Entropy-penalized semidefinite programming
Mikhail Krechetov, Jakub Marecek, et al.
IJCAI 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.
Mikhail Krechetov, Jakub Marecek, et al.
IJCAI 2019
Jakub Marecek, Martin Mevissen, et al.
PSCC 2016
Jakub Marecek, Robert Shorten, et al.
International Journal of Control
Julien Monteil, Melanie Bouroche, et al.
IEEE TCST