Hyperreduction working well for Advection2D

vpuri3 · Jun 20, 2024 · fbbcf56 · fbbcf56
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diff --git a/experiments_SNFROM/advect_fourier1D/snf.jl b/experiments_SNFROM/advect_fourier1D/snf.jl
@@ -17,6 +17,7 @@ device = Lux.gpu_device()
 # makedata_kws = (; Ix = :, _Ib = [1,], Ib_ = [1,], _It = :, It_ = :)
 # train_SNF_compare(latent, datafile, modeldir, train_params; rng, device)
 
+evolve_kw = (; hyper_reduction = true,)
 postprocess_SNF(prob, datafile, modelfile; rng, device)
 #======================================================#
 nothing
diff --git a/experiments_SNFROM/advect_fourier2D/dump/plt_training_01.png b/experiments_SNFROM/advect_fourier2D/dump/plt_training_01.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/plt_training_02.png b/experiments_SNFROM/advect_fourier2D/dump/plt_training_02.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/plt_training_03.png b/experiments_SNFROM/advect_fourier2D/dump/plt_training_03.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/plt_training_04.png b/experiments_SNFROM/advect_fourier2D/dump/plt_training_04.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/plt_training_05.png b/experiments_SNFROM/advect_fourier2D/dump/plt_training_05.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/plt_training_06.png b/experiments_SNFROM/advect_fourier2D/dump/plt_training_06.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/plt_training_07.png b/experiments_SNFROM/advect_fourier2D/dump/plt_training_07.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/plt_training_08.png b/experiments_SNFROM/advect_fourier2D/dump/plt_training_08.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/README.md b/experiments_SNFROM/advect_fourier2D/dump/results/README.md
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/compare_p_case1.png b/experiments_SNFROM/advect_fourier2D/dump/results/compare_p_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/compare_p_scatter_case1.png b/experiments_SNFROM/advect_fourier2D/dump/results/compare_p_scatter_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_e1_case1.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_e1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_p_case1.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_p_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_p_scatter_case1.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_p_scatter_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_1.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_1.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_1_error.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_1_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_2.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_2.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_2_error.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_2_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_3.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_3.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_3_error.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_3_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_4.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_4.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_4_error.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_4_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_5.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_5.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_5_error.png b/experiments_SNFROM/advect_fourier2D/dump/results/evolve_u1_1_time_5_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_e1_case1.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_e1_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_p_case1.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_p_case1.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_p_scatter.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_p_scatter.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_1.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_1.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_1_error.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_1_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_2.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_2.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_2_error.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_2_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_3.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_3.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_3_error.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_3_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_4.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_4.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_4_error.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_4_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_5.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_5.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_5_error.png b/experiments_SNFROM/advect_fourier2D/dump/results/train_u1_1_time_5_error.png
diff --git a/experiments_SNFROM/advect_fourier2D/dump/statistics_01.txt b/experiments_SNFROM/advect_fourier2D/dump/statistics_01.txt
@@ -0,0 +1,21 @@
+Epoch [0 / 0]	TRAIN LOSS: 0.07959339 || TEST LOSS: 0.07959339
+#======================#
+TRAIN STATS
+R² score:             0.89782786
+MSE (mean SQR error): 0.07950444
+RMSE (Root MSE):      0.28196532
+MAE (mean ABS error): 0.083624355
+maxAE (max ABS error) 4.9364767
+Lipschitz bound:      2.9390372e6
+
+#======================#
+#======================#
+TEST  STATS
+R² score:             0.89782786
+MSE (mean SQR error): 0.07950444
+RMSE (Root MSE):      0.28196532
+MAE (mean ABS error): 0.083624355
+maxAE (max ABS error) 4.9364767
+Lipschitz bound:      2.9390372e6
+
+#======================#
diff --git a/experiments_SNFROM/advect_fourier2D/dump/statistics_02.txt b/experiments_SNFROM/advect_fourier2D/dump/statistics_02.txt
@@ -0,0 +1,21 @@
+Epoch [0 / 0]	TRAIN LOSS: 9.108968e-5 || TEST LOSS: 9.108968e-5
+#======================#
+TRAIN STATS
+R² score:             0.9999883
+MSE (mean SQR error): 1.1684139e-5
+RMSE (Root MSE):      0.0034182067
+MAE (mean ABS error): 0.0013902619
+maxAE (max ABS error) 0.17474842
+Lipschitz bound:      1.4389324e7
+
+#======================#
+#======================#
+TEST  STATS
+R² score:             0.9999883
+MSE (mean SQR error): 1.1684139e-5
+RMSE (Root MSE):      0.0034182067
+MAE (mean ABS error): 0.0013902619
+maxAE (max ABS error) 0.17474842
+Lipschitz bound:      1.4389324e7
+
+#======================#
diff --git a/experiments_SNFROM/advect_fourier2D/dump/statistics_03.txt b/experiments_SNFROM/advect_fourier2D/dump/statistics_03.txt
@@ -0,0 +1,21 @@
+Epoch [0 / 0]	TRAIN LOSS: 6.393927e-5 || TEST LOSS: 6.393927e-5
+#======================#
+TRAIN STATS
+R² score:             0.99999785
+MSE (mean SQR error): 2.164636e-6
+RMSE (Root MSE):      0.0014712702
+MAE (mean ABS error): 0.00066710263
+maxAE (max ABS error) 0.07369709
+Lipschitz bound:      2.0018566e7
+
+#======================#
+#======================#
+TEST  STATS
+R² score:             0.99999785
+MSE (mean SQR error): 2.1646363e-6
+RMSE (Root MSE):      0.0014712703
+MAE (mean ABS error): 0.00066710263
+maxAE (max ABS error) 0.07369709
+Lipschitz bound:      2.0018566e7
+
+#======================#
diff --git a/experiments_SNFROM/advect_fourier2D/dump/statistics_04.txt b/experiments_SNFROM/advect_fourier2D/dump/statistics_04.txt
@@ -0,0 +1,21 @@
+Epoch [0 / 0]	TRAIN LOSS: 4.8295835e-5 || TEST LOSS: 4.8295835e-5
+#======================#
+TRAIN STATS
+R² score:             0.9999996
+MSE (mean SQR error): 4.428761e-7
+RMSE (Root MSE):      0.00066548935
+MAE (mean ABS error): 0.00040202946
+maxAE (max ABS error) 0.030995367
+Lipschitz bound:      2.5403956e7
+
+#======================#
+#======================#
+TEST  STATS
+R² score:             0.9999996
+MSE (mean SQR error): 4.42876e-7
+RMSE (Root MSE):      0.0006654893
+MAE (mean ABS error): 0.00040202946
+maxAE (max ABS error) 0.030995367
+Lipschitz bound:      2.5403956e7
+
+#======================#
diff --git a/experiments_SNFROM/advect_fourier2D/dump/statistics_05.txt b/experiments_SNFROM/advect_fourier2D/dump/statistics_05.txt
@@ -0,0 +1,21 @@
+Epoch [0 / 0]	TRAIN LOSS: 4.1022606e-5 || TEST LOSS: 4.1022606e-5
+#======================#
+TRAIN STATS
+R² score:             0.9999997
+MSE (mean SQR error): 3.0104553e-7
+RMSE (Root MSE):      0.0005486762
+MAE (mean ABS error): 0.00033684052
+maxAE (max ABS error) 0.022165298
+Lipschitz bound:      2.7718932e7
+
+#======================#
+#======================#
+TEST  STATS
+R² score:             0.9999997
+MSE (mean SQR error): 3.0104553e-7
+RMSE (Root MSE):      0.0005486762
+MAE (mean ABS error): 0.00033684052
+maxAE (max ABS error) 0.022165298
+Lipschitz bound:      2.7718932e7
+
+#======================#
diff --git a/experiments_SNFROM/advect_fourier2D/dump/statistics_06.txt b/experiments_SNFROM/advect_fourier2D/dump/statistics_06.txt
@@ -0,0 +1,21 @@
+Epoch [0 / 0]	TRAIN LOSS: 3.662684e-5 || TEST LOSS: 3.662684e-5
+#======================#
+TRAIN STATS
+R² score:             0.99999976
+MSE (mean SQR error): 2.568104e-7
+RMSE (Root MSE):      0.0005067646
+MAE (mean ABS error): 0.00032269835
+maxAE (max ABS error) 0.020819664
+Lipschitz bound:      2.8856308e7
+
+#======================#
+#======================#
+TEST  STATS
+R² score:             0.99999976
+MSE (mean SQR error): 2.568104e-7
+RMSE (Root MSE):      0.0005067646
+MAE (mean ABS error): 0.00032269835
+maxAE (max ABS error) 0.020819664
+Lipschitz bound:      2.8856308e7
+
+#======================#
diff --git a/experiments_SNFROM/advect_fourier2D/dump/statistics_07.txt b/experiments_SNFROM/advect_fourier2D/dump/statistics_07.txt
@@ -0,0 +1,21 @@
+Epoch [0 / 0]	TRAIN LOSS: 3.377672e-5 || TEST LOSS: 3.377672e-5
+#======================#
+TRAIN STATS
+R² score:             0.99999976
+MSE (mean SQR error): 2.4681898e-7
+RMSE (Root MSE):      0.0004968088
+MAE (mean ABS error): 0.00032304114
+maxAE (max ABS error) 0.018532751
+Lipschitz bound:      2.9604058e7
+
+#======================#
+#======================#
+TEST  STATS
+R² score:             0.99999976
+MSE (mean SQR error): 2.46819e-7
+RMSE (Root MSE):      0.00049680885
+MAE (mean ABS error): 0.00032304114
+maxAE (max ABS error) 0.018532751
+Lipschitz bound:      2.9604058e7
+
+#======================#
diff --git a/experiments_SNFROM/advect_fourier2D/dump/statistics_08.txt b/experiments_SNFROM/advect_fourier2D/dump/statistics_08.txt
@@ -0,0 +1,21 @@
+Epoch [0 / 0]	TRAIN LOSS: 3.1731557e-5 || TEST LOSS: 3.1731557e-5
+#======================#
+TRAIN STATS
+R² score:             0.99999976
+MSE (mean SQR error): 2.1531628e-7
+RMSE (Root MSE):      0.00046402184
+MAE (mean ABS error): 0.00030401754
+maxAE (max ABS error) 0.018846512
+Lipschitz bound:      3.0150234e7
+
+#======================#
+#======================#
+TEST  STATS
+R² score:             0.99999976
+MSE (mean SQR error): 2.1531628e-7
+RMSE (Root MSE):      0.00046402184
+MAE (mean ABS error): 0.00030401754
+maxAE (max ABS error) 0.018846512
+Lipschitz bound:      3.0150234e7
+
+#======================#
diff --git a/experiments_SNFROM/advect_fourier2D/snf.jl b/experiments_SNFROM/advect_fourier2D/snf.jl
@@ -0,0 +1,24 @@
+#
+using NeuralROMs
+joinpath(pkgdir(NeuralROMs), "experiments_SNFROM", "compare.jl") |> include
+#======================================================#
+
+rng = Random.default_rng()
+Random.seed!(rng, 199)
+
+prob = Advection2D(0.25f0, 0.25f0)
+datafile  = joinpath(@__DIR__, "data_advect/", "data.jld2")
+modeldir  = joinpath(@__DIR__, "dump")
+modelfile = joinpath(modeldir, "model_08.jld2")
+device = Lux.gpu_device()
+
+# latent = 2
+# batchsize_ = (128 * 128) * 500 ÷ 4
+# makedata_kws = (; Ix = :, _Ib = [1,], Ib_ = [1,], _It = :, It_ = :)
+# train_params = (; E = 1400, wd = 128, α = 0f-0, γ = 1f-2, makedata_kws, batchsize_)
+# train_SNF_compare(latent, datafile, modeldir, train_params; rng, device)
+
+evolve_kw = (; hyper_reduction = true)
+postprocess_SNF(prob, datafile, modelfile; rng, evolve_kw, device)
+#======================================================#
+nothing
diff --git a/experiments_SNFROM/burgers_fourier1D/burgers1d_compare.jl b/experiments_SNFROM/burgers_fourier1D/burgers1d_compare.jl
@@ -33,20 +33,20 @@ modeldir_CAE = joinpath(@__DIR__, "model_CAE$(l0)") # Lee, Carlberg
 modeldir_SNW = joinpath(@__DIR__, "model_SNW$(l0)") # us (Weight decay)
 modeldir_SNL = joinpath(@__DIR__, "model_SNL$(l0)") # us (Lipschitz)
 
-# train PCA
-train_PCA(datafile, modeldir_PCA, l_pca; rng, makedata_kws, device)
-
-# train_CAE
-train_params_CAE = (; E = 1400, w = 64, makedata_kws,)
-train_CAE_compare(prob, latent, datafile, modeldir_CAE, train_params_CAE; rng, device)
-
-# train_SNW
-train_params_SNW = (; E = 1400, wd = 128, α = 0f-0, γ = 1f-2, makedata_kws)#, batchsize_)
-train_SNF_compare(latent, datafile, modeldir_SNW, train_params_SNW; rng, device)
-
-# train_SNL
-train_params_SNL = (; E = 1400, wd = 128, α = 1f-4, γ = 0f-0, makedata_kws)#, batchsize_)
-train_SNF_compare(latent, datafile, modeldir_SNL, train_params_SNL; rng, device)
+# # train PCA
+# train_PCA(datafile, modeldir_PCA, l_pca; rng, makedata_kws, device)
+#
+# # train_CAE
+# train_params_CAE = (; E = 1400, w = 64, makedata_kws,)
+# train_CAE_compare(prob, latent, datafile, modeldir_CAE, train_params_CAE; rng, device)
+#
+# # train_SNW
+# train_params_SNW = (; E = 1400, wd = 128, α = 0f-0, γ = 1f-2, makedata_kws)#, batchsize_)
+# train_SNF_compare(latent, datafile, modeldir_SNW, train_params_SNW; rng, device)
+#
+# # train_SNL
+# train_params_SNL = (; E = 1400, wd = 128, α = 1f-4, γ = 0f-0, makedata_kws)#, batchsize_)
+# train_SNF_compare(latent, datafile, modeldir_SNL, train_params_SNL; rng, device)
 
 #==================#
 # postprocess
@@ -60,10 +60,10 @@ modelfile_SNL = joinpath(modeldir_SNL, "model_08.jld2")
 evolve_kw = (;)
 # evolve_kw = (; adaptive = true)
 
-postprocess_PCA(prob, datafile, modelfile_PCA; rng, device)
-postprocess_CAE(prob, datafile, modelfile_CAE; rng, evolve_kw)
-postprocess_SNF(prob, datafile, modelfile_SNW; rng, evolve_kw, device)
-postprocess_SNF(prob, datafile, modelfile_SNL; rng, evolve_kw, device)
+# postprocess_PCA(prob, datafile, modelfile_PCA; rng, device)
+# postprocess_CAE(prob, datafile, modelfile_CAE; rng, evolve_kw)
+# postprocess_SNF(prob, datafile, modelfile_SNW; rng, evolve_kw, device)
+# postprocess_SNF(prob, datafile, modelfile_SNL; rng, evolve_kw, device)
 
 #==================#
 # make figures

diff --git a/experiments_SNFROM/burgers_fourier1D/compare_er_case1.png b/experiments_SNFROM/burgers_fourier1D/compare_er_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_er_case2.png b/experiments_SNFROM/burgers_fourier1D/compare_er_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_er_case3.png b/experiments_SNFROM/burgers_fourier1D/compare_er_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_er_case4.png b/experiments_SNFROM/burgers_fourier1D/compare_er_case4.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_er_case5.png b/experiments_SNFROM/burgers_fourier1D/compare_er_case5.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_er_case6.png b/experiments_SNFROM/burgers_fourier1D/compare_er_case6.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t0_case1.png b/experiments_SNFROM/burgers_fourier1D/compare_t0_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t0_case2.png b/experiments_SNFROM/burgers_fourier1D/compare_t0_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t0_case3.png b/experiments_SNFROM/burgers_fourier1D/compare_t0_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t0_case4.png b/experiments_SNFROM/burgers_fourier1D/compare_t0_case4.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t0_case5.png b/experiments_SNFROM/burgers_fourier1D/compare_t0_case5.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t0_case6.png b/experiments_SNFROM/burgers_fourier1D/compare_t0_case6.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t1_case1.png b/experiments_SNFROM/burgers_fourier1D/compare_t1_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t1_case2.png b/experiments_SNFROM/burgers_fourier1D/compare_t1_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t1_case3.png b/experiments_SNFROM/burgers_fourier1D/compare_t1_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t1_case4.png b/experiments_SNFROM/burgers_fourier1D/compare_t1_case4.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t1_case5.png b/experiments_SNFROM/burgers_fourier1D/compare_t1_case5.png
diff --git a/experiments_SNFROM/burgers_fourier1D/compare_t1_case6.png b/experiments_SNFROM/burgers_fourier1D/compare_t1_case6.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_01.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_01.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_02.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_02.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_03.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_03.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_04.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_04.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_05.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_05.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_06.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_06.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_07.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/plt_training_07.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case1.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case2.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case3.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case4.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case4.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case5.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case5.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case6.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_e1_case6.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case1.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case2.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case3.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case4.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case4.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case5.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case5.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case6.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_case6.png
diff --git a/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case1.png b/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case1.png
diff --git a/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case2.png b/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case2.png
diff --git a/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case3.png b/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case3.png
diff --git a/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case4.png b/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case4.png
diff --git a/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case5.png b/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case5.png
diff --git a/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case6.png b/...iments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_p_scatter_case6.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case1.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case2.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case3.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case4.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case4.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case5.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case5.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case6.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/compare_u1_case6.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case1.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case2.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case3.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case4.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case4.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case5.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case5.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case6.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_e1_case6.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case1.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case2.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case3.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case4.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case4.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case5.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case5.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case6.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_case6.png
diff --git a/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case1.png b/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case1.png
diff --git a/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case2.png b/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case2.png
diff --git a/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case3.png b/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case3.png
diff --git a/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case4.png b/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case4.png
diff --git a/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case5.png b/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case5.png
diff --git a/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case6.png b/...riments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_p_scatter_case6.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case1.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case2.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case3.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case4.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case4.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case5.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case5.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case6.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/evolve_u1_case6.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/test_p_case2.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/test_p_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/test_p_case4.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/test_p_case4.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/test_p_case6.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/test_p_case6.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_e1_case1.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_e1_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_e1_case2.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_e1_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_e1_case3.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_e1_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_p_case1.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_p_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_p_case3.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_p_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_p_case5.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_p_case5.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_p_scatter.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_p_scatter.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_u1_case1.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_u1_case1.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_u1_case2.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_u1_case2.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_u1_case3.png b/experiments_SNFROM/burgers_fourier1D/model_CAE02/results/train_u1_case3.png
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/statistics_01.txt b/experiments_SNFROM/burgers_fourier1D/model_CAE02/statistics_01.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 3.29769e-5 || TEST LOSS: 3.29769e-5
+Epoch [0 / 0]	TRAIN LOSS: 3.4859244e-5 || TEST LOSS: 3.4859244e-5
 #======================#
 TRAIN STATS
-R² score:             0.9999656
-MSE (mean SQR error): 3.29769e-5
-RMSE (Root MSE):      0.0057425518
-MAE (mean ABS error): 0.0039906665
-maxAE (max ABS error) 0.33689684
-Lipschitz bound:      9.251425
+R² score:             0.9999637
+MSE (mean SQR error): 3.4859244e-5
+RMSE (Root MSE):      0.0059041716
+MAE (mean ABS error): 0.00399306
+maxAE (max ABS error) 0.32053757
+Lipschitz bound:      8.303828
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.9999656
-MSE (mean SQR error): 3.2976903e-5
-RMSE (Root MSE):      0.0057425518
-MAE (mean ABS error): 0.003990666
-maxAE (max ABS error) 0.33689684
-Lipschitz bound:      9.251425
+R² score:             0.9999637
+MSE (mean SQR error): 3.485924e-5
+RMSE (Root MSE):      0.0059041716
+MAE (mean ABS error): 0.00399306
+maxAE (max ABS error) 0.32053757
+Lipschitz bound:      8.303828
 
 #======================#
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/statistics_02.txt b/experiments_SNFROM/burgers_fourier1D/model_CAE02/statistics_02.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 1.14264185e-5 || TEST LOSS: 1.14264185e-5
+Epoch [0 / 0]	TRAIN LOSS: 1.4201271e-5 || TEST LOSS: 1.4201271e-5
 #======================#
 TRAIN STATS
-R² score:             0.999988
-MSE (mean SQR error): 1.14264185e-5
-RMSE (Root MSE):      0.0033802984
-MAE (mean ABS error): 0.0022574454
-maxAE (max ABS error) 0.2184813
-Lipschitz bound:      10.982954
+R² score:             0.9999851
+MSE (mean SQR error): 1.4201271e-5
+RMSE (Root MSE):      0.003768457
+MAE (mean ABS error): 0.002523462
+maxAE (max ABS error) 0.28752708
+Lipschitz bound:      9.592586
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.999988
-MSE (mean SQR error): 1.1426417e-5
-RMSE (Root MSE):      0.0033802984
-MAE (mean ABS error): 0.0022574456
-maxAE (max ABS error) 0.2184813
-Lipschitz bound:      10.982954
+R² score:             0.9999851
+MSE (mean SQR error): 1.4201269e-5
+RMSE (Root MSE):      0.003768457
+MAE (mean ABS error): 0.002523462
+maxAE (max ABS error) 0.28752708
+Lipschitz bound:      9.592586
 
 #======================#
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/statistics_03.txt b/experiments_SNFROM/burgers_fourier1D/model_CAE02/statistics_03.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 4.1313647e-6 || TEST LOSS: 4.1313647e-6
+Epoch [0 / 0]	TRAIN LOSS: 8.287154e-6 || TEST LOSS: 8.287154e-6
 #======================#
 TRAIN STATS
-R² score:             0.9999957
-MSE (mean SQR error): 4.1313647e-6
-RMSE (Root MSE):      0.002032576
-MAE (mean ABS error): 0.0013552677
-maxAE (max ABS error) 0.13068151
-Lipschitz bound:      11.582279
+R² score:             0.9999913
+MSE (mean SQR error): 8.287154e-6
+RMSE (Root MSE):      0.0028787416
+MAE (mean ABS error): 0.0018920312
+maxAE (max ABS error) 0.21459033
+Lipschitz bound:      9.758869
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.9999957
-MSE (mean SQR error): 4.1313647e-6
-RMSE (Root MSE):      0.002032576
-MAE (mean ABS error): 0.0013552677
-maxAE (max ABS error) 0.13068151
-Lipschitz bound:      11.582279
+R² score:             0.9999913
+MSE (mean SQR error): 8.287154e-6
+RMSE (Root MSE):      0.0028787416
+MAE (mean ABS error): 0.0018920312
+maxAE (max ABS error) 0.21459033
+Lipschitz bound:      9.758869
 
 #======================#
diff --git a/experiments_SNFROM/burgers_fourier1D/model_CAE02/statistics_04.txt b/experiments_SNFROM/burgers_fourier1D/model_CAE02/statistics_04.txt
@@ -1,21 +1,21 @@
-Epoch [0 / 0]	TRAIN LOSS: 3.7262396e-6 || TEST LOSS: 3.7262396e-6
+Epoch [0 / 0]	TRAIN LOSS: 3.9551287e-6 || TEST LOSS: 3.9551287e-6
 #======================#
 TRAIN STATS
-R² score:             0.9999962
-MSE (mean SQR error): 3.7262396e-6
-RMSE (Root MSE):      0.001930347
-MAE (mean ABS error): 0.0012878623
-maxAE (max ABS error) 0.12932086
-Lipschitz bound:      11.640823
+R² score:             0.99999595
+MSE (mean SQR error): 3.9551287e-6
+RMSE (Root MSE):      0.0019887506
+MAE (mean ABS error): 0.0013053538
+maxAE (max ABS error) 0.14382899
+Lipschitz bound:      10.559205
 
 #======================#
 #======================#
 TEST  STATS
-R² score:             0.9999962
-MSE (mean SQR error): 3.7262394e-6
-RMSE (Root MSE):      0.001930347
-MAE (mean ABS error): 0.0012878622
-maxAE (max ABS error) 0.12932086
-Lipschitz bound:      11.640823
+R² score:             0.99999595
+MSE (mean SQR error): 3.9551287e-6
+RMSE (Root MSE):      0.0019887506
+MAE (mean ABS error): 0.0013053537
+maxAE (max ABS error) 0.14382899
+Lipschitz bound:      10.559205
 
 #======================#