Omar Ghattas

Orcid: 0000-0001-7742-2509

Affiliations:
  • University of Texas at Austin, USA


According to our database1, Omar Ghattas authored at least 107 papers between 1991 and 2024.

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Bibliography

2024
Derivative-Informed Neural Operator: An efficient framework for high-dimensional parametric derivative learning.
J. Comput. Phys., January, 2024

Point Spread Function Approximation of High-Rank Hessians with Locally Supported Nonnegative Integral Kernels.
SIAM J. Sci. Comput., 2024

SOUPy: Stochastic PDE-constrained optimization under high-dimensional uncertainty in Python.
J. Open Source Softw., 2024

Bayesian model calibration for block copolymer self-assembly: Likelihood-free inference and expected information gain computation via measure transport.
J. Comput. Phys., 2024

Real-time aerodynamic load estimation for hypersonics via strain-based inverse maps.
CoRR, 2024

Inference of Heterogeneous Material Properties via Infinite-Dimensional Integrated DIC.
CoRR, 2024

Gaussian mixture Taylor approximations of risk measures constrained by PDEs with Gaussian random field inputs.
CoRR, 2024

Fast and Scalable FFT-Based GPU-Accelerated Algorithms for Hessian Actions Arising in Linear Inverse Problems Governed by Autonomous Dynamical Systems.
CoRR, 2024

Efficient geometric Markov chain Monte Carlo for nonlinear Bayesian inversion enabled by derivative-informed neural operators.
CoRR, 2024

2023
Interior over-penalized enriched Galerkin methods for second order elliptic equations.
Comput. Math. Appl., December, 2023

hIPPYlib-MUQ: A Bayesian Inference Software Framework for Integration of Data with Complex Predictive Models under Uncertainty.
ACM Trans. Math. Softw., June, 2023

Large-Scale Bayesian Optimal Experimental Design with Derivative-Informed Projected Neural Network.
J. Sci. Comput., April, 2023

A Fast and Scalable Computational Framework for Large-Scale High-Dimensional Bayesian Optimal Experimental Design.
SIAM/ASA J. Uncertain. Quantification, March, 2023

An Offline-Online Decomposition Method for Efficient Linear Bayesian Goal-Oriented Optimal Experimental Design: Application to Optimal Sensor Placement.
SIAM J. Sci. Comput., February, 2023

Optimal design of chemoepitaxial guideposts for the directed self-assembly of block copolymer systems using an inexact Newton algorithm.
J. Comput. Phys., 2023

Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems.
J. Comput. Phys., 2023

Point spread function approximation of high rank Hessians with locally supported non-negative integral kernels.
CoRR, 2023

Bayesian model calibration for diblock copolymer thin film self-assembly using power spectrum of microscopy data.
CoRR, 2023

Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators.
CoRR, 2023

2022
A Globally Convergent Modified Newton Method for the Direct Minimization of the Ohta-Kawasaki Energy with Application to the Directed Self-Assembly of Diblock Copolymers.
SIAM J. Sci. Comput., 2022

Interior over-stabilized enriched Galerkin methods for second order elliptic equations.
CoRR, 2022

A stochastic Stein Variational Newton method.
CoRR, 2022

Derivative-informed projected neural network for large-scale Bayesian optimal experimental design.
CoRR, 2022

Forward and inverse modeling of fault transmissibility in subsurface flows.
Comput. Math. Appl., 2022

A GPU-Accelerated AMR Solver for Gravitational Wave Propagation.
Proceedings of the SC22: International Conference for High Performance Computing, 2022

2021
Learning physics-based models from data: perspectives from inverse problems and model reduction.
Acta Numer., May, 2021

hIPPYlib: An Extensible Software Framework for Large-Scale Inverse Problems Governed by PDEs: Part I: Deterministic Inversion and Linearized Bayesian Inference.
ACM Trans. Math. Softw., 2021

Stein Variational Reduced Basis Bayesian Inversion.
SIAM J. Sci. Comput., 2021

The imperative of physics-based modeling and inverse theory in computational science.
Nat. Comput. Sci., 2021

Taylor Approximation for Chance Constrained Optimization Problems Governed by Partial Differential Equations with High-Dimensional Random Parameters.
SIAM/ASA J. Uncertain. Quantification, 2021

Optimal design of acoustic metamaterial cloaks under uncertainty.
J. Comput. Phys., 2021

Adaptive Projected Residual Networks for Learning Parametric Maps from Sparse Data.
CoRR, 2021

A fast and scalable computational framework for goal-oriented linear Bayesian optimal experimental design: Application to optimal sensor placement.
CoRR, 2021

Bayesian Poroelastic Aquifer Characterization from InSAR Surface Deformation Data Part II: Quantifying the Uncertainty.
CoRR, 2021

2020
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs.
SIAM J. Sci. Comput., 2020

Tensor Train Construction From Tensor Actions, With Application to Compression of Large High Order Derivative Tensors.
SIAM J. Sci. Comput., 2020

Energy-conserving 3D elastic wave simulation with finite difference discretization on staggered grids with nonconforming interfaces.
CoRR, 2020

Derivative-Informed Projected Neural Networks for High-Dimensional Parametric Maps Governed by PDEs.
CoRR, 2020

A fast and scalable computational framework for large-scale and high-dimensional Bayesian optimal experimental design.
CoRR, 2020

Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs.
CoRR, 2020

Bayesian Poroelastic Aquifer Characterization from InSAR Surface Deformation Data. Part I: Maximum A Posteriori Estimate.
CoRR, 2020

Ill-Posedness and Optimization Geometry for Nonlinear Neural Network Training.
CoRR, 2020

Low Rank Saddle Free Newton: Algorithm and Analysis.
CoRR, 2020

Frontera: The Evolution of Leadership Computing at the National Science Foundation.
Proceedings of the PEARC '20: Practice and Experience in Advanced Research Computing, 2020

Projected Stein Variational Gradient Descent.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

2019
Scalable Matrix-Free Adaptive Product-Convolution Approximation for Locally Translation-Invariant Operators.
SIAM J. Sci. Comput., 2019

Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty.
J. Comput. Phys., 2019

Disentangled behavioural representations.
Proceedings of the Advances in Neural Information Processing Systems 32: Annual Conference on Neural Information Processing Systems 2019, 2019

Projected Stein Variational Newton: A Fast and Scalable Bayesian Inference Method in High Dimensions.
Proceedings of the Advances in Neural Information Processing Systems 32: Annual Conference on Neural Information Processing Systems 2019, 2019

2018
A Randomized Maximum A Posteriori Method for Posterior Sampling of High Dimensional Nonlinear Bayesian Inverse Problems.
SIAM J. Sci. Comput., 2018

hIPPYlib: An Extensible Software Framework for Large-Scale Inverse Problems.
J. Open Source Softw., 2018

2017
Weighted BFBT Preconditioner for Stokes Flow Problems with Highly Heterogeneous Viscosity.
SIAM J. Sci. Comput., 2017

A Data Scalable Augmented Lagrangian KKT Preconditioner for Large-Scale Inverse Problems.
SIAM J. Sci. Comput., 2017

Mean-Variance Risk-Averse Optimal Control of Systems Governed by PDEs with Random Parameter Fields Using Quadratic Approximations.
SIAM/ASA J. Uncertain. Quantification, 2017

2016
A Fast and Scalable Method for A-Optimal Design of Experiments for Infinite-dimensional Bayesian Nonlinear Inverse Problems.
SIAM J. Sci. Comput., 2016

Research and Education in Computational Science and Engineering.
CoRR, 2016

Scalable Algorithms for Bayesian Inference of Large-Scale Models from Large-Scale Data.
Proceedings of the High Performance Computing for Computational Science - VECPAR 2016, 2016

2015
Solution of Nonlinear Stokes Equations Discretized By High-Order Finite Elements on Nonconforming and Anisotropic Meshes, with Application to Ice Sheet Dynamics.
SIAM J. Sci. Comput., 2015

Recursive Algorithms for Distributed Forests of Octrees.
SIAM J. Sci. Comput., 2015

Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method.
J. Sci. Comput., 2015

Scalable and efficient algorithms for the propagation of uncertainty from data through inference to prediction for large-scale problems, with application to flow of the Antarctic ice sheet.
J. Comput. Phys., 2015

An extreme-scale implicit solver for complex PDEs: highly heterogeneous flow in earth's mantle.
Proceedings of the International Conference for High Performance Computing, 2015

A Nested Partitioning Algorithm for Adaptive Meshes on Heterogeneous Clusters.
Proceedings of the 29th ACM on International Conference on Supercomputing, 2015

2014
A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems, Part II: Stochastic Newton MCMC with Application to Ice Sheet Flow Inverse Problems.
SIAM J. Sci. Comput., 2014

A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized ℓ<sub>0</sub>-Sparsification.
SIAM J. Sci. Comput., 2014

An Analysis of Infinite Dimensional Bayesian Inverse Shape Acoustic Scattering and Its Numerical Approximation.
SIAM/ASA J. Uncertain. Quantification, 2014

2013
A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems Part I: The Linearized Case, with Application to Global Seismic Inversion.
SIAM J. Sci. Comput., 2013

A Unified Discontinuous Petrov-Galerkin Method and Its Analysis for Friedrichs' Systems.
SIAM J. Numer. Anal., 2013

Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations.
Math. Comput., 2013

A Nested Partitioning Scheme for Parallel Heterogeneous Clusters.
CoRR, 2013

2012
A Stochastic Newton MCMC Method for Large-Scale Statistical Inverse Problems with Application to Seismic Inversion.
SIAM J. Sci. Comput., 2012

Adaptive Hessian-Based Nonstationary Gaussian Process Response Surface Method for Probability Density Approximation with Application to Bayesian Solution of Large-Scale Inverse Problems.
SIAM J. Sci. Comput., 2012

Analysis of an hp-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation.
SIAM J. Numer. Anal., 2012

Dynamic Data Driven Methods for Self-aware Aerospace Vehicles.
Proceedings of the International Conference on Computational Science, 2012

Parallel geometric-algebraic multigrid on unstructured forests of octrees.
Proceedings of the SC Conference on High Performance Computing Networking, 2012

Extreme-scale UQ for Bayesian inverse problems governed by PDEs.
Proceedings of the SC Conference on High Performance Computing Networking, 2012

Low-Cost Parallel Algorithms for 2: 1 Octree Balance.
Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium, 2012

2011
Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian Approximations.
SIAM J. Sci. Comput., 2011

p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees.
SIAM J. Sci. Comput., 2011

A Shape Hessian-Based Boundary Roughness Analysis of Navier-Stokes Flow.
SIAM J. Appl. Math., 2011

2010
Variational Image Segmentation for Endoscopic Human Colonic Aberrant Crypt Foci.
IEEE Trans. Medical Imaging, 2010

Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems.
SIAM J. Sci. Comput., 2010

A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media.
J. Comput. Phys., 2010

Extreme-Scale AMR.
Proceedings of the Conference on High Performance Computing Networking, 2010

2008
Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space.
SIAM J. Sci. Comput., 2008

Scalable adaptive mantle convection simulation on petascale supercomputers.
Proceedings of the ACM/IEEE Conference on High Performance Computing, 2008

2007
Goal-oriented, model-constrained optimization for reduction of large-scale systems.
J. Comput. Phys., 2007

Hessian-Based Model Reduction for Large-Scale Data Assimilation Problems.
Proceedings of the Computational Science, 2007

2006
Scalable systems software - From mesh generation to scientific visualization: an end-to-end approach to parallel supercomputing.
Proceedings of the ACM/IEEE SC2006 Conference on High Performance Networking and Computing, 2006

Analytics challenge - Remote runtime steering of integrated terascale simulation and visualization.
Proceedings of the ACM/IEEE SC2006 Conference on High Performance Networking and Computing, 2006

Inversion of Airborne Contaminants in a Regional Model.
Proceedings of the Computational Science, 2006

Parallel Algorithms for PDE-Constrained Optimization.
Proceedings of the Parallel Processing for Scientific Computing, 2006

2005
Parallel Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization. Part II: The Lagrange-Newton Solver and Its Application to Optimal Control of Steady Viscous Flows.
SIAM J. Sci. Comput., 2005

Parallel Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization. Part I: The Krylov-Schur Solver.
SIAM J. Sci. Comput., 2005

Scalable Parallel Octree Meshing for TeraScale Applications.
Proceedings of the ACM/IEEE SC2005 Conference on High Performance Networking and Computing, 2005

Dynamic Data-Driven Inversion For Terascale Simulations: Real-Time Identification Of Airborne Contaminants.
Proceedings of the ACM/IEEE SC2005 Conference on High Performance Networking and Computing, 2005

An Optimization Frame work for Goal-Oriented, Model-Based Reduction of Large-Scale Systems.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004
A Framework for Online Inversion-Based 3D Site Characterization.
Proceedings of the Computational Science, 2004

2003
Visualizing Very Large-Scale Earthquake Simulations.
Proceedings of the ACM/IEEE SC2003 Conference on High Performance Networking and Computing, 2003

High Resolution Forward And Inverse Earthquake Modeling on Terascale Computers.
Proceedings of the ACM/IEEE SC2003 Conference on High Performance Networking and Computing, 2003

2002
Parallel multiscale Gauss-Newton-Krylov methods for inverse wave propagation.
Proceedings of the 2002 ACM/IEEE conference on Supercomputing, 2002

2001
Optimal Design of Truss Structures by Logic-Based Branch and Cut.
Oper. Res., 2001

2000
A Parallel Dynamic-Mesh Lagrangian Method for Simulation of Flows with Dynamic Interfaces.
Proceedings of the Proceedings Supercomputing 2000, 2000

1999
Parallel Netwon-Krylov Methods for PDE-Constrained Optimization.
Proceedings of the ACM/IEEE Conference on Supercomputing, 1999

1995
Towards More Capable and Less Invasive Robotic Surgery in Orthopaedics.
Proceedings of the Computer Vision, 1995

1994
Finite element pre-operative simulation of cementless hip replacement.
Proceedings of the 26th conference on Winter simulation, 1994

1991
Geometric Reasoning for Shape Design.
Proceedings of the 9th National Conference on Artificial Intelligence, 1991


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