Abstract

ABSTRACT With the advent of next-generation surveys and the expectation of discovering huge numbers of strong gravitational lens systems, much effort is being invested into developing automated procedures for handling the data. The several orders of magnitude increase in the number of strong galaxy–galaxy lens systems is an insurmountable challenge for traditional modelling techniques. Whilst machine learning techniques have dramatically improved the efficiency of lens modelling, parametric modelling of the lens mass profile remains an important tool for dealing with complex lensing systems. In particular, source reconstruction methods are necessary to cope with the irregular structure of high-redshift sources. In this paper, we consider a convolutional neural network (CNN) that analyses the outputs of semi-analytic methods that parametrically model the lens mass and linearly reconstruct the source surface brightness distribution. We show the unphysical source reconstructions that arise as a result of incorrectly initialized lens models can be effectively caught by our CNN. Furthermore, the CNN predictions can be used to automatically reinitialize the parametric lens model, avoiding unphysical source reconstructions. The CNN, trained on reconstructions of lensed Sérsic sources, accurately classifies source reconstructions of the same type with a precision P > 0.99 and recall R > 0.99. The same CNN, without retraining, achieves P = 0.89 and R = 0.89 when classifying source reconstructions of more complex lensed Hubble Ultra-Deep Field (HUDF) sources. Using the CNN predictions to reinitialize the lens modelling procedure, we achieve a 69 per cent decrease in the occurrence of unphysical source reconstructions. This combined CNN and parametric modelling approach can greatly improve the automation of lens modelling.

Highlights

  • Galaxy-galaxy strong gravitational lensing is a unique tool for investigating a wide variety of interesting astrophysical questions

  • We show that the Convolutional Neural Network (CNN) performs exceptionally well at the task of classifying source reconstructions

  • We describe the process of using our CNN predictions to automatically adjust the prior distributions on the Einstein radius in three subsequent rounds of modelling

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Summary

Introduction

Galaxy-galaxy strong gravitational lensing is a unique tool for investigating a wide variety of interesting astrophysical questions. Strong lensing has been effective in studying the mass profiles of elliptical galaxies both in the local universe and at cosmological scales (Koopmans & Treu 2003; Lagattuta et al 2010). The lensing of extended sources allows for detailed analysis of galaxy density profiles which can provide insights into the dark matter substructure of galaxies (Vegetti & Koopmans 2009a,b). Time delay cosmography, where a variable background source such as a quasar is multiply imaged by a lensing galaxy allows for the inference of key cosmological parameters, such as the Hubble constant (Birrer et al 2020); Wong et al (2020)

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