Harbir Antil

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 67

Top Topics

Optimal Control

Top Venues

SIAM J. Control. Optim.

SIAM J. Sci. Comput.

SIAM J. Math. Anal.

Publications

Harbir Antil, Hugo Díaz, Tian Jing, Armin Schikorra
Nonlocal Bounded Variations with Applications. SIAM J. Math. Anal. 56 (2) (2024)
Harbir Antil, Madeline O. Horton, Mahamadi Warma
Exterior Nonlocal Variational Inequalities. CoRR (2024)
Harbir Antil, Rohit Khandelwal
Elliptic Reconstruction and A Posteriori Error Estimates for Parabolic Variational Inequalities. CoRR (2024)
Aaron Mahler, Tyrus Berry, Tom Stephens, Harbir Antil, Michael Merritt, Jeanie Schreiber, Ioannis G. Kevrekidis
On-manifold projected gradient descent. Frontiers Comput. Sci. 6 (2024)
Harbir Antil, Arvind K. Saibaba
Efficient Algorithms for Bayesian Inverse Problems with Whittle-Matérn Priors. SIAM J. Sci. Comput. 46 (2) (2024)
Harbir Antil
Mathematical Opportunities in Digital Twins (MATH-DT). CoRR (2024)
Rainald Löhner, Harbir Antil, Fernando Mut, Juan R. Cebral
Adjoint-based estimation of sensitivity of clinical measures to boundary conditions for arteries. J. Comput. Phys. 497 (2024)
Harbir Antil, Sergey Dolgov, Akwum Onwunta
TTRISK: Tensor train decomposition algorithm for risk averse optimization. Numer. Linear Algebra Appl. 30 (3) (2023)
Harbir Antil, Madhu Gupta, Randy Price
A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method. CoRR (2023)
Rainald Löhner, Facundo N. Airaudo, Harbir Antil, Roland Wüchner, Fabian Meister, Suneth Warnakulasuriya
High-Fidelity Digital Twins: Detecting and Localizing Weaknesses in Structures. CoRR (2023)
Harbir Antil, Sergey Dolgov, Akwum Onwunta
State-constrained Optimization Problems under Uncertainty: A Tensor Train Approach. CoRR (2023)
Harbir Antil, Drew P. Kouri, Denis Ridzal
ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints. SIAM J. Optim. 33 (1) (2023)
Facundo N. Airaudo, Harbir Antil, Rainald Löhner, Umarkhon Rakhimov
On The Use of Risk Measures in Digital Twins to Identify Weaknesses in Structures. CoRR (2023)
Harbir Antil, Howard C. Elman, Akwum Onwunta, Deepanshu Verma
A deep neural network approach for parameterized PDEs and Bayesian inverse problems. Mach. Learn. Sci. Technol. 4 (3) (2023)
Harbir Antil, Arvind K. Saibaba
Randomized Reduced Basis Methods for Parameterized Fractional Elliptic PDEs. CoRR (2023)
Facundo N. Airaudo, Rainald Löhner, Roland Wüchner, Harbir Antil
Adjoint-based Determination of Weaknesses in Structures. CoRR (2023)
Harbir Antil, Patrick W. Dondl, Ludwig Striet
Analysis of a sinc-Galerkin Method for the Fractional Laplacian. SIAM J. Numer. Anal. 61 (6) (2023)
Harbir Antil, Rohit Khandelwal, Umarkhon Rakhimov
A Discontinuous Galerkin Method for Optimal Control of the Obstacle Problem. CoRR (2023)
Aaron Mahler, Tyrus Berry, Tom Stephens, Harbir Antil, Michael Merritt, Jeanie Schreiber, Ioannis G. Kevrekidis
On-Manifold Projected Gradient Descent. CoRR (2023)
Harbir Antil, David Sayre
GNEP Based Dynamic Segmentation and Motion Estimation for Neuromorphic Imaging. CoRR (2023)
Harbir Antil, Arvind K. Saibaba
Efficient algorithms for Bayesian Inverse Problems with Whittle-Matérn Priors. CoRR (2022)
Tianyi Shi, Harbir Antil, Drew P. Kouri
Spectral, Tensor and Domain Decomposition Methods for Fractional PDEs. Comput. Methods Appl. Math. 22 (4) (2022)
Rainald Löhner, Harbir Antil, Juan Marcelo Giménez, Sergio Idelsohn, Eugenio Oñate
A Deterministic Pathogen Transmission Model Based on High-Fidelity Physics. CoRR (2022)
Harbir Antil, Hugo Díaz
Boundary control of time-harmonic eddy current equations. CoRR (2022)
Rainald Löhner, Harbir Antil
Neural Network Representation of Time Integrators. CoRR (2022)
Harbir Antil, Hugo Díaz, Evelyn Herberg
An Optimal Time Variable Learning Framework for Deep Neural Networks. CoRR (2022)
Harbir Antil, Hugo Díaz, Tian Jing, Armin Schikorra
Nonlocal Bounded Variations with Applications. CoRR (2022)
Harbir Antil, Patrick W. Dondl, Ludwig Striet
Analysis of a sinc-Galerkin Method for the Fractional Laplacian. CoRR (2022)
Harbir Antil, Rainald Löhner, Randy Price
NINNs: Nudging Induced Neural Networks. CoRR (2022)
Christian A. Glusa, Harbir Antil, Marta D'Elia, Bart G. van Bloemen Waanders, Chester J. Weiss
A Fast Solver for the Fractional Helmholtz Equation. SIAM J. Sci. Comput. 43 (2) (2021)
Harbir Antil, Rainald Löhner, Randy Price
Data Assimilation with Deep Neural Nets Informed by Nudging. CoRR (2021)
Harbir Antil, Ratna Khatri, Rainald Löhner, Deepanshu Verma
Fractional deep neural network via constrained optimization. Mach. Learn. Sci. Technol. 2 (1) (2021)
Harbir Antil, Thomas S. Brown, Ratna Khatri, Akwum Onwunta, Deepanshu Verma, Mahamadi Warma
Optimal Control, Numerics, and Applications of Fractional PDEs. CoRR (2021)
Thomas S. Brown, Harbir Antil, Rainald Löhner, Fumiya Togashi, Deepanshu Verma
Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows. ISC Workshops (2021)
Harbir Antil, Howard C. Elman, Akwum Onwunta, Deepanshu Verma
Novel Deep neural networks for solving Bayesian statistical inverse. CoRR (2021)
Harbir Antil, Sergey Dolgov, Akwum Onwunta
TTRISK: Tensor Train Decomposition Algorithm for Risk Averse Optimization. CoRR (2021)
Harbir Antil, Carlos N. Rautenberg, Armin Schikorra
On a Fractional Version of a Murat Compactness Result and Applications. SIAM J. Math. Anal. 53 (3) (2021)
Harbir Antil, Sören Bartels, Armin Schikorra
Approximation of fractional harmonic maps. CoRR (2021)
Harbir Antil, Rafael Arndt, Carlos N. Rautenberg, Deepanshu Verma
Non-diffusive Variational Problems with Distributional and Weak Gradient Constraints. CoRR (2021)
Harbir Antil, Patrick W. Dondl, Ludwig Striet
Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis. SIAM J. Sci. Comput. 43 (4) (2021)
Harbir Antil, Drew P. Kouri, Johannes Pfefferer
Risk-Averse Control of Fractional Diffusion with Uncertain Exponent. SIAM J. Control. Optim. 59 (2) (2021)
Mahendra Panagoda, Tyrus Berry, Harbir Antil
Convergence Analysis of the Rank-Restricted Soft SVD Algorithm. CoRR (2021)
Thomas S. Brown, Harbir Antil, Rainald Löhner, Fumiya Togashi, Deepanshu Verma
Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows. CoRR (2021)
Rainald Löhner, Harbir Antil, Sergio Idelsohn, Eugenio Oñate
Detailed Simulation of Viral Propagation In The Built Environment. CoRR (2020)
Harbir Antil, Deepanshu Verma, Mahamadi Warma
Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the Dual of Fractional-Order Sobolev Spaces. J. Optim. Theory Appl. 186 (1) (2020)
Harbir Antil, Ratna Khatri, Rainald Löhner, Deepanshu Verma
Fractional Deep Neural Network via Constrained Optimization. CoRR (2020)
Harbir Antil, Andrei Draganescu, Kiefer Green
A Note on Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems. CoRR (2020)
Harbir Antil, Thomas S. Brown, Deepanshu Verma, Mahamadi Warma
Moreau-Yosida regularization for optimal control of fractional PDEs with state constraints: parabolic case. CoRR (2020)
Harbir Antil, Patrick W. Dondl, Ludwig Striet
Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis. CoRR (2020)
Harbir Antil, Thomas S. Brown, Deepanshu Verma
Moreau-Yosida Regularization for Optimal Control of Fractional Elliptic Problems with State and Control Constraints. CoRR (2019)
Zilong Zou, Sayan Mukherjee, Harbir Antil, Wilkins Aquino
Adaptive particle-based approximations of the Gibbs posterior for inverse problems. CoRR (2019)
Harbir Antil, Deepanshu Verma, Mahamadi Warma
Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the dual of Fractional Order Sobolev Spaces. CoRR (2019)
Harbir Antil, Zichao Di, Ratna Khatri
Bilevel Optimization, Deep Learning and Fractional Laplacian Regularization with Applications in Tomography. CoRR (2019)
Harbir Antil, Umberto Biccari, Rodrigo Ponce, Mahamadi Warma, Sebastián Zamorano
Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation. CoRR (2019)
Ryan Vaughn, Tyrus Berry, Harbir Antil
Diffusion Maps for Embedded Manifolds with Boundary with Applications to PDEs. CoRR (2019)
Harbir Antil, Carlos N. Rautenberg
Sobolev Spaces with Non-Muckenhoupt Weights, Fractional Elliptic Operators, and Applications. SIAM J. Math. Anal. 51 (3) (2019)
Rainald Löhner, Harbir Antil
Revisiting Calderon's Problem. CoRR (2019)
Harbir Antil, Yanlai Chen, Akil Narayan
Reduced Basis Methods for Fractional Laplace Equations via Extension. SIAM J. Sci. Comput. 41 (6) (2019)
Chester J. Weiss, Bart G. van Bloemen Waanders, Harbir Antil
Fractional Operators Applied to Geophysical Electromagnetics. CoRR (2019)
Harbir Antil, Carlos Lizama, Rodrigo Ponce, Mahamadi Warma
Convergence of solutions of discrete semi-linear space-time fractional evolution equations. CoRR (2019)
Harbir Antil, Enrique Otárola, Abner J. Salgado
Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects. J. Sci. Comput. 77 (1) (2018)
Harbir Antil, Dangxing Chen, Scott E. Field
A Note on QR-Based Model Reduction: Algorithm, Software, and Gravitational Wave Applications. Comput. Sci. Eng. 20 (4) (2018)
Harbir Antil, Dangxing Chen, Scott E. Field
A Note on QR-Based Model Reduction: Algorithm, Software, and Gravitational Wave Applications. CoRR (2018)
Harbir Antil, Sören Bartels
Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling. Comput. Methods Appl. Math. 17 (4) (2017)
Kevin Carlberg, Matthew B. Jones, Harbir Antil
Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. J. Comput. Phys. 330 (2017)
Harbir Antil, Sean Hardesty, Matthias Heinkenschloss
Shape Optimization of Shell Structure Acoustics. SIAM J. Control. Optim. 55 (3) (2017)
Harbir Antil, Enrique Otárola, Abner J. Salgado
A Space-Time Fractional Optimal Control Problem: Analysis and Discretization. SIAM J. Control. Optim. 54 (3) (2016)
Kevin Carlberg, Matthew F. Barone, Harbir Antil
Galerkin v. discrete-optimal projection in nonlinear model reduction. CoRR (2015)
Harbir Antil, Ricardo H. Nochetto, Patrick Sodré
Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis. SIAM J. Numer. Anal. 53 (5) (2015)
Harbir Antil, Enrique Otárola
A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators. SIAM J. Control. Optim. 53 (6) (2015)
Harbir Antil, Ricardo H. Nochetto, Patrick Sodré
Optimal Control of a Free Boundary Problem: Analysis with Second-Order Sufficient Conditions. SIAM J. Control. Optim. 52 (5) (2014)
Harbir Antil, Scott E. Field, Frank Herrmann, Ricardo H. Nochetto, Manuel Tiglio
Two-Step Greedy Algorithm for Reduced Order Quadratures. J. Sci. Comput. 57 (3) (2013)
Harbir Antil, Scott E. Field, Frank Herrmann, Ricardo H. Nochetto, Manuel Tiglio
Two-step greedy algorithm for reduced order quadratures CoRR (2012)
Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe, Christopher Linsenmann, Achim Wixforth
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. Math. Comput. Simul. 82 (10) (2012)
Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe
Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. Optim. Methods Softw. 26 (4-5) (2011)
Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe, Danny C. Sorensen
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Comput. Vis. Sci. 13 (6) (2010)
Harbir Antil, Ronald H. W. Hoppe, Christopher Linsenmann
Path-following primal-dual interior-point methods for shape optimization of stationary flow problems. J. Num. Math. 15 (2) (2007)
Ronald H. W. Hoppe, Christopher Linsenmann, Harbir Antil
Adaptive Path Following Primal Dual Interior Point Methods for Shape Optimization of Linear and Nonlinear Stokes Flow Problems. LSSC (2007)