485 citations · 652 across the 4 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
physics.comp-ph2019★ 1 cited
Deep active subspaces - a scalable method for high-dimensional uncertainty propagation
Rohit Tripathy, Ilias Bilionis
A problem of considerable importance within the field of uncertainty quantification (UQ) is the development of efficient methods for the construction of accurate surrogate models.…
physics.data-an2019★ 164 cited
Simulator-free Solution of High-Dimensional Stochastic Elliptic Partial Differential Equations using Deep Neural Networks
Sharmila Karumuri, Rohit Tripathy, Ilias Bilionis +1
Stochastic partial differential equations (SPDEs) are ubiquitous in engineering and computational sciences. The stochasticity arises as a consequence of uncertainty in input parame…