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The Hamming Ball Sampler

Abstract:
We introduce the Hamming ball sampler, a novel Markov chain Monte Carlo algorithm, for efficient inference in statistical models involving high-dimensional discrete state spaces. The sampling scheme uses an auxiliary variable construction that adaptively truncates the model space allowing iterative exploration of the full model space. The approach generalizes conventional Gibbs sampling schemes for discrete spaces and provides an intuitive means for user-controlled balance between statistical efficiency and computational tractability. We illustrate the generic utility of our sampling algorithm through application to a range of statistical models. Supplementary materials for this article are available online.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1080/01621459.2016.1222288

Authors

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Institution:
University of Oxford
Division:
MSD
Department:
NDM
Sub department:
Human Genetics Wt Centre
Role:
Author
ORCID:
0000-0001-7615-8523


Publisher:
Taylor and Francis
Journal:
Journal of the American Statistical Association More from this journal
Publication date:
2017-07-01
Acceptance date:
2016-09-03
DOI:
EISSN:
1537-274X
ISSN:
0162-1459


Keywords:
Pubs id:
pubs:710435
UUID:
uuid:ad11233a-5872-4f9d-98fd-747db4c91c77
Local pid:
pubs:710435
Source identifiers:
710435
Deposit date:
2018-01-25
ARK identifier:

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