Rivi, M;
Lochner, M;
Balan, ST;
Harrison, I;
Abdalla, FB;
(2019)
Radio galaxy shape measurement with Hamiltonian Monte Carlo in the visibility domain.
Monthly Notices of the Royal Astronomical Society
, 482
(1)
pp. 1096-1109.
10.1093/mnras/sty2700.
(In press).
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Abstract
Radio weak lensing, while a highly promising complementary probe to optical weak lensing, will require incredible precision in the measurement of galaxy shape parameters. In this paper, we extend the Bayesian Inference for Radio Observations model fitting approach to measure galaxy shapes directly from visibility data of radio continuum surveys, instead of from image data. We apply a Hamiltonian Monte Carlo (HMC) technique for sampling the posterior, which is more efficient than the standard Monte Carlo Markov Chain method when dealing with a large dimensional parameter space. Adopting the exponential profile for galaxy model fitting allows us to analytically calculate the likelihood gradient required by HMC, allowing a faster and more accurate sampling. The method is tested on SKA1-MID simulated observations at 1.4 GHz of a field containing up to 1000 star-forming galaxies. It is also applied to a simulated observation of the weak lensing precursor survey SuperCLASS. In both cases we obtain reliable measurements of the galaxies' ellipticity and size for all sources with signal-to-noise ratio ≥ 10, and we also find relationships between the convergence properties of the HMCtechnique and some source parameters. Direct shape measurement in the visibility domain achieves high accuracy at the expected source number densities of the current and next SKA precursor continuum surveys. The proposed method can be easily extended for the fitting of other galaxy and scientific parameters, as well as simultaneously marginalizing over systematic and instrumental effects.
| Type: | Article |
|---|---|
| Title: | Radio galaxy shape measurement with Hamiltonian Monte Carlo in the visibility domain |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/mnras/sty2700 |
| Publisher version: | https://doi.org/10.1093/mnras/sty2700 |
| 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: | Methods: statistical, techniques: interferometric, cosmology: observations, radio continuum: galaxies |
| 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/10064280 |
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