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    Modularity clustering for single-cell RNA sequencing (scRNAseq) cell type identification is limited by its resolution parameter. This study defines splitting resolution, revealing how parameter choices impact cell type inference accuracy and error tradeoffs.

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    Area of Science:

    • Computational Biology
    • Network Science
    • Genomics

    Background:

    • Modularity clustering is widely used for community detection in networks and cell type identification in single-cell RNA sequencing (scRNAseq) data.
    • The resolution parameter in modularity clustering implicitly determines the number of inferred clusters, but its effect on scRNAseq analysis is not well-described.
    • Improper resolution parameter selection can lead to Type I or Type II errors in cell type identification.

    Purpose of the Study:

    • To explicitly describe clustering as a function of the resolution parameter by introducing the concept of splitting resolution.
    • To analyze the behavior of splitting resolutions in k-nearest neighbor graphs derived from cell embeddings.
    • To provide insights into the tradeoffs between Type I and Type II errors in cell type inference based on the chosen resolution parameter.

    Main Methods:

    • Introduced the notion of splitting resolution as the minimum resolution at which a graph or subgraph splits into multiple clusters.
    • Derived formulas for splitting resolution in k-nearest neighbor graphs based on normal distributions, considering sample size, embedding dimension, and covariance structure.
    • Approximated cell embeddings from seven scRNAseq datasets using Gaussian mixtures to connect theoretical findings to real-world data.

    Main Results:

    • Demonstrated that the splitting resolution of a disconnected subgraph is inversely proportional to its frequency within the graph.
    • Extended the resolution limit theory to general resolution parameter values, highlighting a limitation of modularity clustering for cell type inference.
    • Derived explicit formulas for splitting resolutions in graphs formed from normally distributed cell embeddings.

    Conclusions:

    • The choice of resolution parameter in modularity clustering significantly impacts cell type identification accuracy in scRNAseq data.
    • Understanding splitting resolutions provides a framework for analyzing and mitigating errors (Type I and Type II) in cell type inference.
    • This work offers a theoretical basis for optimizing the resolution parameter in scRNAseq analysis to improve cell type identification.