Probabilistic Modeling and Prediction of Continuous FRP Degradation Curves Based on CSDI Diffusion Models

Traditional FRP durability forecasting predominantly treats performance evolution as a discrete "point-to-point" regression, inherently overlooking temporal coherence and stochastic uncertainty. This study proposes a novel probabilistic framework based on the CSDI diffusion model to reconstruct continuous FRP degradation curves. By formulating long-term forecasting as a conditional imputation task, the methodology generates physically consistent performance trajectories from sparse experimental observations. Results from a multi-factor database demonstrate that CSDI enables a paradigm shift to continuous sequence generation, achieving high predictive accuracy (RMSE = 0.332, R<sup>2</sup> = 0.86) and robust probabilistic calibration (CRPS = 0.170) at a 30% missing ratio. This approach establishes a reliable probabilistic risk envelope, providing a scientific tool for the life-cycle reliability assessment of FRP structures under small-sample constraints.

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Publication Details

Journal
Polymers
Published
2026-02-27
DOI
https://doi.org/10.3390/polym18050587
Primary Topic
Reliability and Maintenance Optimization
Type
article
Field-Weighted Citation Impact
0.00

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article

Probabilistic Modeling and Prediction of Continuous FRP Degradation Curves Based on CSDI Diffusion Models

Wenwei Wang, Hui Shen, Yuan Yue, Jing-Xian Shi et al.
Polymers
Reliability and Maintenance Optimization
article

Probabilistic Modeling and Prediction of Continuous FRP Degradation Curves Based on CSDI Diffusion Models

Wenwei Wang, Hui Shen, Yuan Yue, Jing-Xian Shi, Ming-Li Zhou, Lei Zhang, Bai-Chun Liang
article en

Abstract

Traditional FRP durability forecasting predominantly treats performance evolution as a discrete "point-to-point" regression, inherently overlooking temporal coherence and stochastic uncertainty. This study proposes a novel probabilistic framework based on the CSDI diffusion model to reconstruct continuous FRP degradation curves. By formulating long-term forecasting as a conditional imputation task, the methodology generates physically consistent performance trajectories from sparse experimental observations. Results from a multi-factor database demonstrate that CSDI enables a paradigm shift to continuous sequence generation, achieving high predictive accuracy (RMSE = 0.332, R<sup>2</sup> = 0.86) and robust probabilistic calibration (CRPS = 0.170) at a 30% missing ratio. This approach establishes a reliable probabilistic risk envelope, providing a scientific tool for the life-cycle reliability assessment of FRP structures under small-sample constraints.

PolymersVol. 18(5)
Kunming University of Science and Technology (CN), Henan University (CN), Xuzhou Medical College (CN), Southeast University (BD), Xuzhou Construction Machinery Group (China) (CN), Second Affiliated Hospital of Xuzhou Medical College (CN), Southeast University (CN)
National Natural Science Foundation of China
Responsible consumption and production
Openalex Percentile: Top 53%
Reliability and Maintenance Optimization
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