514 citations · 1.3k across the 26 of their papers we have counts for
7 papers · 1 filter
Randomized Learning of the Second-Moment Matrix of a Smooth Function
Armin Eftekhari, Michael B. Wakin, Ping Li +1
Consider an open set , equipped with a probability measure . An important characteristic of a smooth function $f:\mathbb{D}\rightarrow\mathbb{R}…
Dimension reduction in MHD power generation models: dimensional analysis and active subspaces
Andrew Glaws, Paul G. Constantine, John Shadid +1
Magnetohydrodynamics (MHD)---the study of electrically conducting fluids---can be harnessed to produce efficient, low-emissions power generation. Today, computational modeling assi…
Time-dependent global sensitivity analysis with active subspaces for a lithium ion battery model
Paul G. Constantine, Alireza Doostan
Renewable energy researchers use computer simulation to aid the design of lithium ion storage devices. The underlying models contain several physical input parameters that affect m…
A near-stationary subspace for ridge approximation
Paul G. Constantine, Armin Eftekhari, Jeffrey Hokanson +1
Response surfaces are common surrogates for expensive computer simulations in engineering analysis. However, the cost of fitting an accurate response surface increases exponentiall…
Many physical laws are ridge functions
Paul G. Constantine, Zachary del Rosario, Gianluca Iaccarino
A ridge function is a function of several variables that is constant along certain directions in its domain. Using classical dimensional analysis, we show that many physical laws a…
A Modified SEIR Model for the Spread of Ebola in Western Africa and Metrics for Resource Allocation
Paul Diaz, Paul Constantine, Kelsey Kalmbach +2
A modified, deterministic SEIR model is developed for the 2014 Ebola epidemic occurring in the West African nations of Guinea, Liberia, and Sierra Leone. The model describes the dy…
A randomized algorithm for enumerating zonotope vertices
Kerrek Stinson, David F. Gleich, Paul G. Constantine
We propose a randomized algorithm for enumerating the vertices of a zonotope, which is a low-dimensional linear projection of a hypercube. The algorithm produces a pair of the zono…