June 2020
Intermediate to advanced
158 pages
4h 36m
English
Content preview from Multivariate Algorithms and Information-Based Complexity
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5 Optimality criteria for probabilistic numerical methods
C. J. Oates
Newcastle University, Newcastle upon Tyne, UK
Alan Turing Institute, London, UK
J. Cockayne
University of Warwick, Coventry, UK
D. Prangle
Newcastle University, Newcastle upon Tyne, UK
T. J. Sullivan
Freie Universität Berlin, Berlin, Germany
Zuse Institute Berlin, Berlin, Germany
M. Girolami
University of Cambridge, Cambridge, UK
Alan Turing Institute, London, UK
Abstract
It is well understood that Bayesian decision theory and average case analysis are essentially identical. However, if one is interested in performing uncertainty quantification for a numerical task, it can be argued that standard approaches from the decision-theoretic framework are neither ...
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