Recent years have seen many successful applications of machine learning ...
Quantifying the uncertainty of quantities of interest (QoIs) from physic...
We present a new convolution layer for deep learning architectures which...
Least squares regression is a ubiquitous tool for building emulators (a....
Approximate solutions to large least squares problems can be computed
ef...
Recent advances in modeling large-scale complex physical systems have sh...
In recent years there has been a push to discover the governing equation...
A new, machine learning-based approach for automatically generating 3D
d...
We propose a method for quantifying uncertainty in high-dimensional PDE
...
In recent years, identification of nonlinear dynamical systems from data...
With the capability of accurately representing a functional relationship...
Matrices arising in scientific applications frequently admit linear low-...
A ubiquitous challenge in design space exploration or uncertainty
quanti...
Present day computational fluid dynamics simulations generate extremely ...
This work proposes an iterative sparse-regularized regression method to
...
Due to their high degree of expressiveness, neural networks have recentl...
Topology optimization under uncertainty (TOuU) often defines objectives ...
In the field of uncertainty quantification, sparse polynomial chaos (PC)...