Correction to: Nature https://doi.org/10.1038/s41586-025-09529-3 Published online 17 September 2025

In the version of this article initially published, in the Methods “Exponential waiting time model” section, there was a typographical error in the equation now reading “lossj = – log P(j) = cross_entropy(logits, tokens),” where a minus sign originally appeared before the cross-entropy term. The equation has been amended in the HTML and PDF versions of the article.

Author information

Author notes

These authors contributed equally: Artem Shmatko, Alexander Wolfgang Jung, Kumar Gaurav

Authors and Affiliations

Division of AI in Oncology, German Cancer Research Centre DKFZ, Heidelberg, Germany

Artem Shmatko & Moritz Gerstung 1.

European Molecular Biology Laboratory, European Bioinformatics Institute EMBL-EBI, Hinxton, UK

Artem Shmatko, Alexander Wolfgang Jung, Kumar Gaurav, Ewan Birney, Tom Fitzgerald & Moritz Gerstung 1.

Faculty of Biosciences, Heidelberg University, Heidelberg, Germany

Artem Shmatko 1.

Novo Nordisk Foundation Center for Protein Research, Faculty of Health and Medical Sciences, University of Copenhagen, Copenhagen, Denmark

Alexander Wolfgang Jung & Søren Brunak 1.

Statistics Denmark, Copenhagen, Denmark

Alexander Wolfgang Jung & Laust Hvas Mortensen 1.

Department of Biosystems Science and Engineering, ETH Zurich, Basel, Switzerland

Alexander Wolfgang Jung 1.

Department of Public Health, University of Copenhagen, Copenhagen, Denmark

Søren Brunak & Laust Hvas Mortensen 1.

ROCKWOOL Foundation, Copenhagen, Denmark

Laust Hvas Mortensen 1.

Faculty of Mathematics and Computer Science, Heidelberg University, Heidelberg, Germany

Moritz Gerstung 1.

Robert Bosch Center for Tumor Diseases, Stuttgart, Germany

Moritz Gerstung 1.

Medical Faculty, Eberhard-Karls-University, Tübingen, Germany

Moritz Gerstung 1.

University Hospital Tübingen, Tübingen, Germany

Moritz Gerstung

Authors

1. Artem Shmatko
2. Alexander Wolfgang Jung
3. Kumar Gaurav
4. Søren Brunak
5. Laust Hvas Mortensen
6. Ewan Birney
7. Tom Fitzgerald
8. Moritz Gerstung

Corresponding authors

Correspondence to Ewan Birney, Tom Fitzgerald or Moritz Gerstung.

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Reprints and permissions

About this article

Cite this article

Shmatko, A., Jung, A.W., Gaurav, K. et al. Author Correction: Learning the natural history of human disease with generative transformers. Nature (2025). https://doi.org/10.1038/s41586-025-09879-y

Download citation

Published: 12 November 2025

Version of record: 12 November 2025

DOI: https://doi.org/10.1038/s41586-025-09879-y