“…For example, whether the difference in scores between 0.3 and 0.4 has the same phenotypic magnitude as between scores of 0.6 and 0.7. This limitation is also common to approaches that use non-linear dimensionality reduction (Copperman et al, 2021; Eulenberg et al, 2017; Jacques et al, 2021; Rappez et al, 2020; Stallaert et al, 2022; Wang et al, 2022; Wu et al, 2022) and could also limit unsupervised state representations that can be dominated by features that do not relate to the cell state (Copperman et al, 2021; Jacques et al, 2021; Wang et al, 2022; Wu et al, 2022). Still, the monotonicity property holds, e.g., a differentiation score of 0.4 is predicted to be more advanced along the differentiation trajectory than a differentiation score of 0.3.…”