Clustering and classification through normalizing flows in feature space

J. P. Agnellit, M. Cadeiras, E. G. Tabak, C. V. Turnert, E. Vanden-Eijnden

Research output: Contribution to journalArticle

Abstract

A unified variational methodology is developed f or classification and clustering problems and is tested in the classification of tumors from gene expression data. It is based on fluid-like flows in feature space that cluster a set of observations by transforming them into likely samples from p isotropic Gaussians, where p is the number of classes sought. The methodology blurs the distinction between training and testing populations through the soft assignment of both to classes. The observations act as Lagrangian markers for the flows, comparatively active or passive depending on the current strength of the assignment to the corresponding class.

Original languageEnglish (US)
Pages (from-to)1784-1802
Number of pages19
JournalMultiscale Modeling and Simulation
Volume8
Issue number5
DOIs
StatePublished - 2010

Keywords

  • Density estimation
  • Expectation maximization
  • Gaussianization
  • Inference
  • Machine learning
  • Maximum likelihood

ASJC Scopus subject areas

  • Chemistry(all)
  • Modeling and Simulation
  • Ecological Modeling
  • Physics and Astronomy(all)
  • Computer Science Applications

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