Data Assimilation Predictive GAN (DA-PredGAN) Applied to a Spatio-Temporal Compartmental Model in Epidemiology

© The Author(s) 2022.

Détails bibliographiques
Publié dans:Journal of scientific computing. - 1999. - 94(2023), 1 vom: 31., Seite 25
Auteur principal: Silva, Vinicius L S (Auteur)
Autres auteurs: Heaney, Claire E, Li, Yaqi, Pain, Christopher C
Format: Article en ligne
Langue:English
Publié: 2023
Accès à la collection:Journal of scientific computing
Sujets:Journal Article COVID-19 Compartmental model Data assimilation Deep learning Epidemiology Generative adversarial networks Reduced-order model Spatio-temporal prediction
Description
Résumé:© The Author(s) 2022.
We propose a novel use of generative adversarial networks (GANs) (i) to make predictions in time (PredGAN) and (ii) to assimilate measurements (DA-PredGAN). In the latter case, we take advantage of the natural adjoint-like properties of generative models and the ability to simulate forwards and backwards in time. GANs have received much attention recently, after achieving excellent results for their generation of realistic-looking images. We wish to explore how this property translates to new applications in computational modelling and to exploit the adjoint-like properties for efficient data assimilation. We apply these methods to a compartmental model in epidemiology that is able to model space and time variations, and that mimics the spread of COVID-19 in an idealised town. To do this, the GAN is set within a reduced-order model, which uses a low-dimensional space for the spatial distribution of the simulation states. Then the GAN learns the evolution of the low-dimensional states over time. The results show that the proposed methods can accurately predict the evolution of the high-fidelity numerical simulation, and can efficiently assimilate observed data and determine the corresponding model parameters
Description:Date Revised 15.09.2024
published: Print-Electronic
Citation Status PubMed-not-MEDLINE
ISSN:0885-7474
DOI:10.1007/s10915-022-02078-1