updated figures

vpuri3 · Jul 3, 2024 · 55ee6f8 · 55ee6f8
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diff --git a/experiments_SNFROM/advect_fourier1D/advect1d_compare.jl b/experiments_SNFROM/advect_fourier1D/advect1d_compare.jl
@@ -74,18 +74,18 @@ modelfile_INR = joinpath(modeldir_INR, "model_07.jld2")
 # small DT
 #==================#
 
-evolve_kw = (;)
-
+# evolve_kw = (;)
+#
 # 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")
-
+#
+# outdir_SNW = joinpath(modeldir_SNW, "dt")
+# outdir_SNL = joinpath(modeldir_SNL, "dt")
+# outdir_CAE = joinpath(modeldir_CAE, "dt")
+#
 # evolve_CAE(prob, datafile, modelfile_CAE, 1; rng, outdir = outdir_CAE, evolve_kw...,)
 # evolve_SNF(prob, datafile, modelfile_SNL, 1; rng, outdir = outdir_SNL, evolve_kw..., device)
 # evolve_SNF(prob, datafile, modelfile_SNW, 1; rng, outdir = outdir_SNW, evolve_kw..., device)

diff --git a/experiments_SNFROM/advect_fourier2D/advect2d_compare.jl b/experiments_SNFROM/advect_fourier2D/advect2d_compare.jl
@@ -14,7 +14,7 @@ device = Lux.gpu_device()
 
 _Ib, Ib_ = [1,], [1,]
 Ix  = Colon()
-_It = Colon() # LinRange(1, 1000, 100) .|> Base.Fix1(round, Int32)
+_It = Colon()
 makedata_kws = (; Ix, _Ib, Ib_, _It, It_ = :)
 case = Ib_[1]
 
@@ -71,19 +71,21 @@ modelfile_SNL = joinpath(modeldir_SNL, "model_08.jld2")
 # small DT
 #==================#
 
+evolve_kw = (;)
+
 T  = 4.0f0
 Nt = 500
-It = LinRange(1, Nt, 50) .|> Base.Fix1(round, Int)
+It = LinRange(1, Nt, 100) .|> Base.Fix1(round, Int)
 data_kws = (; Ix = :, It)
 evolve_kw = (; Δt = T, data_kws, adaptive = false)
 
 outdir_CAE = joinpath(modeldir_CAE, "dt")
 outdir_SNL = joinpath(modeldir_SNL, "dt")
 outdir_SNW = joinpath(modeldir_SNW, "dt")
 
-# evolve_CAE(prob, datafile, modelfile_CAE, 1; rng, outdir = outdir_CAE, evolve_kw...,)
-# evolve_SNF(prob, datafile, modelfile_SNL, 1; rng, outdir = outdir_SNL, evolve_kw..., device)
-# evolve_SNF(prob, datafile, modelfile_SNW, 1; rng, outdir = outdir_SNW, evolve_kw..., device)
+evolve_CAE(prob, datafile, modelfile_CAE, 1; rng, outdir = outdir_CAE, evolve_kw...,)
+evolve_SNF(prob, datafile, modelfile_SNL, 1; rng, outdir = outdir_SNL, evolve_kw..., device)
+evolve_SNF(prob, datafile, modelfile_SNW, 1; rng, outdir = outdir_SNW, evolve_kw..., device)
 
 #==================#
 # make figures
@@ -94,6 +96,4 @@ modeldirs = (; modeldir_PCA, modeldir_CAE, modeldir_SNL, modeldir_SNW,)
 labels = ("POD ($(l_pca) modes)", "CAE", "SNFL (ours)", "SNFW (ours)")
 
 p1, p2, p3 = compare_plots(modeldirs, labels, @__DIR__, casename, 1, grid; ifdt = true)
-
 #======================================================#
-nothing
diff --git a/experiments_SNFROM/advect_fourier2D/compare_er_case1.png b/experiments_SNFROM/advect_fourier2D/compare_er_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/compare_t0_case1.png b/experiments_SNFROM/advect_fourier2D/compare_t0_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/compare_t1_case1.png b/experiments_SNFROM/advect_fourier2D/compare_t1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_e1_case1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_e1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_p_case1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_p_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_p_scatter_case1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_p_scatter_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_1_error.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_1_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_2.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_2.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_2_error.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_2_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_3.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_3.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_3_error.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_3_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_4.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_4.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_4_error.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_4_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_5.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_5.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_5_error.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/dt/evolve_u1_1_time_5_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_01.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_01.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_02.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_02.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_03.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_03.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_04.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_04.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_05.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_05.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_06.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_06.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_07.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/plt_training_07.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_e1_case1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_e1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_p_case1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_p_case1.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_CAE02/results/compare_p_scatter_case1.png b/...riments_SNFROM/advect_fourier2D/model_CAE02/results/compare_p_scatter_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_1.png
diff --git a/...ments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_1_error.png b/...ments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_1_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_2.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_2.png
diff --git a/...ments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_2_error.png b/...ments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_2_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_3.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_3.png
diff --git a/...ments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_3_error.png b/...ments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_3_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_4.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_4.png
diff --git a/...ments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_4_error.png b/...ments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_4_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_5.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_5.png
diff --git a/...ments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_5_error.png b/...ments_SNFROM/advect_fourier2D/model_CAE02/results/compare_u1_1_time_5_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_e1_case1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_e1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_p_case1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_p_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_p_scatter_case1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_p_scatter_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_1.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_1_error.png b/...iments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_1_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_2.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_2.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_2_error.png b/...iments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_2_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_3.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_3.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_3_error.png b/...iments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_3_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_4.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_4.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_4_error.png b/...iments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_4_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_5.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_5.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_5_error.png b/...iments_SNFROM/advect_fourier2D/model_CAE02/results/evolve_u1_1_time_5_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_e1_case1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_e1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_p_case1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_p_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_p_scatter.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_p_scatter.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_1.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_1.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_1_error.png b/...riments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_1_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_2.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_2.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_2_error.png b/...riments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_2_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_3.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_3.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_3_error.png b/...riments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_3_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_4.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_4.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_4_error.png b/...riments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_4_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_5.png b/experiments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_5.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_5_error.png b/...riments_SNFROM/advect_fourier2D/model_CAE02/results/train_u1_1_time_5_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_01.txt b/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_01.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 0.0029734694 || TEST LOSS: 0.0029734694
+Epoch [0 / 0]	TRAIN LOSS: 0.0020595256 || TEST LOSS: 0.0020595256
 #======================#
 TRAIN STATS
-R² score:             0.99703854
-MSE (mean SQR error): 0.0029734697
-RMSE (Root MSE):      0.05452953
-MAE (mean ABS error): 0.016322719
-maxAE (max ABS error) 1.4621406
-Lipschitz bound:      10.904998
+R² score:             0.99796486
+MSE (mean SQR error): 0.0020595256
+RMSE (Root MSE):      0.045381997
+MAE (mean ABS error): 0.025189243
+maxAE (max ABS error) 1.0718122
+Lipschitz bound:      8.045933
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99703854
-MSE (mean SQR error): 0.0029734697
-RMSE (Root MSE):      0.05452953
-MAE (mean ABS error): 0.016322719
-maxAE (max ABS error) 1.4621406
-Lipschitz bound:      10.904998
+R² score:             0.99796486
+MSE (mean SQR error): 0.0020595256
+RMSE (Root MSE):      0.045381997
+MAE (mean ABS error): 0.025189243
+maxAE (max ABS error) 1.0718131
+Lipschitz bound:      8.045933
 
 #======================#
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_02.txt b/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_02.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 0.00029988593 || TEST LOSS: 0.00029988593
+Epoch [0 / 0]	TRAIN LOSS: 0.00020403549 || TEST LOSS: 0.00020403549
 #======================#
 TRAIN STATS
-R² score:             0.9997002
-MSE (mean SQR error): 0.00029988593
-RMSE (Root MSE):      0.017317213
-MAE (mean ABS error): 0.008229137
-maxAE (max ABS error) 0.5808008
-Lipschitz bound:      10.91308
+R² score:             0.99979573
+MSE (mean SQR error): 0.00020403549
+RMSE (Root MSE):      0.014284099
+MAE (mean ABS error): 0.00924143
+maxAE (max ABS error) 0.45991397
+Lipschitz bound:      8.121122
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.9997002
-MSE (mean SQR error): 0.00029988593
-RMSE (Root MSE):      0.017317213
-MAE (mean ABS error): 0.008229137
-maxAE (max ABS error) 0.580801
-Lipschitz bound:      10.91308
+R² score:             0.99979573
+MSE (mean SQR error): 0.0002040355
+RMSE (Root MSE):      0.014284099
+MAE (mean ABS error): 0.00924143
+maxAE (max ABS error) 0.45991397
+Lipschitz bound:      8.121122
 
 #======================#
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_03.txt b/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_03.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 0.00011359906 || TEST LOSS: 0.00011359906
+Epoch [0 / 0]	TRAIN LOSS: 9.8129814e-5 || TEST LOSS: 9.8129814e-5
 #======================#
 TRAIN STATS
-R² score:             0.99988633
-MSE (mean SQR error): 0.000113599075
-RMSE (Root MSE):      0.010658287
-MAE (mean ABS error): 0.006186129
-maxAE (max ABS error) 0.32720518
-Lipschitz bound:      10.919991
+R² score:             0.9999019
+MSE (mean SQR error): 9.8129814e-5
+RMSE (Root MSE):      0.00990605
+MAE (mean ABS error): 0.006679354
+maxAE (max ABS error) 0.27329254
+Lipschitz bound:      8.155139
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99988633
-MSE (mean SQR error): 0.00011359906
-RMSE (Root MSE):      0.010658286
-MAE (mean ABS error): 0.0061861286
-maxAE (max ABS error) 0.32720518
-Lipschitz bound:      10.919991
+R² score:             0.9999019
+MSE (mean SQR error): 9.812982e-5
+RMSE (Root MSE):      0.00990605
+MAE (mean ABS error): 0.006679354
+maxAE (max ABS error) 0.27329254
+Lipschitz bound:      8.155139
 
 #======================#
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_04.txt b/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_04.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 8.594278e-5 || TEST LOSS: 8.594278e-5
+Epoch [0 / 0]	TRAIN LOSS: 6.8454756e-5 || TEST LOSS: 6.8454756e-5
 #======================#
 TRAIN STATS
-R² score:             0.999914
-MSE (mean SQR error): 8.594279e-5
-RMSE (Root MSE):      0.009270533
-MAE (mean ABS error): 0.0054321955
-maxAE (max ABS error) 0.3112049
-Lipschitz bound:      10.925883
+R² score:             0.9999315
+MSE (mean SQR error): 6.845476e-5
+RMSE (Root MSE):      0.008273739
+MAE (mean ABS error): 0.005285323
+maxAE (max ABS error) 0.20288658
+Lipschitz bound:      8.207073
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.999914
-MSE (mean SQR error): 8.594279e-5
-RMSE (Root MSE):      0.009270533
-MAE (mean ABS error): 0.0054321955
-maxAE (max ABS error) 0.3112049
-Lipschitz bound:      10.925883
+R² score:             0.9999315
+MSE (mean SQR error): 6.845476e-5
+RMSE (Root MSE):      0.008273739
+MAE (mean ABS error): 0.005285322
+maxAE (max ABS error) 0.20288682
+Lipschitz bound:      8.207073
 
 #======================#
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_05.txt b/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_05.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 6.688948e-5 || TEST LOSS: 6.688948e-5
+Epoch [0 / 0]	TRAIN LOSS: 2.435499e-5 || TEST LOSS: 2.435499e-5
 #======================#
 TRAIN STATS
-R² score:             0.99993306
-MSE (mean SQR error): 6.688947e-5
-RMSE (Root MSE):      0.008178598
-MAE (mean ABS error): 0.0048254705
-maxAE (max ABS error) 0.24520469
-Lipschitz bound:      10.932542
+R² score:             0.9999756
+MSE (mean SQR error): 2.435499e-5
+RMSE (Root MSE):      0.0049350774
+MAE (mean ABS error): 0.0032817796
+maxAE (max ABS error) 0.12281889
+Lipschitz bound:      8.365065
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99993306
-MSE (mean SQR error): 6.688947e-5
-RMSE (Root MSE):      0.008178598
-MAE (mean ABS error): 0.0048254705
-maxAE (max ABS error) 0.24520469
-Lipschitz bound:      10.932542
+R² score:             0.9999756
+MSE (mean SQR error): 2.4354988e-5
+RMSE (Root MSE):      0.0049350774
+MAE (mean ABS error): 0.0032817796
+maxAE (max ABS error) 0.12281889
+Lipschitz bound:      8.365065
 
 #======================#
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_06.txt b/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_06.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 2.5805164e-5 || TEST LOSS: 2.5805164e-5
+Epoch [0 / 0]	TRAIN LOSS: 1.9993677e-5 || TEST LOSS: 1.9993677e-5
 #======================#
 TRAIN STATS
-R² score:             0.99997413
-MSE (mean SQR error): 2.5805164e-5
-RMSE (Root MSE):      0.0050798785
-MAE (mean ABS error): 0.0029294745
-maxAE (max ABS error) 0.18168092
-Lipschitz bound:      10.997159
+R² score:             0.99998
+MSE (mean SQR error): 1.9993677e-5
+RMSE (Root MSE):      0.004471429
+MAE (mean ABS error): 0.0030059323
+maxAE (max ABS error) 0.1181311
+Lipschitz bound:      8.383216
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99997413
-MSE (mean SQR error): 2.5805164e-5
-RMSE (Root MSE):      0.0050798785
-MAE (mean ABS error): 0.0029294745
-maxAE (max ABS error) 0.18168092
-Lipschitz bound:      10.997159
+R² score:             0.99998
+MSE (mean SQR error): 1.9993677e-5
+RMSE (Root MSE):      0.004471429
+MAE (mean ABS error): 0.0030059323
+maxAE (max ABS error) 0.11813104
+Lipschitz bound:      8.383216
 
 #======================#
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_07.txt b/experiments_SNFROM/advect_fourier2D/model_CAE02/statistics_07.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 1.3540018e-5 || TEST LOSS: 1.3540018e-5
+Epoch [0 / 0]	TRAIN LOSS: 1.3164835e-5 || TEST LOSS: 1.3164835e-5
 #======================#
 TRAIN STATS
-R² score:             0.99998647
-MSE (mean SQR error): 1.3540018e-5
-RMSE (Root MSE):      0.0036796764
-MAE (mean ABS error): 0.0022022345
-maxAE (max ABS error) 0.11903941
-Lipschitz bound:      11.050547
+R² score:             0.9999868
+MSE (mean SQR error): 1.3164835e-5
+RMSE (Root MSE):      0.0036283375
+MAE (mean ABS error): 0.002427296
+maxAE (max ABS error) 0.1040419
+Lipschitz bound:      8.457631
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99998647
-MSE (mean SQR error): 1.3540018e-5
-RMSE (Root MSE):      0.0036796764
-MAE (mean ABS error): 0.0022022347
-maxAE (max ABS error) 0.11903932
-Lipschitz bound:      11.050547
+R² score:             0.9999868
+MSE (mean SQR error): 1.3164834e-5
+RMSE (Root MSE):      0.0036283375
+MAE (mean ABS error): 0.002427296
+maxAE (max ABS error) 0.10404184
+Lipschitz bound:      8.457631
 
 #======================#
diff --git a/experiments_SNFROM/advect_fourier2D/model_CAE02/train_codes b/experiments_SNFROM/advect_fourier2D/model_CAE02/train_codes
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evole_p_scatter_case1.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evole_p_scatter_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_e1_case1.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_e1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_p_case1.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_p_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_p_scatter_case1.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_p_scatter_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_1.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_167.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_167.png
diff --git a/...ents_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_167_error.png b/...ents_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_167_error.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_1_error.png b/...iments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_1_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_2.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_2.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_2_error.png b/...iments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_2_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_3.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_3.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_334.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_334.png
diff --git a/...ents_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_334_error.png b/...ents_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_334_error.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_3_error.png b/...iments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_3_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_4.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_4.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_4_error.png b/...iments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_4_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_5.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_5.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_500.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_500.png
diff --git a/...ents_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_500_error.png b/...ents_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_500_error.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_5_error.png b/...iments_SNFROM/advect_fourier2D/model_PCA08/results/evolve_u1_1_time_5_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/test_1.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/test_1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_PCA08/train_1.png b/experiments_SNFROM/advect_fourier2D/model_PCA08/train_1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_e1_case1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_e1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_p_case1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_p_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_p_scatter_case1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_p_scatter_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_1_error.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_1_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_2.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_2.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_2_error.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_2_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_3.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_3.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_3_error.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_3_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_4.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_4.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_4_error.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_4_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_5.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_5.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_5_error.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/dt/evolve_u1_1_time_5_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_01.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_01.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_02.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_02.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_03.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_03.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_04.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_04.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_05.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_05.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_06.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_06.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_07.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_07.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_08.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/plt_training_08.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/compare_p_case1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/compare_p_case1.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_SNL02/results/compare_p_scatter_case1.png b/...riments_SNFROM/advect_fourier2D/model_SNL02/results/compare_p_scatter_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_e1_case1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_e1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_p_case1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_p_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_p_scatter_case1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_p_scatter_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_1.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_1_error.png b/...iments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_1_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_2.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_2.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_2_error.png b/...iments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_2_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_3.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_3.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_3_error.png b/...iments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_3_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_4.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_4.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_4_error.png b/...iments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_4_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_5.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_5.png
diff --git a/...iments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_5_error.png b/...iments_SNFROM/advect_fourier2D/model_SNL02/results/evolve_u1_1_time_5_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_e1_case1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_e1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_p_case1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_p_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_p_scatter.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_p_scatter.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_1.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_1.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_1_error.png b/...riments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_1_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_2.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_2.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_2_error.png b/...riments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_2_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_3.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_3.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_3_error.png b/...riments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_3_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_4.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_4.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_4_error.png b/...riments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_4_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_5.png b/experiments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_5.png
diff --git a/...riments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_5_error.png b/...riments_SNFROM/advect_fourier2D/model_SNL02/results/train_u1_1_time_5_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/statistics_01.txt b/experiments_SNFROM/advect_fourier2D/model_SNL02/statistics_01.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 0.0070366175 || TEST LOSS: 0.0070366175
+Epoch [0 / 0]	TRAIN LOSS: 0.0024810433 || TEST LOSS: 0.0024810433
 #======================#
 TRAIN STATS
-R² score:             0.9944822
-MSE (mean SQR error): 0.0052379044
-RMSE (Root MSE):      0.07237337
-MAE (mean ABS error): 0.020284738
-maxAE (max ABS error) 1.9994946
-Lipschitz bound:      3.5264284e7
+R² score:             0.9981732
+MSE (mean SQR error): 0.0018691762
+RMSE (Root MSE):      0.04323397
+MAE (mean ABS error): 0.012734476
+maxAE (max ABS error) 1.0760345
+Lipschitz bound:      1.0985549e7
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.9944822
-MSE (mean SQR error): 0.0052379044
-RMSE (Root MSE):      0.07237337
-MAE (mean ABS error): 0.020284738
-maxAE (max ABS error) 1.9994946
-Lipschitz bound:      3.5264284e7
+R² score:             0.9981732
+MSE (mean SQR error): 0.0018691762
+RMSE (Root MSE):      0.04323397
+MAE (mean ABS error): 0.012734475
+maxAE (max ABS error) 1.0760345
+Lipschitz bound:      1.0985549e7
 
 #======================#
diff --git a/experiments_SNFROM/advect_fourier2D/model_SNL02/statistics_02.txt b/experiments_SNFROM/advect_fourier2D/model_SNL02/statistics_02.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 0.00027254588 || TEST LOSS: 0.00027254588
+Epoch [0 / 0]	TRAIN LOSS: 0.00016081602 || TEST LOSS: 0.00016081602
 #======================#
 TRAIN STATS
-R² score:             0.99988174
-MSE (mean SQR error): 0.000117768264
-RMSE (Root MSE):      0.010852109
-MAE (mean ABS error): 0.0042917975
-maxAE (max ABS error) 0.44214633
-Lipschitz bound:      1.6606484e6
+R² score:             0.9999434
+MSE (mean SQR error): 5.638156e-5
+RMSE (Root MSE):      0.0075087654
+MAE (mean ABS error): 0.002912594
+maxAE (max ABS error) 0.31302643
+Lipschitz bound:      858499.5
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.99988174
-MSE (mean SQR error): 0.00011776827
-RMSE (Root MSE):      0.010852109
-MAE (mean ABS error): 0.004291798
-maxAE (max ABS error) 0.44214633
-Lipschitz bound:      1.6606484e6
+R² score:             0.9999434
+MSE (mean SQR error): 5.6381563e-5
+RMSE (Root MSE):      0.0075087654
+MAE (mean ABS error): 0.002912594
+maxAE (max ABS error) 0.31302643
+Lipschitz bound:      858499.5
 
 #======================#