Derivation of Joint Representation Mixture Model Equations,

Abstract

One of the problems that arises in many large-scale applications of mixture models to density estimation is that, as the size of the data set increases, the class labeled data becomes a (proper) subset of the total data set. That is, while many small data sets may have all the observations labeled as to class membership, large data sets often consist of labeled subsets plus a potentially large unlabeled subset. Thus, it is desirable to have a unified framework for handling this combined supervised (class labeled data)/unsupervised (unlabeled data) problem. This is the motivation behind the following development of joint representation mixture models. The joint representation mixture model is defined, likelihood functions corresponding to different levels of data categorization with respect to class are presented, and the resultant iterative Expectation-Maximization equations are derived. (AN)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1995
Accession Number
ADA299178

Entities

People

  • George W. Rogers
  • Richard Lorey

Organizations

  • Naval Surface Warfare Center

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Data Sets
  • Equations
  • Estimators
  • Image Processing
  • Mathematics
  • Military Research
  • Motivation
  • Neural Networks
  • Observation
  • Pattern Recognition
  • Probability
  • Probability Density Functions
  • Signal Processing
  • Surface Warfare

Fields of Study

  • Computer science

Readers

  • Computational Linguistics
  • Statistical inference.