“…Learning the number of fluorophores within an ROI is a key step toward unraveling processes below the diffraction limit [5,12,2,23,24,25,26,27,28,29,30,31,32,33,34,10,11,12,13,14,15,16,17,18,19,20,21,56]. In order to go beyond the state of the art and enumerate as many as five times more fluorophores, we must accurately account for all the following: 1) fluorophore photophysics; 2) models for shot and detector noise; 3) provide full credible intervals (error bars) about the estimates; and 4) exploit every data point available without pre-or post-processing.…”