97 citations · 223 across the 20 of their papers we have counts for
Showing 2020Show all
2 papers · 1 filter
math.OC2020★ 1 cited
Towards optimization techniques on diffeological spaces by generalizing Riemannian concepts
Nico Goldammer, Kathrin Welker
Diffeological spaces firstly introduced by J.M. Souriau in the 1980s are a natural generalization of smooth manifolds. However, optimization techniques are only known on manifolds…
math.OC2020
Stochastic approximation for optimization in shape spaces
Caroline Geiersbach, Estefania Loayza-Romero, Kathrin Welker
In this work, we present a novel approach for solving stochastic shape optimization problems. Our method is the extension of the classical stochastic gradient method to infinite-di…