3 papers
math.NA2023
Fredholm integral equations for function approximation and the training of neural networks
Patrick Gelß, Aizhan Issagali, Ralf Kornhuber
We present a novel and mathematically transparent approach to function approximation and the training of large, high-dimensional neural networks, based on the approximate least-squ…
math.NA2020
Free energy computation of particles with membrane-mediated interactions via Langevin dynamics
Tobias Kies, Carsten Gräser, Luigi Delle Site +1
We apply well-established concepts of Langevin sampling to derive a new class of algorithms for the efficient computation of free energy differences of fluctuating particles embedd…
math.NA2020
Numerical Homogenization of Fractal Interface Problems
Ralf Kornhuber, Joscha Podlesny, Harry Yserentant
We consider the numerical homogenization of a class of fractal elliptic interface problems inspired by related mechanical contact problems from the geosciences. A particular featur…