4 papers
Lightweight Geometric Adaptation for Training Physics-Informed Neural Networks
Kang An, Chenhao Si, Shiqian Ma +1
Physics-Informed Neural Networks (PINNs) often suffer from slow convergence, training instability, and reduced accuracy on challenging partial differential equations due to the ani…
AutoBalance: An Automatic Balancing Framework for Training Physics-Informed Neural Networks
Kang An, Chenhao Si, Ming Yan +1
Physics-Informed Neural Networks (PINNs) provide a powerful and general framework for solving Partial Differential Equations (PDEs) by embedding physical laws into loss functions.…
Convolution-weighting method for the physics-informed neural network: A Primal-Dual Optimization Perspective
Chenhao Si, Ming Yan
Physics-informed neural networks (PINNs) are extensively employed to solve partial differential equations (PDEs) by ensuring that the outputs and gradients of deep learning models…
Complex Physics-Informed Neural Network
Chenhao Si, Ming Yan, Xin Li +1
We propose compleX-PINN, a novel physics-informed neural network (PINN) architecture incorporating a learnable activation function inspired by the Cauchy integral theorem. By optim…