460 citations · 1.9k across the 48 of their papers we have counts for
51 papers
In Situ Framework for Coupling Simulation and Machine Learning with Application to CFD
Riccardo Balin, Filippo Simini, Cooper Simpson +7
Recent years have seen many successful applications of machine learning (ML) to facilitate fluid dynamic computations. As simulations grow, generating new training datasets for tra…
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…
Derivative-based SINDy (DSINDy): Addressing the challenge of discovering governing equations from noisy data
Jacqueline Wentz, Alireza Doostan
Recent advances in the field of data-driven dynamics allow for the discovery of ODE systems using state measurements. One approach, known as Sparse Identification of Nonlinear Dyna…
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…