A Sign Preserving WENO Reconstruction Method. - Ulrik S. Fjordholm; Deep Ray (J. Sci. Comput., 2016)

An entropy stable finite volume scheme for the two dimensional Navier-Stokes equations on triangular grids. - Deep Ray; Praveen Chandrashekar (Appl. Math. Comput., 2017)

An artificial neural network as a troubled-cell indicator. - Deep Ray; Jan S. Hesthaven (J. Comput. Phys., 2018)

On the approximation of rough functions with deep neural networks. - Tim De Ryck; Siddhartha Mishra; Deep Ray (CoRR, 2019)

Detecting troubled-cells on two-dimensional unstructured grids using a neural network. - Deep Ray; Jan S. Hesthaven (J. Comput. Phys., 2019)

Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem. - Qian Wang 021; Jan S. Hesthaven; Deep Ray (J. Comput. Phys., 2019)

Iterative Surrogate Model Optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks. - Kjetil O. Lye; Siddhartha Mishra; Deep Ray; Praveen Chandrasekhar (CoRR, 2020)

Multi-level Monte Carlo Finite Difference Methods for Fractional Conservation Laws with Random Data. - Ujjwal Koley; Deep Ray; Tanmay Sarkar (CoRR, 2020)

A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant. - Deep Ray; Chen Liu 015; Beatrice Riviere (CoRR, 2020)

Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial viscosity tuned by neural networks. - Niccolò Discacciati; Jan S. Hesthaven; Deep Ray (J. Comput. Phys., 2020)

Deep learning observables in computational fluid dynamics. - Kjetil O. Lye; Siddhartha Mishra; Deep Ray (J. Comput. Phys., 2020)

Constraint-aware neural networks for Riemann problems. - Jim Magiera; Deep Ray; Jan S. Hesthaven; Christian Rohde (J. Comput. Phys., 2020)

Solution of Physics-based Bayesian Inverse Problems with Deep Generative Priors. - Dhruv V. Patel; Deep Ray; Assad A. Oberai (CoRR, 2021)

Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks. - Lukas Schwander; Deep Ray; Jan S. Hesthaven (J. Comput. Phys., 2021)

Multilevel Monte Carlo Finite Difference Methods for Fractional Conservation Laws with Random Data. - Ujjwal Koley; Deep Ray; Tanmay Sarkar (SIAM/ASA J. Uncertain. Quantification, 2021)

The efficacy and generalizability of conditional GANs for posterior inference in physics-based inverse problems. - Deep Ray; Harisankar Ramaswamy; Dhruv V. Patel; Assad A. Oberai (CoRR, 2022)

Variationally Mimetic Operator Networks. - Dhruv Patel 001; Deep Ray; Michael R. A. Abdelmalik; Thomas J. R. Hughes; Assad A. Oberai (CoRR, 2022)

Probabilistic medical image imputation via deep adversarial learning. - Ragheb Raad; Dhruv Patel 001; Chiao-Chih Hsu; Vijay Kothapalli; Deep Ray; Bino A. Varghese; Darryl Hwang; Inderbir S. Gill; Vinay A. Duddalwar; Assad A. Oberai (Eng. Comput., 2022)

A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. - Chen Liu 015; Deep Ray; Christopher Thiele; Lu Lin; Beatrice Riviere (J. Comput. Phys., 2022)

Deep Learning and Computational Physics (Lecture Notes). - Deep Ray; Orazio Pinti; Assad A. Oberai (CoRR, 2023)

Solution of physics-based inverse problems using conditional generative adversarial networks with full gradient penalty. - Deep Ray; Javier Murgoitio-Esandi; Agnimitra Dasgupta; Assad A. Oberai (CoRR, 2023)

Learning end-to-end inversion of circular Radon transforms in the partial radial setup. - Deep Ray; Souvik Roy (CoRR, 2023)

Generative Algorithms for Fusion of Physics-Based Wildfire Spread Models with Satellite Data for Initializing Wildfire Forecasts. - Bryan Shaddy; Deep Ray; Angel Farguell; Valentina Calaza; Jan Mandel; James Haley; Kyle Hilburn; Derek V. Mallia; Adam K. Kochanski; Assad A. Oberai (CoRR, 2023)

A dimension-reduced variational approach for solving physics-based inverse problems using generative adversarial network priors and normalizing flows. - Agnimitra Dasgupta; Dhruv V. Patel; Deep Ray; Erik A. Johnson; Assad A. Oberai (CoRR, 2023)

Learning WENO for entropy stable schemes to solve conservation laws. - Philip Charles; Deep Ray (CoRR, 2024)

Probabilistic Brain Extraction in MR Images via Conditional Generative Adversarial Networks. - Saeed Moazami; Deep Ray; Daniel Pelletier; Assad A. Oberai (IEEE Trans. Medical Imaging, 2024)

An optimal Petrov-Galerkin framework for operator networks. - Philip Charles; Deep Ray; Yue Yu; Joost Prins; Hugo Melchers; Michael R. A. Abdelmalik; Jeffrey Cochran; Assad A. Oberai; Thomas J. R. Hughes; Mats G. Larson (CoRR, 2025)