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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 53–65
(Mi fpm1498)
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This article is cited in 6 scientific papers (total in 6 papers)
Properties of the Bayesian parameter estimation of a regression based on Gaussian processes
A. A. Zaytsevab, E. V. Burnaevcab, V. G. Spokoinycde a Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b "Datadvance", Moscow, Russia
c Premolab, Moscow Institute of Physics and Technology, Moscow, Russia
d Weierstrass Institute (WIAS), Berlin, Germany
e Humboldt University of Berlin, Berlin, Germany
Abstract:
We consider the regression approach based on Gaussian processes and outline our theoretical results about the properties of the posterior distribution of the corresponding covariance function's parameter vector. We perform statistical experiments confirming that the obtained theoretical propositions are valid for a wide class of covariance functions commonly used in applied problems.
Citation:
A. A. Zaytsev, E. V. Burnaev, V. G. Spokoiny, “Properties of the Bayesian parameter estimation of a regression based on Gaussian processes”, Fundam. Prikl. Mat., 18:2 (2013), 53–65; J. Math. Sci., 203:6 (2014), 789–798
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https://www.mathnet.ru/eng/fpm1498 https://www.mathnet.ru/eng/fpm/v18/i2/p53
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Abstract page: | 596 | Full-text PDF : | 328 | References: | 74 | First page: | 1 |
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