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

Solving Inverse Heat Transfer Problems Without Surrogate Models: A Fast, Data-Sparse, Physics Informed Neural Network Approach. - Vivek Oommen; Balaji Srinivasan (J. Comput. Inf. Sci. Eng., 2022)

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

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

Rethinking materials simulations: Blending direct numerical simulations with neural operators. - Vivek Oommen; Khemraj Shukla; Saaketh Desai; Rémi Dingreville; George Em Karniadakis (CoRR, 2023)

RiemannONets: Interpretable Neural Operators for Riemann Problems. - Ahmad Peyvan; Vivek Oommen; Ameya D. Jagtap; George Em Karniadakis (CoRR, 2024)

Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling. - Vivek Oommen; Aniruddha Bora; Zhen Zhang 029; George Em Karniadakis (CoRR, 2024)

From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning. - Juan Diego Toscano; Vivek Oommen; Alan John Varghese; Zongren Zou; Nazanin Ahmadi Daryakenari; Chenxi Wu; George Em Karniadakis (CoRR, 2024)

Deep neural operators as accurate surrogates for shape optimization. - Khemraj Shukla; Vivek Oommen; Ahmad Peyvan; Michael Penwarden; Nicholas Plewacki; Luis Bravo; Anindya Ghoshal; Robert M. Kirby; George Em Karniadakis (Eng. Appl. Artif. Intell., 2024)

XAI4Extremes: An interpretable machine learning framework for understanding extreme-weather precursors under climate change. - Jiawen Wei 002; Aniruddha Bora; Vivek Oommen; Chenyu Dong; Juntao Yang; Jeff Adie; Chen Chen; Simon See; George E. Karniadakis; Gianmarco Mengaldo (CoRR, 2025)

Mitigating Spectral Bias in Neural Operators via High-Frequency Scaling for Physical Systems. - Siavash Khodakarami; Vivek Oommen; Aniruddha Bora; George Em Karniadakis (CoRR, 2025)

Equilibrium Conserving Neural Operators for Super-Resolution Learning. - Vivek Oommen; Andreas E. Robertson; Daniel Diaz; Coleman Alleman; Zhen Zhang 029; Anthony D. Rollett; George E. Karniadakis; Rémi Dingreville (CoRR, 2025)