Identification of atypical (rare) elements—a conditional, distribution-free approach. (8th March 2017)

• Record Type: Journal Article
• Authors: Kulczycki, Piotr; Charytanowicz, Małgorzata; Kowalski, Piotr A; Łukasik, Szymon
• Is Part Of: IMA journal of mathematical control and information. Volume 35:Number 3(2018)
• Page Start: 923
• Page End: 937
• Publication Date: 2017-03-08
• Subjects: atypical element -- rare element -- outlier -- atypical element identification -- conditional approach -- nonparametric method -- distribution-free method -- numerical algorithm; Control theory -- Periodicals; 629.831205
• DOI: 10.1093/imamci/dnx007
• Languages: English
• ISSNs: 0265-0754

Abstract

Abstract: The discovery of atypical elements has become one of the most important challenges in data analysis and exploration. At the same time it is not an easy matter with difficult conditions, and not even strictly defined. This article presents a ready-to-use procedure for identifying atypical elements in the sense of rarely occurring. The issue is considered in a conditional approach, where describing and conditioning variables can be multidimensional continuous with the second type also potentially categorical. The application of nonparametric concepts frees the investigated procedure from distributions of describing and conditioning variables. Ease of interpretation and completeness of the presented material lend themselves to the use of the worked out method in a wide range of tasks in various applications of data analysis in science and practice.