Gerrit Welper

Publication Activity (10 Years)

Years Active: 2012-2024
Publications (10 Years): 14

Top Topics

Partial Differential Equations

Trained Neural Networks

Top Venues

SIAM J. Sci. Comput.

J. Comput. Appl. Math.

SIAM J. Math. Anal.

Publications

Donsub Rim, Gerrit Welper
A Low Rank Neural Representation of Entropy Solutions. CoRR (2024)
Gerrit Welper
Approximation and Gradient Descent Training with Neural Networks. CoRR (2024)
Gerrit Welper
Approximation Results for Gradient Descent trained Neural Networks. CoRR (2023)
D. Rim, Gerrit Welper
Performance bounds for Reduced Order Models with Application to Parametric Transport. CoRR (2023)
Gerrit Welper
-Minimization Problems. CoRR (2023)
Gerrit Welper
Universality of gradient descent neural network training. Neural Networks 150 (2022)
R. Gentile, Gerrit Welper
Approximation results for Gradient Descent trained Shallow Neural Networks in 1d. CoRR (2022)
Gerrit Welper
Non-Convex Compressed Sensing with Training Data. CoRR (2021)
Gerrit Welper
A Relaxation Argument for Optimization in Neural Networks and Non-Convex Compressed Sensing. CoRR (2020)
Gerrit Welper
Transformed Snapshot Interpolation with High Resolution Transforms. SIAM J. Sci. Comput. 42 (4) (2020)
Gerrit Welper
Universality of Gradient Descent Neural Network Training. CoRR (2020)
Wolfgang Dahmen, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper
Adaptive anisotropic Petrov-Galerkin methods for first order transport equations. J. Comput. Appl. Math. 340 (2018)
Andrea Bonito, Albert Cohen, Ronald A. DeVore, Guergana Petrova, Gerrit Welper
Diffusion Coefficients Estimation for Elliptic Partial Differential Equations. SIAM J. Math. Anal. 49 (2) (2017)
Gerrit Welper
Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots. SIAM J. Sci. Comput. 39 (4) (2017)
Wolfgang Dahmen, Chunyan Huang, Christoph Schwab, Gerrit Welper
Adaptive Petrov-Galerkin Methods for First Order Transport Equations. SIAM J. Numer. Anal. 50 (5) (2012)