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  • Gaussian processes  (1)
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    Electronic Resource
    Electronic Resource
    Springer
    Machine learning 40 (2000), S. 77-102 
    ISSN: 0885-6125
    Keywords: Gaussian processes ; Bayesian inference ; generalisation error ; bounds
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract In this paper we introduce and illustrate non-trivial upper and lower bounds on the learning curves for one-dimensional Guassian Processes. The analysis is carried out emphasising the effects induced on the bounds by the smoothness of the random process described by the Modified Bessel and the Squared Exponential covariance functions. We present an explanation of the early, linearly-decreasing behavior of the learning curves and the bounds as well as a study of the asymptotic behavior of the curves. The effects of the noise level and the lengthscale on the tightness of the bounds are also discussed.
    Type of Medium: Electronic Resource
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