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February 5, 2026PLoS ONE4 citationsOpen Access

Physics-informed self-supervised diagnosis of rotating machinery using latent ODEs and transformer encoders

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MAMd Al AminMAMohammad Shafat AhsanJMJannatul Maua

Key Points

  • To develop a framework for diagnosing faults in rotating machinery using physics-informed self-supervised learning methods.
  • Implemented a Physics-Informed Self-Supervised Diagnosis (PI-SSD) framework.
  • Used a multi-resolution convolutional encoder and windowed Transformer for temporal analysis.
  • Incorporated a latent neural ordinary differential equation (ODE) module for mechanical priors.
  • Applied masked segment reconstruction objective for pretraining with unlabeled data.
  • Epplied an evidential classifier head to provide fault probabilities with calibrated uncertainty.
  • Achieved a Macro-F1 score of 0.91 on NASA dataset, the highest among seven benchmarks.
  • Obtained an Expected Calibration Error (ECE) of 0.022, indicating high reliability in predictions.
  • Demonstrated strong fault detection performance on Aalto dataset with Macro-F1 of 0.81.
  • Confirmed component contributions through ablation studies and low violation rates in physics consistency analysis.

Abstract

This paper proposes a novel Physics-Informed Self-Supervised Diagnosis (PI-SSD) framework for rotating machinery fault detection, combining physical modeling, self-supervised representation learning, and uncertainty-aware classification. The architecture integrates a multi-resolution convolutional encoder, a windowed Transformer for temporal context modeling, and a latent neural ordinary differential equation (ODE) module that embeds mechanical priors, such as Jeffcott rotor dynamics, directly into the learning process. A masked segment reconstruction objective enables self-supervised pretraining using unlabeled healthy signals, while an evidential classifier head produces fault probabilities with calibrated uncertainty. We evaluate PI-SSD on two publicly available datasets, the NASA PHM’09 Gearbox dataset and the Aalto Rotor dataset, covering 6 fault types and over 5,500 multichannel vibration recordings. Compared to seven strong baselines, PI-SSD achieves the highest Macro-F1 score (0.91) and lowest Expected Calibration Error (ECE = 0.022) on the NASA dataset, while maintaining strong domain transfer performance on Aalto (Macro-F1 = 0.81, PR-MSE = 0.067) without fine-tuning. Ablation studies confirm the contribution of each component, and physics consistency analysis demonstrates low violation rates under varying speeds. These results highlight the potential of embedding physics knowledge into self-supervised neural systems for robust, interpretable, and transferable fault diagnosis in industrial applications.

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Cite This Study

Amin et al. (2026) studied this question.

synapsesocial.com/papers/6984345ff1d9ada3c1fb26d1https://doi.org/10.1371/journal.pone.0339239
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