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LONMF: a non-negative matrix factorization model based on graph Laplacian and optimal transmission for paired
Mengdi Nan1, Qing Ren1, Yuhan Fu1
1School of Science, Jiangnan University, Wuxi, 214122, China.
BMC Bioinformatics
|December 24, 2025
Summary
We developed LONMF, a novel algorithm for integrating single-cell multi-omics data. This method enhances cell clustering and biological interpretability, offering deeper insights into cellular heterogeneity.
Area of Science:
- Single-cell multi-omics
- Computational biology
- Bioinformatics
Background:
- Single-cell sequencing technologies generate complex, noisy data.
- Integrating multi-omics data is crucial for understanding cellular heterogeneity.
- Existing methods face challenges in data integration and interpretability.
Purpose of the Study:
- To develop an effective method for integrating single-cell multi-omics data.
- To improve cell clustering and biological interpretability.
- To reveal new biological perspectives on cellular phenotypes.
Main Methods:
- Proposed LONMF, a non-negative matrix factorization algorithm.
- Combined graph Laplacian and optimal transmission for enhanced analysis.
- Applied LONMF to diverse single-cell multi-omics datasets (10X-multi-group, CITE-seq, TEA-multi-group seq).
Main Results:
- LONMF demonstrated robust performance in visualizing and clustering multi-pair single-cell multi-omics data.
- Facilitated marker characterization and gene ontology enrichment analysis.
- Achieved comparable performance to state-of-the-art methods in cell clustering.
Conclusions:
- LONMF offers superior biological interpretability compared to existing methods.
- Provides valuable biological insights for downstream single-cell multi-omics analyses.
- Enhances the understanding of cellular heterogeneity through integrated data analysis.

