To obtain a functional form of Φ(µ (3) , µ (4) ) we apply an iterative approach as outlined in the schematic of Fig. . A large set of GBOM Hamiltonians is constructed through the random sampling of parameters across a broad, yet realistic, domain relevant to molecular systems (see SI Sec. VI). For a given GBOM, the ideal value for the dampening factor Φ is determined by varying Φ be-FIG. . Schematic for generating predictive prefactor plot. A large number of GBOMs is sampled to produce a predictive grid of Φ as a function of µ (3) and µ (4) that may then be applied to molecular dynamics (MD) simulations in realistic condensed phase systems.