Results of the NN analysis of the Hubble diagram of supernovae (blue points in the middle panel) and quasars (red points). Top panel: estimated values of I(z) for different values of Ω_M. Central panel: Hubble diagram with the reconstructed best-fit function obtained from the NN analysis. Bottom panel: Loss values for different values of Ω_M. Notice that the solution visually closer (accounting for statistical errors) to the reference ΛCDM profile yields a significantly larger loss value and, as such, should be disregarded. The Loss is indeed nearly flat for Ω_M < 0.3.