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Updated: Mar 6, 2026

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Published on: June 27, 2025
Machine Learning-Enhanced Feature Engineering for High-Fidelity Quasi-Isentropic Waveform Prediction under Data
Zhiqiang Liu1,2, Ruizhi Zhang3,2, Ziqi Wu1,2
1State Key Lab of Advanced Technology for Materials Synthesis and Processing, Wuhan University of Technology, Wuhan 430070, China.
This study introduces a physics-guided machine learning (PGML) framework to accurately predict material loading waveforms using minimal data. The method enhances material safety and design efficiency by integrating physical laws into AI.
Area of Science:
- Materials Science
- Computational Physics
- Machine Learning
Background:
- Quasi-isentropic loading is crucial for determining material dynamic physical parameters and ensuring material safety.
- Acquiring these parameters often requires extensive experimental data or complex simulations, especially under data-scarce conditions.
Purpose of the Study:
- To develop a physics-guided machine learning (PGML) framework for high-fidelity prediction of quasi-isentropic loading waveforms.
- To address challenges of data scarcity in dynamic material characterization.
Main Methods:
- Integrating physical principles (shock propagation) and an attention mechanism into a machine learning model.
- Utilizing mathematically regulated inductive biases and deep feature engineering.
- Employing a 4x4 augmentation strategy for enhanced small-data prediction.
Main Results:
- Achieved R-squared > 0.96 and Mean Absolute Error (MAE) of 18.5 m/s with only 528 samples.
- Reduced shape alignment error by over 35% compared to baseline methods.
- Demonstrated breakthrough performance in accuracy and training efficiency across various impact velocities.
Conclusions:
- The PGML framework offers a data-efficient paradigm for graded structure material design.
- The approach significantly reduces reliance on resource-intensive simulations and experiments.
- SHAP analysis identified key parameters (Hill coefficient and curvature modulation parameter) influencing waveform modulation, providing interpretable insights.
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