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Convex biclustering.

Eric C Chi1, Genevera I Allen2,3, Richard G Baraniuk3

  • 1Department of Statistics, North Carolina State University, 2311 Stinson Dr, Raleigh, North Carolina, U.S.A.

Biometrics
|May 11, 2016
PubMed
Summary
This summary is machine-generated.

This study introduces COBRA, a novel convex biclustering algorithm for genomic data analysis. COBRA stably and reproducibly identifies co-expressed gene subsets across experimental conditions with algorithmic guarantees.

Keywords:
ClusteringConvex optimizationFused lassoGene expressionReproducible researchStructured sparsity

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Area of Science:

  • Bioinformatics
  • Computational Biology
  • Genomics

Background:

  • Biclustering aims to group observations and features simultaneously, with applications in text mining and collaborative filtering.
  • Identifying structure in high-dimensional genomic data is crucial for understanding gene expression patterns.
  • Existing biclustering algorithms often lack simplicity, interpretability, and algorithmic guarantees.

Purpose of the Study:

  • To present a convex formulation for the biclustering problem with a unique global minimizer.
  • To introduce an iterative algorithm, COBRA, guaranteed to find this minimizer.
  • To demonstrate COBRA's ability to generate a solution path and simplify parameter selection.

Main Methods:

  • Developed a convex formulation for the biclustering problem.
  • Designed an iterative algorithm (COBRA) to identify the unique global minimizer.
  • Showcased a method for tuning parameter selection by solving a modified biclustering problem.

Main Results:

  • The proposed convex formulation guarantees a unique global minimizer.
  • COBRA algorithm is guaranteed to identify this unique global minimizer.
  • Demonstrated stable and reproducible biclustering on simulated and real microarray data.

Conclusions:

  • COBRA offers a simple, interpretable, and algorithmically guaranteed approach to biclustering.
  • The method effectively identifies co-expressed gene subsets within specific experimental conditions.
  • COBRA provides advantages over existing algorithms for analyzing high-dimensional genomic data.