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Discriminative variable subsets in Bayesian classification with mixture models, with application in flow cytometry

Lin Lin1, Cliburn Chan2, Mike West3

  • 1Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center, Seattle, WA 98109, USA llin@fredhutch.org.

Biostatistics (Oxford, England)
|June 5, 2015
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Summary
This summary is machine-generated.

This study introduces a new Bayesian classification analysis to identify the best variables for classifying data in biomolecular studies. The method effectively prioritizes subsets of variables for improved discrimination in mixture models.

Keywords:
Bayesian expectation–maximizationBayesian mixture modelsClassification error ratesConcordance of densitiesDirichlet process mixturesDiscriminative information measureDiscriminative threshold probabilitiesFlow cytometry dataNon-Gaussian component mixturesVariable subset selection

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Area of Science:

  • Biostatistics
  • Computational Biology
  • Systems Biology

Background:

  • Variable selection is crucial in multivariate mixture modeling for classification, especially in biomolecular studies.
  • Large-scale single-cell data from flow cytometry presents challenges in design and variable selection.

Purpose of the Study:

  • To develop a novel Bayesian classification analysis for evaluating variable subsets in mixture modeling.
  • To define discriminative analysis and a computationally feasible method for assessing variable roles in discrimination.

Main Methods:

  • Defined discriminative analysis using concordance between mixture component densities.
  • Developed a method for assessing and prioritizing variable subsets based on their discriminatory roles.
  • Related new discriminative information measures to Bayesian classification probabilities and error rates.
  • Applied methods to Dirichlet process mixture models using Markov chain Monte Carlo and a novel Bayesian expectation-maximization algorithm.

Main Results:

  • Presented theoretical and simulated data examples to demonstrate the approach's utility.
  • Showcased application in automatic classification and discriminative variable selection for high-throughput systems biology.
  • Compared the novel approach with prior methods, highlighting its effectiveness.

Conclusions:

  • The developed Bayesian classification analysis provides an effective and feasible method for variable subset evaluation in mixture modeling.
  • The approach is particularly useful for large-scale biomolecular data, such as flow cytometry datasets.
  • This work advances discriminative variable selection in high-throughput biological studies.