Journal Article

A sampling strategy for high-dimensional spaces applied to free-form gravitational lensing

Mario Lubini and Jonathan Coles

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 425, issue 4, pages 3077-3084
Published in print October 2012 | ISSN: 0035-8711
Published online October 2012 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2012.21673.x
A sampling strategy for high-dimensional spaces applied to free-form gravitational lensing

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We present a novel proposal strategy for the Metropolis–Hastings algorithm designed to efficiently sample general convex polytopes in 100 or more dimensions. This improves upon previous sampling strategies used for free-form reconstruction of gravitational lenses, but is general enough to be applied to other fields. We have written a parallel implementation within the lens modelling framework glass. Testing shows that we are able to produce uniform uncorrelated random samples which are necessary for exploring the degeneracies inherent in lens reconstruction.

Keywords: gravitational lensing: strong; methods: numerical; methods: statistical

Journal Article.  5328 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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