b'Harbir Antil'

research

∙ 08/23/2023

On-Manifold Projected Gradient Descent

This work provides a computable, direct, and mathematically rigorous app...

0 Aaron Mahler, et al. ∙

research

∙ 07/05/2023

GNEP Based Dynamic Segmentation and Motion Estimation for Neuromorphic Imaging

This paper explores the application of event-based cameras in the domain...

0 Harbir Antil, et al. ∙

research

∙ 06/28/2023

Randomized Reduced Basis Methods for Parameterized Fractional Elliptic PDEs

This paper is interested in developing reduced order models (ROMs) for r...

0 Harbir Antil, et al. ∙

research

∙ 05/16/2023

A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method

Empirical interpolation method (EIM) is a well-known technique to effici...

0 Harbir Antil, et al. ∙

research

∙ 03/27/2023

Adjoint-based Determination of Weaknesses in Structures

An adjoint-based procedure to determine weaknesses, or, more generally t...

0 Facundo N. Airaudo, et al. ∙

research

∙ 01/20/2023

State-constrained Optimization Problems under Uncertainty: A Tensor Train Approach

We propose an algorithm to solve optimization problems constrained by pa...

0 Harbir Antil, et al. ∙

research

∙ 12/22/2022

Analysis of a sinc-Galerkin Method for the Fractional Laplacian

We provide the convergence analysis for a sinc-Galerkin method to solve ...

0 Harbir Antil, et al. ∙

research

∙ 11/30/2022

Neural Network Representation of Time Integrators

Deep neural network (DNN) architectures are constructed that are the exa...

0 Rainald Löhner, et al. ∙

research

∙ 09/29/2022

Boundary control of time-harmonic eddy current equations

Motivated by various applications, this article develops the notion of b...

0 Harbir Antil, et al. ∙

research

∙ 08/24/2022

Nonlocal Bounded Variations with Applications

Motivated by problems where jumps across lower dimensional subsets and s...

0 Harbir Antil, et al. ∙

research

∙ 05/09/2022

Efficient algorithms for Bayesian Inverse Problems with Whittle–Matérn Priors

This paper tackles efficient methods for Bayesian inverse problems with ...

0 Harbir Antil, et al. ∙

research

∙ 04/18/2022

An Optimal Time Variable Learning Framework for Deep Neural Networks

Feature propagation in Deep Neural Networks (DNNs) can be associated to ...

0 Harbir Antil, et al. ∙

research

∙ 03/15/2022

NINNs: Nudging Induced Neural Networks

New algorithms called nudging induced neural networks (NINNs), to contro...

0 Harbir Antil, et al. ∙

research

∙ 02/17/2022

A Deterministic Pathogen Transmission Model Based on High-Fidelity Physics

A deterministic pathogen transmission model based on high-fidelity physi...

0 Rainald Löhner, et al. ∙

research

∙ 11/22/2021

Data Assimilation with Deep Neural Nets Informed by Nudging

The nudging data assimilation algorithm is a powerful tool used to forec...

0 Harbir Antil, et al. ∙

research

∙ 11/09/2021

TTRISK: Tensor Train Decomposition Algorithm for Risk Averse Optimization

This article develops a new algorithm named TTRISK to solve high-dimensi...

0 Harbir Antil, et al. ∙

research

∙ 06/24/2021

Optimal Control, Numerics, and Applications of Fractional PDEs

This article provides a brief review of recent developments on two nonlo...

0 Harbir Antil, et al. ∙

research

∙ 06/23/2021

Non-diffusive Variational Problems with Distributional and Weak Gradient Constraints

In this paper, we consider non-diffusive variational problems with mixed...

0 Harbir Antil, et al. ∙

research

∙ 04/20/2021

Approximation of fractional harmonic maps

This paper addresses the approximation of fractional harmonic maps. Besi...

0 Harbir Antil, et al. ∙

research

∙ 04/03/2021

Convergence Analysis of the Rank-Restricted Soft SVD Algorithm

The soft SVD is a robust matrix decomposition algorithm and a key compon...

0 Mahendra Panagoda, et al. ∙

research

∙ 04/01/2021

Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows

Chemically reacting flows are common in engineering, such as hypersonic ...

0 Thomas S. Brown, et al. ∙

research

∙ 02/08/2021

Novel Deep neural networks for solving Bayesian statistical inverse

We consider the simulation of Bayesian statistical inverse problems gove...

0 Harbir Antil, et al. ∙

research

∙ 10/27/2020

A Note on Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems

In this note we present a multigrid preconditioning method for solving q...

0 Harbir Antil, et al. ∙

research

∙ 10/13/2020

Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis

Fueled by many applications in random processes, imaging science, geophy...

0 Harbir Antil, et al. ∙

research

∙ 06/23/2020

Detailed Simulation of Viral Propagation In The Built Environment

A summary is given of the mechanical characteristics of virus contaminan...

0 Rainald Löhner, et al. ∙

research

∙ 04/20/2020

Moreau-Yosida regularization for optimal control of fractional PDEs with state constraints: parabolic case

This paper considers optimal control of fractional parabolic PDEs with b...

0 Harbir Antil, et al. ∙

research

∙ 04/01/2020

Fractional Deep Neural Network via Constrained Optimization

This paper introduces a novel algorithmic framework for a deep neural ne...

0 Harbir Antil, et al. ∙

research

∙ 12/10/2019

Moreau-Yosida Regularization for Optimal Control of Fractional Elliptic Problems with State and Control Constraints

Recently the authors have studied a state and control constrained optima...

0 Harbir Antil, et al. ∙

research

∙ 12/06/2019

Revisiting Calderon's Problem

A finite element code for heat conduction, together with an adjoint solv...

0 Rainald Löhner, et al. ∙

research

∙ 11/28/2019

Diffusion Maps for Embedded Manifolds with Boundary with Applications to PDEs

Given only a collection of points sampled from a Riemannian manifold emb...

0 Ryan Vaughn, et al. ∙

research

∙ 10/31/2019

Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation

We study the controllability to trajectories, under positivity constrain...

0 Harbir Antil, et al. ∙

research

∙ 10/16/2019

Convergence of solutions of discrete semi-linear space-time fractional evolution equations

Let (-Δ)_c^s be the realization of the fractional Laplace operator on th...

0 Harbir Antil, et al. ∙

research

∙ 07/22/2019

Bilevel Optimization, Deep Learning and Fractional Laplacian Regularization with Applications in Tomography

In this work we consider a generalized bilevel optimization framework fo...

0 Harbir Antil, et al. ∙

research

∙ 07/02/2019

Adaptive particle-based approximations of the Gibbs posterior for inverse problems

In this work, we adopt a general framework based on the Gibbs posterior ...

0 Zilong Zou, et al. ∙

research

∙ 02/13/2019

Fractional Operators Applied to Geophysical Electromagnetics

A growing body of applied mathematics literature in recent years has foc...

0 Chester J. Weiss, et al. ∙

research

∙ 05/16/2018

A Note on QR-Based Model Reduction: Algorithm, Software, and Gravitational Wave Applications

While the proper orthogonal decomposition (POD) is optimal under certain...

0 Harbir Antil, et al. ∙

Harbir Antil

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