Distribution of true versus reconstructed field values. Left panel: distribution of true versus reconstructed density values for the NN (blue) and WF (orange) reconstructions in the validation mocks, represented as shaded areas bounded by the iso-density contours of the distribution. Going from a darker to lighter hue, the shaded areas contain 50, 90, and 99% of all the points, respectively. The conditional mean true values and the 68% most likely true values for a given reconstructed value are shown as solid lines and error bars, respectively. The average reconstructed values for a given true value are shown as dashed lines (understood as a function of the true values). For reference, the diagonal is marked with a dotted line. Right panel: same for the peculiar velocity components.