663 citations · 1.3k across the 32 of their papers we have counts for
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physics.data-an2021★ 10 cited
Grassmannian diffusion maps based surrogate modeling via geometric harmonics
Ketson R. M. dos Santos, Dimitrios G. Giovanis, Katiana Kontolati +2
In this paper, a novel surrogate model based on the Grassmannian diffusion maps (GDMaps) and utilizing geometric harmonics is developed for predicting the response of engineering s…
physics.data-an2021★ 39 cited
Manifold learning-based polynomial chaos expansions for high-dimensional surrogate models
Katiana Kontolati, Dimitrios Loukrezis, Ketson R. M. dos Santos +2
In this work we introduce a manifold learning-based method for uncertainty quantification (UQ) in systems describing complex spatiotemporal processes. Our first objective is to ide…