51. Spectral clustering of single-cell multi-omics data on multilayer graphs
- Author
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Shuyi Zhang, Jacob R Leistico, Raymond J Cho, Jeffrey B Cheng, and Jun S Song
- Subjects
Statistics and Probability ,Computational Mathematics ,Computational Theory and Mathematics ,Sequence Analysis, RNA ,Cluster Analysis ,Single-Cell Analysis ,Original Papers ,Molecular Biology ,Biochemistry ,Algorithms ,Computer Science Applications - Abstract
Motivation Single-cell sequencing technologies that simultaneously generate multimodal cellular profiles present opportunities for improved understanding of cell heterogeneity in tissues. How the multimodal information can be integrated to obtain a common cell type identification, however, poses a computational challenge. Multilayer graphs provide a natural representation of multi-omic single-cell sequencing datasets, and finding cell clusters may be understood as a multilayer graph partition problem. Results We introduce two spectral algorithms on multilayer graphs, spectral clustering on multilayer graphs and the weighted locally linear (WLL) method, to cluster cells in multi-omic single-cell sequencing datasets. We connect these algorithms through a unifying mathematical framework that represents each layer using a Hamiltonian operator and a mixture of its eigenstates to integrate the multiple graph layers, demonstrating in the process that the WLL method is a rigorous multilayer spectral graph theoretic reformulation of the popular Seurat weighted nearest neighbor (WNN) algorithm. Implementing our algorithms and applying them to a CITE-seq dataset of cord blood mononuclear cells yields results similar to the Seurat WNN analysis. Our work thus extends spectral methods to multimodal single-cell data analysis. Availability and implementation The code used in this study can be found at https://github.com/jssong-lab/sc-spectrum. All public data used in the article are accurately cited and described in Materials and Methods and in Supplementary Information. Supplementary information Supplementary data are available at Bioinformatics online.
- Published
- 2022
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