7 citations · 23 across the 18 of their papers we have counts for
4 papers · 1 filter
On the tradeoff between robustness and geometric accuracy in adversarial training
Rachel Morris, Ryan Murray, Kerrek Stinson
For non-parametric binary classification in the presence of an adversary, we prove an optimal quantitative estimate for adversarial classifiers controlling geometric accuracy, as m…
Variational properties of Perron's extremal solutions in the Bernoulli one-phase problem
Farhan Abedin, William M. Feldman, Kerrek Stinson
We study the Perron extremal solutions of the stationary one-phase Bernoulli problem. These solutions are important in several applications, but not much is known about the regular…
The -Limit Problem: Convergence of a Linear Degenerate Interface Transmission Problem
Toai Luong, Tadele Mengesha, Kerrek Stinson +2
We study the singular limit of a family of linear degenerate interface transmission problems arising from a regularization procedure in the newly proposed Two-Parameter Diffuse Dom…
Solid-solid phase transitions with space-dependent wells
Elisa Davoli, Jakob Deutsch, Manuel Friedrich +1
We investigate a second-order Modica-Mortola functional of the form \[ E_\varepsilon[u] := \int_Ω\frac{1}{\varepsilon} W(x, \nabla u) + \varepsilon|\nabla^2 u|^2 \, dx, \] which mo…