Compound models and Pearson residuals for single-cell RNA-seq data without UMIs

Recent work employed Pearson residuals from Poisson or negative binomial models to normalize UMI-based scRNA-seq data. To extend this approach to non-UMI data, we model the amplification step with a compound distribution: we assume that captured RNA molecules follow a negative binomial distribution and are replicated following an amplification distribution. This model leads to compound Pearson residuals, yielding meaningful gene selection and embeddings of Smart-seq2 datasets. Furthermore, we show that amplification distributions across several sequencing protocols can be described by a broken power law. The resulting compound model captures previously unexplained overdispersion and zero-inflation patterns in non-UMI data.

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Publication Details

Journal
Genome biology
Published
2026-06-27
DOI
https://doi.org/10.1186/s13059-026-04161-4
Primary Topic
Single-cell and spatial transcriptomics
Type
article
Field-Weighted Citation Impact
0.00

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article

Compound models and Pearson residuals for single-cell RNA-seq data without UMIs

Philipp Berens, Dmitry Kobak, Christoph Ziegenhain, Jan Lause et al.
Genome biology
Single-cell and spatial transcriptomics
article

Compound models and Pearson residuals for single-cell RNA-seq data without UMIs

Philipp Berens, Dmitry Kobak, Christoph Ziegenhain, Jan Lause, Leonard Hartmanis
article en

Abstract

Recent work employed Pearson residuals from Poisson or negative binomial models to normalize UMI-based scRNA-seq data. To extend this approach to non-UMI data, we model the amplification step with a compound distribution: we assume that captured RNA molecules follow a negative binomial distribution and are replicated following an amplification distribution. This model leads to compound Pearson residuals, yielding meaningful gene selection and embeddings of Smart-seq2 datasets. Furthermore, we show that amplification distributions across several sequencing protocols can be described by a broken power law. The resulting compound model captures previously unexplained overdispersion and zero-inflation patterns in non-UMI data.

Genome biology
HOGENT University of Applied Sciences and Arts (BE), Karolinska Institutet (SE), Ghent University (BE), VIB-UGent Center for Plant Systems Biology (BE), VIB-UGent Center for Inflammation Research (BE), Hertie Institute for Clinical Brain Research (DE), VIB-UGent Center for Medical Biotechnology (BE), University of Tübingen (DE)
European Commission, Eberhard Karls Universität Tübingen, Vetenskapsrådet, National Institute of Neurological Disorders and Stroke
Peace, Justice and strong institutions
Openalex Percentile: Top 10%
Single-cell and spatial transcriptomics
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