Fast sampling from a Gaussian Markov random ﬁeld using Krylov subspace approaches
Many applications in spatial statistics, geostatistics and image analysis require efficient techniques for sampling from large Gaussian Markov random ﬁelds (GMRFs). A suite of methods, based on the Cholesky decomposition, for sampling from GMRFs, sampling conditioned on a set of linear constraints, and computing the likelihood were presented by Rue (2001). In this paper, we present an alternate set of methods based on Krylov subspace approaches. These methods have the advantage of requiring far less storage than the Cholesky decomposition and may be useful in problems where computing a Cholesky decomposition is infeasible.
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|Item Type:||Journal Article|
|Keywords:||Gaussian Markov random ﬁeld, Lanczos decomposition, matrix functions, inverse square root, saddle point system|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)|
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > STATISTICS (010400) > Applied Statistics (010401)
|Divisions:||Past > QUT Faculties & Divisions > Faculty of Science and Technology|
|Copyright Owner:||Copyright 2008 (The authors)|
|Deposited On:||14 Aug 2008|
|Last Modified:||09 Jun 2010 23:02|
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