One-class tensor machine with randomized projection for large-scale anomaly detection in high-dimensional and noisy data

Imran RAZZAK, Nour MOUSTAFA, Shahid MUMTAZ, Guangdong XU

Research output: Contribution to journalArticlespeer-review

3 Citations (Scopus)

Abstract

The modern industrial sector generates enormous amounts of high-dimensional heterogeneous data daily. However, mostly the vectored data (rank-one tensor) have been considered for anomaly detection, whereas the data in real-life is high dimensional. The expressive power of methods based on vector data is restrictive as they may destroy the structural information embedded in data and lead to the curse-of-dimensionality and overfitting. In this paper, we present a novel anomaly detection approach for large-scale tensor data. We first present novel one-class support tensor machines (OCSTM) with bounded loss function. We further extend it by leveraging the randomness to design a scalable approach that can also be used for large-scale anomaly detection. To solve the corresponding optimization of the objective function, we utilize half-quadratic optimization followed by solving it like a traditional OCSTM optimization at each iteration. We demonstrate the proposed randomized OCSTM with bounded hinge loss through experiments on 14 benchmark data sets. Experimental results demonstrate the effectiveness of the proposed approach against anomalies and a significant reduction in the computational complexity. Copyright © 2021 Wiley Periodicals LLC.

Original languageEnglish
Pages (from-to)4515-4536
JournalInternational Journal of Intelligent Systems
Volume37
Issue number8
Early online dateNov 2021
DOIs
Publication statusPublished - Aug 2022

Citation

Razzak, I., Moustafa, N., Mumtaz, S., & Xu, G. (2022). One-class tensor machine with randomized projection for large-scale anomaly detection in high-dimensional and noisy data. International Journal of Intelligent Systems, 37(8), 4515-4536. https://doi.org/10.1002/int.22729

Keywords

  • High‐dimensional data
  • Randomized
  • STM

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