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Paper · arXiv

Kurtosis-Guided Denoising Score Matching for Tabular Anomaly Detection

Denoising score matching (DSM) provides a way to learn data distributions by training a neural network to recover the score function, defined as the gradient of the log density, from noise-corrupted samples. Once trained, the score magnitude at a test point reflects how consistent that point is with the learned distribution, making it a natural anomaly signal. The key practical challenge is selecting the perturbation scale: too little noise yields unstable score estimates in sparse regions, while too much erases local structure and weakens anomaly sensitivity. This is compounded by the difficulty of hyperparameter tuning when anomalies are unknown and no validation set is available. We in...

AuthorsVictor Livernoche, Jie Zan, Reihaneh Rabbany
Primary categorycs.LG
Published7 May 2026
Last updated at source7 May 2026
cs.LGcs.AI
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