1.1k citations · 3.5k across the 39 of their papers we have counts for
43 papers
Bi-fidelity Variational Auto-encoder for Uncertainty Quantification
Nuojin Cheng, Osman Asif Malik, Subhayan De +2
Quantifying the uncertainty of quantities of interest (QoIs) from physical systems is a primary objective in model validation. However, achieving this goal entails balancing the ne…
The Dependence of Parallel Imaging with Linear Predictability on the Undersampling Direction
Alex McManus, Stephen Becker, Nicholas Dwork
Parallel imaging with linear predictability takes advantage of information present in multiple receive coils to accurately reconstruct the image with fewer samples. Commonly used a…
QuadConv: Quadrature-Based Convolutions with Applications to Non-Uniform PDE Data Compression
Kevin Doherty, Cooper Simpson, Stephen Becker +1
We present a new convolution layer for deep learning architectures which we call QuadConv -- an approximation to continuous convolution via quadrature. Our operator is developed ex…
Quadrature Sampling of Parametric Models with Bi-fidelity Boosting
Nuojin Cheng, Osman Asif Malik, Yiming Xu +3
Least squares regression is a ubiquitous tool for building emulators (a.k.a. surrogate models) of problems across science and engineering for purposes such as design space explorat…
Fast algorithms for least square problems with Kronecker lower subsets
Osman Asif Malik, Yiming Xu, Nuojin Cheng +3
While leverage score sampling provides powerful tools for approximating solutions to large least squares problems, the cost of computing exact scores and sampling often prohibits p…
On the computation of a non-parametric estimator by convex optimization
Akshay Seshadri, Stephen Becker
Estimation of linear functionals from observed data is an important task in many subjects. Juditsky & Nemirovski [The Annals of Statistics 37.5A (2009): 2278-2300] propose a framew…