mlsanityData to 14 Oct 2026

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

arXiv 2606.18898 ↗First posted 17 Jun 2026cs.LGcited by 1

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Abstract (arXiv)

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.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 25 of its 46 references that are in the map. First posted on arXiv 17 Jun 2026.

Builds on

25 of 46 references.

References · 25

  1. 2018Neural Ordinary Differential Equationscited by 3,779
  2. 2022TimesNet: Temporal 2D-Variation Modeling for General Time Series Analysiscited by 1,058
  3. 2018Detecting Spacecraft Anomalies Using LSTMs and Nonparametric Dynamic Thresholdingcited by 410
  4. 2021Anomaly Transformer: Time Series Anomaly Detection with Association Discrepancycited by 394
  5. 2021Graph Neural Network-Based Anomaly Detection in Multivariate Time Seriescited by 301
  6. 2020Scalable Gradients for Stochastic Differential Equationscited by 271
  7. 2021Multi-Time Attention Networks for Irregularly Sampled Time Seriescited by 238
  8. 2019PyOD: A Python Toolbox for Scalable Outlier Detectioncited by 222
  9. 2022TranAD: Deep Transformer Networks for Anomaly Detection in Multivariate Time Series Datacited by 214
  10. 2020A review on outlier/anomaly detection in time series datacited by 189
  11. 2020Current Time Series Anomaly Detection Benchmarks are Flawed and are Creating the Illusion of Progresscited by 151
  12. 2020COPOD: Copula-Based Outlier Detectioncited by 146
13 more
  1. 2022Deep Learning for Time Series Anomaly Detection: A Surveycited by 131
  2. 2022Deep Isolation Forest for Anomaly Detectioncited by 92
  3. 2021An Evaluation of Anomaly Detection and Diagnosis in Multivariate Time Seriescited by 68
  4. 2020Challenges in Benchmarking Stream Learning Algorithms with Real-world Datacited by 59
  5. 2024Deep Learning for Multivariate Time Series Imputation: A Surveycited by 57
  6. 2022Calibrated One-class Classification for Unsupervised Time Series Anomaly Detectioncited by 40
  7. 2023MEMTO: Memory-guided Transformer for Multivariate Time Series Anomaly Detectioncited by 26
  8. 2025Comprehensive Review of Neural Differential Equations for Time Series Analysiscited by 20
  9. 2024Position: Quo Vadis, Unsupervised Time Series Anomaly Detection?cited by 17
  10. 2023Latent SDEs on Homogeneous Spacescited by 16
  11. 2025Topology-driven identification of repetitions in multi-variate time seriescited by 2
  12. 2026Federated Learning for Multivariate Time Series Anomaly Detection in Industrial Automationcited by 2
  13. 2025Multivariate Time Series Anomaly Detection in Industry 5.0cited by 1

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