Search Results for author: Ketson R. M. dos Santos

Found 2 papers, 1 papers with code

Grassmannian diffusion maps based surrogate modeling via geometric harmonics

no code implementations28 Sep 2021 Ketson R. M. dos Santos, Dimitrios G. Giovanis, Katiana Kontolati, Dimitrios Loukrezis, Michael D. Shields

Using this representation, geometric harmonics, an out-of-sample function extension technique, is employed to create a global map from the space of input parameters to a Grassmannian diffusion manifold.

Uncertainty Quantification

Manifold learning-based polynomial chaos expansions for high-dimensional surrogate models

2 code implementations21 Jul 2021 Katiana Kontolati, Dimitrios Loukrezis, Ketson R. M. dos Santos, Dimitrios G. Giovanis, Michael D. Shields

For this purpose, we employ Grassmannian diffusion maps, a two-step nonlinear dimension reduction technique which allows us to reduce the dimensionality of the data and identify meaningful geometric descriptions in a parsimonious and inexpensive manner.

Dimensionality Reduction Uncertainty Quantification +1

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