets. The results of the computational experiment were used to predict the survival of patients with chronic lymphocytic leukemia, depending on the stages of their examination.

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About the authors

N. A. Ignatev

National University of Uzbekistan

Author for correspondence.
Email: n_ignatev@rambler.ru

Dr. of Phys. and Math. Sc., Professor

Uzbekistan, Tashkent

E. N. Zguralskaya

Ulyanovsk State Technical University

Email: iatu@inbox.ru

Cand. of Tech. Sc., Assistant Professor

Russian Federation, Ulyanovsk

References

  1. Kobrinskij В. A. Trust in artificial intelligence technologies, Iskusstvenny`j intellekt i prinyatie reshenij, 2024, no. 3, pp. 3—17 (in Russian).
  2. Admakin А. L. Markov chains — a stochastic model for analyzing the state of severely burned, Med.biol. i socz. psixol. probl. bezopasnosti v chrezv. Situaciyax, 2016, no. 3, pp. 119—125, doi: 10.25016/2541-7487-2016-0-3-119-125 (in Russian).
  3. Vapnik V. N. Restoring dependencies from empirical data, Moscow, Nauka, 1979, 447 p. (in Russian).
  4. Ignatiev N. A. On Nonlinear Transformations of Features Based on the Functions of Objects Belonging to Classes, Pattern Recognit. Image Anal., 2021, vol. 31, pp. 197—204.
  5. Ignatev N. A. Data analysis and decision making using logical patterns in the form of half-planes, Izvestiya Samarskogo nauchnogo centra Rossijskoj akademii nauk, 2017, vol. 19, no. 4 (2), pp. 294—299 (in Russian).
  6. Ignatev N. A., Tursunmurotov D. H. Censoring training samples using regularization of class object connectivity relations, Nauchno-texnicheskij vestnik informacionny`x texnologij, mexaniki i optiki, 2024, vol. 24, no. 2, pp. 322—329, doi: 10.17586/2226-1494-2024-24-2-322-329 (in Russian).
  7. Ignatev N. A., Rahimova M. A. Formation and Analysis of Sets of Informative Features of Objects by Pairs of Classes, Scientific and Technical Information Processing, 2022, vol. 49, no. 6, pp. 439—445.
  8. Zguralskaya E. N. Stability of splitting data into intervals in recognition problems and searching for hidden patterns, Izvestiya Samarskogo nauchnogo centra Rossijskoj akademii nauk, 2018, no. 20 (4), pp. 451—455 (in Russian).
  9. Ignatiev N. A., Rakhimova M. A., Lolaev M. Ya. Features of the selection of informative feature sets on missing data, Problemy vychislitel’noj i prikladnoj matematiki, 2021, no. 6 (37), pp. 113—122 (in Russian).
  10. Ignatiev N. A., Akbarov В. H. Estimation of the closeness of the structures of relations of objects of the training sample on the manifolds of sets of latent features, Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vy`chislitel`naya texnika i informatika, 2023, no. 65, pp. 69—78, doi: 10.17223/19988605/65/7 (in Russian).
  11. Markovseva M. V., Zguralskaya E. N. Patent № 2821774 А method for predicting overall survival of patients with chronic lymphocytic leukemia stages А-C in the dynamics of the disease, 2024 (in Russian).
  12. Pektaş G., Gönül E., Öncü Ş. Chronic Lymphocytic Leukemia: Investigation of Survival and Prognostic Factors with Drug-Related Remission, Diagnostics. 2025, vol. 15, no. 6, pp. 728, doi: 10.3390/diagnostics15060728.

Supplementary files

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2. Fig. 1. Division into three intervals: a — for stability equal to 1; b — for stability less than 1

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3. Fig. 2. Heat map. Correlation dependence on the stability values of three indicators

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