48 citations · 252 across the 96 of their papers we have counts for
120 papers
Three-Dimensional Simulation of Flood Propagation at Syabrubesi, Nepal
Rainald Löhner, Harbir Antil
Three-dimensional flood propagation through the Bhote Koshi--Langtang Khola junction at Syabrubesi, Nepal, is studied using an incompressible free-surface model. The calculation is…
Relative Primal--Dual Gap Certificates for Operator-Composite Trust-Region Methods
Harbir Antil
We study trust-region minimization of a smooth, possibly nonconvex functional plus a convex functional composed with a bounded linear operator. A relative primal--dual gap conditio…
A Function-Space Framework for BDDC Preconditioning in Control- and State-Constrained Sparse Optimal Control
Harbir Antil, Keegan L. A. Kirk, Umarkhon Rakhimov
We develop a Balancing Domain Decomposition by Constraints (BDDC) preconditioner for the interface systems arising from active-set semi-smooth Newton linearizations of elliptic opt…
QH-GEM: Quantum-Hydrodynamic Generative Modeling
Harbir Antil, Alex Kaltenbach, Sarswati Shah
In this paper, we develop a deterministic, physically constrained generative framework based on the Madelung formulation of the free-particle Schrödinger equation. A reference Born…
Duality-Based Error Identities for Subgradient Flows Based on the Brézis-Ekeland-Nayroles Principle
Harbir Antil, Alex Kaltenbach, Keegan L. A. Kirk
We derive duality-based error identities for a broad class of subgradient flows induced by time-dependent convex integral functionals. Starting from the Bré…
Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform
Harbir Antil, Rocío Díaz Martín, Ivan V. Medri +4
We propose a reduced order modeling (ROM) framework for 1D conservative PDEs based on the cumulative distribution transform (CDT). The CDT maps nonnegative, equal-mass states into…
ESAR: Event-Based Synthetic Aperture Reconstruction
Harbir Antil, Daniel Blauvelt, David Sayre
Event cameras report asynchronous polarity events when changes in log--radiance exceed a fixed contrast threshold, producing signed temporal contrast measurements rather than conve…
Duality Framework for Flux Constrained Flow in Porous Media: Analysis and Numerics
Harbir Antil, Keegan L. A. Kirk, Felipe Pérez
We introduce and analyze Darcy flow through a saturated porous medium subject to bilateral constraints on the normal flux across a portion of the boundary. The problem is posed as…
A Finite Element Approximation of an Optimal Insulation Problem with Convective Heat Transfer
Harbir Antil, Alex Kaltenbach, Keegan L. A. Kirk
A finite element discretization of an optimal insulation problem with convective heat transfer is considered. The model is formulated as a non-smooth, two-variable convex minimizat…
A Discrete Cumulative Distribution Transform via Optimal Transport
Harbir Antil, Gustavo Rohde, Aryan Saxena
This paper develops a fully discrete cumulative distribution transform (CDT) for atomic probability measures on the real line. The transform is defined through monotone quantile ma…
Additive Noise, Shift Recovery, and Signed Signals in the Cumulative Distribution Transform
Harbir Antil, Ratna Khatri, Aryan Saxena
The cumulative distribution transform (CDT) is a quantile-based transport representation that exactly linearizes one-dimensional translations of positive densities. We study how th…
Polarization-Induced Beam Bending: Mathematical Model, Discretization, and Algorithm
Harbir Antil, Rainald Löhner, Sarswati Shah
We study a reduced hydrodynamic formulation of paraxial vector beam propagation in which the beam intensity, optical phase, and spatially-dependent polarization are coupled through…
Structure-Preserving Optimal Control of Maxwell's Equations with Applications to Source Cloaking
Harbir Antil, Yaw Owusu-Agyemang, Rohit Khandelwal +2
We develop a structure-preserving solution framework for the optimal control of the time-dependent Maxwell's equations. Building on a well-posedness theory for a weak form of the f…
An online adaptive finite-element method for nonsmooth PDE-constrained optimization
Harbir Antil, Robert J. Baraldi, Rohit Khandelwal +1
We present a trust-region-based adaptive finite-element algorithm for numerically solving a class of nonsmooth PDE-constrained optimization problems that includes problems with spa…
Risk-averse optimization under distributional uncertainty with Rockafellian relaxation
Harbir Antil, Alonso J. Bustos, Sean P. Carney +1
A framework for risk-averse optimization problems is introduced that is resilient to ambiguities in the true form of the underlying probability distribution. The focus is on proble…
One-Way Thermo-Mechanical Coupled System Identification Using Displacement and Temperature Measurements
Talhah Shamshad Ali Ansari, Suneth Warnakulasuriya, Ihar Antonau +3
Structural system identification in the presence of thermal loads is challenging, as unmeasured or poorly modeled thermal effects can mask or mimic damage, leading to unreliable co…
Fisher-Information-Based Sensor Placement for Structural Digital Twins: Analytic Results and Benchmarks
Harbir Antil, Animesh Jain, Rainald Löhner
High-fidelity digital twins rely on the accurate assimilation of sensor data into physics-based computational models. In structural applications, such twins aim to identify spatial…
Well-Posedness of Pseudo-Parabolic Gradient Systems with State-Dependent Dynamics
Harbir Antil, Daiki Mizuno, Ken Shirakawa +1
This paper develops a general mathematical framework for pseudo-parabolic gradient systems with state-dependent dynamics. The state dependence is induced by variable coefficient fi…
Convection Effects and Optimal Insulation: Modelling and Analysis
Harbir Antil, Alex Kaltenbach, Keegan L. A. Kirk
In this paper, we study an insulation problem that seeks to determine the optimal distribution of a given amount of insulating material coating an insulated boundary part $Γ_…
Optimal Boundary Control of Diffusion on Graphs via Linear Programming
Harbir Antil, Rainald Löhner, Felipe Pérez
We propose a linear programming (LP) framework for steady-state diffusion and flux optimization on geometric networks. The state variable satisfies a discrete diffusion law on a we…
Well-Posedness and Approximation of Weak Solutions to Time Dependent Maxwell's Equations with -Data
Harbir Antil
We study Maxwell's equations in conducting media with perfectly conducting boundary conditions on Lipschitz domains, allowing rough material coefficients and -data. Our first…
Randomized Matrix Sketching for Neural Network Training and Gradient Monitoring
Harbir Antil, Deepanshu Verma
Neural network training relies on gradient computation through backpropagation, yet memory requirements for storing layer activations present significant scalability challenges. We…
OCTANE -- Optimal Control for Tensor-based Autoencoder Network Emergence: Explicit Case
Ratna Khatri, Anthony Kolshorn, Colin Olson +1
This paper presents a novel, mathematically rigorous framework for autoencoder-type deep neural networks that combines optimal control theory and low-rank tensor methods to yield m…
A smoothed proximal trust-region algorithm for nonconvex optimization problems with -regularization,
Harbir Antil, Anna Lentz
We investigate a trust-region algorithm to solve a nonconvex optimization problem with -regularization for . The algorithm relies on descent properties of a so-call…