Time Series Anomaly Detection for Cyber-Physical Systems via Neural System Identification and Bayesian Filtering
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Abstract (arXiv)
Recent advances in AIoT technologies have led to an increasing popularity of utilizing machine learning algorithms to detect operational failures for cyber-physical systems (CPS). In its basic form, an anomaly detection module monitors the sensor measurements and actuator states from the physical plant, and detects anomalies in these measurements to identify abnormal operation status. Nevertheless, building effective anomaly detection models for CPS is rather challenging as the model has to accurately detect anomalies in presence of highly complicated system dynamics and unknown amount of sensor noise. In this work, we propose a novel time series anomaly detection method called Neural System Identification and Bayesian Filtering (NSIBF) in which a specially crafted neural network architecture is posed for system identification, i.e., capturing the dynamics of CPS in a dynamical state-space model; then a Bayesian filtering algorithm is naturally applied on top of the "identified" state-space model for robust anomaly detection by tracking the uncertainty of the hidden state of the system recursively over time. We provide qualitative as well as quantitative experiments with the proposed method on a synthetic and three real-world CPS datasets, showing that NSIBF compares favorably to the state-of-the-art methods with considerable improvements on anomaly detection in CPS.
Key facts. Cited by 31 papers in the map (data through 7 Oct 2026). Builds on 18 of its 58 references that are in the map. First posted on arXiv 15 Jun 2021.
Builds on
18 of 58 references.
References · 18
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2017DeepAR: Probabilistic Forecasting with Autoregressive Recurrent Networkscited by 1,004
- 2018Detecting Spacecraft Anomalies Using LSTMs and Nonparametric Dynamic Thresholdingcited by 407
- 2015A Recurrent Latent Variable Model for Sequential Datacited by 362
- 2019Deep Learning for Anomaly Detection: A Surveycited by 357
- 2018Unsupervised Anomaly Detection via Variational Auto-Encoder for Seasonal KPIs in Web Applicationscited by 223
- 2016LSTM-based Encoder-Decoder for Multi-sensor Anomaly Detectioncited by 213
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- 2016Structured Inference Networks for Nonlinear State Space Modelscited by 182
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- 2015Deep Kalman Filterscited by 163
- 2016Deep Variational Bayes Filters: Unsupervised Learning of State Space Models from Raw Datacited by 154
6 more
- 2017A Disentangled Recognition and Nonlinear Dynamics Model for Unsupervised Learningcited by 107
- 2020Deep Learning-Based Anomaly Detection in Cyber-Physical Systems: Progress and Opportunitiescited by 27
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Citing papers per year: 2021: 1; 2022: 6; 2023: 7; 2024: 4; 2025: 6; 2026: 7.
31 papers.
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- 2022Deep Learning for Time Series Anomaly Detection: A Surveycited by 130
- 2025TAB: Unified Benchmarking of Time Series Anomaly Detection Methodscited by 58
- 2022Calibrated One-class Classification for Unsupervised Time Series Anomaly Detectioncited by 39
- 2023Navigating the Metric Maze: A Taxonomy of Evaluation Metrics for Anomaly Detection in Time Seriescited by 24
- 2024Position: Quo Vadis, Unsupervised Time Series Anomaly Detection?cited by 17
- 2022Are we certain it's anomalous?cited by 13
- 2024Multivariate Time-Series Anomaly Detection based on Enhancing Graph Attention Networks with Topological Analysiscited by 11
- 2023Masked Bayesian Neural Networks : Theoretical Guarantee and its Posterior Inferencecited by 9
- 2023A Co-training Approach for Noisy Time Series Learningcited by 8
- 2025STAR: Boosting Time Series Foundation Models for Anomaly Detection through State-aware Adaptercited by 6
- 2025Cyber-Physical Systems Security: A Comprehensive Review of Anomaly Detection Techniquescited by 4
- 2021DeepFIB: Self-Imputation for Time Series Anomaly Detectioncited by 2
19 more
- 2022Robust Learning of Deep Time Series Anomaly Detection Models with Contaminated Training Datacited by 2
- 2026ChronosAD: Leveraging Time Series Foundation Models for Accurate Anomaly Detectioncited by 2
- 2022Learning Invariant Rules from Data for Interpretable Anomaly Detectioncited by 1
- 2024Angel or Devil: Discriminating Hard Samples and Anomaly Contaminations for Unsupervised Time Series Anomaly Detectioncited by 1
- 2024INVARLLM: LLM-assisted Physical Invariant Extraction for Cyber-Physical Systems Anomaly Detectioncited by 1
- 2025A Problem-Oriented Taxonomy of Evaluation Metrics for Time Series Anomaly Detectioncited by 1
- 2026ASTER: Latent Pseudo-Anomaly Generation for Unsupervised Time-Series Anomaly Detectioncited by 1
- 2022An Unsupervised Short- and Long-Term Mask Representation for Multivariate Time Series Anomaly Detectioncited by 0
- 2023BSSAD: Towards A Novel Bayesian State-Space Approach for Anomaly Detection in Multivariate Time Seriescited by 0
- 2023Time series anomaly detection with reconstruction-based state-space modelscited by 0
- 2023CyPhERS: A Cyber-Physical Event Reasoning System providing real-time situational awareness for attack and fault responsecited by 0
- 2023PARs: Predicate-based Association Rules for Efficient and Accurate Model-Agnostic Anomaly Explanationcited by 0
- 2025iADCPS: Time Series Anomaly Detection for Evolving Cyber-physical Systems via Incremental Meta-learningcited by 0
- 2025SRLR: Symbolic Regression based Logic Recovery to Counter Programmable Logic Controller Attackscited by 0
- 2026Flowcean - Model Learning for Cyber-Physical Systemscited by 0
- 2026MO-SAE:Multi-Objective Stacked Autoencoders Optimization for Edge Anomaly Detectioncited by 0
- 2026An Insight on Evaluation Metrics Under the Imbalanced Case of Anomaly Detectioncited by 0
- 2026GT-PSSM: Unified Probabilistic Framework for Stochastic Dynamics Modeling and Dependency Learning in Multivariate Time Series Anomaly Detectioncited by 0
- 2026Physics-Attested Federated Learning: Securing Collaborative Anomaly Detection in Critical Water Infrastructurecited by 0
- 2026Physics-Attested Federated Learning: Securing Collaborative Anomaly Detection in Critical Water Infrastructure28 Sep 2026
- 2026GT-PSSM: Unified Probabilistic Framework for Stochastic Dynamics Modeling and Dependency Learning in Multivariate Time Series Anomaly Detection28 Sep 2026
- 2026An Insight on Evaluation Metrics Under the Imbalanced Case of Anomaly Detection24 Jul 2026
- 2026ChronosAD: Leveraging Time Series Foundation Models for Accurate Anomaly Detection31 May 2026
- 2026ASTER: Latent Pseudo-Anomaly Generation for Unsupervised Time-Series Anomaly Detection15 Apr 2026
- 2026MO-SAE:Multi-Objective Stacked Autoencoders Optimization for Edge Anomaly Detection14 Mar 2026
- 2026Flowcean - Model Learning for Cyber-Physical Systems12 Mar 2026
- 2025SRLR: Symbolic Regression based Logic Recovery to Counter Programmable Logic Controller Attacks12 Dec 2025
- 2025A Problem-Oriented Taxonomy of Evaluation Metrics for Time Series Anomaly Detection24 Nov 2025
- 2025STAR: Boosting Time Series Foundation Models for Anomaly Detection through State-aware Adapter15 Oct 2025
- 2025TAB: Unified Benchmarking of Time Series Anomaly Detection Methods22 Jun 2025
- 2025iADCPS: Time Series Anomaly Detection for Evolving Cyber-physical Systems via Incremental Meta-learning6 Apr 2025
19 more
- 2025Cyber-Physical Systems Security: A Comprehensive Review of Anomaly Detection Techniques18 Feb 2025
- 2024INVARLLM: LLM-assisted Physical Invariant Extraction for Cyber-Physical Systems Anomaly Detection17 Nov 2024
- 2024Angel or Devil: Discriminating Hard Samples and Anomaly Contaminations for Unsupervised Time Series Anomaly Detection26 Oct 2024
- 2024Multivariate Time-Series Anomaly Detection based on Enhancing Graph Attention Networks with Topological Analysis23 Aug 2024
- 2024Position: Quo Vadis, Unsupervised Time Series Anomaly Detection?4 May 2024
- 2023PARs: Predicate-based Association Rules for Efficient and Accurate Model-Agnostic Anomaly Explanation18 Dec 2023
- 2023A Co-training Approach for Noisy Time Series Learning24 Aug 2023
- 2023CyPhERS: A Cyber-Physical Event Reasoning System providing real-time situational awareness for attack and fault response26 May 2023
- 2023Masked Bayesian Neural Networks : Theoretical Guarantee and its Posterior Inference24 May 2023
- 2023Time series anomaly detection with reconstruction-based state-space models6 Mar 2023
- 2023Navigating the Metric Maze: A Taxonomy of Evaluation Metrics for Anomaly Detection in Time Series2 Mar 2023
- 2023BSSAD: Towards A Novel Bayesian State-Space Approach for Anomaly Detection in Multivariate Time Series30 Jan 2023
- 2022Learning Invariant Rules from Data for Interpretable Anomaly Detection24 Nov 2022
- 2022Are we certain it's anomalous?16 Nov 2022
- 2022Deep Learning for Time Series Anomaly Detection: A Survey9 Nov 2022
- 2022An Unsupervised Short- and Long-Term Mask Representation for Multivariate Time Series Anomaly Detection19 Aug 2022
- 2022Robust Learning of Deep Time Series Anomaly Detection Models with Contaminated Training Data3 Aug 2022
- 2022Calibrated One-class Classification for Unsupervised Time Series Anomaly Detection25 Jul 2022
- 2021DeepFIB: Self-Imputation for Time Series Anomaly Detection12 Dec 2021
- 2022Deep Learning for Time Series Anomaly Detection: A Surveycited by 130
- 2025TAB: Unified Benchmarking of Time Series Anomaly Detection Methodscited by 58
- 2022Calibrated One-class Classification for Unsupervised Time Series Anomaly Detectioncited by 39
- 2023Navigating the Metric Maze: A Taxonomy of Evaluation Metrics for Anomaly Detection in Time Seriescited by 24
- 2024Position: Quo Vadis, Unsupervised Time Series Anomaly Detection?cited by 17
- 2022Are we certain it's anomalous?cited by 13
- 2024Multivariate Time-Series Anomaly Detection based on Enhancing Graph Attention Networks with Topological Analysiscited by 11
- 2023Masked Bayesian Neural Networks : Theoretical Guarantee and its Posterior Inferencecited by 9
- 2023A Co-training Approach for Noisy Time Series Learningcited by 8
- 2025STAR: Boosting Time Series Foundation Models for Anomaly Detection through State-aware Adaptercited by 6
- 2025Cyber-Physical Systems Security: A Comprehensive Review of Anomaly Detection Techniquescited by 4
- 2021DeepFIB: Self-Imputation for Time Series Anomaly Detectioncited by 2
12 most cited of 31 All 31 (JSON)
- 2026Physics-Attested Federated Learning: Securing Collaborative Anomaly Detection in Critical Water Infrastructure28 Sep 2026
- 2026GT-PSSM: Unified Probabilistic Framework for Stochastic Dynamics Modeling and Dependency Learning in Multivariate Time Series Anomaly Detection28 Sep 2026
- 2026An Insight on Evaluation Metrics Under the Imbalanced Case of Anomaly Detection24 Jul 2026
- 2026ChronosAD: Leveraging Time Series Foundation Models for Accurate Anomaly Detection31 May 2026
- 2026ASTER: Latent Pseudo-Anomaly Generation for Unsupervised Time-Series Anomaly Detection15 Apr 2026
- 2026MO-SAE:Multi-Objective Stacked Autoencoders Optimization for Edge Anomaly Detection14 Mar 2026
- 2026Flowcean - Model Learning for Cyber-Physical Systems12 Mar 2026
- 2025SRLR: Symbolic Regression based Logic Recovery to Counter Programmable Logic Controller Attacks12 Dec 2025
- 2025A Problem-Oriented Taxonomy of Evaluation Metrics for Time Series Anomaly Detection24 Nov 2025
- 2025STAR: Boosting Time Series Foundation Models for Anomaly Detection through State-aware Adapter15 Oct 2025
- 2025TAB: Unified Benchmarking of Time Series Anomaly Detection Methods22 Jun 2025
- 2025iADCPS: Time Series Anomaly Detection for Evolving Cyber-physical Systems via Incremental Meta-learning6 Apr 2025
12 newest of 31 All 31 (JSON)
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- 2021TFDPM: Attack detection for cyber-physical systems with diffusion probabilistic models
- 2025Fourier-KAN-Mamba: A Novel State-Space Equation Approach for Time-Series Anomaly Detection
- 2026Multi-Modal Anomaly Detection: A Survey
- 2025Diffuse to Detect: A Generalizable Framework for Anomaly Detection with Diffusion Models Applications to UAVs and Beyond
- 2025Anomaly detection for generic failure monitoring in robotic assembly, screwing and manipulation ↗
- 2026CARE: A Cascaded Framework for Efficient and Reliable Time Series Anomaly Detection
- 2025AnoF-Diff: One-Step Diffusion-Based Anomaly Detection for Forceful Tool Use
- 2024Joint Selective State Space Model and Detrending for Robust Time Series Anomaly Detection