5 citations · 5 across the 3 of their papers we have counts for
3 papers
Generative Learning of Densities on Manifolds
Dimitris G. Giovanis, Ellis Crabtree, Roger G. Ghanem +1
A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion…
Micro-Macro Consistency in Multiscale Modeling: Score-Based Model Assisted Sampling of Fast/Slow Dynamical Systems
Ellis R. Crabtree, Juan M. Bello-Rivas, Ioannis G. Kevrekidis
A valuable step in the modeling of multiscale dynamical systems in fields such as computational chemistry, biology, materials science and more, is the representative sampling of th…
GANs and Closures: Micro-Macro Consistency in Multiscale Modeling
Ellis R. Crabtree, Juan M. Bello-Rivas, Andrew L. Ferguson +1
Sampling the phase space of molecular systems -- and, more generally, of complex systems effectively modeled by stochastic differential equations -- is a crucial modeling step in m…