4 papers
Generative Inverse Design with Abstention via Diagonal Flow Matching
Miguel de Campos, Werner Krebs, Hanno Gottschalk
Inverse design aims to find design parameters achieving target performance . Generative approaches learn bidirectional mappings between designs and labels, enabling divers…
Consistency of Learned Sparse Grid Quadrature Rules using NeuralODEs
Hanno Gottschalk, Emil Partow, Tobias J. Riedlinger
We prove consistency of a recently proposed scheme that evaluates expected values by composing a learned transport map with Clenshaw--Curtis sparse-grid quadrature on a tractable p…
Regularity of Solutions to Beckmann's Parametric Optimal Transport
Hanno Gottschalk, Tobias J. Riedlinger
Beckmann's problem in optimal transport minimizes the total squared flux in a continuous transport problem from a source to a target distribution. In this article, the regularity t…
Numerical and statistical analysis of NeuralODE with Runge-Kutta time integration
Emily C. Ehrhardt, Hanno Gottschalk, Tobias J. Riedlinger
NeuralODE is one example for generative machine learning based on the push forward of a simple source measure with a bijective mapping, which in the case of NeuralODE is given by t…