A Quality Index for Detection of Atypical Elements (Outliers)

Autor: Kulczycki Piotr, Franus Krystian, Charytanowicz Małgorzata
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: International Journal of Applied Mathematics and Computer Science, Vol 34, Iss 3, Pp 439-451 (2024)
Druh dokumentu: article
ISSN: 2083-8492
2024-0031
DOI: 10.61822/amcs-2024-0031
Popis: Besides clustering and classification, detection of atypical elements (outliers, rare elements) is one of the most fundamental problems in contemporary data analysis. However, contrary to clustering and classification, an atypical element detection task does not possess any natural quality (performance) index. The subject of the research presented here is the creation of one. It will enable not only evaluation of the results of a procedure for atypical element detection, but also optimization of its parameters or other quantities. The investigated quality index works particularly well with frequency types of such procedures, especially in the presence of substantial noise. Using a nonparametric approach in the design of this index practically frees the proposed method from the distribution in the dataset under examination. It may also be successfully applied to multimodal and multidimensional cases.
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