Publications

Ridge approximation and dimension reduction for an acoustic scattering model

Constantine, Paul G.; Hokanson, Jeffrey M.; Kouri, Drew P.

Problems in uncertainty quantification (UQ) suffer from the curse of dimensionality. One approach to address this issue is to identify and exploit low-dimensional structure in the underlying model. In this paper, we show that low-dimensional active subspaces are not present in a particular model arising from acoustic scattering. This suggests that UQ techniques based on active subspaces are not appropriate for this problem.