Physics-Informed Feature Engineering and R 2 -Based Signal-to-Noise Ratio Feature Selection to Predict Concrete Shear Strength

Trevor J. Bihl (), William A. Young and Adam Moyer
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Trevor J. Bihl: School of Electrical Engineering and Computer Science, Ohio University, Athens, OH 45701, USA
William A. Young: College of Business, Ohio University, Athens, OH 45701, USA
Adam Moyer: College of Business, Ohio University, Athens, OH 45701, USA

Mathematics, 2025, vol. 13, issue 19, 1-18

Abstract: Accurate prediction of reinforced concrete shear strength is essential for structural safety, yet datasets often contain a mix of raw geometric and material properties alongside physics-informed engineered features, making optimal feature selection challenging. This study introduces a statistically principled framework that advances feature reduction for neural networks in three novel ways. First, it extends the artificial neural network-based signal-to-noise ratio (ANN-SNR) method, previously limited to classification, into regression tasks for the first time. Second, it couples ANN-SNR with a confidence-interval (CI)-based stopping rule, using the lower bound of the baseline ANN’s R 2 confidence interval as a rigorous statistical threshold for determining when feature elimination should cease. Third, it systematically evaluates both raw experimental variables and physics-informed engineered features, showing how their combination enhances both robustness and interpretability. Applied to experimental concrete shear strength data, the framework revealed that many low-SNR features in conventional formulations contribute little to predictive performance and can be safely removed. In contrast, hybrid models that combined key raw and engineered features consistently yielded the strongest performance. Overall, the proposed method reduced the input feature set by approximately 45% while maintaining results statistically indistinguishable from baseline and fully optimized models ( R 2 ≈ 0.85). These findings demonstrate that ANN-SNR with CI-based stopping provides a defensible and interpretable pathway for reducing model complexity in reinforced concrete shear strength prediction, offering practical benefits for design efficiency without compromising reliability.

Keywords: artificial neural networks; Bayesian optimization; concrete shear strength; feature selection; physics-informed features (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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