22 citations · 52 across the 5 of their papers we have counts for
5 papers
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_…
A partial differential equation for the strictly quasiconvex envelope
Bilal Abbasi, Adam M. Oberman
In a series of papers Barron, Goebel, and Jensen studied Partial Differential Equations (PDE)s for quasiconvex (QC) functions \cite{barron2012functions, barron2012quasiconvex,barro…
Computing the quasiconvex envelope using a nonlocal line solver
Bilal Abbasi, Adam M. Oberman
Recently in a series of articles, Barron, Goebel, and Jensen \cite{barron2012functions} \cite{barron2012quasiconvex} \cite{barron2013quasiconvex} \cite{barron2013uniqueness} have s…
Anomaly detection and classification for streaming data using PDEs
Bilal Abbasi, Jeff Calder, Adam M. Oberman
Nondominated sorting, also called Pareto Depth Analysis (PDA), is widely used in multi-objective optimization and has recently found important applications in multi-criteria anomal…
On the initial value problem for the wave equation in Friedmann -- Robertson -- Walker space-times
Bilal Abbasi, Walter Craig
We study the wave propagator for a Friedmann - Robertson - Walker background space-time, which is singular at time t=0. Using a spherical means formulation for the solution of the…