Add new figures and update manuscript title, abstract, and keywords

Code/data/width_optimization/2W/ml_FEMdata_B29_H30.csv

@@ -7,4 +7,4 @@ tw1,tw2,Exymax_tw1,Exymax_tw2,Eyymax_tf,TFMmax_tw1,TFMmax_tw2,TFMmax_frame
 18.64,13.8,0.024436,0.0814959,0.1546975,36.5113,106.3158,107.9247
 13.46,20.99,0.053643,0.0293971,0.1016962,105.4959,49.82,83.5084
 8.58,8.88,0.0632531,0.1042515,0.130283,123.1308,165.6866,86.976
-12.66,14.7,0.0449044,0.0617909,0.1170024,88.4725,91.4326,88.0453
+12.6,14.64,0.0450078,0.0615972,0.1161667,88.2463,91.1868,87.1722

Code/data/width_optimization/2W/ml_FEMdata_B34_H30.csv

@@ -7,3 +7,4 @@ tw1,tw2,Exymax_tw1,Exymax_tw2,Eyymax_tf,TFMmax_tw1,TFMmax_tw2,TFMmax_frame
 18.64,13.8,0.0302939,0.1027169,0.1913927,44.3285,142.8628,125.6498
 13.46,20.99,0.0686057,0.033276,0.1173378,138.993,60.5905,89.5536
 8.58,8.88,0.1085222,0.1382075,0.1669545,146.7474,192.9294,94.6607
+15.69,20,0.0512725,0.0460312,0.141023,103.5087,73.2362,99.2099

Code/data/width_optimization/2W/rbf_FEMdata_B29_H30.csv

 tw1,tw2,Exymax_tw1,Exymax_tw2,Eyymax_tf,TFMmax_tw1,TFMmax_tw2,TFMmax_frame
 15.22,18.46,0.0392701,0.0444714,0.1191054,73.5564,63.4273,88.8872
-12.74,12.61,0.0401210,0.0783297,0.1249457,72.9956,112.404,93.3510
-18.03,11.30,0.0227754,0.0992588,0.1671307,35.5244,145.9917,115.5385
-21.19,19.38,0.0201374,0.0506448,0.1515350,40.3906,70.2570,102.5168
+12.74,12.61,0.040121,0.0783297,0.1249457,72.9956,112.404,93.351
+18.03,11.3,0.0227754,0.0992588,0.1671307,35.5244,145.9917,115.5385
+21.19,19.38,0.0201374,0.0506448,0.151535,40.3906,70.257,102.5168
 9.78,15.96,0.0710369,0.0433733,0.1167672,143.7781,74.3999,80.5918
-18.64,13.8,0.0244360,0.0814959,0.1546975,36.5113,106.3158,107.9247
-13.46,20.99,0.0536430,0.0293971,0.1016962,105.4959,49.8200,83.5084
-8.58,8.88,0.0632531,0.1042515,0.1302830,123.1308,165.6866,86.9760
+18.64,13.8,0.024436,0.0814959,0.1546975,36.5113,106.3158,107.9247
+13.46,20.99,0.053643,0.0293971,0.1016962,105.4959,49.82,83.5084
+8.58,8.88,0.0632531,0.1042515,0.130283,123.1308,165.6866,86.976
 12.34,14.34,0.0461157,0.0635088,0.1160707,90.9982,94.5993,87.6823
+12.68,14.91,0.0449853,0.0597997,0.115753,88.7433,88.8361,86.8080

Code/data/width_optimization/2W/rbf_FEMdata_B34_H30.csv

@@ -2,9 +2,10 @@ tw1,tw2,Exymax_tw1,Exymax_tw2,Eyymax_tf,TFMmax_tw1,TFMmax_tw2,TFMmax_frame
 15.22,18.46,0.0510256,0.0539798,0.1449565,100.9598,83.4741,99.2565
 12.74,12.61,0.0625263,0.0940645,0.1555176,93.4107,143.0323,105.1522
 18.03,11.3,0.0295755,0.1281388,0.2320882,41.7941,188.8763,133.5331
-21.19,19.38,0.0349424,0.0675929,0.1833217,50.9109,88.8950,118.7431
+21.19,19.38,0.0349424,0.0675929,0.1833217,50.9109,88.895,118.7431
 9.78,15.96,0.0989222,0.0506776,0.1337613,180.2326,82.7747,91.5803
 18.64,13.8,0.0302939,0.1027169,0.1913927,44.3285,142.8628,125.6498
-13.46,20.99,0.0686057,0.0332760,0.1173378,138.9930,60.5905,89.5536
+13.46,20.99,0.0686057,0.033276,0.1173378,138.993,60.5905,89.5536
 8.58,8.88,0.1085222,0.1382075,0.1669545,146.7474,192.9294,94.6607
-15.50,20.00,0.0521125,0.0454009,0.1396136,105.8219,72.7413,98.4961
+15.5,20,0.0521125,0.0454009,0.1396136,105.8219,72.7413,98.4961
+14.8,18.93,0.0537676,0.0493064,0.1387399,109.1427,78.7074,96.7782

Code/data/width_optimization/3W/ml_FEMdata_B29_H45.csv

@@ -15,7 +15,7 @@ tw1,tw2,tw3,Exymax_tw1,Exymax_tw2,Exymax_tw3,Eyymax_tf,TFMmax_tw1,TFMmax_tw2,TFM
 7.07,15.26,4.16,0.0199412,0.030974,0.1744638,0.2911736,31.3565,37.3897,285.5494,166.6332
 11.94,14.8,15.93,0.0162564,0.0280608,0.0349907,0.0939799,25.3627,48.0349,62.0809,72.4997
 9.81,12.65,4.96,0.0092622,0.0285342,0.1633582,0.2867144,11.1527,44.1879,260.5004,156.512
-5.52,8.47,9.33,0.0538202,0.0475062,0.0510451,0.098339,102.5485,83.3491,82.8637,67.9344
+5.96,8.23,9.47,0.0463678,0.0464775,0.0513613,0.1005854,89.1983,85.2212,83.9612,68.0786
 5.81,8.12,9.04,0.0474045,0.0462994,0.0542192,0.100775,91.138,85.5144,88.6423,69.5669
 5.53,7.96,8.84,0.0514931,0.0484667,0.0543194,0.1001148,98.0415,88.6742,90.1816,68.8582
 5.83,7.89,8.95,0.0465888,0.0478258,0.054548,0.1018059,89.3979,88.5887,90.4094,69.1392

Code/data/width_optimization/3W/ml_FEMdata_B34_H45.csv

@@ -15,6 +15,6 @@ tw1,tw2,tw3,Exymax_tw1,Exymax_tw2,Exymax_tw3,Eyymax_tf,TFMmax_tw1,TFMmax_tw2,TFM
 7.07,15.26,4.16,0.0205172,0.0282205,0.1826803,0.28507,40.8943,38.3046,285.025,149.7966
 11.94,14.8,15.93,0.0239298,0.0817664,0.0338733,0.1028892,42.4723,87.8776,64.2093,69.8335
 9.81,12.65,4.96,0.0089586,0.032101,0.1749998,0.3156683,13.1979,47.4165,266.644,147.5593
-7.39,9.31,10.15,0.0379502,0.0469769,0.053119,0.0937488,79.7768,86.3154,87.0519,69.8441
+7.34,9.28,10.13,0.0383401,0.0470196,0.0529832,0.0937131,80.7634,86.7811,87.0794,69.6596
 6.88,9.05,9.83,0.0425174,0.0431259,0.0541058,0.0920949,89.8694,89.8644,88.4408,68.6215
 6.83,9.03,9.71,0.0422012,0.0464421,0.0538225,0.092772,90.4471,89.198,89.9087,68.9794

Code/data/width_optimization/3W/rbf_FEMdata_B29_H45.csv

 tw1,tw2,tw3,Exymax_tw1,Exymax_tw2,Exymax_tw3,Eyymax_tf,TFMmax_tw1,TFMmax_tw2,TFMmax_tw3,TFMmax_frame
-8.93,10.69,11.92,0.0246997,0.0417768,0.0464886,0.1013018,42.8515,55.8740,68.8582,72.3628
-14.65,7.11,11.38,0.0027074,0.0739921,0.0456774,0.1320175,3.2259,113.0944,74.3599,81.7340
+8.93,10.69,11.92,0.0246997,0.0417768,0.0464886,0.1013018,42.8515,55.874,68.8582,72.3628
+14.65,7.11,11.38,0.0027074,0.0739921,0.0456774,0.1320175,3.2259,113.0944,74.3599,81.734
 6.29,6.52,9.56,0.0400088,0.0663047,0.0487848,0.1169582,74.9831,119.2527,87.0856,69.9576
-4.58,8.02,12.59,0.0837647,0.0655233,0.0305480,0.0898686,157.3271,109.3948,50.2318,58.5561
-10.95,6.12,10.09,0.0101290,0.0826896,0.0504054,0.1372914,11.6665,133.1484,87.2615,81.9530
-13.03,8.96,14.90,0.0072895,0.0609930,0.0302428,0.1157139,8.0061,91.7049,50.4625,79.2896
-15.45,11.10,6.67,0.0024481,0.0291431,0.1215571,0.2017346,0.6759,50.1750,190.3621,126.9695
-14.25,13.56,5.60,0.0020784,0.0282992,0.1565546,0.2872795,1.0843,44.4171,247.7598,155.7495
-5.22,14.05,8.76,0.0602599,0.0185185,0.0612920,0.1309323,125.8713,32.7268,111.9502,90.7167
-12.69,4.24,7.49,0.0093316,0.1332601,0.1120888,0.1370617,6.2487,206.6610,123.4632,79.5508
-7.82,9.84,14.42,0.0344974,0.0463493,0.0297139,0.0968073,64.2934,77.0343,49.7950,67.3378
-5.72,11.78,13.37,0.0586680,0.0349843,0.0311180,0.0795838,121.0071,55.9826,53.3913,57.7322
+4.58,8.02,12.59,0.0837647,0.0655233,0.030548,0.0898686,157.3271,109.3948,50.2318,58.5561
+10.95,6.12,10.09,0.010129,0.0826896,0.0504054,0.1372914,11.6665,133.1484,87.2615,81.953
+13.03,8.96,14.9,0.0072895,0.060993,0.0302428,0.1157139,8.0061,91.7049,50.4625,79.2896
+15.45,11.1,6.67,0.0024481,0.0291431,0.1215571,0.2017346,0.6759,50.175,190.3621,126.9695
+14.25,13.56,5.6,0.0020784,0.0282992,0.1565546,0.2872795,1.0843,44.4171,247.7598,155.7495
+5.22,14.05,8.76,0.0602599,0.0185185,0.061292,0.1309323,125.8713,32.7268,111.9502,90.7167
+12.69,4.24,7.49,0.0093316,0.1332601,0.1120888,0.1370617,6.2487,206.661,123.4632,79.5508
+7.82,9.84,14.42,0.0344974,0.0463493,0.0297139,0.0968073,64.2934,77.0343,49.795,67.3378
+5.72,11.78,13.37,0.058668,0.0349843,0.031118,0.0795838,121.0071,55.9826,53.3913,57.7322
 10.54,4.85,8.21,0.0178929,0.1071379,0.0903543,0.1374885,13.2657,171.3972,112.4605,79.8828
-7.07,15.26,4.16,0.0199412,0.0309740,0.1744638,0.2911736,31.3565,37.3897,285.5494,166.6332
-11.94,14.80,15.93,0.0162564,0.0280608,0.0349907,0.0939799,25.3627,48.0349,62.0809,72.4997
-9.81,12.65,4.96,0.0092622,0.0285342,0.1633582,0.2867144,11.1527,44.1879,260.5004,156.5120
+7.07,15.26,4.16,0.0199412,0.030974,0.1744638,0.2911736,31.3565,37.3897,285.5494,166.6332
+11.94,14.8,15.93,0.0162564,0.0280608,0.0349907,0.0939799,25.3627,48.0349,62.0809,72.4997
+9.81,12.65,4.96,0.0092622,0.0285342,0.1633582,0.2867144,11.1527,44.1879,260.5004,156.512
 5.94,8.38,9.28,0.0463239,0.0448421,0.0532387,0.1007058,89.2364,82.0068,85.7161,69.8185
-5.68,7.97,9.00,0.0493762,0.0478416,0.0536288,0.1003415,94.4223,88.5502,88.8948,68.5487
+5.69,7.97,9.02,0.0492756,0.0478664,0.0534413,0.1004192,94.16882,88.57847,88.69432,68.470374

Code/data/width_optimization/3W/rbf_FEMdata_B34_H45.csv

 tw1,tw2,tw3,Exymax_tw1,Exymax_tw2,Exymax_tw3,Eyymax_tf,TFMmax_tw1,TFMmax_tw2,TFMmax_tw3,TFMmax_frame
-8.93,10.69,11.92,0.0314285,0.0361880,0.0500572,0.0968860,60.3168,73.0743,75.1730,70.8353
+8.93,10.69,11.92,0.0314285,0.036188,0.0500572,0.096886,60.3168,73.0743,75.173,70.8353
 14.65,7.11,11.38,0.0041545,0.0770628,0.0446173,0.1298872,5.7242,140.3068,76.6369,85.1589
-6.29,6.52,9.56,0.0425330,0.0678026,0.0470426,0.1058771,91.4702,145.2878,86.7668,68.0555
-4.58,8.02,12.59,0.1047867,0.0870891,0.0314758,0.0834590,202.6256,124.2751,48.3992,57.2506
+6.29,6.52,9.56,0.042533,0.0678026,0.0470426,0.1058771,91.4702,145.2878,86.7668,68.0555
+4.58,8.02,12.59,0.1047867,0.0870891,0.0314758,0.083459,202.6256,124.2751,48.3992,57.2506
 10.95,6.12,10.09,0.0169834,0.0839863,0.0570973,0.1329752,18.5951,160.5635,88.2842,83.5555
-13.03,8.96,14.90,0.0109994,0.0652393,0.0298515,0.1160830,14.5435,117.7404,55.5012,82.8776
-15.45,11.10,6.67,0.0018370,0.0306984,0.1385195,0.2498688,1.1291,55.9504,197.4358,125.0097
-14.25,13.56,5.60,0.0018503,0.0320090,0.1733572,0.3333523,0.8401,48.5556,257.8822,152.0872
+13.03,8.96,14.9,0.0109994,0.0652393,0.0298515,0.116083,14.5435,117.7404,55.5012,82.8776
+15.45,11.1,6.67,0.001837,0.0306984,0.1385195,0.2498688,1.1291,55.9504,197.4358,125.0097
+14.25,13.56,5.6,0.0018503,0.032009,0.1733572,0.3333523,0.8401,48.5556,257.8822,152.0872
 5.22,14.05,8.76,0.0767186,0.0184562,0.0625321,0.1078929,170.6635,33.4413,105.7267,80.4824
 12.69,4.24,7.49,0.0087924,0.1325386,0.1181118,0.1384105,9.2216,229.5643,119.7812,81.6469
-7.82,9.84,14.42,0.0421770,0.0474820,0.0297936,0.0934205,88.3429,98.3484,53.4841,67.0666
-5.72,11.78,13.37,0.0772789,0.0353789,0.0293972,0.0719482,166.3376,67.8034,55.0039,54.5020
+7.82,9.84,14.42,0.042177,0.047482,0.0297936,0.0934205,88.3429,98.3484,53.4841,67.0666
+5.72,11.78,13.37,0.0772789,0.0353789,0.0293972,0.0719482,166.3376,67.8034,55.0039,54.502
 10.54,4.85,8.21,0.0161377,0.1107135,0.0903302,0.1383831,18.5385,195.3177,110.0121,81.7428
-7.07,15.26,4.16,0.0205172,0.0282205,0.1826803,0.2850700,40.8943,38.3046,285.0250,149.7966
-11.94,14.80,15.93,0.0239298,0.0817664,0.0338733,0.1028892,42.4723,87.8776,64.2093,69.8335
-9.81,12.65,4.96,0.0089586,0.0321010,0.1749998,0.3156683,13.1979,47.4165,266.6440,147.5593
-7.21,9.27,9.82,0.0389181,0.0460074,0.0552465,0.0930625,82.2030,85.0636,90.3346,70.8627
+7.07,15.26,4.16,0.0205172,0.0282205,0.1826803,0.28507,40.8943,38.3046,285.025,149.7966
+11.94,14.8,15.93,0.0239298,0.0817664,0.0338733,0.1028892,42.4723,87.8776,64.2093,69.8335
+9.81,12.65,4.96,0.0089586,0.032101,0.1749998,0.3156683,13.1979,47.4165,266.644,147.5593
+7.21,9.27,9.82,0.0389181,0.0460074,0.0552465,0.0930625,82.203,85.0636,90.3346,70.8627
+6.81,9.02,9.65,0.042284433,0.046292119,0.054206595,0.092638396,90.54817,89.06076492,90.38183775,69.0909405

Code/data/width_optimization/5W/ml_FEMdata_B34_H60.csv

@@ -63,6 +63,6 @@ tw1,tw2,tw3,tw4,tw5,Exymax_tw1,Exymax_tw2,Exymax_tw3,Exymax_tw4,Exymax_tw5,Eyyma
 10.08,13.19,12.66,9.43,12.79,0.0182058,0.0173443,0.0443796,0.0671675,0.0281014,0.1455139,27.9228,26.9374,63.7859,95.6849,54.3139,93.6209
 8.96,4.52,5.58,6.91,9.82,0.0182504,0.0894588,0.1212475,0.0631662,0.024132,0.1199809,21.3667,157.3141,204.0845,99.8104,32.8082,61.9136
 5.68,13.91,12.58,11.42,5.93,0.066269,0.0164049,0.0266002,0.0471815,0.0612316,0.1382278,123.0662,24.2749,43.1425,56.6075,108.8461,93.968
-5.74,7.35,8.73,6.54,5,0.0616588,0.0548414,0.0568781,0.0715819,0.0582073,0.1218811,93.0957,93.5817,82.9841,81.4939,72.9981,78.5423
+5.97,7.38,8.56,6.7,5,0.0563488,0.0518778,0.0596584,0.0712373,0.058239,0.1229254,84.9512,90.6505,87.9108,81.0599,74.1754,79.1536
 5.7,7.42,8.45,6.09,5,0.0602438,0.0528245,0.0588412,0.0775535,0.0574888,0.1230745,92.0594,89.7108,87.3874,91.3958,72.3656,77.627
 5.76,7.39,8.42,6.17,5,0.0581466,0.0520777,0.0593142,0.077353,0.0579703,0.1234245,90.1357,89.9638,88.5223,90.3566,72.4717,77.916

Code/models/width_optimization/2W/ml_models/per_output_models_B29_H30/it1/cv_detailed_per_output_B29_H30.csv

+output,model,cv_rmse,std_rmse,cv_rmse_dispersion,cv_mae,cv_r2,BEST_PARAMS,fit_time_sec,gpr_kernel
+exymax_tw1,SVR,0.0024756253409925536,0.003162723363436417,1.2775452371837432,0.0024756253409925536,,"{""svr__C"": 1776.5766649807683, ""svr__epsilon"": 0.00032780432870046914, ""svr__gamma"": 0.006225026900894044}",16.06,
+exymax_tw1,GaussianProcess,0.003544749506220166,0.00339206480908583,0.9569265199511527,0.003544749506220166,,"{""gpr__amplitude"": 74.13954798652198, ""gpr__kernel_type"": ""Matern52"", ""gpr__length_scale"": 1.845551297039509, ""gpr__n_restarts_optimizer"": 1, ""gpr__noise"": 4.912618463633794e-12, ""gpr__rq_alpha"": 0.05514509165905166}",29.56,"2.95**2 * Matern(length_scale=4.58, nu=2.5) + WhiteKernel(noise_level=4.91e-12)"
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Code/models/width_optimization/2W/ml_models/per_output_models_B29_H30/it1/cv_summary_per_output_B29_H30.csv

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Code/models/width_optimization/2W/ml_models/per_output_models_B34_H30/it1/cv_detailed_per_output_B34_H30.csv

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Code/models/width_optimization/2W/ml_models/per_output_models_B34_H30/it1/cv_summary_per_output_B34_H30.csv

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Code/models/width_optimization/2W/rbf_models/per_output_models_B29_H30/it2/rbf_LOO_results.csv

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Code/models/width_optimization/2W/rbf_models/per_output_models_B34_H30/it2/rbf_LOO_results.csv

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Code/models/width_optimization/3W/ml_models/per_output_models_B29_H45/it1/cv_summary_per_output_B29_H45.csv

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Code/models/width_optimization/3W/ml_models/per_output_models_B34_H45/it1/cv_summary_per_output_B34_H45.csv

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Code/models/width_optimization/3W/rbf_models/per_output_models_B29_H45/it2/rbf_LOO_results.csv

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Code/models/width_optimization/3W/rbf_models/per_output_models_B34_H45/it2/rbf_LOO_results.csv

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