85 citations · 255 across the 18 of their papers we have counts for
4 papers · 1 filter
Sparse Low Rank Approximation of Potential Energy Surfaces with Applications in Estimation of Anharmonic Zero Point Energies and Frequencies
Prashant Rai, Khachik Sargsyan, Habib Najm +1
We propose a method that exploits sparse representation of potential energy surfaces (PES) on a polynomial basis set selected by compressed sensing. The method is useful for studie…
Entropy-based closure for probabilistic learning on manifolds
C. Soizea, R. Ghanem, C. Safta +7
In a recent paper, the authors proposed a general methodology for probabilistic learning on manifolds. The method was used to generate numerical samples that are statistically cons…
Embedded Model Error Representation for Bayesian Model Calibration
Khachik Sargsyan, Xun Huan, Habib N. Najm
Model error estimation remains one of the key challenges in uncertainty quantification and predictive science. For computational models of complex physical systems, model error, al…
Compressive sensing adaptation for polynomial chaos expansions
Panagiotis Tsilifis, Xun Huan, Cosmin Safta +5
Basis adaptation in Homogeneous Chaos spaces rely on a suitable rotation of the underlying Gaussian germ. Several rotations have been proposed in the literature resulting in adapta…