Publications

Ahmad Peyvan, Vivek Oommen, Ameya D. Jagtap, George Em Karniadakis (2024). RiemannONets: Interpretable neural operators for Riemann problems.

Vivek Oommen, Khemraj Shukla, Saaketh Desai, Rémi Dingreville, George Em Karniadakis (2024). Rethinking materials simulations: Blending direct numerical simulations with neural operators.

Oded Ovadia, Vivek Oommen, Adar Kahana, Ahmad Peyvan, Eli Turkel, George Em Karniadakis (2023). Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO). arXiv.

Chenxi Wu, Alan John Varghese, Vivek Oommen, George Em Karniadakis (2023). GPT vs Human for Scientific Reviews: A Dual Source Review on Applications of ChatGPT in Science.

Khemraj Shukla, Vivek Oommen, Ahmad Peyvan, Michael Penwarden, Luis Bravo, Anindya Ghoshal, Robert M. Kirby, George Em Karniadakis (2023). Deep neural operators can serve as accurate surrogates for shape optimization: a case study for airfoils.

Vivek Oommen, Balaji Srinivasan (2022). Solving inverse heat transfer problems without surrogate models: A fast, data-sparse, physics informed neural network approach.

Vivek Oommen, Khemraj Shukla, Somdatta Goswami, Rémi Dingreville, George Em Karniadakis (2022). Learning two-phase microstructure evolution using neural operators and autoencoder architectures.