Tackling the Curse of Dimensionality with Physics-Informed Neural
Networks

Tackling the Curse of Dimensionality with Physics-Informed Neural Networks

23 July 2023

George Karniadakis

Kenji Kawaguchi

Papers citing "Tackling the Curse of Dimensionality with Physics-Informed Neural Networks"

12 / 12 papers shown

Title
Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs Sidharth S. Menon Ameya D. Jagtap PINN 84 0 0 06 May 2025
Solving Time-Fractional Partial Integro-Differential Equations Using Tensor Neural Network Zhongshuo Lin Qingkui Ma Hehu Xie Xiaobo Yin 41 0 0 02 Apr 2025
State-space models are accurate and efficient neural operators for dynamical systems Zheyuan Hu Nazanin Ahmadi Daryakenari Qianli Shen Kenji Kawaguchi George Karniadakis Mamba AI4CE 64 10 0 28 Jan 2025
ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Hwijae Son 46 0 0 17 Jan 2025
Variational autoencoders with latent high-dimensional steady geometric flows for dynamics Andrew Gracyk DRL 63 0 0 03 Jan 2025
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Zekun Shi Zheyuan Hu Min-Bin Lin Kenji Kawaguchi 124 4 0 27 Nov 2024
Enhanced physics-informed neural networks (PINNs) for high-order power grid dynamics Vineet Jagadeesan Nair PINN 38 0 0 10 Oct 2024
Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation Madison Cooley Shandian Zhe Robert M. Kirby Varun Shankar 54 1 0 04 Jun 2024
Hutchinson Trace Estimation for High-Dimensional and High-Order Physics-Informed Neural Networks Zheyuan Hu Zekun Shi George Karniadakis Kenji Kawaguchi AI4CE PINN 36 21 0 22 Dec 2023
Bias-Variance Trade-off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs Zheyuan Hu Zhouhao Yang Yezhen Wang George Karniadakis Kenji Kawaguchi 31 9 0 26 Nov 2023
Physics-informed neural networks with hard constraints for inverse design Lu Lu R. Pestourie Wenjie Yao Zhicheng Wang F. Verdugo Steven G. Johnson PINN 39 489 0 09 Feb 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 203 2,272 0 18 Oct 2020