Author

Donsub Rim

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Open access Sep 2026

Performance Bounds for Reduced Order Models with Application to Parametric Transport

The Kolmogorov n -width is an established benchmark to judge the approximation properties of the reduced linear spaces arising from reduced order models (ROMs). Although immensely successful in the elliptic regime, this width shows unsatisfactory slow convergence rates for transport dominated problems. While this...

Donsub Rim, Gerrit Welper · Constructive approximation · 0 citations

Preprint Aug 2026

Adversarial Training Without Input Gradients via Low-Rank Householder Expansions

That such a regularizer exists is the main finding: the methods that dispense with the inner search all obtain their local geometry by differentiating with respect to the input, and it is shown this is not necessary.

T. C. Johnson, Donsub Rim · 0 citations