Enforcing hidden physics in physics-informed neural networks

arXiv — cs.LGFriday, December 12, 2025 at 5:00:00 AM
  • Researchers have introduced a robust strategy for physics-informed neural networks (PINNs) that incorporates hidden physical laws as soft constraints during training. This approach addresses the challenge of ensuring that neural networks accurately reflect the physical structures embedded in partial differential equations, particularly for irreversible processes. The method enhances the reliability of solutions across various scientific benchmarks, including wave propagation and combustion.
  • This development is significant as it improves the robustness of PINNs, which are increasingly utilized in scientific machine learning to solve complex partial differential equations. By enforcing physical laws during training, the new strategy not only enhances the accuracy of the models but also ensures that the solutions respect the inherent characteristics of physical processes, thereby advancing the field of computational physics.
  • The introduction of this strategy aligns with ongoing efforts in the AI community to enhance the performance of physics-informed models. Similar advancements, such as the development of Residual Risk-Aware PINNs and methods for enforcing boundary conditions, highlight a growing trend towards integrating physical principles into machine learning frameworks. These innovations aim to address common challenges in modeling complex systems, ensuring that AI applications remain grounded in scientific accuracy.
— via World Pulse Now AI Editorial System

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