# Author Correction: scDesign2: a transparent simulator that generates high-fidelity single-cell gene expression count data with gene correlations captured

The Original Article was published on 25 May 2021

Following the publication of the original paper , the authors identified two errors in the notation and formulas in the Methods section.

Equation (1) in the online version.

The first error is the $$U_{ij}$$ expression. Specifically, Eq. (1) should be corrected as

\begin{aligned} U_{ij}=(1-V_{ij})F_i(X_{ij}-1)+V_{ij}F_i(X_{ij})\,. \end{aligned}
(1)

The end of the derivation of Eq. (1) in the online version.

Accordingly, at the end of the derivation of

\begin{aligned} U_{ij}= & {} \tilde{F}_i(X_{ij} + V_{ij}) = F_i(X_{ij} - 1) + V_{ij}\left( F_i(X_{ij}) - F_i(X_{ij}-1)\right) \\= & {} V_{ij}F_i(X_{ij}-1)+(1-V_{ij})F_i(X_{ij})\, , \end{aligned}

The last line should be changed to

\begin{aligned} U_{ij}= & {} \cdots \\= & {} (1-V_{ij})F_i(X_{ij}-1)+V_{ij}F_i(X_{ij})\,, \end{aligned}

The second error is one notation in the sentence just before the above-corrected expression. In “Hence, $$\tilde{X}_{ij} \sim \tilde{F}_i$$; that is, the continuous random variable $$\tilde{X}_{ij}$$ constructed from $$X_{ij}$$ and $$V_{ij}$$ follows $$\tilde{F}_{ij}$$”, at the end, $$\tilde{F}_{ij}$$ should be corrected as $$\tilde{F}_{i}$$.

The authors confirm that the notational errors corrected here had no effect on the conclusions or the performance of the method scDesign2.

## Reference

1. Sun T, Song D, Li WV, et al. scDesign2: a transparent simulator that generates high-fidelity single-cell gene expression count data with gene correlations captured. Genome Biol. 2021;22:163. https://doi.org/10.1186/s13059-021-02367-2.

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Authors

### Corresponding authors

Correspondence to Wei Vivian Li or Jingyi Jessica Li.

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