Learning Curves for Gaussian Processes Models: Fluctuations and Universality

  • Authors:
  • Dörthe Malzahn;Manfred Opper

  • Affiliations:
  • -;-

  • Venue:
  • ICANN '01 Proceedings of the International Conference on Artificial Neural Networks
  • Year:
  • 2001

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Abstract

Based on a statistical mechanics approach, we develop a method for approximately computing average case learning curves and their sample fluctuations for Gaussian process regression models.We give examples for the Wiener process and show that universal relations (that are independent of the input distribution) between error measures can be derived.