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Table 1 Parameters of the hierarchical gamma-negative binomial (hGNB) model and their interpretations in the context of scRNA-seq data

From: Bayesian gamma-negative binomial modeling of single-cell RNA sequencing data

Parameter

Constraint

Interpretation

rj

rj>0

Expression heterogeneity of genes in sample j

Ï•vk

\(\sum _{v=1}^{V} \phi _{vk}=1, \phi _{vk}>0\)

Gene-latent factor association

θjk

θkj>0

Popularity of factor k in sample j

βvp

\(\beta _{vp} \in \mathbb {R}\)

Impact of cell covariate p on expression of gene v

δjq

\(\beta _{vp} \in \mathbb {R}\)

Impact of gene covariate q on expression of cell j

  1. The inputs of hGNB are gene counts nvj and vector of cell- and gene-level covariates xj and zv