- Correction
- Open Access
- Published:

# Correction to: JOINT for large-scale single-cell RNAsequencing analysis via soft-clustering and parallel computing

*BMC Genomics*
**volume 22**, Article number: 223 (2021)

**Correction to: BMC Genomics 22, 47 (2021)**

**https://doi.org/10.1186/s12864-020-07302-6**

Following publication of the original article [1], several errors were identified in the “JOINT algorithm” and the “Imputation algorithm for data visualization” sub-sections, as well as in the Additional files and their captions.

In the “JOINT algorithm” sub-section the first two equations contained errors, which are shown below:

**Incorrect**

In the JOINT algorithm we consider a general mixture model

where *x* is observed count number, *k* is the number of cell-types, *π*_{k} is the probability of choosing cell-type *k* and *f*_{k}(*x*|*θ*_{k}) is the probability of observing *x* given parameters *θ*_{k} in cell-type *k*. Given *x* and *θ*_{k}, we compute the posterior probability of observed counts *x* from cell-type *k* as

**Correct**

In the JOINT algorithm we consider a general mixture model

where *x* is observed count number, *k* is the number of cell-types, *π*_{k} is the probability of choosing cell-type *k* and *f*_{k}(*x*|*θ*_{k}) is the probability of observing *x* given parameters *θ*_{k} in cell-type *k*. Given *x* and *θ*_{k}, we compute the posterior probability of observed counts *x* from cell-type *k* as

In the “Imputation algorithm for data visualization” sub-section the below equation was missing following the sentence “The mean of each component *l* is *s*_{c}*m*_{g,k,l} where”:

Finally, it was noted that there were several typographical errors in the Additional file captions in the PDF version of the published articles, which have been corrected.

The original article has been updated.

## Reference

- 1.
Cui T, Wang T. JOINT for large-scale single-cell RNA-sequencing analysis via soft-clustering and parallel computing. BMC Genomics. 2021;22:47 https://doi.org/10.1186/s12864-020-07302-6.

## Author information

### Affiliations

### Corresponding authors

## 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/. 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.

## About this article

### Cite this article

Cui, T., Wang, T. Correction to: JOINT for large-scale single-cell RNAsequencing analysis via soft-clustering and parallel computing.
*BMC Genomics* **22, **223 (2021). https://doi.org/10.1186/s12864-021-07408-5

Published: