Exploring the linearity of models on the basis of ranked data

  • Authors:
  • Leon Bobrowski;Ralph C. Huntsinger

  • Affiliations:
  • Bialystok Technical University, Poland and Institute of Biocybernetics and Biomedical Engineering PAS, Warsaw, Poland;Bialystok Technical University, Poland and California State University-Chico and Humboldt State University, California and Lomza State College of Computer Science and Business Administration, Pola ...

  • Venue:
  • Proceedings of the 2007 Summer Computer Simulation Conference
  • Year:
  • 2007
  • CPL Clustering with Feature Costs

    ICDM '08 Proceedings of the 8th industrial conference on Advances in Data Mining: Medical Applications, E-Commerce, Marketing, and Theoretical Aspects

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Abstract

The ranked data are based on two sources of information: on results of measurements that are represented as a set of n-dimensional feature vectors, and on ranking relations between some of these vectors. The ranked data can be modelled in the form of a linear transformation from the feature space on a line. The ranked transformation preserves as much as possible the ranking relations between feature vectors. The linear ranked transformations could be explored on the basis of the linear separability of the differential vectors. A linear transformation can fully reflect the ranking relations if the feature vectors are linearly independent.