
==== Front
Genome Biol
Genome Biol
Genome Biology
1474-7596
1474-760X
BioMed Central London

3378
10.1186/s13059-024-03378-5
Publisher Correction
Publisher Correction: scParser: sparse representation learning for scalable single-cell RNA sequencing data analysis
Zhao Kai 1
So Hon-Cheong hcso@cuhk.edu.hk

234567
Lin Zhixiang zhixianglin@cuhk.edu.hk

1
1 grid.10784.3a 0000 0004 1937 0482 Department of Statistics, The Chinese University of Hong Kong, Shatin, Hong Kong SAR China
2 grid.10784.3a 0000 0004 1937 0482 School of Biomedical Sciences, The Chinese University of Hong Kong, Shatin, Hong Kong SAR China
3 grid.10784.3a 0000 0004 1937 0482 KIZ-CUHK Joint Laboratory of Bioresources and Molecular Research of Common Diseases, Kunming Institute of Zoology and The Chinese University of Hong Kong, Shatin, Hong Kong SAR China
4 grid.10784.3a 0000 0004 1937 0482 Department of Psychiatry, The Chinese University of Hong Kong, Shatin, Hong Kong SAR China
5 https://ror.org/00t33hh48 grid.10784.3a 0000 0004 1937 0482 Margaret K.L. Cheung Research Centre for Management of Parkinsonism, The Chinese University of Hong Kong, Shatin, Hong Kong SAR China
6 grid.10784.3a 0000 0004 1937 0482 Brain and Mind Institute, The Chinese University of Hong Kong, Shatin, Hong Kong SAR China
7 https://ror.org/00t33hh48 grid.10784.3a 0000 0004 1937 0482 Hong Kong Branch of the Chinese Academy of Sciences Center for Excellence in Animal Evolution and Genetics, The Chinese University of Hong Kong, Shatin, Hong Kong SAR China
4 9 2024
4 9 2024
2024
25 238© The Author(s) 2024
2024
https://creativecommons.org/licenses/by-nc-nd/4.0/ Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, 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 you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. 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-nc-nd/4.0/.
issue-copyright-statement© BioMed Central Ltd., part of Springer Nature 2024
==== Body
pmc Publisher Correction: Genome Biol 25, 223 (2024)

https://doi.org/10.1186/s13059-024-03345-0

Following publication of the original article [1], the authors identified a typesetting error in Eq. 3, 4 and 10, as well as in Algorithm 1 equation. An erroneous “ll” was typeset at the start of the equations.

The incorrect and corrected versions are published in this correction article.

Incorrect equation (3)

3 llL(d,p,v,s,g)=12∑i,mzi,m-djTvm-ptTvm-siTgm2+12λ1∑j‖dj‖22+∑t‖dt‖22+∑m‖vm‖22+λ212(1-α)∑i‖si‖22+α∑i|si|1,subject to∑mgmk2≤c,∀k=1,…,K2.

Correct equation (3)

3 L(d,p,v,s,g)=12∑i,mzi,m-djTvm-ptTvm-siTgm2+12λ1∑j‖dj‖22+∑t‖dt‖22+∑m‖vm‖22+λ212(1-α)∑i‖si‖22+α∑i|si|1,subject to∑mgmk2≤c,∀k=1,…,K2.

Incorrect equation (4)

4 llL(D,P,V,S,G)=12Z-XDD+XPPV-SGF2+12λ1‖D‖F2+‖P‖F2+‖V‖F2+λ212(1-α)‖S‖F2+α‖S‖1subject toG222≤c,∀k=1,…,K2,

Correct equation (4)

4 L(D,P,V,S,G)=12Z-XDD+XPPV-SGF2+12λ1‖D‖F2+‖P‖F2+‖V‖F2+λ212(1-α)‖S‖F2+α‖S‖1subject toG222≤c,∀k=1,…,K2,

Incorrect equation (10)

10 llL(V,G)=12k∑j=1kZIj-XIjDDIj+XIjPPIjV-SIjGF2+12λ11k∑j=1kDIjF2+PIjF2+‖V‖F2+1k∑j=1kλ212(1-α)SIjF2+αSIj2,subject to‖Gk‖22≤c,∀k=1,…,K2.

Correct equation (10)

10 L(V,G)=12k∑j=1kZIj-XIjDDIj+XIjPPIjV-SIjGF2+12λ11k∑j=1kDIjF2+PIjF2+‖V‖F2+1k∑j=1kλ212(1-α)SIjF2+αSIj2,subject to‖Gk‖22≤c,∀k=1,…,K2.

Incorrect Algorithm 1

llAk←Ak-1-XIkDDk′+XIkPPk′TXIkDDk′+XIkPPk′Bk←Bk-1-Z~kTXIkDDk′+XIkPPk′Ek←Ek-1-Sk′TSk′Fk←Fk-1-Zk′TSk′.

 

Correct Algorithm 1

Ak←Ak-1-XIkDDk′+XIkPPk′TXIkDDk′+XIkPPk′Bk←Bk-1-Z~kTXIkDDk′+XIkPPk′Ek←Ek-1-Sk′TSk′Fk←Fk-1-Zk′TSk′.

The original article [1] is corrected.
==== Refs
Reference

1. Zhao K So HC Lin Z scParser: sparse representation learning for scalable single-cell RNA sequencing data analysis Genome Biol 2024 25 223 10.1186/s13059-024-03345-0 39152499
Zhao K, So HC, Lin Z. scParser: sparse representation learning for scalable single-cell RNA sequencing data analysis. Genome Biol. 2024;25:223. 10.1186/s13059-024-03345-0.39152499 10.1186/s13059-024-03345-0
