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. 2022 Aug 9;23:171. doi: 10.1186/s13059-022-02739-2

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© The Author(s) 2022

Open AccessThis 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/. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated in a credit line to the data.

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Fig. 5 — JI, C-index, silhouette score, and Davies Bouldin score of the ten unsupervised methods for clustering on single-cell multi-omics datasets. An external index JI (a) and three internal indices C-index, silhouette score and Davies Bouldin score (b, c, d) were calculated based on the clustering on the single-cell data. The cluster number is three. The k-means clustering was run over 1000 times. The results of a are presented as mean values of JIs