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QMC sampling from empirical datasets

Abstract:
This paper presents a simple idea for the use of quasi-Monte Carlo sampling with empirical datasets, such as those generated by MCMC methods. It also presents and analyses a related idea of taking advantage of the Hilbert space-filling curve. Theoretical and numerical analyses are provided for both. We find that when applying the proposed QMC sampling methods to datasets coming from a known distribution, they give similar performance as the standard QMC method directly sampling from this known distribution.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-030-43465-6_26

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-5445-3721


Publisher:
Springer
Host title:
Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing
Pages:
523-539
Series:
Springer Proceedings in Mathematics & Statistics
Series number:
324
Publication date:
2020-05-02
Acceptance date:
2019-09-05
Event title:
Monte Carlo and Quasi-Monte Carlo Methods (MCQMC 2018)
Event location:
Rennes, France
Event website:
http://mcqmc2018.inria.fr/proceedings/
Event start date:
2018-07-01
Event end date:
2018-07-06
DOI:
EISBN:
9783030434656
ISBN:
9783030434649


Language:
English
Keywords:
Pubs id:
1127994
Local pid:
pubs:1127994
Deposit date:
2020-09-03

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