“…In the context of network science, message-passing approaches have been used to shed a new light on several canonical problems such as epidemic spreading [5][6][7][8][9][10], resting neuronal activity [11], opinion dynamics [8,12,13], community detection [14], complex contagion [15], spectral analysis [16,17], spin models [8,18] and percolation [19][20][21][22][23][24][25][26][27][28]. While these different approaches rely on the assumption that the original network is locally tree-like, they are mostly intended for real complex networks that typically contain short loops.…”