journal article·2025-08-14Open access

Uncertainty-Aware Design of High-Entropy Alloys via Ensemble Thermodynamic Modeling and Search Space Pruning

Roman Dębski, Władysław Gąsior, Wojciech Gierlotka, Adam Dębski

Applied Sciences· Volume 15· Issue 16

Abstract

The discovery and design of high-entropy alloys (HEAs) faces significant challenges due to the vast combinatorial design space and uncertainties in thermodynamic data. This work presents a modular, uncertainty-aware computational framework with the primary objective of accelerating the discovery of solid-solution HEA candidates. The proposed pipeline integrates ensemble thermodynamic modeling, Monte Carlo-based estimation, and a structured three-phase pruning algorithm for efficient search space reduction. Key quantitative results are achieved in two main areas. First, for binary alloy thermodynamics, a Bayesian Neural Network (BNN) ensemble trained on domain-informed features predicts mixing enthalpies with high accuracy, yielding a mean absolute error (MAE) of 0.48 kJ/mol—substantially outperforming the classical Miedema model (MAE = 4.27 kJ/mol). These probabilistic predictions are propagated through Monte Carlo sampling to estimate multi-component thermodynamic descriptors, including ΔHmix and the Ω parameter, while capturing predictive uncertainty. Second, in a case study on the Al-Cu-Fe-Ni-Ti system, the framework reduces a 2.4 million (2.4 M) candidate pool to just 91 high-confidence compositions. Final selection is guided by an uncertainty-aware viability metric, P(HEA), and supported by interpretable radar plot visualizations for multi-objective assessment. The results demonstrate the framework’s ability to combine physical priors, probabilistic modeling, and design heuristics into a data-efficient and interpretable pipeline for materials discovery. This establishes a foundation for future HEA optimization, dataset refinement, and adaptive experimental design under uncertainty.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: High Entropy Alloys Studies · Machine Learning in Materials Science · Advanced Materials Characterization Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Faculty of Computer Science, AGH University of Krakow, 30-059 Krakow, Poland

Institute of Metallurgy and Materials Science of Polish Academy of Sciences, 30-059 Krakow, Poland

Department of Materials Science and Engineering, National Dong Hwa University, Hualien 974301, Taiwan

Funding

Institute of Metallurgy and Materials Science of the Polish Academy · Polish Ministry of Science and Higher Education

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