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Finding the optimal design of experiments in the Bayesian setting typically requires estimation and optimization of the expected information gain functional. This functional consists of one outer and one inner integral, separated by the logarithm fun
Externí odkaz:
http://arxiv.org/abs/2310.10783
Characterized by an outer integral connected to an inner integral through a nonlinear function, nested integration is a challenging problem in various fields, such as engineering and mathematical finance. The available numerical methods for nested in
Externí odkaz:
http://arxiv.org/abs/2302.14119
Publikováno v:
Comput. Methods Appl. Mech. Engrg. 399 (2022) 115320
Calculating the expected information gain in optimal Bayesian experimental design typically relies on nested Monte Carlo sampling. When the model also contains nuisance parameters, which are parameters that contribute to the overall uncertainty of th
Externí odkaz:
http://arxiv.org/abs/2112.06794
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 September 2022 399
Akademický článek
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Nested integration arises when a nonlinear function is applied to an integrand, and the result is integrated again, which is common in engineering problems, such as optimal experimental design, where typically neither integral has a closed-form expre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a939d3c844a59c29fdfd4b02a8586da
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 15 May 2023 410
Autor:
Bartuska, Arved
Ich betrachte das als Pascals Wette bekannte theistische Argument im Lichte der modernen Wahrscheinlichkeits- sowie Entscheidungstheorie und untersuche deren Auswirkungen sowohl auf die Stärken und Schwächen der Wette als auch auf ihre Kritik. Begi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13ffd240be9cf4b523a52b65b5855b53