A Fine-Grained Variant of the Hierarchy of Lasserre
Wann Jiun Ma, Jakub Marecek, et al.
Allerton 2019
Across numerous applications, forecasting relies on numerical solvers for partial differential equations (PDEs). Although the use of deep-learning techniques has been proposed, actual applications have been restricted by the fact the training data are obtained using traditional PDE solvers. Thereby, the uses of deep-learning techniques were limited to domains, where the PDE solver was applicable. We demonstrate a deep-learning framework for air-pollution monitoring and forecasting that provides the ability to train across different model domains, as well as a reduction in the run-time by two orders of magnitude. It presents a first-of-a-kind implementation that combines deep-learning and domain-decomposition techniques to allow model deployments extend beyond the domain(s) on which it has been trained.
Wann Jiun Ma, Jakub Marecek, et al.
Allerton 2019
Amira Abbas, Andris Ambainis, et al.
Nature Reviews Physics
Venktesh Pandey, Julien Monteil, et al.
Transp. Res. Part C Emerg. Technol.
Yassine Lassoued, Julien Monteil, et al.
ITSC 2017