1. Dimensionality-Aware Outlier Detection: Theoretical and Experimental Analysis
- Author
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Anderberg, Alastair, Bailey, James, Campello, Ricardo J. G. B., Houle, Michael E., Marques, Henrique O., Radovanović, Miloš, and Zimek, Arthur
- Subjects
Computer Science - Machine Learning ,Computer Science - Artificial Intelligence ,68T99 (Primary) 62G07, 62G32, 62H30 (Secondary) - Abstract
We present a nonparametric method for outlier detection that takes full account of local variations in intrinsic dimensionality within the dataset. Using the theory of Local Intrinsic Dimensionality (LID), our 'dimensionality-aware' outlier detection method, DAO, is derived as an estimator of an asymptotic local expected density ratio involving the query point and a close neighbor drawn at random. The dimensionality-aware behavior of DAO is due to its use of local estimation of LID values in a theoretically-justified way. Through comprehensive experimentation on more than 800 synthetic and real datasets, we show that DAO significantly outperforms three popular and important benchmark outlier detection methods: Local Outlier Factor (LOF), Simplified LOF, and kNN., Comment: 13 pages, 3 figures. Extended version of a paper accepted for publication at the SIAM International Conference on Data Mining (SDM24)
- Published
- 2024