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Data-Guided Physics-Informed Neural Networks for Solving Inverse Problems in Partial Differential Equations

Data-Guided Physics-Informed Neural Networks for Solving Inverse Problems in Partial Differential Equations

Physics-informed neural networks (PINNs) represent a significant advancement in scientific machine learning by integrating fundamental physical laws into their architecture through loss functions. PINNs have been successfully applied to solve various forward and inverse problems in partial differential equations (PDEs). However, a notable challenge can emerge during the early training …