Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons AF Psaros, X Meng, Z Zou, L Guo, GE Karniadakis Journal of Computational Physics 477, 111902, 2023 | 177 | 2023 |
Bayesian Physics Informed Neural Networks for real-world nonlinear dynamical systems K Linka, A Schäfer, X Meng, Z Zou, GE Karniadakis, E Kuhl Computer Methods in Applied Mechanics and Engineering 402, 115346, 2022 | 69 | 2022 |
NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators Z Zou, X Meng, AF Psaros, GE Karniadakis SIAM Review 66 (1), 161-190, 2024 | 28 | 2024 |
L-HYDRA: Multi-head physics-informed neural networks Z Zou, GE Karniadakis arXiv preprint arXiv:2301.02152, 2023 | 21 | 2023 |
Discovering a reaction–diffusion model for Alzheimer’s disease by combining PINNs with symbolic regression Z Zhang, Z Zou, E Kuhl, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 419, 116647, 2024 | 14 | 2024 |
Correcting model misspecification in physics-informed neural networks (PINNs) Z Zou, X Meng, GE Karniadakis Journal of Computational Physics 505, 112918, 2024 | 9 | 2024 |
A generative modeling framework for inferring families of biomechanical constitutive laws in data-sparse regimes M Yin*, Z Zou*, E Zhang, C Cavinato, JD Humphrey, GE Karniadakis Journal of the Mechanics and Physics of Solids 181, 105424, 2023 | 8 | 2023 |
Leveraging Multitime Hamilton–Jacobi PDEs for Certain Scientific Machine Learning Problems P Chen*, T Meng*, Z Zou*, J Darbon, GE Karniadakis SIAM Journal on Scientific Computing 46 (2), C216-C248, 2024 | 7 | 2024 |
Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators Z Zou, X Meng, GE Karniadakis arXiv preprint arXiv:2311.11262, 2023 | 4 | 2023 |
Leveraging Hamilton-Jacobi PDEs with time-dependent Hamiltonians for continual scientific machine learning P Chen*, T Meng*, Z Zou*, J Darbon, GE Karniadakis arXiv preprint arXiv:2311.07790, 2023 | 2 | 2023 |
Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification in scientific machine learning Z Zou, T Meng, P Chen, J Darbon, GE Karniadakis arXiv preprint arXiv:2404.08809, 2024 | | 2024 |