“…Learning the number of molecules located within a molecular cluster, while simultaneously and self-consistently determining the dynamics of the cluster’s constituent members, is a key step toward unraveling life’s processes occurring well below light’s diffraction limit [ 27 , 15 , 2 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 12 , 13 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 56 ]. In order to do so, we introduced a Bayesian nonparametric framework that accurately models the photophysics, shot noise, and detector noise that gives rise to the data, along with sampling methods capable of exploring this high dimensional probability space.…”