Adaptive Petrov-Galerkin Methods for First Order Transport Equations. - Wolfgang Dahmen; Chunyan Huang; Christoph Schwab; Gerrit Welper (SIAM J. Numer. Anal., 2012)

Diffusion Coefficients Estimation for Elliptic Partial Differential Equations. - Andrea Bonito; Albert Cohen 002; Ronald A. DeVore; Guergana Petrova; Gerrit Welper (SIAM J. Math. Anal., 2017)

Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots. - Gerrit Welper (SIAM J. Sci. Comput., 2017)

Adaptive anisotropic Petrov-Galerkin methods for first order transport equations. - Wolfgang Dahmen; Gitta Kutyniok; Wang-Q Lim; Christoph Schwab; Gerrit Welper (J. Comput. Appl. Math., 2018)

A Relaxation Argument for Optimization in Neural Networks and Non-Convex Compressed Sensing. - Gerrit Welper (CoRR, 2020)

Transformed Snapshot Interpolation with High Resolution Transforms. - Gerrit Welper (SIAM J. Sci. Comput., 2020)

Non-Convex Compressed Sensing with Training Data. - Gerrit Welper (CoRR, 2021)

Approximation results for Gradient Descent trained Shallow Neural Networks in 1d. - R. Gentile; Gerrit Welper (CoRR, 2022)

Universality of gradient descent neural network training. - Gerrit Welper (Neural Networks, 2022)

Learning Trees of 𝓁0-Minimization Problems. - Gerrit Welper (CoRR, 2023)

Approximation Results for Gradient Descent trained Neural Networks. - Gerrit Welper (CoRR, 2023)

Performance bounds for Reduced Order Models with Application to Parametric Transport. - Donsub Rim; Gerrit Welper (CoRR, 2023)

Approximation and Gradient Descent Training with Neural Networks. - Gerrit Welper (CoRR, 2024)

A Low Rank Neural Representation of Entropy Solutions. - Donsub Rim; Gerrit Welper (CoRR, 2024)

FastLRNR and Sparse Physics Informed Backpropagation. - Woojin Cho; Kookjin Lee; Noseong Park; Donsub Rim; Gerrit Welper (CoRR, 2024)

Nonlinear Behaviour of Critical Points for a Simple Neural Network. - Gerrit Welper (Trans. Mach. Learn. Res., 2024)