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Regression with Gaussian Processes

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Part of the book series: Operations Research/Computer Science Interfaces Series ((ORCS,volume 8))

Abstract

The Bayesian analysis of neural networks is difficult because the prior over functions has a complex form, leading to implementations that either make approximations or use Monte Carlo integration techniques. In this paper I investigate the use of Gaussian process priors over functions, which permit the predictive Bayesian analysis to be carried out exactly using matrix operations. The method has been tested on two challenging problems and has produced excellent results.

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© 1997 Springer Science+Business Media New York

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Williams, C.K.I. (1997). Regression with Gaussian Processes. In: Ellacott, S.W., Mason, J.C., Anderson, I.J. (eds) Mathematics of Neural Networks. Operations Research/Computer Science Interfaces Series, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6099-9_66

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  • DOI: https://doi.org/10.1007/978-1-4615-6099-9_66

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7794-8

  • Online ISBN: 978-1-4615-6099-9

  • eBook Packages: Springer Book Archive

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