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Anomaly Detection for Sparse and Irregular Multivariate Time Series with Latent SDEs

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Computer Science > Machine Learning

arXiv:2606.18898 (cs)
[Submitted on 17 Jun 2026]

Title:Anomaly Detection for Sparse and Irregular Multivariate Time Series with Latent SDEs

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Abstract:Multivariate time series anomaly detection (MTSAD) is critical for a wide range of application areas, such as industrial monitoring, cybersecurity, or healthcare. Real-world data is often sparse, irregularly sampled or partially observed, yet existing methods assume uniformly sampled time series. We propose a generative approach based on Latent SDEs that projects the observed time series on a continuous-time stochastic dynamical system, directly being able to handle missing observations and irregular sampling, while also naturally capturing possible cyclic behavior that many real-world use cases inherently possess. Experiments on six anomaly benchmark datasets show that our proposed method ranks first among state-of-the-art baselines. We further demonstrate that our method remains robust under severe data sparsity, while performance significantly degrades for the tested baseline methods. These results highlight latent SDEs as a natural inductive bias for anomaly detection in multivariate time series, especially in presence of real-world irregularities.
Comments: Preprint
Subjects: Machine Learning (cs.LG)
Cite as: arXiv:2606.18898 [cs.LG]
  (or arXiv:2606.18898v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2606.18898
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Martin Uray [view email]
[v1] Wed, 17 Jun 2026 10:17:16 UTC (1,175 KB)
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