Learning curves for Gaussian processes models: fluctuations and universality

Dorthe Malzahn, Manfred Opper

Research output: Chapter in Book/Published conference outputChapter

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.
Original languageEnglish
Title of host publicationArtificial Neural Networks — ICANN 2001
EditorsG. Dorffner, H. Bischof, K. Hornik
Place of PublicationBerlin Heidelberg
PublisherSpringer
Pages271-276
Number of pages6
Volume2130
ISBN (Print)9783540424864
DOIs
Publication statusPublished - 1 Jan 2001
EventArtificial Neural Networks 2001 - Vienna, Austria
Duration: 21 Aug 200125 Aug 2001

Publication series

NameLecture Notes in Computer Science
PublisherSpringer

Conference

ConferenceArtificial Neural Networks 2001
Abbreviated titleICANN 2001
Country/TerritoryAustria
CityVienna
Period21/08/0125/08/01

Bibliographical note

The original publication is available at www.springerlink.com

Keywords

  • statistical
  • mechanics
  • computing average
  • learning curves
  • sample fluctuations
  • Gaussian process regression
  • Wiener process
  • universal relations
  • error measures

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