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Paper · arXiv

Moment-Based Anomaly Detection in High-Dimensional Mixed Data

We propose an anomaly detection method for high-dimensional mixed-type data that maps heterogeneous features to a common scale via standardized moment-based transformations, yielding interpretable feature-level anomaly scores. These scores are combined through a dependence-aware aggregation step to construct the Mixed-data Influence (MDI) score, accounting for correlations across features and providing a unified measure of how strongly an observation departs from the reference data distribution. By incorporating higher-order moments, the MDI can detect anomalies that arise not only from location shifts, but also from changes in variability, skewness, and other distributional characteristi...

AuthorsDavide Ferrari, Andrea Nicolodi
Primary categorystat.ML
Published12 October 2026
Last updated at source12 October 2026
stat.MLcs.LG
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