514 citations · 1.3k across the 26 of their papers we have counts for
4 papers · 2 filters
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…
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 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…