and Auxiliry Multitask Learning (Auxiliry) are 1 for each objective, while the Coefficient-of-Variantions Weighting (CoV) does not need an extra parameter. In the construction of the temperature-transferable CG model, we keep the bonded potentials (from T = 600 K) same for all CG-PS models and only optimize the pairwise potentials during the coasre-graining optimization process at target temperatures T = 400, 500, 600 K. RDFs and pressure from the AA-MD simulations at respective temperatures are used as target properties for Dif-fCG optimization. More details about the differentiable coarse-graining optimization can be found in Supporting Information.