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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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3
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.

