171 citations · 689 across the 32 of their papers we have counts for
38 papers
Scalable Methods for Computing Sharp Extreme Event Probabilities in Infinite-Dimensional Stochastic Systems
Timo Schorlepp, Shanyin Tong, Tobias Grafke +1
We introduce and compare computational techniques for sharp extreme event probability estimates in stochastic differential equations with small additive Gaussian noise. In particul…
Hierarchical off-diagonal low-rank approximation of Hessians in inverse problems, with application to ice sheet model initializaiton
Tucker Hartland, Georg Stadler, Mauro Perego +2
Obtaining lightweight and accurate approximations of Hessian applies in inverse problems governed by partial differential equations (PDEs) is an essential task to make both determi…
Direct stellarator coil optimization for nested magnetic surfaces with precise quasi-symmetry
Andrew Giuliani, Florian Wechsung, Antoine Cerfon +2
We present a robust optimization algorithm for the design of electromagnetic coils that generate vacuum magnetic fields with nested flux surfaces and precise quasi-symmetry. The me…
Large deviation theory-based adaptive importance sampling for rare events in high dimensions
Shanyin Tong, Georg Stadler
We propose a method for the accurate estimation of rare event or failure probabilities for expensive-to-evaluate numerical models in high dimensions. The proposed approach combines…
Stellarator coil optimization supporting multiple magnetic configurations
Brandon F Lee, Elizabeth J Paul, Georg Stadler +1
We present a technique that can be used to design stellarators with a high degree of experimental flexibility. For our purposes, flexibility is defined by the range of values the r…
Direct computation of magnetic surfaces in Boozer coordinates and coil optimization for quasi-symmetry
Andrew Giuliani, Florian Wechsung, Matt Landreman +2
We propose a new method to compute magnetic surfaces that are parametrized in Boozer coordinates for vacuum magnetic fields. We also propose a measure for quasi-symmetry on the com…