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vpuri3 · Apr 22, 2024 · 90a768f · 90a768f
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diff --git a/examples/advect_fourier1D/advect1d_compare.jl b/examples/advect_fourier1D/advect1d_compare.jl
@@ -46,9 +46,14 @@ modeldir_INR = joinpath(@__DIR__, "model_INR$(l0)") # C-ROM
 # train_params_SNL = (; E = 1400, wd = 64, α = 1f-4, γ = 0f-0, makedata_kws,)
 # train_SNF_compare(latent, datafile, modeldir_SNL, train_params_SNL; rng, device)
 #
+
+### CROM
 # # train conv INR
 # train_params_INR = (; E = 1400, we = 32, wd = 64, makedata_kws,)
 # train_CINR_compare(prob, latent, datafile, modeldir_INR, train_params_INR; rng, device,)
+# evolve_kw = (; autodiff_xyz = AutoFiniteDiff(), ϵ_xyz = 0.05f0,)
+# postprocess_CINR(prob, datafile, modelfile_INR; rng, device, evolve_kw,)
+
 
 #==================#
 # postprocess
@@ -65,16 +70,31 @@ modelfile_INR = joinpath(modeldir_INR, "model_07.jld2")
 # postprocess_SNF(prob, datafile, modelfile_SNW; rng, device)
 # postprocess_SNF(prob, datafile, modelfile_SNL; rng, device)
 
-# evolve_kw = (; autodiff_xyz = AutoFiniteDiff(), ϵ_xyz = 0.05f0,)
-# postprocess_CINR(prob, datafile, modelfile_INR; rng, device, evolve_kw,)
-
 #==================#
-# make figures
+# small DT
 #==================#
-grid = (128,)
-casename = "advect1d"
-modeldirs = (; modeldir_PCA, modeldir_CAE, modeldir_SNL, modeldir_SNW, modeldir_INR)
-label = ("POD ($(l_pca) modes)", "CAE", "SNFL (ours)", "SNFW (ours)", "CROM")
 
-p1, p2, p3 = compare_plots(modeldirs, label, @__DIR__, casename, 1, grid)
+T  = 4.0f0
+Nt = 500
+It = LinRange(1, Nt, 50) .|> Base.Fix1(round, Int)
+data_kws = (; Ix = :, It)
+evolve_kw = (; Δt = T, data_kws, adaptive = true)
+
+outdir_SNW = joinpath(modeldir_SNW, "dt")
+outdir_SNL = joinpath(modeldir_SNL, "dt")
+outdir_CAE = joinpath(modeldir_CAE, "dt")
+
+evolve_SNF(prob, datafile, modelfile_SNW, 1; rng, outdir = outdir_SNW, evolve_kw..., device)
+# evolve_SNF(prob, datafile, modelfile_SNL, 1; rng, outdir = outdir_SNL, evolve_kw..., device)
+# evolve_CAE(prob, datafile, modelfile_CAE, 1; rng, outdir = outdir_CAE, evolve_kw...,)
+
+# #==================#
+# # make figures
+# #==================#
+# grid = (128,)
+# casename = "advect1d"
+# modeldirs = (; modeldir_PCA, modeldir_CAE, modeldir_SNL, modeldir_SNW)
+# label = ("POD ($(l_pca) modes)", "CAE", "SNFL (ours)", "SNFW (ours)")
+#
+# p1, p2, p3 = compare_plots(modeldirs, label, @__DIR__, casename, 1, grid; ifdt = true)
 #======================================================#
diff --git a/examples/advect_fourier1D/compare_er_case1.png b/examples/advect_fourier1D/compare_er_case1.png
diff --git a/examples/advect_fourier1D/compare_t0_case1.png b/examples/advect_fourier1D/compare_t0_case1.png
diff --git a/examples/advect_fourier1D/compare_t1_case1.png b/examples/advect_fourier1D/compare_t1_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/dt/evolve_e1_case1.png b/examples/advect_fourier1D/model_CAE02/dt/evolve_e1_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/dt/evolve_p_case1.png b/examples/advect_fourier1D/model_CAE02/dt/evolve_p_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/dt/evolve_p_scatter_case1.png b/examples/advect_fourier1D/model_CAE02/dt/evolve_p_scatter_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/dt/evolve_u1_case1.png b/examples/advect_fourier1D/model_CAE02/dt/evolve_u1_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/plt_training_01.png b/examples/advect_fourier1D/model_CAE02/plt_training_01.png
diff --git a/examples/advect_fourier1D/model_CAE02/plt_training_02.png b/examples/advect_fourier1D/model_CAE02/plt_training_02.png
diff --git a/examples/advect_fourier1D/model_CAE02/plt_training_03.png b/examples/advect_fourier1D/model_CAE02/plt_training_03.png
diff --git a/examples/advect_fourier1D/model_CAE02/plt_training_04.png b/examples/advect_fourier1D/model_CAE02/plt_training_04.png
diff --git a/examples/advect_fourier1D/model_CAE02/plt_training_05.png b/examples/advect_fourier1D/model_CAE02/plt_training_05.png
diff --git a/examples/advect_fourier1D/model_CAE02/plt_training_06.png b/examples/advect_fourier1D/model_CAE02/plt_training_06.png
diff --git a/examples/advect_fourier1D/model_CAE02/plt_training_07.png b/examples/advect_fourier1D/model_CAE02/plt_training_07.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/compare_e1_case1.png b/examples/advect_fourier1D/model_CAE02/results/compare_e1_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/compare_p_case1.png b/examples/advect_fourier1D/model_CAE02/results/compare_p_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/compare_p_scatter_case1.png b/examples/advect_fourier1D/model_CAE02/results/compare_p_scatter_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/compare_u1_case1.png b/examples/advect_fourier1D/model_CAE02/results/compare_u1_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/evolve_e1_case1.png b/examples/advect_fourier1D/model_CAE02/results/evolve_e1_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/evolve_p_case1.png b/examples/advect_fourier1D/model_CAE02/results/evolve_p_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/evolve_p_scatter_case1.png b/examples/advect_fourier1D/model_CAE02/results/evolve_p_scatter_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/evolve_u1_case1.png b/examples/advect_fourier1D/model_CAE02/results/evolve_u1_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/train_e1_case1.png b/examples/advect_fourier1D/model_CAE02/results/train_e1_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/train_p_case1.png b/examples/advect_fourier1D/model_CAE02/results/train_p_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/train_p_scatter.png b/examples/advect_fourier1D/model_CAE02/results/train_p_scatter.png
diff --git a/examples/advect_fourier1D/model_CAE02/results/train_u1_case1.png b/examples/advect_fourier1D/model_CAE02/results/train_u1_case1.png
diff --git a/examples/advect_fourier1D/model_CAE02/statistics_01.txt b/examples/advect_fourier1D/model_CAE02/statistics_01.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 3.0286938e-5 || TEST LOSS: 3.0286938e-5
+Epoch [0 / 0]	TRAIN LOSS: 2.5034447e-5 || TEST LOSS: 2.5034447e-5
 #======================#
 TRAIN STATS
-R² score:             0.99996966
-MSE (mean SQR error): 3.0286938e-5
-RMSE (Root MSE):      0.005503357
-MAE (mean ABS error): 0.003891842
-maxAE (max ABS error) 0.06753397
-Lipschitz bound:      6.301603
+R² score:             0.9999749
+MSE (mean SQR error): 2.5034447e-5
+RMSE (Root MSE):      0.0050034435
+MAE (mean ABS error): 0.0034444411
+maxAE (max ABS error) 0.08196211
+Lipschitz bound:      6.22005
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99996966
-MSE (mean SQR error): 3.028694e-5
-RMSE (Root MSE):      0.005503357
-MAE (mean ABS error): 0.0038918424
-maxAE (max ABS error) 0.06753397
-Lipschitz bound:      6.301603
+R² score:             0.9999749
+MSE (mean SQR error): 2.5034446e-5
+RMSE (Root MSE):      0.0050034435
+MAE (mean ABS error): 0.0034444411
+maxAE (max ABS error) 0.08196211
+Lipschitz bound:      6.22005
 
 #======================#
diff --git a/examples/advect_fourier1D/model_CAE02/statistics_02.txt b/examples/advect_fourier1D/model_CAE02/statistics_02.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 1.3954662e-5 || TEST LOSS: 1.3954662e-5
+Epoch [0 / 0]	TRAIN LOSS: 6.994859e-6 || TEST LOSS: 6.994859e-6
 #======================#
 TRAIN STATS
-R² score:             0.99998605
-MSE (mean SQR error): 1.3954662e-5
-RMSE (Root MSE):      0.003735594
-MAE (mean ABS error): 0.0027591616
-maxAE (max ABS error) 0.04772544
-Lipschitz bound:      6.298521
+R² score:             0.999993
+MSE (mean SQR error): 6.99486e-6
+RMSE (Root MSE):      0.0026447799
+MAE (mean ABS error): 0.0018560736
+maxAE (max ABS error) 0.030185223
+Lipschitz bound:      6.201823
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99998605
-MSE (mean SQR error): 1.3954662e-5
-RMSE (Root MSE):      0.003735594
-MAE (mean ABS error): 0.0027591616
-maxAE (max ABS error) 0.04772544
-Lipschitz bound:      6.298521
+R² score:             0.999993
+MSE (mean SQR error): 6.994859e-6
+RMSE (Root MSE):      0.0026447796
+MAE (mean ABS error): 0.0018560734
+maxAE (max ABS error) 0.030185223
+Lipschitz bound:      6.201823
 
 #======================#
diff --git a/examples/advect_fourier1D/model_CAE02/statistics_03.txt b/examples/advect_fourier1D/model_CAE02/statistics_03.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 3.7264488e-6 || TEST LOSS: 3.7264488e-6
+Epoch [0 / 0]	TRAIN LOSS: 3.6226565e-6 || TEST LOSS: 3.6226565e-6
 #======================#
 TRAIN STATS
-R² score:             0.99999624
-MSE (mean SQR error): 3.7264492e-6
-RMSE (Root MSE):      0.0019304014
-MAE (mean ABS error): 0.0013857696
-maxAE (max ABS error) 0.022152066
-Lipschitz bound:      6.2807975
+R² score:             0.9999964
+MSE (mean SQR error): 3.6226568e-6
+RMSE (Root MSE):      0.0019033278
+MAE (mean ABS error): 0.0013396199
+maxAE (max ABS error) 0.024267793
+Lipschitz bound:      6.1993003
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99999624
-MSE (mean SQR error): 3.7264488e-6
-RMSE (Root MSE):      0.0019304012
-MAE (mean ABS error): 0.0013857696
-maxAE (max ABS error) 0.022152066
-Lipschitz bound:      6.2807975
+R² score:             0.9999964
+MSE (mean SQR error): 3.6226565e-6
+RMSE (Root MSE):      0.0019033278
+MAE (mean ABS error): 0.0013396199
+maxAE (max ABS error) 0.024267793
+Lipschitz bound:      6.1993003
 
 #======================#
diff --git a/examples/advect_fourier1D/model_CAE02/statistics_04.txt b/examples/advect_fourier1D/model_CAE02/statistics_04.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 2.2367863e-6 || TEST LOSS: 2.2367863e-6
+Epoch [0 / 0]	TRAIN LOSS: 2.6527023e-6 || TEST LOSS: 2.6527023e-6
 #======================#
 TRAIN STATS
-R² score:             0.99999774
-MSE (mean SQR error): 2.236786e-6
-RMSE (Root MSE):      0.0014955888
-MAE (mean ABS error): 0.0010901858
-maxAE (max ABS error) 0.014030457
-Lipschitz bound:      6.2790465
+R² score:             0.99999726
+MSE (mean SQR error): 2.6527023e-6
+RMSE (Root MSE):      0.0016287118
+MAE (mean ABS error): 0.0011821537
+maxAE (max ABS error) 0.018796325
+Lipschitz bound:      6.196633
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99999774
-MSE (mean SQR error): 2.2367863e-6
-RMSE (Root MSE):      0.0014955889
-MAE (mean ABS error): 0.001090186
-maxAE (max ABS error) 0.014030457
-Lipschitz bound:      6.2790465
+R² score:             0.99999726
+MSE (mean SQR error): 2.6527023e-6
+RMSE (Root MSE):      0.0016287118
+MAE (mean ABS error): 0.0011821537
+maxAE (max ABS error) 0.018796325
+Lipschitz bound:      6.196633
 
 #======================#
diff --git a/examples/advect_fourier1D/model_CAE02/statistics_05.txt b/examples/advect_fourier1D/model_CAE02/statistics_05.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 1.9318497e-6 || TEST LOSS: 1.9318497e-6
+Epoch [0 / 0]	TRAIN LOSS: 2.331015e-6 || TEST LOSS: 2.331015e-6
 #======================#
 TRAIN STATS
-R² score:             0.9999981
-MSE (mean SQR error): 1.9318502e-6
-RMSE (Root MSE):      0.0013899101
-MAE (mean ABS error): 0.0010237661
-maxAE (max ABS error) 0.015441775
-Lipschitz bound:      6.2790074
+R² score:             0.9999977
+MSE (mean SQR error): 2.331015e-6
+RMSE (Root MSE):      0.0015267661
+MAE (mean ABS error): 0.0010998637
+maxAE (max ABS error) 0.017934322
+Lipschitz bound:      6.196598
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.9999981
-MSE (mean SQR error): 1.93185e-6
-RMSE (Root MSE):      0.00138991
-MAE (mean ABS error): 0.0010237661
-maxAE (max ABS error) 0.015441775
-Lipschitz bound:      6.2790074
+R² score:             0.9999977
+MSE (mean SQR error): 2.331015e-6
+RMSE (Root MSE):      0.0015267661
+MAE (mean ABS error): 0.0010998637
+maxAE (max ABS error) 0.017934322
+Lipschitz bound:      6.196598
 
 #======================#
diff --git a/examples/advect_fourier1D/model_CAE02/statistics_06.txt b/examples/advect_fourier1D/model_CAE02/statistics_06.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 1.7665164e-6 || TEST LOSS: 1.7665164e-6
+Epoch [0 / 0]	TRAIN LOSS: 1.5599732e-6 || TEST LOSS: 1.5599732e-6
 #======================#
 TRAIN STATS
-R² score:             0.9999982
-MSE (mean SQR error): 1.7665164e-6
-RMSE (Root MSE):      0.0013291036
-MAE (mean ABS error): 0.0009792792
-maxAE (max ABS error) 0.013536572
-Lipschitz bound:      6.279079
+R² score:             0.99999845
+MSE (mean SQR error): 1.559973e-6
+RMSE (Root MSE):      0.0012489888
+MAE (mean ABS error): 0.00090077386
+maxAE (max ABS error) 0.013512611
+Lipschitz bound:      6.1886697
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.9999982
-MSE (mean SQR error): 1.7665167e-6
-RMSE (Root MSE):      0.0013291037
-MAE (mean ABS error): 0.0009792793
-maxAE (max ABS error) 0.013536572
-Lipschitz bound:      6.279079
+R² score:             0.99999845
+MSE (mean SQR error): 1.559973e-6
+RMSE (Root MSE):      0.0012489888
+MAE (mean ABS error): 0.00090077386
+maxAE (max ABS error) 0.013512611
+Lipschitz bound:      6.1886697
 
 #======================#
diff --git a/examples/advect_fourier1D/model_CAE02/statistics_07.txt b/examples/advect_fourier1D/model_CAE02/statistics_07.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 1.4411878e-6 || TEST LOSS: 1.4411878e-6
+Epoch [0 / 0]	TRAIN LOSS: 1.1553876e-6 || TEST LOSS: 1.1553876e-6
 #======================#
 TRAIN STATS
-R² score:             0.99999857
-MSE (mean SQR error): 1.4411878e-6
-RMSE (Root MSE):      0.0012004948
-MAE (mean ABS error): 0.00087958644
-maxAE (max ABS error) 0.010552287
-Lipschitz bound:      6.277384
+R² score:             0.99999887
+MSE (mean SQR error): 1.1553874e-6
+RMSE (Root MSE):      0.0010748894
+MAE (mean ABS error): 0.0007830635
+maxAE (max ABS error) 0.009465933
+Lipschitz bound:      6.183975
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99999857
-MSE (mean SQR error): 1.4411878e-6
-RMSE (Root MSE):      0.0012004948
-MAE (mean ABS error): 0.00087958644
-maxAE (max ABS error) 0.010552287
-Lipschitz bound:      6.277384
+R² score:             0.99999887
+MSE (mean SQR error): 1.1553874e-6
+RMSE (Root MSE):      0.0010748894
+MAE (mean ABS error): 0.0007830635
+maxAE (max ABS error) 0.009465933
+Lipschitz bound:      6.183975
 
 #======================#
diff --git a/examples/advect_fourier1D/model_PCA08/results/evole_p_scatter_case1.png b/examples/advect_fourier1D/model_PCA08/results/evole_p_scatter_case1.png
diff --git a/examples/advect_fourier1D/model_PCA08/results/evolve_e1_case1.png b/examples/advect_fourier1D/model_PCA08/results/evolve_e1_case1.png
diff --git a/examples/advect_fourier1D/model_PCA08/test_1.png b/examples/advect_fourier1D/model_PCA08/test_1.png
diff --git a/examples/advect_fourier1D/model_PCA08/train_1.png b/examples/advect_fourier1D/model_PCA08/train_1.png
diff --git a/examples/advect_fourier1D/model_SNL02/dt/evolve_e1_case1.png b/examples/advect_fourier1D/model_SNL02/dt/evolve_e1_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/dt/evolve_p_case1.png b/examples/advect_fourier1D/model_SNL02/dt/evolve_p_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/dt/evolve_p_scatter_case1.png b/examples/advect_fourier1D/model_SNL02/dt/evolve_p_scatter_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/dt/evolve_u1_case1.png b/examples/advect_fourier1D/model_SNL02/dt/evolve_u1_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/plt_training_01.png b/examples/advect_fourier1D/model_SNL02/plt_training_01.png
diff --git a/examples/advect_fourier1D/model_SNL02/plt_training_02.png b/examples/advect_fourier1D/model_SNL02/plt_training_02.png
diff --git a/examples/advect_fourier1D/model_SNL02/plt_training_03.png b/examples/advect_fourier1D/model_SNL02/plt_training_03.png
diff --git a/examples/advect_fourier1D/model_SNL02/plt_training_04.png b/examples/advect_fourier1D/model_SNL02/plt_training_04.png
diff --git a/examples/advect_fourier1D/model_SNL02/plt_training_05.png b/examples/advect_fourier1D/model_SNL02/plt_training_05.png
diff --git a/examples/advect_fourier1D/model_SNL02/plt_training_06.png b/examples/advect_fourier1D/model_SNL02/plt_training_06.png
diff --git a/examples/advect_fourier1D/model_SNL02/plt_training_07.png b/examples/advect_fourier1D/model_SNL02/plt_training_07.png
diff --git a/examples/advect_fourier1D/model_SNL02/plt_training_08.png b/examples/advect_fourier1D/model_SNL02/plt_training_08.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/compare_e1_case1.png b/examples/advect_fourier1D/model_SNL02/results/compare_e1_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/compare_p_case1.png b/examples/advect_fourier1D/model_SNL02/results/compare_p_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/compare_p_scatter_case1.png b/examples/advect_fourier1D/model_SNL02/results/compare_p_scatter_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/compare_u1_case1.png b/examples/advect_fourier1D/model_SNL02/results/compare_u1_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/evolve_e1_case1.png b/examples/advect_fourier1D/model_SNL02/results/evolve_e1_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/evolve_p_case1.png b/examples/advect_fourier1D/model_SNL02/results/evolve_p_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/evolve_p_scatter_case1.png b/examples/advect_fourier1D/model_SNL02/results/evolve_p_scatter_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/evolve_u1_case1.png b/examples/advect_fourier1D/model_SNL02/results/evolve_u1_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/train_e1_case1.png b/examples/advect_fourier1D/model_SNL02/results/train_e1_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/train_p_case1.png b/examples/advect_fourier1D/model_SNL02/results/train_p_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/train_p_scatter.png b/examples/advect_fourier1D/model_SNL02/results/train_p_scatter.png
diff --git a/examples/advect_fourier1D/model_SNL02/results/train_u1_case1.png b/examples/advect_fourier1D/model_SNL02/results/train_u1_case1.png
diff --git a/examples/advect_fourier1D/model_SNL02/statistics_01.txt b/examples/advect_fourier1D/model_SNL02/statistics_01.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 0.0009772343 || TEST LOSS: 0.0009772343
+Epoch [0 / 0]	TRAIN LOSS: 0.0007200601 || TEST LOSS: 0.0007200601
 #======================#
 TRAIN STATS
-R² score:             0.9991466
-MSE (mean SQR error): 0.00083424407
-RMSE (Root MSE):      0.028883284
-MAE (mean ABS error): 0.014805639
-maxAE (max ABS error) 0.16087812
-Lipschitz bound:      40810.707
+R² score:             0.9994409
+MSE (mean SQR error): 0.0005576967
+RMSE (Root MSE):      0.023615602
+MAE (mean ABS error): 0.012563733
+maxAE (max ABS error) 0.17540269
+Lipschitz bound:      53477.0
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.9991466
-MSE (mean SQR error): 0.000834244
-RMSE (Root MSE):      0.028883282
-MAE (mean ABS error): 0.01480564
-maxAE (max ABS error) 0.16087812
-Lipschitz bound:      40810.707
+R² score:             0.9994409
+MSE (mean SQR error): 0.0005576967
+RMSE (Root MSE):      0.023615602
+MAE (mean ABS error): 0.012563732
+maxAE (max ABS error) 0.17540269
+Lipschitz bound:      53477.0
 
 #======================#
diff --git a/examples/advect_fourier1D/model_SNL02/statistics_02.txt b/examples/advect_fourier1D/model_SNL02/statistics_02.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 8.4616084e-5 || TEST LOSS: 8.4616084e-5
+Epoch [0 / 0]	TRAIN LOSS: 8.14772e-5 || TEST LOSS: 8.14772e-5
 #======================#
 TRAIN STATS
-R² score:             0.99997973
-MSE (mean SQR error): 2.0244268e-5
-RMSE (Root MSE):      0.0044993632
-MAE (mean ABS error): 0.0028748154
-maxAE (max ABS error) 0.05264136
-Lipschitz bound:      807.3472
+R² score:             0.9999823
+MSE (mean SQR error): 1.7681878e-5
+RMSE (Root MSE):      0.0042049824
+MAE (mean ABS error): 0.0026894633
+maxAE (max ABS error) 0.04067433
+Lipschitz bound:      819.42206
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99997973
-MSE (mean SQR error): 2.024427e-5
-RMSE (Root MSE):      0.0044993632
-MAE (mean ABS error): 0.0028748154
-maxAE (max ABS error) 0.05264136
-Lipschitz bound:      807.3472
+R² score:             0.9999823
+MSE (mean SQR error): 1.7681878e-5
+RMSE (Root MSE):      0.0042049824
+MAE (mean ABS error): 0.0026894636
+maxAE (max ABS error) 0.04067433
+Lipschitz bound:      819.42206
 
 #======================#