Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data

In this Note we extend the Empirical Interpolation Method (EIM) to a regression context which accommodates noisy (experimental) data on an underlying parametric manifold. The EIM basis functions are computed Offline from the noise-free manifold; the EIM coefficients for any function on the manifold...

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Bibliographic Details
Main Authors: Patera, Anthony T., Ronquist, Einar M.
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: Elsevier 2015
Online Access:http://hdl.handle.net/1721.1/99385
https://orcid.org/0000-0002-2631-6463