ROC curves for the NACO, SPHERE, and LMIRCam data sets, with respectively the KLIP RSM map using the Gaussian maximum likelihood for the pre-optimisation of the flux parameter β (red), the KLIP RSM map with no flux pre-optimisation (NF), which relies on the standard maximum likelihood used in the original RSM map for the estimation of flux parameter β (blue), and the KLIP RSM map using the forward-backward approach for the probability estimation instead of the original forward approach (green). (a) NACO at 2λ/D, (b) SPHERE at 2λ/D, (c) LMIRCam at 2λ/D, (d) NACO at 8λ/D, (e) SPHERE at 8λ/D, (f) LMIRCam at 8λ/D.