Correction to: Nature Methods https://doi.org/10.1038/s41592-021-01216-1, published online 26 July 2021.

In the version of this article initially published, a composition error appeared in two places. In the penultimate sentence in the third paragraph of the “A winding trajectory of cell state progression” subsection, in the text now reading “Moreover, undirectional transitions were widely observed in cells within clonal cell lineages that produced an identical cell type (Fig. 6e),” the word “undirectional” initially appeared as “unidirectional.” The current Fig. 6 (“Systematic undirectional state transition during cell differentiation”) was affected by the same error. The changes have been made to the HTML and PDF versions of the article.