50 citations · 193 across the 27 of their papers we have counts for
4 papers · 2 filters
Some observations on high-dimensional partial differential equations with Barron data
Weinan E, Stephan Wojtowytsch
We use explicit representation formulas to show that solutions to certain partial differential equations lie in Barron spaces or multilayer spaces if the PDE data lie in such funct…
Connected Coulomb Columns: Analysis and Numerics
Patrick Dondl, Matteo Novaga, Stephan Wojtowytsch +1
We consider a version of Gamow's liquid drop model with a short range attractive perimeter-penalizing potential and a long-range Coulomb interaction of a uniformly charged mass in…
On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime
Stephan Wojtowytsch
We describe a necessary and sufficient condition for the convergence to minimum Bayes risk when training two-layer ReLU-networks by gradient descent in the mean field regime with o…
On the motion of curved dislocations in three dimensions: Simplified linearized elasticity
Irene Fonseca, Janusz Ginster, Stephan Wojtowytsch
It is shown that in core-radius cutoff regularized simplified elasticity (where the elastic energy depends quadratically on the full displacement gradient rather than its symmetriz…