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Regression on PDE with multiple solution illustrative example 2 (train)

0.0007MSE (Data)DAE-HardNet
-0.0009450.010490.0219250.033359Dec 5, 2025

Evaluation results

MethodLinks
DAE-HardNetBest Epoch=4820, num_epochs=5000, model_depth=4, hidden_dim=32, lr=0.001, num_points=2500 out of 2500, pinn_reg_factor=1, hardnet_reg_factor=1, taylor_offset=0.01, taylor_order=2, eta=0.05, newton_step_length=1, max_newton_iter=10, noise_std=1, noise_mean=0, noise_scale=0.012025.120.00070.00090
MLPBest Epoch=4990, num_epochs=5000, model_depth=4, hidden_dim=32, lr=0.001, num_points=2500 out of 2500, pinn_reg_factor=1, hardnet_reg_factor=1, taylor_offset=0.01, taylor_order=2, eta=0.05, newton_step_length=1, max_newton_iter=10, noise_std=1, noise_mean=0, noise_scale=0.012025.120.001—19
PINNBest Epoch=4390, num_epochs=5000, model_depth=4, hidden_dim=32, lr=0.001, num_points=2500 out of 2500, pinn_reg_factor=1, hardnet_reg_factor=1, taylor_offset=0.01, taylor_order=2, eta=0.05, newton_step_length=1, max_newton_iter=10, noise_std=1, noise_mean=0, noise_scale=0.012025.120.0431—0.344