Математическая модель обнаружения аномальных наблюдений с использованием анализа чувствительности нейронной сети
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Научный журнал Моделирование, оптимизация и информационные технологииThe scientific journal Modeling, Optimization and Information Technology
Online media
issn 2310-6018

Mathematical model to detect anomalies using Sensitivity Analysis applying to neural network

Scheglevatych R.V.   idSysoev A.S.

UDC 519.25: 004.891.3
DOI: 0.26102/2310-6018/2020.28.

  • Abstract
  • List of references
  • About authors

The transition to the digitalization in various spheres of economic and social activity is accompanied by the emergence of large amounts of data, processing which it is necessary to identify certain dependencies and build models of processes or systems. The task to identify anomaly values in dig data sets is relevant. Existing algorithms to detect anomalies are based on different approaches and have their own advantages and disadvantages. However basic schemes of all methods are similar and use at the initial stage the separation of data in a typical for system or process and those that are not, then follow structural and parametric identification of the model, and at the final stage the trained model is used to separate the data. To improve the accuracy of algorithms, they can be modified to take into account the data structure or to combine heterogeneous mathematical models. The paper describes a combined approach to build the system for detecting anomalies based on the Isolation Forest algorithm and sequential application of a neural network classifier. To reduce the dimension of neural network input vector, the approach to Sensitivity Analysis based on applying Analysis of Finite Fluctuations to the neural network model is synthesized and described. It is presented the numerical example that shows the adequacy of the proposed approach to data analysis.

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Scheglevatych Roman Vyacheslavovich

Email: schegl111@mail.ru

Federal Fund of Compulsory Medical Insurance

Moscow, Russian Federation

Sysoev Anton Sergeevich
Candidate of Technical Sciences, Associate Professor
Email: sysoev_as@stu.lipetsk.ru

ORCID |

Federal State Budgetary Educational Institution of Higher Education "Lipetsk State Technical University", Department of Applied Mathematics

Lipetsk, Russian Federation

Keywords: mathematical model, anomalies, sensitivity analysis, neural-network models

For citation: Scheglevatych R.V. Sysoev A.S. Mathematical model to detect anomalies using Sensitivity Analysis applying to neural network. Modeling, Optimization and Information Technology. 2020;8(1). Available from: https://moit.vivt.ru/wp-content/uploads/2020/02/ScheglevatychSysoev_1_20_1.pdf DOI: 0.26102/2310-6018/2020.28. (In Russ).

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