3 papers
math.OC2022
Boundary control of time-harmonic eddy current equations
Harbir Antil, Hugo Díaz
Motivated by various applications, this article develops the notion of boundary control for Maxwell's equations in the frequency domain. Surface curl is shown to be the appropriate…
math.AP2022
Nonlocal Bounded Variations with Applications
Harbir Antil, Hugo Díaz, Tian Jing +1
Motivated by problems where jumps across lower dimensional subsets and sharp transitions across interfaces are of interest, this paper studies the properties of fractional bounded…
math.OC2022
An Optimal Time Variable Learning Framework for Deep Neural Networks
Harbir Antil, Hugo Díaz, Evelyn Herberg
Feature propagation in Deep Neural Networks (DNNs) can be associated to nonlinear discrete dynamical systems. The novelty, in this paper, lies in letting the discretization paramet…