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Data vs. Physics: The Apparent Pareto Front of Physics-Informed Neural Networks

Data vs. Physics: The Apparent Pareto Front of Physics-Informed Neural Networks

Physics-informed neural networks (PINNs) have emerged as a promising deep learning method, capable of solving forward and inverse problems governed by differential equations. Despite their recent advance, it is widely acknowledged that PINNs are difficult to train and often require a careful tuning of loss weights when data and physics …