“…The content will be organized as follows. Part 2 describes fundamental challenges in molecular modeling; Part 3 summarizes application of these two fundamental algorithmic principles in two lines of methodological research, coarse graining (CG) [ 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 ] and enhanced sampling (ES) [ 28 , 29 , 30 , 31 ]; Part 4 covers how machine learning, particularly deep learning, facilitates DC and “caching” in CG and ES [ 29 , 30 , 32 , 33 , 34 , 35 ], Part 5 introduces local free energy landscape (LFEL) approach, a new framework for computational molecular science based on partially transferable in resolution “caching” of local sampling. The first implementation of this new framework in protein structural refinement based on generalized solvation free energy (GSFE) theory [ 36 ] is briefly discussed; and Part 6 discusses connections among these three lines of algorithmic development, their specific advantages and prospective explorations.…”