4 papers · 1 filter
The High-Order Magnetic Near-Axis Expansion: Ill-Posedness and Regularization
Maximilian Ruth, Rogerio Jorge, David Bindel
When analyzing stellarator configurations, it is common to perform an asymptotic expansion about the magnetic axis. This so-called near-axis expansion is convenient for the same re…
Differentiating Policies for Non-Myopic Bayesian Optimization
Darian Nwankwo, David Bindel
Bayesian optimization (BO) methods choose sample points by optimizing an acquisition function derived from a statistical model of the objective. These acquisition functions are cho…
Walking on Spheres and Talking to Neighbors: Variance Reduction for Laplace's Equation
Michael Czekanski, Benjamin Faber, Margaret Fairborn +2
Walk on Spheres algorithms leverage properties of Brownian Motion to create Monte Carlo estimates of solutions to a class of elliptic partial differential equations. We propose a n…
Finding Birkhoff Averages via Adaptive Filtering
Maximilian Ruth, David Bindel
In many applications, one is interested in classifying trajectories of Hamiltonian systems as invariant tori, islands, or chaos. The convergence rate of ergodic Birkhoff averages c…