48 citations · 252 across the 96 of their papers we have counts for
10 papers · 1 filter
Analysis of a sinc-Galerkin Method for the Fractional Laplacian
Harbir Antil, Patrick Dondl, Ludwig Striet
We provide the convergence analysis for a sinc-Galerkin method to solve the fractional Dirichlet problem. This can be understood as a follow-up of an earlier article by the same au…
Neural Network Representation of Time Integrators
Rainald Löhner, Harbir Antil
Deep neural network (DNN) architectures are constructed that are the exact equivalent of explicit Runge-Kutta schemes for numerical time integration. The network weights and biases…
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…
Optimal Control of a Quasi-Variational Sweeping Process
Harbir Antil, Rafael Arndt, Boris S. Mordukhovich +2
The paper addresses the study of a class of evolutionary quasi-variational inequalities of the parabolic type arising in the formation and growth models of granular and cohensionle…
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…
Efficient algorithms for Bayesian Inverse Problems with Whittle--Matérn Priors
Harbir Antil, Arvind K. Saibaba
This paper tackles efficient methods for Bayesian inverse problems with priors based on Whittle--Matérn Gaussian random fields. The Whittle--Matérn prior is characterized by a mean…
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…
Sparse optimization problems in fractional order Sobolev spaces
Harbir Antil, Daniel Wachsmuth
We consider optimization problems in the fractional order Sobolev spaces , , with sparsity promoting objective functionals containing -pseudonorms, $p\in (…
NINNs: Nudging Induced Neural Networks
Harbir Antil, Rainald Löhner, Randy Price
New algorithms called nudging induced neural networks (NINNs), to control and improve the accuracy of deep neural networks (DNNs), are introduced. The NINNs framework can be applie…
A Deterministic Pathogen Transmission Model Based on High-Fidelity Physics
Rainald Löhner, Harbir Antil, Juan Marcelo Gimenez +2
A deterministic pathogen transmission model based on high-fidelity physics has been developed. The model combines computational fluid dynamics and computational crowd dynamics in o…