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Accurate and Uncertainty-Aware Multi-Task Prediction of HEA Properties Using Prior-Guided Deep Gaussian Processes

13 June 2025
Sk Md Ahnaf Akif Alvi
Mrinalini Mulukutla
Nicolas Flores
Danial Khatamsaz
Jan Janssen
Danny Perez
D. Allaire
V. Attari
Raymundo Arroyave
    AI4CE
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Main:13 Pages
7 Figures
Bibliography:2 Pages
3 Tables
Abstract

Surrogate modeling techniques have become indispensable in accelerating the discovery and optimization of high-entropy alloys(HEAs), especially when integrating computational predictions with sparse experimental observations. This study systematically evaluates the fitting performance of four prominent surrogate models conventional Gaussian Processes(cGP), Deep Gaussian Processes(DGP), encoder-decoder neural networks for multi-output regression and XGBoost applied to a hybrid dataset of experimental and computational properties in the AlCoCrCuFeMnNiV HEA system. We specifically assess their capabilities in predicting correlated material properties, including yield strength, hardness, modulus, ultimate tensile strength, elongation, and average hardness under dynamic and quasi-static conditions, alongside auxiliary computational properties. The comparison highlights the strengths of hierarchical and deep modeling approaches in handling heteroscedastic, heterotopic, and incomplete data commonly encountered in materials informatics. Our findings illustrate that DGP infused with machine learning-based prior outperform other surrogates by effectively capturing inter-property correlations and input-dependent uncertainty. This enhanced predictive accuracy positions advanced surrogate models as powerful tools for robust and data-efficient materials design.

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@article{alvi2025_2506.14828,
  title={ Accurate and Uncertainty-Aware Multi-Task Prediction of HEA Properties Using Prior-Guided Deep Gaussian Processes },
  author={ Sk Md Ahnaf Akif Alvi and Mrinalini Mulukutla and Nicolas Flores and Danial Khatamsaz and Jan Janssen and Danny Perez and Douglas Allaire and Vahid Attari and Raymundo Arroyave },
  journal={arXiv preprint arXiv:2506.14828},
  year={ 2025 }
}
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