Training Deep Physics-Informed Kolmogorov-Arnold Networks

arXiv — cs.LGMonday, December 22, 2025 at 5:00:00 AM
  • Recent advancements in training methods for Kolmogorov-Arnold Networks (KANs) have been introduced, focusing on the development of a basis-agnostic initialization scheme and Residual-Gated Adaptive KANs (RGA KANs) to improve stability and accuracy in deep physics-informed machine learning applications.
  • These innovations are significant as they address the challenges of training deep cPIKANs, which have faced instability issues when scaled, thereby enhancing their applicability to complex partial differential equations (PDEs).
  • The evolution of KANs reflects a broader trend in artificial intelligence where the integration of advanced architectures and techniques, such as sparse variational inference and symbolic representations, is increasingly being explored to improve model interpretability and performance across various scientific and practical applications.
— via World Pulse Now AI Editorial System

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