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Sparse Bayesian mass-mapping with uncertainties: local credible intervals

Price, MA; Cai, X; McEwen, JD; Pereyra, M; Kitching, TD; (2020) Sparse Bayesian mass-mapping with uncertainties: local credible intervals. Monthly Notices of the Royal Astronomical Society , 492 (1) pp. 394-404. 10.1093/mnras/stz3453. Green open access

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Abstract

Until recently mass-mapping techniques for weak gravitational lensing convergence reconstruction have lacked a principled statistical framework upon which to quantify reconstruction uncertainties, without making strong assumptions of Gaussianity. In previous work we presented a sparse hierarchical Bayesian formalism for convergence reconstruction that addresses this shortcoming. Here, we draw on the concept of local credible intervals (cf. Bayesian error bars) as an extension of the uncertainty quantification techniques previously detailed. These uncertainty quantification techniques are benchmarked against those recovered via Px-MALA - a state of the art proximal Markov Chain Monte Carlo (MCMC) algorithm. We find that typically our recovered uncertainties are everywhere conservative, of similar magnitude and highly correlated (Pearson correlation coefficient $\geq 0.85$) with those recovered via Px-MALA. Moreover, we demonstrate an increase in computational efficiency of $\mathcal{O}(10^6)$ when using our sparse Bayesian approach over MCMC techniques. This computational saving is critical for the application of Bayesian uncertainty quantification to large-scale stage IV surveys such as LSST and Euclid.

Type: Article
Title: Sparse Bayesian mass-mapping with uncertainties: local credible intervals
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/mnras/stz3453
Publisher version: http://dx.doi.org/10.1093/mnras/stz3453
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: gravitational lensing: weak, methods: data analysis, methods: statistical, techniques: image processing
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Space and Climate Physics
URI: https://discovery.ucl.ac.uk/id/eprint/10090135
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