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Tang et al. J. Mater. Inf. 2025, 5, 38  https://dx.doi.org/10.20517/jmi.2025.05  Page 13 of 19






























                Figure 7. Component functions of the additive model for Nb -Nb Si  alloys. See Supplementary Figures 2-4 for the plots of the
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                component functions for other Nb Si  alloys.
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                                   Figure 8. Component functions of the additive model for the combined dataset.



               CONCLUSIONS
               To elucidate fundamental alloying effects of multi-component alloys, it is crucial to develop accurate ML
               methods to predict the formation energies of Nb and Nb-Nb Si  eutectic alloys substituted with various
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               alloying elements in the Nb and Nb Si  phases. Various complex factors influence the accuracy of ML
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               prediction. This case study is instructive, in particular, because it presents the problem of ML of materials
               properties from relatively sparse data often encountered in doped materials systems, and it presents a typical
               doped system where the data can be naturally divided into subsets based on the type of substitutional site.
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