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Chebyshevskii Sbornik, 2022, Volume 23, Issue 5, Pages 227–240
DOI: https://doi.org/10.22405/2226-8383-2022-23-5-227-240
(Mi cheb1268)
 

HISTORY OF MATH AND APPLICATIONS

Recognition of anomalies of an a priori unknown type

A. O. Ivanova, G. V. Nosovskiya, V. A. Kibkaloab, M. A. Nikulina, F. Yu. Popelenskya, D. A. Fedoseeva, I. V. Gribushinc, V. V. Zlobinc, S. S. Kuzinc, I. L. Mazurenkoa

a Lomonosov Moscow State University (Moscow)
b Moscow Center for Fundamental and Applied Mathematics (Moscow)
c LLC «Huawei Tech Company» (Moscow)
References:
Abstract: In the present article we propose a modification of the PaDiM anomaly detection method which maps images to vectors and then calculates the Mahalanobis distance between such vectors and the distribution of the vectors of the training set. Of the coordinate axes of the vectors we choose a subset of such that the distribution along them is close to normal according to the chosen statistical criterion. The uniformization procedure is then applied to those coordinates and the Mahalanobis distance is calculated. This approach is shown to increase the ROCAUC value in comparison with the PaDiM method.
Keywords: anomaly detection, normal distribution, uniformization.
Received: 15.09.2022
Accepted: 22.12.2022
Document Type: Article
UDC: 004.8, 514
Language: Russian
Citation: A. O. Ivanov, G. V. Nosovskiy, V. A. Kibkalo, M. A. Nikulin, F. Yu. Popelensky, D. A. Fedoseev, I. V. Gribushin, V. V. Zlobin, S. S. Kuzin, I. L. Mazurenko, “Recognition of anomalies of an a priori unknown type”, Chebyshevskii Sb., 23:5 (2022), 227–240
Citation in format AMSBIB
\Bibitem{IvaNosKib22}
\by A.~O.~Ivanov, G.~V.~Nosovskiy, V.~A.~Kibkalo, M.~A.~Nikulin, F.~Yu.~Popelensky, D.~A.~Fedoseev, I.~V.~Gribushin, V.~V.~Zlobin, S.~S.~Kuzin, I.~L.~Mazurenko
\paper Recognition of anomalies of an a priori unknown type
\jour Chebyshevskii Sb.
\yr 2022
\vol 23
\issue 5
\pages 227--240
\mathnet{http://mi.mathnet.ru/cheb1268}
\crossref{https://doi.org/10.22405/2226-8383-2022-23-5-227-240}
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  • https://www.mathnet.ru/eng/cheb/v23/i5/p227
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    Full-text PDF :45
    References:14
     
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