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Cluster-Preserving Dimension Reduction Methods for Document Classification

  • Peg Howland
  • Haesun Park
Chapter

In today's vector space information retrieval systems, dimension reduction is imperative for efficiently manipulating the massive quantity of data. To be useful, this lower dimensional representation must be a good approximation of the original document set given in its full space. Toward that end, we present mathematical models, based on optimization and a general matrix rank reduction formula, which incorporate a priori knowledge of the existing structure. From these models, we develop new methods for dimension reduction that can be applied regardless of the relative dimensions of the term-document matrix. We illustrate the effectiveness of each method with document classification results from the reduced representation. After establishing relationships among the solutions obtained by the various methods, we conclude with a discussion of their relative accuracy and complexity.

Keywords

Principal Component Analysis Linear Discriminant Analysis Dimension Reduction Latent Semantic Indexing Full Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2008

Authors and Affiliations

  • Peg Howland
    • 1
  • Haesun Park
    • 2
  1. 1.Department of Mathematics and StatisticsUtah State UniversityLogan
  2. 2.Division of Computational Science and Engineering College of ComputingGeorgia Institute of TechnologyAtlanta

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