123 citations · 242 across the 7 of their papers we have counts for
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math.NA2021★ 7 cited
Nonlinear dimension reduction for surrogate modeling using gradient information
Daniele Bigoni, Youssef Marzouk, Clémentine Prieur +1
We introduce a method for the nonlinear dimension reduction of a high-dimensional function , . Our objective is to identify a nonlinear…
math.NA2014★ 123 cited
Spectral tensor-train decomposition
Daniele Bigoni, Allan P. Engsig-Karup, Youssef M. Marzouk
The accurate approximation of high-dimensional functions is an essential task in uncertainty quantification and many other fields. We propose a new function approximation scheme ba…