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Probabilistic solutions to ordinary differential equations as nonlinear Bayesian filtering: a new perspective
Authors:Tronarp  Filip  Kersting  Hans  Särkkä  Simo  Hennig  Philipp
Institution:1.Department of Electrical Engineering and Automation, Aalto University, 02150, Espoo, Finland
;2.University of Tübingen and Max Planck Institute for Intelligent Systems, 72076, Tübingen, Germany
;
Abstract:Statistics and Computing - We formulate probabilistic numerical approximations to solutions of ordinary differential equations (ODEs) as problems in Gaussian process (GP) regression with nonlinear...
Keywords:
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