Correction to: Nature Machine Intelligence https://doi.org/10.1038/s42256-023-00668-8. Published online 12 June 2023.

In the version of this article initially published, there was an error in the Code Ocean capsule listed in the Code availability statement, now reading https://codeocean.com/capsule/7809611/tree/v1, and in ref. 55, now listed as Kim, J. Z. & Bassett, D. S. A neural machine code and programming framework for the reservoir computer. Code Ocean https://doi.org/10.24433/CO.7077387.v1 (2023). The citations have been updated in the HTML and PDF versions of the article.