“…An essential element of the proposed method is thus a graph-based representation of our object of interest, namely a protein. With their long and successful story both in the field of coarse-graining ( Gfeller and Rios, 2007 ; Webb et al, 2019 ; Li et al, 2020 ) and in the prediction of protein properties ( Borgwardt et al, 2005 ; Ralaivola et al, 2005 ; Micheli et al, 2007 ; Fout et al, 2017 ; Gilmer et al, 2017 ; Torng and Altman, 2019 ), graph-based learning models represent a rather natural and common choice to encode the (static) features of a molecular structure; here, we show that a graph-based machine learning approach can reproduce the results of mapping entropy estimate obtained by means of a much more time-consuming algorithmic workflow. To this end, we rely on Deep Graph Networks (DGNs) ( Bacciu et al, 2020 ), a family of machine learning models that learn from graph-structured data, where the graph has a variable size and topology; by training the model on a set of tuples (protein, CG mapping, and S map ), we can infer the S map values of unseen mappings associated with the same protein making use of a tiny fraction of the extensive amount of information employed in the original method, i.e., the molecular structure viewed as a graph.…”