Parameter correlations from posterior samples of each star, assuming uniform priors on |$[{\rm Fe/H}]$| and |$A_0$|⁠, for the uniform sample of stars with |$\sigma _{\text{floor}}=0.05$| mag. We display the correlation between extinction (mag) and the effective temperature (K), log surface gravity (dex), and other model parameters, respectively. |$M_G$| refers to Gaia absolute G magnitudes. Moreover, in the bottom-right plot, we display the correlation between metallicity and effective temperature. We see that when using uniform priors and assuming a non-zero value of |$\sigma _{\text{floor}}$| there are significant degeneracies between the extinction, metallicity (dex), and the effective temperature. These degeneracies are inherent to the likelihood and some constraint on one of these parameters is necessary to reduce the width of the extinction posterior. d is in pc, m is a multiple of |$\mathrm{ M}_\odot$|⁠, and |$\log (\rm {age})$| is in |$\log (\rm {yr})$|⁠.