Sharp Concentration of Simple Random Tensors

Authors: Al-Ghattas, Omar, Chen, Jiaheng, Sanz-Alonso, Daniel

Subject Terms: Mathematics - Probability, Mathematics - Statistics Theory

Access URL: http://arxiv.org/abs/2502.16916

Goal-Oriented Real-Time Bayesian Inference for Linear Autonomous Dynamical Systems With Application to Digital Twins for Tsunami Early Warning

Authors: Henneking, Stefan, Venkat, Sreeram, Ghattas, Omar

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2501.14911

LazyDINO: Fast, scalable, and efficiently amortized Bayesian inversion via structure-exploiting and surrogate-driven measure transport

Authors: Cao, Lianghao, Chen, Joshua, Brennan, Michael, O'Leary-Roseberry, Thomas, Marzouk, Youssef, Ghattas, Omar

Subject Terms: Mathematics - Numerical Analysis, Computer Science - Machine Learning, Statistics - Computation, Statistics - Machine Learning

Access URL: http://arxiv.org/abs/2411.12726

Real-time aerodynamic load estimation for hypersonics via strain-based inverse maps

Authors: Pham, Julie, Ghattas, Omar, Clemens, Noel, Willcox, Karen

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2408.15286

Gaussian mixture Taylor approximations of risk measures constrained by PDEs with Gaussian random field inputs

Authors: Luo, Dingcheng, Chen, Joshua, Chen, Peng, Ghattas, Omar

Subject Terms: Mathematics - Numerical Analysis, Statistics - Computation, 65D32 (Primary) 35R60, 41A30, 65C20, 68U05 (Secondary)

Access URL: http://arxiv.org/abs/2408.06615

Optimal Estimation of Structured Covariance Operators

Authors: Al-Ghattas, Omar, Chen, Jiaheng, Sanz-Alonso, Daniel, Waniorek, Nathan

Subject Terms: Mathematics - Statistics Theory, Mathematics - Probability

Access URL: http://arxiv.org/abs/2408.02109

Inference of Heterogeneous Material Properties via Infinite-Dimensional Integrated DIC

Authors: Kirchhoff, Joseph, Luo, Dingcheng, O'Leary-Roseberry, Thomas, Ghattas, Omar

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2408.10217

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

Authors: Venkat, Sreeram, Fernando, Milinda, Henneking, Stefan, Ghattas, Omar

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2407.13066

Tempered Multifidelity Importance Sampling for Gravitational Wave Parameter Estimation

Authors: Saleh, Bassel, Zimmerman, Aaron, Chen, Peng, Ghattas, Omar

Subject Terms: General Relativity and Quantum Cosmology, Astrophysics - Instrumentation and Methods for Astrophysics, Statistics - Methodology

Access URL: http://arxiv.org/abs/2405.19407

Covariance Operator Estimation via Adaptive Thresholding

Authors: Al-Ghattas, Omar, Sanz-Alonso, Daniel

Subject Terms: Mathematics - Statistics Theory, Mathematics - Probability

Access URL: http://arxiv.org/abs/2405.18562

A First Course in Monte Carlo Methods

Authors: Sanz-Alonso, Daniel, Al-Ghattas, Omar

Subject Terms: Statistics - Computation, Mathematics - History and Overview, Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2405.16359

Derivative-informed neural operator acceleration of geometric MCMC for infinite-dimensional Bayesian inverse problems

Authors: Cao, Lianghao, O'Leary-Roseberry, Thomas, Ghattas, Omar

Subject Terms: Mathematics - Numerical Analysis, Computer Science - Machine Learning, Statistics - Computation, Statistics - Machine Learning

Access URL: http://arxiv.org/abs/2403.08220

A GPU-Accelerated AMR Solver for Gravitational Wave Propagation

Authors: Fernando, Milinda, Neilsen, David, Hirschmann, Eric, Zlochower, Yosef, Sundar, Hari, Ghattas, Omar, Biros, George

Source: SC22: International Conference for High Performance Computing, Networking, Storage and Analysis SC High Performance Computing, Networking, Storage and Analysis, SC22: International Conference for. :1-15 Nov, 2022

Relation: SC22: International Conference for High Performance Computing, Networking, Storage and Analysis

Covariance Operator Estimation: Sparsity, Lengthscale, and Ensemble Kalman Filters

Authors: Al-Ghattas, Omar, Chen, Jiaheng, Sanz-Alonso, Daniel, Waniorek, Nathan

Subject Terms: Mathematics - Statistics Theory, Mathematics - Probability

Access URL: http://arxiv.org/abs/2310.16933

Ensemble Kalman Filters with Resampling

Authors: Ghattas, Omar Al, Bao, Jiajun, Sanz-Alonso, Daniel

Subject Terms: Electrical Engineering and Systems Science - Systems and Control, Mathematics - Numerical Analysis, Mathematics - Statistics Theory

Access URL: http://arxiv.org/abs/2308.08751

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

Authors: Alger, Nick, Hartland, Tucker, Petra, Noemi, Ghattas, Omar

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2307.03349

Bayesian model calibration for diblock copolymer thin film self-assembly using power spectrum of microscopy data and machine learning surrogate

Authors: Cao, Lianghao, Wu, Keyi, Oden, J. Tinsley, Chen, Peng, Ghattas, Omar

Subject Terms: Physics - Computational Physics, Condensed Matter - Materials Science, Mathematics - Numerical Analysis, Statistics - Computation

Access URL: http://arxiv.org/abs/2306.05398

Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators

Authors: Luo, Dingcheng, O'Leary-Roseberry, Thomas, Chen, Peng, Ghattas, Omar

Subject Terms: Mathematics - Optimization and Control, Computer Science - Machine Learning, Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2305.20053

Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems

Authors: Cao, Lianghao, O'Leary-Roseberry, Thomas, Jha, Prashant K., Oden, J. Tinsley, Ghattas, Omar

Subject Terms: Mathematics - Numerical Analysis, Computer Science - Machine Learning, Statistics - Computation, Statistics - Machine Learning

Access URL: http://arxiv.org/abs/2210.03008

Interior over-penalized enriched Galerkin methods for second order elliptic equations

Authors: Lee, Jeonghun J., Ghattas, Omar

Subject Terms: Mathematics - Numerical Analysis, 65N15, 65N30

Access URL: http://arxiv.org/abs/2208.09969