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Weak lensing mass reconstruction using sparsity and a Gaussian random field

Starck, J-L; Themelis, KE; Jeffrey, N; Peel, A; Lanusse, F; (2021) Weak lensing mass reconstruction using sparsity and a Gaussian random field. Astronomy & Astrophysics , 649 , Article A99. 10.1051/0004-6361/202039451. Green open access

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Abstract

Aims. We introduce a novel approach to reconstructing dark matter mass maps from weak gravitational lensing measurements. The cornerstone of the proposed method lies in a new modelling of the matter density field in the Universe as a mixture of two components: (1) a sparsity-based component that captures the non-Gaussian structure of the field, such as peaks or halos at different spatial scales, and (2) a Gaussian random field, which is known to represent the linear characteristics of the field well. Methods. We propose an algorithm called MCALens that jointly estimates these two components. MCALens is based on an alternating minimisation incorporating both sparse recovery and a proximal iterative Wiener filtering. Results. Experimental results on simulated data show that the proposed method exhibits improved estimation accuracy compared to customised mass-map reconstruction methods.

Type: Article
Title: Weak lensing mass reconstruction using sparsity and a Gaussian random field
Open access status: An open access version is available from UCL Discovery
DOI: 10.1051/0004-6361/202039451
Publisher version: http://dx.doi.org/10.1051/0004-6361/202039451
Language: English
Additional information: Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Keywords: cosmology: observations / techniques: image processing / methods: data analysis / gravitational lensing: weak
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 Physics and Astronomy
URI: https://discovery.ucl.ac.uk/id/eprint/10141397
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