Reconstruction results for the N_side = 90 spatial resolution. The first row shows the D = 4 true maps that each estimator tries to reconstruct. The obtained reconstructions are shown below the true maps. The first estimator is “MLE (le)”: the MLE evaluated using the PMALA kernel only, that is, only local exploration. The second estimator is “MLE (ge)”: the MLE evaluated using both the PMALA and MTM kernels, that is, a combination of local and global exploration. The third to fifth estimators are MAP estimators (i.e., including spatial regularization) with different values for the regularization weight, τ_d. The sixth estimator is the MMSE, obtained with sampling. The associated regularization weight, τ_d, is inferred along with the physical parameters, Θ. The last row, “UF 68%”, quantifies the uncertainties associated with the MMSE by indicating the size of the 68% CI. The maps on the right display the ratios between the estimated and true maps, to better assess the quality of each estimation.