Multi-Preconditioned LBFGS for Training Finite-Basis PINNs
NeutralArtificial Intelligence
- A multi-preconditioned LBFGS (MP-LBFGS) algorithm has been introduced for training finite-basis physics-informed neural networks (FBPINNs), enhancing convergence speed and model accuracy while reducing communication overhead. This algorithm leverages a nonlinear additive Schwarz method and employs a domain-decomposition-inspired architecture, allowing for localized network representation.
- The development of MP-LBFGS is significant as it addresses the challenges of training FBPINNs, which are crucial for solving complex physics-based problems efficiently. By improving the training process, this algorithm can lead to more accurate simulations and predictions in various scientific and engineering applications.
- This advancement reflects a broader trend in artificial intelligence and machine learning, where optimizing algorithms for specific architectures is becoming increasingly important. The integration of techniques like reinforcement learning and operator-theoretic frameworks in related studies highlights the ongoing exploration of innovative methods to enhance model performance across diverse applications.
— via World Pulse Now AI Editorial System
