Correction to: Communications Biology https://doi.org/10.1038/s42003-025-08411-2, published online 09 July 2025

In the version of this article initially published, titles and legends for Figs. 4 and 5 (now beginning “Effects of training on causal emergence occur in five distinct types” and “GRNs exhibit distinct patterns of causal emergence with respect to the effects of training,” respectively) were mistakenly interchanged and are now amended in the HTML and PDF versions of the article.