6 citations · 14 across the 18 of their papers we have counts for
5 papers · 1 filter
High Spots for the Ice-Fishing Problem with Surface Tension
Nathan Willis, Chee Han Tan, Christel Hohenegger +1
In the ice-fishing problem, a half-space of fluid lies below an infinite rigid plate (``the ice'') with a hole. In this paper, we investigate the ice-fishing problem including the…
An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension
Chee Han Tan, Christel Hohenegger, Braxton Osting
In 1965, B. A. Troesch solved the isoperimetric sloshing problem of determining the container shape that maximizes the fundamental sloshing frequency among two classes of shallow c…
Probabilistic methods for approximate archetypal analysis
Ruijian Han, Braxton Osting, Dong Wang +1
Archetypal analysis is an unsupervised learning method for exploratory data analysis. One major challenge that limits the applicability of archetypal analysis in practice is the in…
Steklov Eigenvalues of Nearly Spherical Domains
Robert Viator, Braxton Osting
We consider Steklov eigenvalues of three-dimensional, nearly-spherical domains. In previous work, we have shown that the Steklov eigenvalues are analytic functions of the domain pe…
Quantifying Sufficient Randomness for Causal Inference
Brian Knaeble, Braxton Osting, Placede Tshiaba
Spurious association arises from covariance between propensity for the treatment and individual risk for the outcome. For sensitivity analysis with stochastic counterfactuals we in…