48 citations · 252 across the 96 of their papers we have counts for
12 papers · 1 filter
A Discontinuous Galerkin Method for Optimal Control of the Obstacle Problem
Harbir Antil, Rohit Khandelwal, Umarkhon Rakhimov
This article provides quasi-optimal a priori error estimates for an optimal control problem constrained by an elliptic obstacle problem where the finite element discretization is c…
On The Use of Risk Measures in Digital Twins to Identify Weaknesses in Structures
Facundo N. Airaudo, Harbir Antil, Rainald Löhner +1
Given measurements from sensors and a set of standard forces, an optimization based approach to identify weakness in structures is introduced. The key novelty lies in letting the l…
High-Fidelity Digital Twins: Detecting and Localizing Weaknesses in Structures
Rainald Löhner, Facundo N. Airaudo, Harbir Antil +3
An adjoint-based procedure to determine weaknesses, or, more generally, the material properties of structures is developed and tested. Given a series of load cases and correspondin…
On-Manifold Projected Gradient Descent
Aaron Mahler, Tyrus Berry, Tom Stephens +4
This work provides a computable, direct, and mathematically rigorous approximation to the differential geometry of class manifolds for high-dimensional data, along with nonlinear p…
GNEP Based Dynamic Segmentation and Motion Estimation for Neuromorphic Imaging
Harbir Antil, David Sayre
This paper explores the application of event-based cameras in the domains of image segmentation and motion estimation. These cameras offer a groundbreaking technology by capturing…
Randomized Reduced Basis Methods for Parameterized Fractional Elliptic PDEs
Harbir Antil, Arvind K. Saibaba
This paper is interested in developing reduced order models (ROMs) for repeated simulation of fractional elliptic partial differential equations (PDEs) for multiple values of the p…
A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method
Harbir Antil, Madhu Gupta, Randy Price
Empirical interpolation method (EIM) is a well-known technique to efficiently approximate parameterized functions. This paper proposes to use EIM algorithm to efficiently reduce th…
Adjoint-based Determination of Weaknesses in Structures
Facundo N. Airaudo, Rainald Löhner, Roland Wüchner +1
An adjoint-based procedure to determine weaknesses, or, more generally the material properties of structures is developed and tested. Given a series of force and deformation/strain…
Strong stationarity for optimal control problems with non-smooth integral equation constraints: Application to continuous DNNs
Harbir Antil, Livia Betz, Daniel Wachsmuth
Motivated by the residual type neural networks (ResNet), this paper studies optimal control problems constrained by a non-smooth integral equation. Such non-smooth equations, for i…
Bilevel Inverse Problems in Neuromorphic Imaging
Harbir Antil, David Sayre
Event or Neuromorphic cameras are novel biologically inspired sensors that record data based on the change in light intensity at each pixel asynchronously. They have a temporal res…
Adjoint-Based Estimation of Sensitivity of Clinical Measures to Boundary Conditions for Arteries
Rainald Löhner, Harbir Antil, Juan Cebral +1
The use of adjoint solvers is considered in order to obtain the sensitivity of clinical measures in aneurysms to incomplete (or unknown) boundary conditions and/or geometry. It is…
Smoothed Moreau-Yosida Tensor Train Approximation of State-constrained Optimization Problems under Uncertainty
Harbir Antil, Sergey Dolgov, Akwum Onwunta
We propose an algorithm to solve optimization problems constrained by partial (ordinary) differential equations under uncertainty, with almost sure constraints on the state variabl…