On the practical applicability of VC dimension bounds

  • Authors:
  • Sean B. Holden;Mahesan Niranjan

  • Affiliations:
  • -;-

  • Venue:
  • Neural Computation
  • Year:
  • 1995

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Abstract

This article addresses the question of whether some recentVapnik-Chervonenkis (VC) dimension-based bounds on samplecomplexity can be regarded as a practical design tool.Specifically, we are interested in bounds on the sample complexityfor the problem of training a pattern classifier such that we canexpect it to perform valid generalization. Early results using theVC dimension, while being extremely powerful, suffered from thefact that their sample complexity predictions were ratherimpractical. More recent results have begun to improve thesituation by attempting to take specific account of the precisealgorithm used to train the classifier. We perform a series ofexperiments based on a task involving the classification of sets ofvowel formant frequencies. The results of these experimentsindicate that the more recent theories provide sample complexitypredictions that are significantly more applicable in practice thanthose provided by earlier theories; however, we also find that therecent theories still have significant shortcomings.