514 citations · 1.3k across the 26 of their papers we have counts for
5 papers · 1 filter
Exact active subspace Metropolis-Hastings, with applications to the Lorenz-96 system
Ingmar Schuster, Paul G. Constantine, T. J. Sullivan
We consider the application of active subspaces to inform a Metropolis-Hastings algorithm, thereby aggressively reducing the computational dimension of the sampling problem. We sho…
Gauss-Christoffel quadrature for inverse regression: applications to computer experiments
Andrew Glaws, Paul G. Constantine
Sufficient dimension reduction (SDR) provides a framework for reducing the predictor space dimension in regression problems. We consider SDR in the context of deterministic functio…
Data-driven dimensional analysis: algorithms for unique and relevant dimensionless groups
Paul G. Constantine, Zachary del Rosario, Gianluca Iaccarino
Classical dimensional analysis has two limitations: (i) the computed dimensionless groups are not unique, and (ii) the analysis does not measure relative importance of the dimensio…
Active subspaces of airfoil shape parameterizations
Zachary J. Grey, Paul G. Constantine
Design and optimization benefit from understanding the dependence of a quantity of interest (e.g., a design objective or constraint function) on the design variables. A low-dimensi…
Data-driven polynomial ridge approximation using variable projection
Jeffrey M. Hokanson, Paul G. Constantine
Inexpensive surrogates are useful for reducing the cost of science and engineering studies involving large-scale, complex computational models with many input parameters. A ridge a…