1 code implementation • 31 May 2019 • Jeffrey M. Hokanson, Paul G. Constantine
Assuming a multivariate function is Lipschitz continuous is one way to arrive at the curse of dimensionality---the situation where the cost of tasks such as approximation, integration, and optimization grow exponentially in the input dimension of the function.
Numerical Analysis 26B35, 62K05, 68Q25
no code implementations • 4 Aug 2017 • Paul G. Constantine, Zachary del Rosario, Gianluca Iaccarino
We derive the algorithms by combining classical semi-empirical modeling with active subspaces, which---given a probability density on the independent variables---yield unique and relevant dimensionless groups.
Numerical Analysis Methodology
1 code implementation • 20 Feb 2017 • Jeffrey M. Hokanson, Paul G. Constantine
A ridge approximation is one class of surrogate that models a quantity of interest as a nonlinear function of a few linear combinations of the input parameters.
Numerical Analysis 49M15, 62J02, 90C53
1 code implementation • 5 Sep 2016 • Andrew Glaws, Paul G. Constantine, John Shadid, Timothy M. Wildey
Magnetohydrodynamics (MHD)---the study of electrically conducting fluids---can be harnessed to produce efficient, low-emissions power generation.
Numerical Analysis
1 code implementation • 27 Jun 2016 • Paul G. Constantine, Alireza Doostan
Renewable energy researchers use computer simulation to aid the design of lithium ion storage devices.
Computational Physics Numerical Analysis
