Jun, 2024
Kolmogorov Arnold 信息神经网络:基于 Kolmogorov Arnold 网络解决偏微分方程的物理信息深度学习框架
Kolmogorov Arnold Informed neural network: A physics-informed deep learning framework for solving PDEs based on Kolmogorov Arnold Networks
Yizheng Wang, Jia Sun, Jinshuai Bai, Cosmin Anitescu, Mohammad Sadegh Eshaghi...
TL;DRAI for partial differential equations has seen advancements through Physics-informed neural networks, specifically the Kolmogorov-Arnold Network, which offers interpretability and requires fewer parameters. The paper proposes a new approach, Kolmogorov-Arnold-Informed Neural Network (KINN), based on KAN, to solve PDEs in computational solid mechanics, providing more accurate and faster solutions except for complex geometry problems.