Fusing Physics-based and Deep Learning Models for Prognostics
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Abstract (arXiv)
Physics-based and data-driven models for remaining useful lifetime (RUL) prediction typically suffer from two major challenges that limit their applicability to complex real-world domains: (1) incompleteness of physics-based models and (2) limited representativeness of the training dataset for data-driven models. Combining the advantages of these two directions while overcoming some of their limitations, we propose a novel hybrid framework for fusing the information from physics-based performance models with deep learning algorithms for prognostics of complex safety-critical systems under real-world scenarios. In the proposed framework, we use physics-based performance models to infer unobservable model parameters related to a system's components health solving a calibration problem. These parameters are subsequently combined with sensor readings and used as input to a deep neural network to generate a data-driven prognostics model with physics-augmented features. The performance of the hybrid framework is evaluated on an extensive case study comprising run-to-failure degradation trajectories from a fleet of nine turbofan engines under real flight conditions. The experimental results show that the hybrid framework outperforms purely data-driven approaches by extending the prediction horizon by nearly 127%. Furthermore, it requires less training data and is less sensitive to the limited representativeness of the dataset compared to purely data-driven approaches.
Key facts. Cited by 39 papers in the map (data through 7 Oct 2026). First posted on arXiv 2 Mar 2020.
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Citing papers per year: 2021: 4; 2022: 7; 2023: 10; 2024: 8; 2025: 5; 2026: 5.
39 papers.
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- 2022A Comprehensive Review of Digital Twin -- Part 1: Modeling and Twinning Enabling Technologiescited by 28
- 2023Uncertainty Quantification in Machine Learning for Engineering Design and Health Prognostics: A Tutorialcited by 27
- 2023Domain Adaptation via Alignment of Operation Profile for Remaining Useful Lifetime Predictioncited by 11
- 2024Residual-based Attention Physics-informed Neural Networks for Spatio-Temporal Ageing Assessment of Transformers Operated in Renewable Power Plantscited by 11
- 2023A Benchmark on Uncertainty Quantification for Deep Learning Prognosticscited by 9
- 2023A Framework for Interpretability in Machine Learning for Medical Imagingcited by 9
- 2024Graph Neural Networks for Virtual Sensing in Complex Systems: Addressing Heterogeneous Temporal Dynamicscited by 7
- 2022Combining physics-based and data-driven techniques for reliable hybrid analysis and modeling using the corrective source term approachcited by 6
- 2023Neurosymbolic AI and its Taxonomy: a surveycited by 6
- 2024Interpretable Prognostics with Concept Bottleneck Modelscited by 6
- 2021A generic physics-informed neural network-based framework for reliability assessment of multi-state systemscited by 4
- 2022A novel corrective-source term approach to modeling unknown physics in aluminum extraction processcited by 4
27 more
- 2023Controlled physics-informed data generation for deep learning-based remaining useful life prediction under unseen operation conditionscited by 4
- 2025Federated learning framework for collaborative remaining useful life prognostics: an aircraft engine case studycited by 4
- 2021Canonical Polyadic Decomposition and Deep Learning for Machine Fault Detectioncited by 3
- 2022A Prescriptive Dirichlet Power Allocation Policy with Deep Reinforcement Learningcited by 3
- 2023Fault Prognosis of Turbofan Engines: Eventual Failure Prediction and Remaining Useful Life Estimationcited by 3
- 2023Explainable Predictive Maintenancecited by 3
- 2024Intelligent Condition Monitoring of Industrial Plants: An Overview of Methodologies and Uncertainty Management Strategiescited by 3
- 2024Virtual Sensor for Real-Time Bearing Load Prediction Using Heterogeneous Temporal Graph Neural Networkscited by 3
- 2024Health Index Estimation Through Integration of General Knowledge with Unsupervised Learningcited by 3
- 2025Bayesian Physics Informed Neural Networks for Reliable Transformer Prognosticscited by 3
- 2025Hard-Constrained Neural Networks with Physics-Embedded Architecture for Residual Dynamics Learning and Invariant Enforcement in Cyber-Physical Systemscited by 3
- 2021Uncertainty-aware Remaining Useful Life predictorcited by 2
- 2022Physics-Informed Graph Learningcited by 2
- 2022Investigating Temporal Convolutional Neural Networks for Satellite Image Time Series Classification: A surveycited by 2
- 2022Physics-Infused Fuzzy Generative Adversarial Network for Robust Failure Prognosiscited by 2
- 2024A Hybrid Probabilistic Battery Health Management Approach for Robust Inspection Drone Operationscited by 2
- 2023Simulation and Prediction of Countercurrent Spontaneous Imbibition at Early and Late Times Using Physics-Informed Neural Networkscited by 1
- 2025Hybrid Adaptive Modeling in Process Monitoring: Leveraging Sequence Encoders and Physics-Informed Neural Networkscited by 1
- 2025A New Perspective On AI Safety Through Control Theory Methodologiescited by 1
- 2021A hybrid model-based and learning-based approach for classification using limited number of training samplescited by 0
- 2023A Generic Machine Learning Framework for Fully-Unsupervised Anomaly Detection with Contaminated Datacited by 0
- 2024DeepFMEA -- A Scalable Framework Harmonizing Process Expertise and Data-Driven PHMcited by 0
- 2026Disentangling Aleatoric and Epistemic Uncertainty in Physics-Informed Neural Networks. Application to Insulation Material Degradation Prognosticscited by 0
- 2026Physics-Informed Framework for Impact Identification in Aerospace Compositescited by 0
- 2026A Hybrid Intelligent Framework for Uncertainty-Aware Condition Monitoring of Industrial Systemscited by 0
- 2026CruiseBench: A Real-Flight-Aligned N-CMAPSS Benchmark for Engine RUL Predictioncited by 0
- 2026Uncertainty and Business-Aware Remaining Useful Life Estimation for Semiconductor Manufacturingcited by 0
- 2026Uncertainty and Business-Aware Remaining Useful Life Estimation for Semiconductor Manufacturing26 Aug 2026
- 2026CruiseBench: A Real-Flight-Aligned N-CMAPSS Benchmark for Engine RUL Prediction1 Jul 2026
- 2026A Hybrid Intelligent Framework for Uncertainty-Aware Condition Monitoring of Industrial Systems10 Apr 2026
- 2026Physics-Informed Framework for Impact Identification in Aerospace Composites30 Mar 2026
- 2026Disentangling Aleatoric and Epistemic Uncertainty in Physics-Informed Neural Networks. Application to Insulation Material Degradation Prognostics7 Jan 2026
- 2025Hard-Constrained Neural Networks with Physics-Embedded Architecture for Residual Dynamics Learning and Invariant Enforcement in Cyber-Physical Systems28 Nov 2025
- 2025Bayesian Physics Informed Neural Networks for Reliable Transformer Prognostics19 Sep 2025
- 2025A New Perspective On AI Safety Through Control Theory Methodologies30 Jun 2025
- 2025Federated learning framework for collaborative remaining useful life prognostics: an aircraft engine case study31 May 2025
- 2025Hybrid Adaptive Modeling in Process Monitoring: Leveraging Sequence Encoders and Physics-Informed Neural Networks20 May 2025
- 2024Graph Neural Networks for Virtual Sensing in Complex Systems: Addressing Heterogeneous Temporal Dynamics26 Jul 2024
- 2024Interpretable Prognostics with Concept Bottleneck Models27 May 2024
27 more
- 2024DeepFMEA -- A Scalable Framework Harmonizing Process Expertise and Data-Driven PHM13 May 2024
- 2024Residual-based Attention Physics-informed Neural Networks for Spatio-Temporal Ageing Assessment of Transformers Operated in Renewable Power Plants10 May 2024
- 2024Health Index Estimation Through Integration of General Knowledge with Unsupervised Learning8 May 2024
- 2024A Hybrid Probabilistic Battery Health Management Approach for Robust Inspection Drone Operations24 Apr 2024
- 2024Virtual Sensor for Real-Time Bearing Load Prediction Using Heterogeneous Temporal Graph Neural Networks2 Apr 2024
- 2024Intelligent Condition Monitoring of Industrial Plants: An Overview of Methodologies and Uncertainty Management Strategies3 Jan 2024
- 2023A Framework for Interpretability in Machine Learning for Medical Imaging2 Oct 2023
- 2023A Generic Machine Learning Framework for Fully-Unsupervised Anomaly Detection with Contaminated Data25 Aug 2023
- 2023Explainable Predictive Maintenance8 Jun 2023
- 2023Neurosymbolic AI and its Taxonomy: a survey12 May 2023
- 2023Uncertainty Quantification in Machine Learning for Engineering Design and Health Prognostics: A Tutorial7 May 2023
- 2023Simulation and Prediction of Countercurrent Spontaneous Imbibition at Early and Late Times Using Physics-Informed Neural Networks6 May 2023
- 2023Controlled physics-informed data generation for deep learning-based remaining useful life prediction under unseen operation conditions23 Apr 2023
- 2023Fault Prognosis of Turbofan Engines: Eventual Failure Prediction and Remaining Useful Life Estimation23 Mar 2023
- 2023A Benchmark on Uncertainty Quantification for Deep Learning Prognostics9 Feb 2023
- 2023Domain Adaptation via Alignment of Operation Profile for Remaining Useful Lifetime Prediction3 Feb 2023
- 2022A novel corrective-source term approach to modeling unknown physics in aluminum extraction process22 Sep 2022
- 2022A Comprehensive Review of Digital Twin -- Part 1: Modeling and Twinning Enabling Technologies26 Aug 2022
- 2022Physics-Infused Fuzzy Generative Adversarial Network for Robust Failure Prognosis15 Jun 2022
- 2022Combining physics-based and data-driven techniques for reliable hybrid analysis and modeling using the corrective source term approach7 Jun 2022
- 2022Investigating Temporal Convolutional Neural Networks for Satellite Image Time Series Classification: A survey13 Apr 2022
- 2022Physics-Informed Graph Learning22 Feb 2022
- 2022A Prescriptive Dirichlet Power Allocation Policy with Deep Reinforcement Learning20 Jan 2022
- 2021A generic physics-informed neural network-based framework for reliability assessment of multi-state systems1 Dec 2021
- 2021Canonical Polyadic Decomposition and Deep Learning for Machine Fault Detection20 Jul 2021
- 2021A hybrid model-based and learning-based approach for classification using limited number of training samples25 Jun 2021
- 2021Uncertainty-aware Remaining Useful Life predictor8 Apr 2021
- 2022A Comprehensive Review of Digital Twin -- Part 1: Modeling and Twinning Enabling Technologiescited by 28
- 2023Uncertainty Quantification in Machine Learning for Engineering Design and Health Prognostics: A Tutorialcited by 27
- 2023Domain Adaptation via Alignment of Operation Profile for Remaining Useful Lifetime Predictioncited by 11
- 2024Residual-based Attention Physics-informed Neural Networks for Spatio-Temporal Ageing Assessment of Transformers Operated in Renewable Power Plantscited by 11
- 2023A Benchmark on Uncertainty Quantification for Deep Learning Prognosticscited by 9
- 2023A Framework for Interpretability in Machine Learning for Medical Imagingcited by 9
- 2024Graph Neural Networks for Virtual Sensing in Complex Systems: Addressing Heterogeneous Temporal Dynamicscited by 7
- 2022Combining physics-based and data-driven techniques for reliable hybrid analysis and modeling using the corrective source term approachcited by 6
- 2023Neurosymbolic AI and its Taxonomy: a surveycited by 6
- 2024Interpretable Prognostics with Concept Bottleneck Modelscited by 6
- 2021A generic physics-informed neural network-based framework for reliability assessment of multi-state systemscited by 4
- 2022A novel corrective-source term approach to modeling unknown physics in aluminum extraction processcited by 4
12 most cited of 39 All 39 (JSON)
- 2026Uncertainty and Business-Aware Remaining Useful Life Estimation for Semiconductor Manufacturing26 Aug 2026
- 2026CruiseBench: A Real-Flight-Aligned N-CMAPSS Benchmark for Engine RUL Prediction1 Jul 2026
- 2026A Hybrid Intelligent Framework for Uncertainty-Aware Condition Monitoring of Industrial Systems10 Apr 2026
- 2026Physics-Informed Framework for Impact Identification in Aerospace Composites30 Mar 2026
- 2026Disentangling Aleatoric and Epistemic Uncertainty in Physics-Informed Neural Networks. Application to Insulation Material Degradation Prognostics7 Jan 2026
- 2025Hard-Constrained Neural Networks with Physics-Embedded Architecture for Residual Dynamics Learning and Invariant Enforcement in Cyber-Physical Systems28 Nov 2025
- 2025Bayesian Physics Informed Neural Networks for Reliable Transformer Prognostics19 Sep 2025
- 2025A New Perspective On AI Safety Through Control Theory Methodologies30 Jun 2025
- 2025Federated learning framework for collaborative remaining useful life prognostics: an aircraft engine case study31 May 2025
- 2025Hybrid Adaptive Modeling in Process Monitoring: Leveraging Sequence Encoders and Physics-Informed Neural Networks20 May 2025
- 2024Graph Neural Networks for Virtual Sensing in Complex Systems: Addressing Heterogeneous Temporal Dynamics26 Jul 2024
- 2024Interpretable Prognostics with Concept Bottleneck Models27 May 2024
12 newest of 39 All 39 (JSON)