pde_name,seed,mse_op,mse_bnd,mse_total,l2re_op,l2re_bnd,l2re,l2re_total,chain_json wave_2d_heterogeneous,4,0.03137037742010589,0.05988893324468688,0.09125931066479277,0.8207094836733172,1.133973403798137,1.3998070356705796,1.9546828874714541,"[{""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 200}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 100}, {""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 2500}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.0001, ""epochs"": 200}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 200}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 1000}]" wave_2d_heterogeneous,8,0.3173122045851322,0.3570845588154039,0.6743967634005361,2.6101950891686587,2.7689500113539616,3.8052861349571714,5.379145100522621,"[{""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 1000}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 2500}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 100}, {""optimizer"": ""Adam"", ""lr"": 0.0001, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 0.5, ""epochs"": 500}, {""optimizer"": ""LBFGS"", ""lr"": 0.5, ""epochs"": 1500}, {""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 300}]" wave_2d_heterogeneous,0,0.47201212685669247,0.5192050510513266,0.9912171779080191,3.1835095597146514,3.3388663440391118,4.613324352368005,6.522375903753764,"[{""optimizer"": ""LBFGS"", ""lr"": 0.5, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 500}, {""optimizer"": ""LBFGS"", ""lr"": 0.5, ""epochs"": 500}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 200}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 2500}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 1500}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 200}, {""optimizer"": ""Adam"", ""lr"": 0.0001, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 200}]" wave_2d_heterogeneous,6,0.4463664386347062,0.49318137861527256,0.9395478172499787,3.09581747063462,3.2541151378329585,4.491475385857096,6.3499326084675785,"[{""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 200}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 100}, {""optimizer"": ""Adam"", ""lr"": 0.0001, ""epochs"": 2500}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 500}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 500}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 1500}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 1500}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.0001, ""epochs"": 300}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 300}]" wave_2d_heterogeneous,2,0.5349914401788701,0.5831553746714535,1.1181468148503235,3.3892452552719234,3.538520543915546,4.899807245198082,6.927765799187469,"[{""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 1500}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 200}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 300}, {""optimizer"": ""Adam"", ""lr"": 0.0001, ""epochs"": 2500}, {""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 2500}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 1500}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 500}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 100}, {""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 1000}]" wave_2d_heterogeneous,9,0.035868973659440063,0.06506010269926508,0.10092907635870516,0.8775847243528793,1.181916926392122,1.472101412712358,2.0595016507450015,"[{""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 500}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 200}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 300}, {""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 2500}, {""optimizer"": ""PSO"", ""lr"": 0.0001, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 300}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 100}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 100}]" wave_2d_heterogeneous,5,0.0667792845357823,0.0982360390231808,0.1650153235589631,1.197430899707636,1.4523289736053173,1.8823124626767238,2.649759873312953,"[{""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 300}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 1500}, {""optimizer"": ""PSO"", ""lr"": 0.0001, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 1500}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 0.5, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 200}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 500}]" wave_2d_heterogeneous,7,0.03319282777262264,0.062455433445344,0.09564826121796664,0.8442123599754675,1.1580163558155938,1.433072360026449,2.002228715791061,"[{""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 500}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 200}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 300}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 0.5, ""epochs"": 100}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 2500}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 1500}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 2500}, {""optimizer"": ""PSO"", ""lr"": 0.0001, ""epochs"": 100}]" wave_2d_heterogeneous,1,0.046884061690813855,0.07524007329502455,0.1221241349858384,1.0033262952125512,1.2710252697263793,1.6193112396781413,2.2743515649389305,"[{""optimizer"": ""Adam"", ""lr"": 0.0001, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 500}, {""optimizer"": ""LBFGS"", ""lr"": 0.5, ""epochs"": 1500}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 1, ""epochs"": 500}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 100}, {""optimizer"": ""PSO"", ""lr"": 0.001, ""epochs"": 200}, {""optimizer"": ""PSO"", ""lr"": 0.0, ""epochs"": 300}, {""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 100}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 2500}]" wave_2d_heterogeneous,3,0.06586945399950214,0.09558968559830641,0.16145913959780855,1.189245760258381,1.4326334813858927,1.8619194854451675,2.6218792416442738,"[{""optimizer"": ""Adam"", ""lr"": 0.0001, ""epochs"": 2500}, {""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 2500}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 1500}, {""optimizer"": ""Adam"", ""lr"": 0.0001, ""epochs"": 100}, {""optimizer"": ""LBFGS"", ""lr"": 0.5, ""epochs"": 1500}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 2500}, {""optimizer"": ""LBFGS"", ""lr"": 0.1, ""epochs"": 1500}, {""optimizer"": ""LBFGS"", ""lr"": 0.5, ""epochs"": 1500}, {""optimizer"": ""Adam"", ""lr"": 0.01, ""epochs"": 2500}, {""optimizer"": ""Adam"", ""lr"": 0.0001, ""epochs"": 1000}]"