3 papers
cs.LG2026
Operator Surrogates
Christoph Schwab, Josephine Westermann, Jakob Zech
This chapter provides a mathematical introduction to operator surrogates, which are finite-parametric maps approximating complex (typically nonlinear) operators between infinite-di…
cs.LG2026
Performance of Neural and Polynomial Operator Surrogates
Josephine Westermann, Benno Huber, Thomas O'Leary-Roseberry +1
We consider the problem of constructing surrogate operators for parameter-to-solution maps arising from parametric partial differential equations, where repeated forward model eval…
math.NA2023
Measure transport via polynomial density surrogates
Josephine Westermann, Jakob Zech
We discuss an algorithm to compute transport maps that couple the uniform measure on with a specified target distribution on . The primary objectives are eit…