A Quantile Regression Approach for Remaining Useful Life Estimation with State Space Models

Predictive Maintenance (PdM) is pivotal in Industry 4.0 and 5.0, proactively enhancing efficiency through accurate equipment Remaining Useful Life (RUL) prediction, thus optimizing maintenance scheduling and reducing unexpected failures and premature interventions. This paper introduces a novel RUL estimation approach leveraging State Space Models (SSM) for efficient long-term sequence modeling. To handle model uncertainty, Simoultaneous Quantile Regression (SQR) is integrated into the SSM, enabling multiple quantile estimations. The proposed method is benchmarked against traditional sequence modelling techniques (LSTM, Transformer, Informer) using the C-MAPSS dataset. Results demonstrate superior accuracy and computational efficiency of SSM models, underscoring their potential for high-stakes industrial applications.

@article{frizzo2025_2506.17018,
  title={ A Quantile Regression Approach for Remaining Useful Life Estimation with State Space Models },
  author={ Davide Frizzo and Francesco Borsatti and Gian Antonio Susto },
  journal={arXiv preprint arXiv:2506.17018},
  year={ 2025 }
}