109 citations · 522 across the 51 of their papers we have counts for
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cs.LG2018★ 22 cited
Improved robustness to adversarial examples using Lipschitz regularization of the loss
Chris Finlay, Adam Oberman, Bilal Abbasi
We augment adversarial training (AT) with worst case adversarial training (WCAT) which improves adversarial robustness by 11% over the current state-of-the-art result in the $\ell_…
cs.LG2018★ 24 cited
Lipschitz regularized Deep Neural Networks generalize and are adversarially robust
Chris Finlay, Jeff Calder, Bilal Abbasi +1
In this work we study input gradient regularization of deep neural networks, and demonstrate that such regularization leads to generalization proofs and improved adversarial robust…
math.NA2018
Improved accuracy of monotone finite difference schemes on point clouds and regular grids
Chris Finlay, Adam Oberman
Finite difference schemes are the method of choice for solving nonlinear, degenerate elliptic PDEs, because the Barles-Sougandis convergence framework [Barles and Sougandidis, Asym…