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An interpretable surrogate modeling framework for rice husk ash concrete using copula-based virtual sampling.

Van Hiep Huynh1, Hung La2, Thi My Dung Huynh1

  • 1School of Civil Engineering, College of Engineering and Technology, Tra Vinh University, Hoa Thuan Ward, Vinh Long Province, Vietnam.

Scientific Reports
|June 5, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a new method for analyzing concrete strength, identifying key factors like cement and water content. This framework aids in designing stronger, more sustainable concrete mixes.

Keywords:
Copula-based samplingExtreme Gradient Boosting surrogate modelingGlobal sensitivity analysisPermutation-based sensitivity analysis

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Area of Science:

  • Materials Science
  • Civil Engineering
  • Computational Mechanics

Background:

  • Compressive strength of concrete is crucial for structural integrity.
  • Traditional sensitivity analysis often assumes input independence, which is unrealistic for concrete mix design.
  • Rice husk ash concrete offers sustainable benefits but requires careful mix design optimization.

Purpose of the Study:

  • To develop an interpretable and variance-aware sensitivity analysis framework for rice husk ash concrete.
  • To analyze the influence of correlated input variables on compressive strength.
  • To support sustainable and robust concrete mix design.

Main Methods:

  • Utilized Gaussian copula for virtual design space construction, preserving data dependencies.
  • Employed Extreme Gradient Boosting surrogate models optimized via Covariance Matrix Adaptation Evolution Strategy.
  • Applied a permutation-based sensitivity measure for global variance attribution under correlated inputs.

Main Results:

  • Achieved high predictive accuracy (mean R² = 0.974) for surrogate models.
  • Identified Cement, Water, and Age as dominant factors influencing compressive strength.
  • Revealed significant interaction effects, e.g., Cement-Water and Coarse aggregate-Superplasticizer.

Conclusions:

  • The proposed framework provides reliable and interpretable sensitivity analysis for correlated inputs.
  • Findings support the optimization of rice husk ash concrete mix design for sustainability.
  • External validation confirms the framework's practical relevance and robustness.