Bayesian Deconvolution of Astronomical Images with Diffusion Models: Quantifying Prior-Driven Features in Reconstructions

Fuente: arXiv
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Autores principales: Spagnoletti, Alessio, Boucaud, Alexandre, Huertas-Company, Marc, Kabalan, Wassim, Biswas, Biswajit
Formato: Preprint
Publicado: 2024
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author Spagnoletti, Alessio
Boucaud, Alexandre
Huertas-Company, Marc
Kabalan, Wassim
Biswas, Biswajit
author_facet Spagnoletti, Alessio
Boucaud, Alexandre
Huertas-Company, Marc
Kabalan, Wassim
Biswas, Biswajit
contents Deconvolution of astronomical images is a key aspect of recovering the intrinsic properties of celestial objects, especially when considering ground-based observations. This paper explores the use of diffusion models (DMs) and the Diffusion Posterior Sampling (DPS) algorithm to solve this inverse problem task. We apply score-based DMs trained on high-resolution cosmological simulations, through a Bayesian setting to compute a posterior distribution given the observations available. By considering the redshift and the pixel scale as parameters of our inverse problem, the tool can be easily adapted to any dataset. We test our model on Hyper Supreme Camera (HSC) data and show that we reach resolutions comparable to those obtained by Hubble Space Telescope (HST) images. Most importantly, we quantify the uncertainty of reconstructions and propose a metric to identify prior-driven features in the reconstructed images, which is key in view of applying these methods for scientific purposes.
format Preprint
id arxiv_https___arxiv_org_abs_2411_19158
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bayesian Deconvolution of Astronomical Images with Diffusion Models: Quantifying Prior-Driven Features in Reconstructions
Spagnoletti, Alessio
Boucaud, Alexandre
Huertas-Company, Marc
Kabalan, Wassim
Biswas, Biswajit
Instrumentation and Methods for Astrophysics
Astrophysics of Galaxies
Computer Vision and Pattern Recognition
Deconvolution of astronomical images is a key aspect of recovering the intrinsic properties of celestial objects, especially when considering ground-based observations. This paper explores the use of diffusion models (DMs) and the Diffusion Posterior Sampling (DPS) algorithm to solve this inverse problem task. We apply score-based DMs trained on high-resolution cosmological simulations, through a Bayesian setting to compute a posterior distribution given the observations available. By considering the redshift and the pixel scale as parameters of our inverse problem, the tool can be easily adapted to any dataset. We test our model on Hyper Supreme Camera (HSC) data and show that we reach resolutions comparable to those obtained by Hubble Space Telescope (HST) images. Most importantly, we quantify the uncertainty of reconstructions and propose a metric to identify prior-driven features in the reconstructed images, which is key in view of applying these methods for scientific purposes.
title Bayesian Deconvolution of Astronomical Images with Diffusion Models: Quantifying Prior-Driven Features in Reconstructions
topic Instrumentation and Methods for Astrophysics
Astrophysics of Galaxies
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2411.19158