47 citations · 100 across the 11 of their papers we have counts for
4 papers · 1 filter
Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning
Mohamad Abed El Rahman Hammoud, Naila Raboudi, Edriss S. Titi +2
Data assimilation (DA) plays a pivotal role in diverse applications, ranging from climate predictions and weather forecasts to trajectory planning for autonomous vehicles. A prime…
Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era
Eleni D. Koronaki, Nikolaos Evangelou, Cristina P. Martin-Linares +2
This study presents a collection of purely data-driven workflows for constructing reduced-order models (ROMs) for distributed dynamical systems. The ROMs we focus on, are data-assi…
Downscaling Using CDAnet Under Observational and Model Noises: The Rayleigh-Benard Convection Paradigm
Mohamad Abed El Rahman Hammoud, Edriss S. Titi, Ibrahim Hoteit +1
Efficient downscaling of large ensembles of coarse-scale information is crucial in several applications, such as oceanic and atmospheric modeling. The determining form map is a the…
A unified approach to determining forms for the 2D Navier-Stokes equations - the general interpolants case
Ciprian Foias, Michael S. Jolly, Rostyslav Kravchenko +1
In this paper we show that the long time dynamics (the global attractor) of the 2D Navier-Stokes equation is embedded in the long time dynamics of an ordinary differential equation…