110 citations · 237 across the 27 of their papers we have counts for
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math.NA2021★ 11 cited
The Kolmogorov Superposition Theorem can Break the Curse of Dimensionality When Approximating High Dimensional Functions
Ming-Jun Lai, Zhaiming Shen
We explain how to use Kolmogorov Superposition Theorem (KST) to break the curse of dimensionality when approximating a dense class of multivariate continuous functions. We first sh…
math.NA2021
A Multivariate Spline based Collocation Method for Numerical Solution of Partial Differential Equations
Ming-Jun Lai, Jinsil Lee
We propose a collocation method based on multivariate polynomial splines over triangulation or tetrahedralization for the numerical solution of partial differential equations. We s…