Learning curves for Gaussian processes models: fluctuations and universality


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.

Publication DOI: https://doi.org/10.1007/3-540-44668-0_39
Divisions: Aston University (General)
Additional Information: The original publication is available at www.springerlink.com
Event Title: Artificial Neural Networks 2001
Event Type: Other
Event Dates: 2001-08-21 - 2001-08-25
Uncontrolled Keywords: statistical,mechanics,computing average,learning curves,sample fluctuations,Gaussian process regression,Wiener process,universal relations,error measures
ISBN: 9783540424864
Last Modified: 11 Jan 2024 08:21
Date Deposited: 14 Sep 2009 14:30
Full Text Link:
Related URLs: http://www.spri ... hdlkvp30u92dev/ (Publisher URL)
PURE Output Type: Chapter
Published Date: 2001-01-01
Authors: Malzahn, Dorthe
Opper, Manfred



Version: Accepted Version

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