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QOT: Quantized Optimal Transport for sample-level distance matrix in single-cell omics.

Zexuan Wang1, Qipeng Zhan1, Shu Yang2

  • 1Graduate Group in Applied Mathematics and Computational Science, University of Pennsylvania, Philadelphia, PA 19104, United States.

Briefings in Bioinformatics
|January 14, 2025
PubMed
Summary

Quantized Optimal Transport (QOT) efficiently computes sample-level distance matrices from large single-cell omics data. This method enhances accuracy and robustness for comparative biological studies and disease progression analysis.

Keywords:
Gaussian Mixture ModelWasserstein distanceoptimal transportquantizationsingle-cell genomics

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Area of Science:

  • Bioinformatics
  • Computational Biology
  • Data Science

Background:

  • Single-cell technologies generate high-dimensional data, posing computational challenges for comparative analyses.
  • Generating sample-level distance matrices is crucial for understanding cellular architecture across biological conditions.
  • Optimal Transport (OT) is a geometric data analysis tool used in bioinformatics.

Purpose of the Study:

  • To introduce Quantized Optimal Transport (QOT), a novel method for efficient sample-level distance matrix computation.
  • To address the computational and analytical challenges of large-scale single-cell omics data.
  • To improve accuracy and robustness in comparative single-cell analyses.

Main Methods:

  • Developed QOT, incorporating a quantization step for efficient computation.
  • Applied QOT to large-scale single-cell genomics and pathomics datasets.
  • Compared QOT performance against existing Optimal Transport-based algorithms.

Main Results:

  • QOT significantly outperforms existing OT-based algorithms in accuracy and robustness.
  • The method efficiently computes sample-level distance matrices from high-throughput single-cell data.
  • Demonstrated the utility of QOT-derived matrices in downstream analyses, such as disease progression.

Conclusions:

  • QOT provides an efficient and accurate solution for analyzing large-scale single-cell omics data.
  • The method facilitates the extrapolation of cell-level insights to sample-level categorizations.
  • QOT has broad applications in biomedical informatics and data science for comparative studies.