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February 2, 2026Materials0 citationsOpen Access

Hardness Prediction of MoNbTaW Alloy Films Based on Machine Learning and Interpretability Analysis

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YYYanhan YangXi’an University of Posts and TelecommunicationsTZTian-You ZhuXi’an University of Posts and TelecommunicationsWRWei RenNorthwestern Polytechnical University

Key Points

  • The research aims to develop an effective machine learning model for predicting the hardness of MoNbTaW high-entropy alloy films.
  • Developed a machine learning framework using ridge regression algorithm.
  • Compared various feature-screening strategies to identify key features.
  • Selected an optimized feature set comprising δG, Λ, and Ω from 20 candidate features.
  • Conducted 10-fold cross-validation for model validation.
  • Achieved an R2 of 0.86, RMSE of 0.41 GPa, and MAE of 0.31 GPa in cross-validation.
  • On the reserved validation set, R2 improved to 0.88 with RMSE of 0.37 GPa and MAE of 0.31 GPa.
  • Revealed trends in how constituent elements influence hardness.

Abstract

Machine learning (ML) offers a powerful paradigm for accelerating performance prediction of high-entropy alloys (HEAs). The present study proposed an ML framework based on the ridge regression algorithm for predicting the hardness of MoNbTaW HEA films. By comparing various feature-screening strategies, an optimized feature set comprising three features, namely δG, Λ, and Ω, was selected from 20 candidate physical features. The model based on this feature set exhibited strong predictive performance. In 10-fold cross-validation, R2 was 0.86, RMSE was 0.41 GPa and MAE was 0.31 GPa. On the reserved validation set, R2 was 0.88, RMSE was 0.37 GPa, and MAE was 0.31 GPa. The model further revealed the influence trends of constituent elements and key features on hardness. By using ML to mine useful information from a dataset of HEA film samples prepared via magnetron sputtering, this work provides an approach for rapid and cost-effective design of HEAs.

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Cite This Study

Yang et al. (2026) studied this question.

synapsesocial.com/papers/6980fd60c1c9540dea80f221https://doi.org/10.3390/ma19030543
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