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Hashing for Structure-based Anomaly Detection

16 May 2025
Filippo Leveni
Luca Magri
Cesare Alippi
Giacomo Boracchi
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Abstract

We focus on the problem of identifying samples in a set that do not conform to structured patterns represented by low-dimensional manifolds. An effective way to solve this problem is to embed data in a high dimensional space, called Preference Space, where anomalies can be identified as the most isolated points. In this work, we employ Locality Sensitive Hashing to avoid explicit computation of distances in high dimensions and thus improve Anomaly Detection efficiency. Specifically, we present an isolation-based anomaly detection technique designed to work in the Preference Space which achieves state-of-the-art performance at a lower computational cost. Code is publicly available atthis https URL.

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@article{leveni2025_2505.10873,
  title={ Hashing for Structure-based Anomaly Detection },
  author={ Filippo Leveni and Luca Magri and Cesare Alippi and Giacomo Boracchi },
  journal={arXiv preprint arXiv:2505.10873},
  year={ 2025 }
}
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