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Fig. 11

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Distribution of log10(χsingle 2/χbinary 2)${\log _{10}}\left( {\chi _{{\rm{single\;}}}^2/\chi _{{\rm{binary\;}}}^2} \right)$ for a subset of Gaia DR3 XP spectra, illustrating the statistical separation between single-star and binary models. The histogram shows the frequency of sources as a function of ∆χ2, with the classifiation based on an optimal threshold S (calibrated to maximize the Fβ-score with β = 0.5) used to classify binary systems.

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