PINNsFailureRegion Localization and Refinement through White-box AdversarialAttack

arXiv — cs.LGTuesday, November 25, 2025 at 5:00:00 AM
  • Researchers have introduced a novel sampling strategy called WbAR, which utilizes white-box adversarial attacks to enhance the localization and refinement of failure regions in physics-informed neural networks (PINNs). This approach aims to address the challenges faced by vanilla PINNs when solving complex partial differential equations (PDEs) with multi-scale behaviors and sharp characteristics.
  • The implementation of WbAR is significant as it allows for more precise identification of critical failure regions during the training of PINNs, thereby improving their effectiveness in solving various PDEs, including elliptic and Poisson equations.
  • This development reflects a growing trend in the application of physics-informed neural networks across diverse fields, including engineering and biological systems, as researchers seek to optimize predictive capabilities and enhance model performance by integrating physical laws and addressing inherent challenges in traditional numerical methods.
— via World Pulse Now AI Editorial System

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