EAAI Journal 2026 Journal Article
Coupled data-driven and experience-informed neural networks for prediction of pile base resistance with consideration of data limitation
- Kailiang Weng
- Mincai Jia
- Thanh T. Nguyen
- Xingyuan Hu
- Gang Zhang
- Qingyuan Zeng
Recent advancements have witnessed the increasing integration of artificial intelligence (AI) methodologies into design and construction processes of various engineering matters. However, the purely data-based approaches are often overfitted to specific datasets without understanding of physics laws, resulting in data-driven models with limited out-of-distribution generalization capabilities and challenges in meeting the stringent requirements, especially when the reliable data is limited. To address these limitations, this study introduces a novel data-driven coupled with experience-informed approach. The proposed framework incorporates an Explicit Empirical Formula Network (EEFN) and an Implicit Empirical Information Network (IEIN), designed to enhance the model's generalization capability, particularly for predicting base resistance of pile. The EEFN generates predictions by identifying unknown parameters within empirical formulas and then subsequently substituting them into the respective equations. In contrast, the IEIN utilizes empirical information as prior knowledge to guide both the network and the loss function, enabling the direct calculation of prediction results that satisfy pile constraints across various stages. A comparative analysis of EEFN and IEIN against Backpropagation Neural Networks (BPNN) and Deep Operator Network (DeepOnet) was conducted using field load testing data from 37 high-rise building projects in Ho Chi Minh City, Vietnam, spanning from 2010 onward. The evaluation focused on the models' abilities to generalize both global patterns and individual characteristics beyond their training distributions. The results indicate that, when data is large enough, the IEIN exhibits superior generalization capabilities for global patterns, whereas the EEFN can significantly enhance the generalization of individual information, contingent upon the alignment between empirical equations and data. When data are limited, the IEIN outperforms alternative models in both generalization and robustness across domains. Consequently, the proposed model improves the use of experimental data and aligns with the inherent development principles of pile base resistance. This learning framework is particularly well suited for predicting pile base resistance in both long and super-long piles.