514 citations · 1.3k across the 26 of their papers we have counts for
5 papers · 1 filter
A density-matching approach for optimization under uncertainty
Pranay Seshadri, Paul Constantine, Gianluca Iaccarino +1
Modern computers enable methods for design optimization that account for uncertainty in the system---so-called optimization under uncertainty. We propose a metric for OUU that meas…
Exploiting Active Subspaces to Quantify Uncertainty in the Numerical Simulation of the HyShot II Scramjet
Paul Constantine, Michael Emory, Johan Larsson +1
We present a computational analysis of the reactive flow in a hypersonic scramjet engine with focus on effects of uncertainties in the operating conditions. We employ a novel metho…
Computing active subspaces with Monte Carlo
Paul Constantine, David Gleich
Active subspaces can effectively reduce the dimension of high-dimensional parameter studies enabling otherwise infeasible experiments with expensive simulations. The key components…
Discovering an active subspace in a single-diode solar cell model
Paul G. Constantine, Brian Zaharatos, Mark Campanelli
Predictions from science and engineering models depend on the values of the model's input parameters. As the number of parameters increases, algorithmic parameter studies like opti…
A quick-and-dirty check for a one-dimensional active subspace
Paul G. Constantine
Most engineering models contain several parameters, and the map from input parameters to model output can be viewed as a multivariate function. An active subspace is a low-dimensio…