514 citations · 1.3k across the 26 of their papers we have counts for
3 papers · 1 filter
A Lanczos-Stieltjes method for one-dimensional ridge function approximation and integration
Andrew Glaws, Paul G. Constantine
Many of the input-parameter-to-output-quantity-of-interest maps that arise in computational science admit a surprising low-dimensional structure, where the outputs vary primarily a…
Inverse regression for ridge recovery II: Numerics
Andrew Glaws, Paul G. Constantine, R. Dennis Cook
We investigate the application of sufficient dimension reduction (SDR) to a noiseless data set derived from a deterministic function of several variables. In this context, SDR prov…
Gradient-based dimension reduction of multivariate vector-valued functions
Olivier Zahm, Paul Constantine, Clémentine Prieur +1
Multivariate functions encountered in high-dimensional uncertainty quantification problems often vary most strongly along a few dominant directions in the input parameter space. We…