• Corpus ID: 196831739

Embedded Ridge Approximations: Constructing Ridge Approximations Over Localized Scalar Fields For Improved Simulation-Centric Dimension Reduction

@article{Wong2019EmbeddedRA,
  title={Embedded Ridge Approximations: Constructing Ridge Approximations Over Localized Scalar Fields For Improved Simulation-Centric Dimension Reduction},
  author={Chun Yui Wong and Pranay Seshadri and Geoffrey T. Parks and Mark A. Girolami},
  journal={ArXiv},
  year={2019},
  volume={abs/1907.07037}
}
Many quantities of interest (qois) arising from differential-equation-centric models can be resolved into functions of scalar fields. Examples of such qois include the lift over an airfoil or the displacement of a loaded structure; examples of corresponding fields are the static pressure field in a computational fluid dynamics solution, and the strain field in the finite element elasticity analysis. These scalar fields are evaluated at each node within a discretized computational domain. In… 
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