activity
20132026
most citedTowards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't

50 citations · 193 across the 27 of their papers we have counts for

collaborators
Showing 2017 · math.APShow all

2 papers · 2 filters

math.AP2017★ 3 cited

The Effect of Forest Dislocations on the Evolution of a Phase-Field Model for Plastic Slip

Patrick W. Dondl, Matthias W. Kurzke, Stephan Wojtowytsch

We consider the gradient flow evolution of a phase-field model for crystal dislocations in a single slip system in the presence of forest dislocations. The model consists of a Peie…

math.AP2017

On the Boundary Regularity of Phase-Fields for Willmore's Energy

Patrick Dondl, Stephan Wojtowytsch

We demonstrate that Radon measures which arise as the limit of the Modica-Mortola measures associated to phase-fields with uniformly bounded diffuse area and Willmore energy may be…