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Hypercubes and Discrete Spaces

  • Luc Devroye
  • László Györfi
  • Gábor Lugosi
Part of the Stochastic Modelling and Applied Probability book series (SMAP, volume 31)

Abstract

In many situations, the pair (X, Y) is purely binary, taking values in {0, 1} d ×{0, 1}. Examples include boolean settings (each component of X represents “on” or “off”), representations of continuous variables through quantization (continuous variables are always represented by bit strings in computers), and ordinal data (a component of X is 1 if and only if a certain item is present). The components of X are denoted by X (1),..., X (d). In this chapter, we review pattern recognition briefly in this setup.

Keywords

Boolean Function Discrete Space Pattern Recognition Problem Empirical Error Linear Rule 
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 Science+Business Media New York 1996

Authors and Affiliations

  • Luc Devroye
    • 1
  • László Györfi
    • 2
  • Gábor Lugosi
    • 2
  1. 1.School of Computer ScienceMcGill UniversityMontrealCanada
  2. 2.Department of Mathematics and Computer ScienceTechnical University of BudapestBudapestHungary

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