“…To benchmark UTAG against other methods for high-order tissue structure inference, we ran SpaGene 25 and SpatialLDA 26 on both datasets for which we have ground truth annotation of microanatomical domains. For this purpose, we also reran UTAG using a max_dist of 15 for both datasets, under Leiden clustering resolutions of 0.05, 0.07, 0.1, 0.3, 0.5, 0.8, 1.0 and 2.0, which resulted in 3,5,10,11,14,17,19,25,31 and 55 clusters for the healthy lung data, and 3, 4, 6, 22, 23, 27, 38 and 61 clusters for the UTUC data. We intentionally do not use the interpreted annotations in Fig.…”