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

0.0002MSE (Data)DAE-HardNet
-0.000710.0055490.0118090.018068Dec 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=0.012025.120.00020.01880
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=0.012025.120.0027—0.295
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=0.012025.120.0234—11.3