{ "models": [ { "id": "TRANSOLVER", "name": "Transolver", "parameters": 985156, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 4219.05114865303, "learning_rate": 1e-05, "mean_relative_U_L2": 0.022532146334577494, "mean_relative_VM_L2": 0.10112772575108145, "mean_physical_objective": 0.005841858891476964, "mean_training_objective": 0.006053101678844541, "mean_peak_relative_VM_L2": 0.126885722270958, "mean_top1_relative_VM_L2": 0.17418674612592816, "mean_high_curvature_relative_VM_L2": 0.10983570644342153, "mean_abs_max_VM_relative_bias": 0.32206721181346376 }, { "step": 4000, "elapsed_seconds": 8484.990520238876, "learning_rate": 1e-05, "mean_relative_U_L2": 0.01895769550749986, "mean_relative_VM_L2": 0.08505163577769123, "mean_physical_objective": 0.00430922442769059, "mean_training_objective": 0.0044915286940522495, "mean_peak_relative_VM_L2": 0.10945756787326637, "mean_top1_relative_VM_L2": 0.14794337987001602, "mean_high_curvature_relative_VM_L2": 0.09167808221068244, "mean_abs_max_VM_relative_bias": 0.28406997598593653 }, { "step": 6000, "elapsed_seconds": 12706.930615186691, "learning_rate": 1e-05, "mean_relative_U_L2": 0.01584847138720917, "mean_relative_VM_L2": 0.0770598324001217, "mean_physical_objective": 0.0036456861138986067, "mean_training_objective": 0.00380297246738337, "mean_peak_relative_VM_L2": 0.09927394053974395, "mean_top1_relative_VM_L2": 0.1318028621449292, "mean_high_curvature_relative_VM_L2": 0.08284557442369397, "mean_abs_max_VM_relative_bias": 0.2514053385592508 } ], "actual_best_epoch": 6000, "active_seconds": 12708.391074895859, "timing": { "training_wall_seconds": 11899.96951334895, "evaluation_wall_seconds": 2.6865739810009472, "checkpoint_wall_seconds": 22.942980738993782 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "TRANSOLVER_PP", "name": "Transolver++", "parameters": 858188, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 5917.478266716003, "learning_rate": 1e-05, "mean_relative_U_L2": 0.0224506112631501, "mean_relative_VM_L2": 0.11263933302519176, "mean_physical_objective": 0.0070368674632686826, "mean_training_objective": 0.007284078176598996, "mean_peak_relative_VM_L2": 0.13698181085935796, "mean_top1_relative_VM_L2": 0.1849473296602934, "mean_high_curvature_relative_VM_L2": 0.1238289307889993, "mean_abs_max_VM_relative_bias": 0.3215847960790887 }, { "step": 4000, "elapsed_seconds": 11842.723372459412, "learning_rate": 1e-05, "mean_relative_U_L2": 0.019723000866584888, "mean_relative_VM_L2": 0.09014869295232486, "mean_physical_objective": 0.004746073617630524, "mean_training_objective": 0.004933823156170547, "mean_peak_relative_VM_L2": 0.11224478696998537, "mean_top1_relative_VM_L2": 0.14984763825019817, "mean_high_curvature_relative_VM_L2": 0.09733720638726792, "mean_abs_max_VM_relative_bias": 0.28812278245873857 }, { "step": 6000, "elapsed_seconds": 15827.06204032898, "learning_rate": 1e-05, "mean_relative_U_L2": 0.015568577318549026, "mean_relative_VM_L2": 0.07933768333400029, "mean_physical_objective": 0.0038054111387507855, "mean_training_objective": 0.0039705822884570805, "mean_peak_relative_VM_L2": 0.09925317393715927, "mean_top1_relative_VM_L2": 0.1305306995928603, "mean_high_curvature_relative_VM_L2": 0.08535497761422631, "mean_abs_max_VM_relative_bias": 0.24270680380936271 } ], "actual_best_epoch": 6000, "active_seconds": 15828.799926280975, "timing": { "training_wall_seconds": 14791.267111811992, "evaluation_wall_seconds": 1.9589676419982425, "checkpoint_wall_seconds": 24.45549243601141 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "TFNO_R1", "name": "TFNO", "parameters": 514685, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 907.1405291557312, "learning_rate": 1e-05, "mean_relative_U_L2": 0.04051384775051002, "mean_relative_VM_L2": 0.13779340102908116, "mean_physical_objective": 0.010855079928713743, "mean_training_objective": 0.011203128565102815, "mean_peak_relative_VM_L2": 0.16773140080488627, "mean_top1_relative_VM_L2": 0.23921706075137078, "mean_high_curvature_relative_VM_L2": 0.1554083432574785, "mean_abs_max_VM_relative_bias": 0.29933619370900655 }, { "step": 4000, "elapsed_seconds": 1816.5875236988068, "learning_rate": 1e-05, "mean_relative_U_L2": 0.036424000631157805, "mean_relative_VM_L2": 0.1308668690311998, "mean_physical_objective": 0.00974861324348433, "mean_training_objective": 0.010067892586812377, "mean_peak_relative_VM_L2": 0.15934506533101614, "mean_top1_relative_VM_L2": 0.22639207449057408, "mean_high_curvature_relative_VM_L2": 0.14766338569067133, "mean_abs_max_VM_relative_bias": 0.2901022249949202 }, { "step": 6000, "elapsed_seconds": 2727.1676025390625, "learning_rate": 1e-05, "mean_relative_U_L2": 0.03166440927199032, "mean_relative_VM_L2": 0.12360863110939894, "mean_physical_objective": 0.008647378798569649, "mean_training_objective": 0.00895433290861547, "mean_peak_relative_VM_L2": 0.15134072754069222, "mean_top1_relative_VM_L2": 0.21353480480691167, "mean_high_curvature_relative_VM_L2": 0.13962864011570347, "mean_abs_max_VM_relative_bias": 0.2781188145937906 } ], "actual_best_epoch": 6000, "active_seconds": 2728.6229825019836, "timing": { "training_wall_seconds": 2482.6258131450286, "evaluation_wall_seconds": 0.9221315779996075, "checkpoint_wall_seconds": 17.725689458995475 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "UNO", "name": "UNO", "parameters": 7331021, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 3933.2654328346252, "learning_rate": 1e-05, "mean_relative_U_L2": 0.03297896948288419, "mean_relative_VM_L2": 0.10364768194046592, "mean_physical_objective": 0.0064102698013647555, "mean_training_objective": 0.00665731324115768, "mean_peak_relative_VM_L2": 0.1245991106088877, "mean_top1_relative_VM_L2": 0.17642508406195434, "mean_high_curvature_relative_VM_L2": 0.11365274813503765, "mean_abs_max_VM_relative_bias": 0.2584096629193754 }, { "step": 4000, "elapsed_seconds": 6192.595845222473, "learning_rate": 1e-05, "mean_relative_U_L2": 0.029618069474178426, "mean_relative_VM_L2": 0.09880414122045036, "mean_physical_objective": 0.005821899519401834, "mean_training_objective": 0.006072528811637312, "mean_peak_relative_VM_L2": 0.12035455457495443, "mean_top1_relative_VM_L2": 0.1697428946128679, "mean_high_curvature_relative_VM_L2": 0.10813614940975887, "mean_abs_max_VM_relative_bias": 0.25107119897477975 }, { "step": 6000, "elapsed_seconds": 7850.590065002441, "learning_rate": 1e-05, "mean_relative_U_L2": 0.02588298214086272, "mean_relative_VM_L2": 0.09407197209680437, "mean_physical_objective": 0.005271759446896726, "mean_training_objective": 0.005523444327991456, "mean_peak_relative_VM_L2": 0.11680267359371385, "mean_top1_relative_VM_L2": 0.16414463888521144, "mean_high_curvature_relative_VM_L2": 0.10291710910464394, "mean_abs_max_VM_relative_bias": 0.2421881603097913 } ], "actual_best_epoch": 6000, "active_seconds": 7854.267563819885, "timing": { "training_wall_seconds": 7124.983903052955, "evaluation_wall_seconds": 1.6466279990036128, "checkpoint_wall_seconds": 130.98388558602528 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "DEEPONET", "name": "DEEPONET", "parameters": 419332, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 918.6383187770844, "learning_rate": 1e-05, "mean_relative_U_L2": 0.07742522144666827, "mean_relative_VM_L2": 0.2672769199324233, "mean_physical_objective": 0.039894102692253144, "mean_training_objective": 0.040620716847479345, "mean_peak_relative_VM_L2": 0.38338828047296336, "mean_top1_relative_VM_L2": 0.5105152684137668, "mean_high_curvature_relative_VM_L2": 0.299160345974485, "mean_abs_max_VM_relative_bias": 0.5267163127767087 }, { "step": 4000, "elapsed_seconds": 1842.1267819404602, "learning_rate": 1e-05, "mean_relative_U_L2": 0.06597210849739406, "mean_relative_VM_L2": 0.2590731175378636, "mean_physical_objective": 0.036798978254144535, "mean_training_objective": 0.037512190826237204, "mean_peak_relative_VM_L2": 0.36410195829806113, "mean_top1_relative_VM_L2": 0.4890919315622032, "mean_high_curvature_relative_VM_L2": 0.29015161413457197, "mean_abs_max_VM_relative_bias": 0.5258404280029183 }, { "step": 6000, "elapsed_seconds": 5211.097071886063, "learning_rate": 1e-05, "mean_relative_U_L2": 0.05681766394191754, "mean_relative_VM_L2": 0.22896707090673735, "mean_physical_objective": 0.028619886966654885, "mean_training_objective": 0.029655064502730966, "mean_peak_relative_VM_L2": 0.3107236804866308, "mean_top1_relative_VM_L2": 0.4332856020686635, "mean_high_curvature_relative_VM_L2": 0.2618749808811966, "mean_abs_max_VM_relative_bias": 0.5165214172200058 } ], "actual_best_epoch": 6000, "active_seconds": 5212.274404287338, "timing": { "training_wall_seconds": 4721.424880720926, "evaluation_wall_seconds": 1.4783749020025425, "checkpoint_wall_seconds": 11.327019031974487 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "GNOT", "name": "GNOT", "parameters": 3877268, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 7390.513946533203, "learning_rate": 1e-05, "mean_relative_U_L2": 0.018300943568341686, "mean_relative_VM_L2": 0.07789268960238477, "mean_physical_objective": 0.0037426801070429097, "mean_training_objective": 0.0038587182585615664, "mean_peak_relative_VM_L2": 0.10099407399582735, "mean_top1_relative_VM_L2": 0.13746724093153556, "mean_high_curvature_relative_VM_L2": 0.08576920708697461, "mean_abs_max_VM_relative_bias": 0.2595581952517835 }, { "step": 4000, "elapsed_seconds": 15718.751538038254, "learning_rate": 1e-05, "mean_relative_U_L2": 0.01571675582014364, "mean_relative_VM_L2": 0.07245155899835126, "mean_physical_objective": 0.00331573653551955, "mean_training_objective": 0.003428301785606891, "mean_peak_relative_VM_L2": 0.09499250032598708, "mean_top1_relative_VM_L2": 0.12839962785778114, "mean_high_curvature_relative_VM_L2": 0.07968232001450941, "mean_abs_max_VM_relative_bias": 0.24044095233180554 }, { "step": 6000, "elapsed_seconds": 24180.05617427826, "learning_rate": 1e-05, "mean_relative_U_L2": 0.013299698982213459, "mean_relative_VM_L2": 0.06766446583521905, "mean_physical_objective": 0.0029674837083720302, "mean_training_objective": 0.003075996425468475, "mean_peak_relative_VM_L2": 0.08934931278059213, "mean_top1_relative_VM_L2": 0.1192654936180492, "mean_high_curvature_relative_VM_L2": 0.07443516492395827, "mean_abs_max_VM_relative_bias": 0.21522664436889186 } ], "actual_best_epoch": 6000, "active_seconds": 24182.460152864456, "timing": { "training_wall_seconds": 22046.46999874604, "evaluation_wall_seconds": 3.931555491992185, "checkpoint_wall_seconds": 74.37798933298109 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "ONO", "name": "ONO", "parameters": 1608452, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 7366.3029363155365, "learning_rate": 1e-05, "mean_relative_U_L2": 1.0788501110235427, "mean_relative_VM_L2": 0.8494746373972516, "mean_physical_objective": 0.9720800880762873, "mean_training_objective": 1.0664058327674866, "mean_peak_relative_VM_L2": 0.6814846778228455, "mean_top1_relative_VM_L2": 0.7351318875302616, "mean_high_curvature_relative_VM_L2": 0.7013597432961627, "mean_abs_max_VM_relative_bias": 0.8050917455682722 }, { "step": 4000, "elapsed_seconds": 14650.10287284851, "learning_rate": 1e-05, "mean_relative_U_L2": 1.057588948865434, "mean_relative_VM_L2": 0.874238730563859, "mean_physical_objective": 0.9736194246008456, "mean_training_objective": 1.0566529124975204, "mean_peak_relative_VM_L2": 0.6747167480267664, "mean_top1_relative_VM_L2": 0.7261316181987836, "mean_high_curvature_relative_VM_L2": 0.7123022632054863, "mean_abs_max_VM_relative_bias": 0.8052383315902307 }, { "step": 6000, "elapsed_seconds": 21500.262932777405, "learning_rate": 1e-05, "mean_relative_U_L2": 1.060003319774934, "mean_relative_VM_L2": 0.83020008986862, "mean_physical_objective": 0.9301820943907323, "mean_training_objective": 1.01879443526268, "mean_peak_relative_VM_L2": 0.7533052258828904, "mean_top1_relative_VM_L2": 0.7921474836465568, "mean_high_curvature_relative_VM_L2": 0.7433992584635709, "mean_abs_max_VM_relative_bias": 0.846570150610723 } ], "actual_best_epoch": 6000, "active_seconds": 21501.57130265236, "timing": { "training_wall_seconds": 19659.986372301144, "evaluation_wall_seconds": 4.920138807003241, "checkpoint_wall_seconds": 28.153608442968107 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "GNO", "name": "GNO", "parameters": 32740, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 2335.6266148090363, "learning_rate": 1e-05, "mean_relative_U_L2": 0.08568709349624297, "mean_relative_VM_L2": 0.254652601110749, "mean_physical_objective": 0.03729104435027695, "mean_training_objective": 0.037927762046456336, "mean_peak_relative_VM_L2": 0.3622431438153026, "mean_top1_relative_VM_L2": 0.48842572319824784, "mean_high_curvature_relative_VM_L2": 0.28553123341939146, "mean_abs_max_VM_relative_bias": 0.5258502406217354 }, { "step": 4000, "elapsed_seconds": 4500.550173521042, "learning_rate": 1e-05, "mean_relative_U_L2": 0.08465960058505491, "mean_relative_VM_L2": 0.24771477320780452, "mean_physical_objective": 0.03530033591138473, "mean_training_objective": 0.03614993020892143, "mean_peak_relative_VM_L2": 0.34935700224276023, "mean_top1_relative_VM_L2": 0.4724184625280524, "mean_high_curvature_relative_VM_L2": 0.2765958573688508, "mean_abs_max_VM_relative_bias": 0.5238312197489046 }, { "step": 6000, "elapsed_seconds": 6676.301885604858, "learning_rate": 1e-05, "mean_relative_U_L2": 0.08300587350405644, "mean_relative_VM_L2": 0.2287324163262756, "mean_physical_objective": 0.030341100552121907, "mean_training_objective": 0.03171730553731322, "mean_peak_relative_VM_L2": 0.3165352818005356, "mean_top1_relative_VM_L2": 0.43451738678385876, "mean_high_curvature_relative_VM_L2": 0.25229379345912994, "mean_abs_max_VM_relative_bias": 0.5011996854182516 } ], "actual_best_epoch": 6000, "active_seconds": 6677.429677248001, "timing": { "training_wall_seconds": 6075.678484334872, "evaluation_wall_seconds": 1.940230430001975, "checkpoint_wall_seconds": 4.771317493992683 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "GINO", "name": "GINO", "parameters": 1616150, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 2154.456971168518, "learning_rate": 1e-05, "mean_relative_U_L2": 0.10513400126901251, "mean_relative_VM_L2": 0.2074950636450889, "mean_physical_objective": 0.02754978322376244, "mean_training_objective": 0.02941135996952653, "mean_peak_relative_VM_L2": 0.2618956674900816, "mean_top1_relative_VM_L2": 0.3647452711818023, "mean_high_curvature_relative_VM_L2": 0.22650628793538502, "mean_abs_max_VM_relative_bias": 0.3850620593216006 }, { "step": 4000, "elapsed_seconds": 4292.301022052765, "learning_rate": 1e-05, "mean_relative_U_L2": 0.10062943209471002, "mean_relative_VM_L2": 0.19994816759505227, "mean_physical_objective": 0.025511262412943457, "mean_training_objective": 0.027333085285499693, "mean_peak_relative_VM_L2": 0.25016726884721735, "mean_top1_relative_VM_L2": 0.35009306945176155, "mean_high_curvature_relative_VM_L2": 0.21777043514168853, "mean_abs_max_VM_relative_bias": 0.3683868417248254 }, { "step": 6000, "elapsed_seconds": 6313.82492184639, "learning_rate": 1e-05, "mean_relative_U_L2": 0.09383930776681186, "mean_relative_VM_L2": 0.19144156813759644, "mean_physical_objective": 0.023172540622149858, "mean_training_objective": 0.02487630108371377, "mean_peak_relative_VM_L2": 0.23654466717030428, "mean_top1_relative_VM_L2": 0.33219957063092587, "mean_high_curvature_relative_VM_L2": 0.20829346652635086, "mean_abs_max_VM_relative_bias": 0.35018360039675767 } ], "actual_best_epoch": 6000, "active_seconds": 6315.387322187424, "timing": { "training_wall_seconds": 5725.769611370815, "evaluation_wall_seconds": 2.803691115004767, "checkpoint_wall_seconds": 26.622677370964084 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "FNOGNO", "name": "FNOGNO", "parameters": 1619588, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 1739.6020410060883, "learning_rate": 1e-05, "mean_relative_U_L2": 0.10370207045695486, "mean_relative_VM_L2": 0.20545646311809698, "mean_physical_objective": 0.026985062917990594, "mean_training_objective": 0.02893731100484729, "mean_peak_relative_VM_L2": 0.26072708430555613, "mean_top1_relative_VM_L2": 0.3636813288934076, "mean_high_curvature_relative_VM_L2": 0.22482451486218102, "mean_abs_max_VM_relative_bias": 0.3893267097020373 }, { "step": 4000, "elapsed_seconds": 3680.0209741592407, "learning_rate": 1e-05, "mean_relative_U_L2": 0.10070893280441917, "mean_relative_VM_L2": 0.19504202268971732, "mean_physical_objective": 0.024533890939194725, "mean_training_objective": 0.026446223771199585, "mean_peak_relative_VM_L2": 0.24655719918883517, "mean_top1_relative_VM_L2": 0.3462662561822687, "mean_high_curvature_relative_VM_L2": 0.2129860247149958, "mean_abs_max_VM_relative_bias": 0.36630601176925615 }, { "step": 6000, "elapsed_seconds": 5617.250406503677, "learning_rate": 1e-05, "mean_relative_U_L2": 0.09466496891592327, "mean_relative_VM_L2": 0.18480547805841785, "mean_physical_objective": 0.021961439232621394, "mean_training_objective": 0.023733128048479556, "mean_peak_relative_VM_L2": 0.23139075825464647, "mean_top1_relative_VM_L2": 0.32619003035687866, "mean_high_curvature_relative_VM_L2": 0.20199804941392735, "mean_abs_max_VM_relative_bias": 0.34223727475774696 } ], "actual_best_epoch": 6000, "active_seconds": 5619.020637989044, "timing": { "training_wall_seconds": 5182.079742454174, "evaluation_wall_seconds": 1.8342036640096921, "checkpoint_wall_seconds": 29.69699532296363 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "GINOT", "name": "GINOT", "parameters": 2862917, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 2546.139021873474, "learning_rate": 1e-05, "mean_relative_U_L2": 0.056470888219432205, "mean_relative_VM_L2": 0.09359718042195794, "mean_physical_objective": 0.006600439488008125, "mean_training_objective": 0.00664885260630399, "mean_peak_relative_VM_L2": 0.10481946542464156, "mean_top1_relative_VM_L2": 0.14003125950488887, "mean_high_curvature_relative_VM_L2": 0.09857665637321064, "mean_abs_max_VM_relative_bias": 0.1946053953319268 }, { "step": 4000, "elapsed_seconds": 5096.328274488449, "learning_rate": 1e-05, "mean_relative_U_L2": 0.03991072074598188, "mean_relative_VM_L2": 0.08449015635717363, "mean_physical_objective": 0.004938407787339456, "mean_training_objective": 0.004995443427469581, "mean_peak_relative_VM_L2": 0.09537988454876199, "mean_top1_relative_VM_L2": 0.12609241928706946, "mean_high_curvature_relative_VM_L2": 0.08846611919612471, "mean_abs_max_VM_relative_bias": 0.18105461138584705 }, { "step": 6000, "elapsed_seconds": 8061.09375834465, "learning_rate": 1e-05, "mean_relative_U_L2": 0.03237500686296317, "mean_relative_VM_L2": 0.07911358111945711, "mean_physical_objective": 0.004220311930211522, "mean_training_objective": 0.004274242161773145, "mean_peak_relative_VM_L2": 0.08898056312826735, "mean_top1_relative_VM_L2": 0.11631118333647925, "mean_high_curvature_relative_VM_L2": 0.08246835589115087, "mean_abs_max_VM_relative_bias": 0.17193858289948155 } ], "actual_best_epoch": 6000, "active_seconds": 8062.906538486481, "timing": { "training_wall_seconds": 7534.849471063988, "evaluation_wall_seconds": 2.3203652710021743, "checkpoint_wall_seconds": 43.795991900000814 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "PCNO", "name": "PCNO", "parameters": 3008996, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 2649.1868522167206, "learning_rate": 1e-05, "mean_relative_U_L2": 0.0524463485758316, "mean_relative_VM_L2": 0.10856000491914464, "mean_physical_objective": 0.007762709305360041, "mean_training_objective": 0.007982227765023709, "mean_peak_relative_VM_L2": 0.13991441676008215, "mean_top1_relative_VM_L2": 0.20302886964012154, "mean_high_curvature_relative_VM_L2": 0.12213884140977996, "mean_abs_max_VM_relative_bias": 0.3218828317375617 }, { "step": 4000, "elapsed_seconds": 4188.035880804062, "learning_rate": 1e-05, "mean_relative_U_L2": 0.046204531118321415, "mean_relative_VM_L2": 0.10147457883523374, "mean_physical_objective": 0.0067197240049448465, "mean_training_objective": 0.006898656324483454, "mean_peak_relative_VM_L2": 0.13098270584730826, "mean_top1_relative_VM_L2": 0.18982704062697692, "mean_high_curvature_relative_VM_L2": 0.11372660874477918, "mean_abs_max_VM_relative_bias": 0.3146166441179709 }, { "step": 6000, "elapsed_seconds": 5748.314550876617, "learning_rate": 1e-05, "mean_relative_U_L2": 0.04096963117961368, "mean_relative_VM_L2": 0.09486051991460556, "mean_physical_objective": 0.005855018534561654, "mean_training_objective": 0.005998989404179156, "mean_peak_relative_VM_L2": 0.1221157553763212, "mean_top1_relative_VM_L2": 0.17600037493787626, "mean_high_curvature_relative_VM_L2": 0.10552431723136382, "mean_abs_max_VM_relative_bias": 0.30107130692995343 } ], "actual_best_epoch": 6000, "active_seconds": 5750.200560569763, "timing": { "training_wall_seconds": 5411.600224746965, "evaluation_wall_seconds": 1.7584012169993457, "checkpoint_wall_seconds": 34.83914453199074 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "LSM", "name": "LSM", "parameters": 937661, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 1242.7394711971283, "learning_rate": 1e-05, "mean_relative_U_L2": 0.2634382958611992, "mean_relative_VM_L2": 0.36027038906923026, "mean_physical_objective": 0.1121911505938192, "mean_training_objective": 0.12206704542040825, "mean_peak_relative_VM_L2": 0.3543323361573492, "mean_top1_relative_VM_L2": 0.3792594541106638, "mean_high_curvature_relative_VM_L2": 0.3617791382355322, "mean_abs_max_VM_relative_bias": 0.24011987987536765 }, { "step": 4000, "elapsed_seconds": 2460.1375164985657, "learning_rate": 1e-05, "mean_relative_U_L2": 0.29395597859679207, "mean_relative_VM_L2": 0.4094198675814771, "mean_physical_objective": 0.1451273970096748, "mean_training_objective": 0.15860270597040654, "mean_peak_relative_VM_L2": 0.3992858516786309, "mean_top1_relative_VM_L2": 0.4134809016431906, "mean_high_curvature_relative_VM_L2": 0.4081191055670937, "mean_abs_max_VM_relative_bias": 0.21173490687299806 }, { "step": 6000, "elapsed_seconds": 4669.791474342346, "learning_rate": 1e-05, "mean_relative_U_L2": 0.29585942547875826, "mean_relative_VM_L2": 0.45813669907554216, "mean_physical_objective": 0.17046400840566062, "mean_training_objective": 0.1927578268572688, "mean_peak_relative_VM_L2": 0.42234920049698665, "mean_top1_relative_VM_L2": 0.41904823423286947, "mean_high_curvature_relative_VM_L2": 0.4495763592023831, "mean_abs_max_VM_relative_bias": 0.22731831476942554 } ], "actual_best_epoch": 2000, "active_seconds": 4669.993105649948, "timing": { "training_wall_seconds": 4361.295850479021, "evaluation_wall_seconds": 2.361916936999478, "checkpoint_wall_seconds": 18.035774642995648 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "OFORMER", "name": "OFormer", "parameters": 1363588, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 2059.726085424423, "learning_rate": 1e-05, "mean_relative_U_L2": 0.015944233354649947, "mean_relative_VM_L2": 0.07842270476254816, "mean_physical_objective": 0.0037424794438129794, "mean_training_objective": 0.0039039521419908852, "mean_peak_relative_VM_L2": 0.09993769946815088, "mean_top1_relative_VM_L2": 0.13222769763019981, "mean_high_curvature_relative_VM_L2": 0.08463611610352632, "mean_abs_max_VM_relative_bias": 0.22330078949468138 }, { "step": 4000, "elapsed_seconds": 3813.5359015464783, "learning_rate": 1e-05, "mean_relative_U_L2": 0.013957893560211149, "mean_relative_VM_L2": 0.07228724801919142, "mean_physical_objective": 0.0032847927911631284, "mean_training_objective": 0.003430829755961895, "mean_peak_relative_VM_L2": 0.09365296248792085, "mean_top1_relative_VM_L2": 0.12359391836041153, "mean_high_curvature_relative_VM_L2": 0.07836404131270612, "mean_abs_max_VM_relative_bias": 0.19814784619874246 }, { "step": 6000, "elapsed_seconds": 5564.61585021019, "learning_rate": 1e-05, "mean_relative_U_L2": 0.01171340414127543, "mean_relative_VM_L2": 0.06815725516190962, "mean_physical_objective": 0.0029884909479170993, "mean_training_objective": 0.0031219573924317957, "mean_peak_relative_VM_L2": 0.08931497514836825, "mean_top1_relative_VM_L2": 0.11820077853806199, "mean_high_curvature_relative_VM_L2": 0.07417905248227072, "mean_abs_max_VM_relative_bias": 0.18434775526823366 } ], "actual_best_epoch": 6000, "active_seconds": 5565.930490016937, "timing": { "training_wall_seconds": 5133.974368896985, "evaluation_wall_seconds": 0.9227903659993899, "checkpoint_wall_seconds": 21.880358132004403 }, "source_run": "m01_operator_zoo6000_v1" }, { "id": "TS3_MSE", "name": "TS3", "parameters": 981348, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 3057.070980787277, "learning_rate": 1e-05, "mean_relative_U_L2": 0.021752312555760635, "mean_relative_VM_L2": 0.10179617068800847, "mean_physical_objective": 0.005883382688809618, "mean_training_objective": 0.006097473052795977, "mean_peak_relative_VM_L2": 0.12373643983194602, "mean_top1_relative_VM_L2": 0.16661296599372, "mean_high_curvature_relative_VM_L2": 0.11053000303783118, "mean_abs_max_VM_relative_bias": 0.3081030315481663 }, { "step": 4000, "elapsed_seconds": 6094.642133951187, "learning_rate": 1e-05, "mean_relative_U_L2": 0.017484252339273074, "mean_relative_VM_L2": 0.08257338503778708, "mean_physical_objective": 0.004084216180797506, "mean_training_objective": 0.004266876564361155, "mean_peak_relative_VM_L2": 0.10338207417886307, "mean_top1_relative_VM_L2": 0.13849405878368332, "mean_high_curvature_relative_VM_L2": 0.08879977572332634, "mean_abs_max_VM_relative_bias": 0.2672112096683684 }, { "step": 6000, "elapsed_seconds": 9133.51987028122, "learning_rate": 1e-05, "mean_relative_U_L2": 0.015003784236122785, "mean_relative_VM_L2": 0.07668622585452116, "mean_physical_objective": 0.0036007848021522514, "mean_training_objective": 0.00375968356966041, "mean_peak_relative_VM_L2": 0.10022537740240374, "mean_top1_relative_VM_L2": 0.13432556336314982, "mean_high_curvature_relative_VM_L2": 0.08246307382609779, "mean_abs_max_VM_relative_bias": 0.24474378331504046 } ], "actual_best_epoch": 6000, "active_seconds": 9134.852774858475, "timing": {}, "source_run": "m01_loss_geometry_capacity6000_v1" }, { "id": "FNO_MSE_M07", "name": "FNO M07", "parameters": 981310, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 534.0625386238098, "learning_rate": 1e-05, "mean_relative_U_L2": 0.03160341122297576, "mean_relative_VM_L2": 0.13620958728039995, "mean_physical_objective": 0.010386303324451045, "mean_training_objective": 0.01070344541221857, "mean_peak_relative_VM_L2": 0.16902367014846548, "mean_top1_relative_VM_L2": 0.2444562428538947, "mean_high_curvature_relative_VM_L2": 0.15577443216161063, "mean_abs_max_VM_relative_bias": 0.30969424322805983 }, { "step": 4000, "elapsed_seconds": 1069.8079137802124, "learning_rate": 1e-05, "mean_relative_U_L2": 0.028972496218111977, "mean_relative_VM_L2": 0.12979783687846305, "mean_physical_objective": 0.009439395932097286, "mean_training_objective": 0.009740194480400532, "mean_peak_relative_VM_L2": 0.16134706211284114, "mean_top1_relative_VM_L2": 0.2330248945152884, "mean_high_curvature_relative_VM_L2": 0.14852546549764506, "mean_abs_max_VM_relative_bias": 0.30426579331863557 }, { "step": 6000, "elapsed_seconds": 1604.3515911102295, "learning_rate": 1e-05, "mean_relative_U_L2": 0.02582199021441427, "mean_relative_VM_L2": 0.12225842557415798, "mean_physical_objective": 0.008380408530744541, "mean_training_objective": 0.008675689657684416, "mean_peak_relative_VM_L2": 0.15200638353514706, "mean_top1_relative_VM_L2": 0.21905275783529454, "mean_high_curvature_relative_VM_L2": 0.1394941364951611, "mean_abs_max_VM_relative_bias": 0.29833282061933547 } ], "actual_best_epoch": 6000, "active_seconds": 1605.598204612732, "timing": {}, "source_run": "m01_loss_geometry_capacity6000_v1" }, { "id": "GNO_1M", "name": "GNO_1M", "parameters": 1002885, "state": "用户在4852步终止", "saved_step": 4852, "evaluations": [ { "step": 2000, "elapsed_seconds": 15524.801514148712, "learning_rate": 1e-05, "mean_relative_U_L2": 0.033723776468152264, "mean_relative_VM_L2": 0.1446703204468956, "mean_physical_objective": 0.011540209380387736, "mean_training_objective": 0.012016247352585196, "mean_peak_relative_VM_L2": 0.17524062745065322, "mean_top1_relative_VM_L2": 0.25442579862082826, "mean_high_curvature_relative_VM_L2": 0.1584336479610412, "mean_abs_max_VM_relative_bias": 0.3641721540514936 }, { "step": 4000, "elapsed_seconds": 43557.479200839996, "learning_rate": 1e-05, "mean_relative_U_L2": 0.030816099770231885, "mean_relative_VM_L2": 0.13641109931159237, "mean_physical_objective": 0.010274040922240834, "mean_training_objective": 0.010698419460095466, "mean_peak_relative_VM_L2": 0.16426381097309056, "mean_top1_relative_VM_L2": 0.23861030633585326, "mean_high_curvature_relative_VM_L2": 0.14976414657254816, "mean_abs_max_VM_relative_bias": 0.35251744782155187 } ], "actual_best_epoch": null, "active_seconds": null, "timing": { "training_wall_seconds": 53693.092536905, "evaluation_wall_seconds": 3.6585910340018017, "checkpoint_wall_seconds": 10.736695628978168 }, "source_run": "m01_operator_matched1m_v1" }, { "id": "GNOT_1M", "name": "GNOT_1M", "parameters": 984276, "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 7773.531249523163, "learning_rate": 1e-05, "mean_relative_U_L2": 0.02561658423347698, "mean_relative_VM_L2": 0.10074069863568832, "mean_physical_objective": 0.005854490525931427, "mean_training_objective": 0.0060186296002939345, "mean_peak_relative_VM_L2": 0.12107335200801846, "mean_top1_relative_VM_L2": 0.16300677202138472, "mean_high_curvature_relative_VM_L2": 0.11058106771247318, "mean_abs_max_VM_relative_bias": 0.28740416968391297 }, { "step": 4000, "elapsed_seconds": 15483.901848077774, "learning_rate": 1e-05, "mean_relative_U_L2": 0.024802806143774354, "mean_relative_VM_L2": 0.08585128056929052, "mean_physical_objective": 0.004501805642540673, "mean_training_objective": 0.004629943717736751, "mean_peak_relative_VM_L2": 0.10710495124036756, "mean_top1_relative_VM_L2": 0.14337964540550627, "mean_high_curvature_relative_VM_L2": 0.09325465912845993, "mean_abs_max_VM_relative_bias": 0.26497407863883515 }, { "step": 6000, "elapsed_seconds": 25425.61022567749, "learning_rate": 1e-05, "mean_relative_U_L2": 0.019576281435727195, "mean_relative_VM_L2": 0.07605477139504135, "mean_physical_objective": 0.0036366966501259015, "mean_training_objective": 0.003765300376107916, "mean_peak_relative_VM_L2": 0.09841209421012789, "mean_top1_relative_VM_L2": 0.13202649699546826, "mean_high_curvature_relative_VM_L2": 0.08288317554245289, "mean_abs_max_VM_relative_bias": 0.23831807988676754 } ], "actual_best_epoch": 6000, "active_seconds": 25429.195204734802, "timing": { "training_wall_seconds": 23396.72181780199, "evaluation_wall_seconds": 4.98906414999783, "checkpoint_wall_seconds": 52.71525882899769 }, "source_run": "m01_operator_matched1m_v1" }, { "id": "WNO_980K", "name": "WNO_980K", "parameters": 979968, "state": "2000步条件停止", "saved_step": 2000, "evaluations": [ { "step": 2000, "elapsed_seconds": 1925.7715303897858, "learning_rate": 1e-05, "mean_relative_U_L2": 0.059074860265293884, "mean_relative_VM_L2": 0.18748457116649905, "mean_physical_objective": 0.020216389635949454, "mean_training_objective": 0.02063926514238119, "mean_peak_relative_VM_L2": 0.24333096414109642, "mean_top1_relative_VM_L2": 0.3489873306620873, "mean_high_curvature_relative_VM_L2": 0.20610674634103132, "mean_abs_max_VM_relative_bias": 0.3787366299066567 } ], "actual_best_epoch": null, "active_seconds": 1927.0693776607513, "timing": { "training_wall_seconds": 1833.098502758985, "evaluation_wall_seconds": 0.5615569960064022, "checkpoint_wall_seconds": 6.055144202022348 }, "source_run": "m01_operator_matched1m_v1" }, { "id": "GAOT_980K", "name": "GAOT_980K", "parameters": 980590, "state": "2000步条件停止", "saved_step": 2000, "evaluations": [ { "step": 2000, "elapsed_seconds": 3975.548234462738, "learning_rate": 1e-05, "mean_relative_U_L2": 0.04864683557040428, "mean_relative_VM_L2": 0.21215521668282777, "mean_physical_objective": 0.02417618788412447, "mean_training_objective": 0.02522614817135036, "mean_peak_relative_VM_L2": 0.279566154915336, "mean_top1_relative_VM_L2": 0.3888472403928107, "mean_high_curvature_relative_VM_L2": 0.2319278688450696, "mean_abs_max_VM_relative_bias": 0.38108641286129674 } ], "actual_best_epoch": null, "active_seconds": 3976.886334180832, "timing": { "training_wall_seconds": 3776.742114414854, "evaluation_wall_seconds": 0.85110915399855, "checkpoint_wall_seconds": 12.353617661974567 }, "source_run": "m01_operator_matched1m_v1" }, { "id": "OFORMER_1M", "name": "OFormer_1M", "parameters": 991359, "source_run": "m01_oformer_matched1m_v1", "state": "6000步完成", "saved_step": 6000, "evaluations": [ { "step": 2000, "elapsed_seconds": 1779.1069099903107, "learning_rate": 1e-05, "mean_relative_U_L2": 0.016238872005996035, "mean_relative_VM_L2": 0.07783354289400976, "mean_physical_objective": 0.003715172093202479, "mean_training_objective": 0.0038796620443463325, "mean_peak_relative_VM_L2": 0.09934194199401844, "mean_top1_relative_VM_L2": 0.13027329680654956, "mean_high_curvature_relative_VM_L2": 0.08372222475137435, "mean_abs_max_VM_relative_bias": 0.2329529139853986 }, { "step": 4000, "elapsed_seconds": 3558.7128257751465, "learning_rate": 1e-05, "mean_relative_U_L2": 0.013830555920868645, "mean_relative_VM_L2": 0.0726362884005284, "mean_physical_objective": 0.0033115526815909306, "mean_training_objective": 0.0034595733275637032, "mean_peak_relative_VM_L2": 0.09383576712553694, "mean_top1_relative_VM_L2": 0.12276092335836823, "mean_high_curvature_relative_VM_L2": 0.07840163398918179, "mean_abs_max_VM_relative_bias": 0.20586328475211713 }, { "step": 6000, "elapsed_seconds": 5477.159104347229, "learning_rate": 1e-05, "mean_relative_U_L2": 0.011748058996396788, "mean_relative_VM_L2": 0.06879592596992438, "mean_physical_objective": 0.003028811627324031, "mean_training_objective": 0.0031602122413460164, "mean_peak_relative_VM_L2": 0.0906296064362532, "mean_top1_relative_VM_L2": 0.11974707026451166, "mean_high_curvature_relative_VM_L2": 0.07448396993515569, "mean_abs_max_VM_relative_bias": 0.1903084793067334 } ], "actual_best_epoch": 6000, "active_seconds": 5479.080099582672, "timing": { "training_wall_seconds": 4998.508079664018, "evaluation_wall_seconds": 2.360290542997973, "checkpoint_wall_seconds": 17.781207304040436 } } ], "MGN": { "name": "MGN", "parameters": 985540, "evaluations": [ { "step": 2000, "elapsed_seconds": 3994.189801931381, "loss": 0.005072722944896669, "learning_rate": 1e-05, "mean_training_objective": 0.005072114957239267, "mean_relative_U_L2": 0.025309031683216753, "worst_relative_U_L2": 0.030651836531500647, "mean_relative_VM_L2": 0.09234098323752096, "worst_relative_VM_L2": 0.2227858010469254 }, { "step": 4000, "elapsed_seconds": 8017.662678003311, "loss": 0.003554338827962056, "learning_rate": 1e-05, "mean_training_objective": 0.003560554329256071, "mean_relative_U_L2": 0.02275541627654079, "worst_relative_U_L2": 0.026909176926172236, "mean_relative_VM_L2": 0.0741796887112794, "worst_relative_VM_L2": 0.2159994188711901 }, { "step": 6000, "elapsed_seconds": 12043.120334625244, "loss": 0.0030161796021275227, "learning_rate": 1e-05, "mean_training_objective": 0.003010054677227367, "mean_relative_U_L2": 0.020844821358193162, "worst_relative_U_L2": 0.02491021754695897, "mean_relative_VM_L2": 0.06652113368285545, "worst_relative_VM_L2": 0.21311342441090972 } ], "limitation": "同20纯拉训练案例，训练损失为物理相对平方目标，与本轮normalized MSE不同。仅比较已有物理U/VM指标。", "source_run": "m01_tension20_matched_continue6000_v1/MGN_W096_M011" }, "gate_policy": { "epoch": 2000, "rule": "stop only if BOTH U and VM strictly exceed EACH of all three references", "references": { "TS3": { "U": 0.021752312555760635, "VM": 0.10179617068800847, "source": "D:\\GeoBC\\GeoBC Neural Operator\\publication\\GeoBC-Neural-Operator\\runs\\m01_loss_geometry_capacity6000_v1\\arms\\TS3_MSE\\formal\\curve.json", "sha256": "81d845cbc9196088693be196197303e0847ceb8824e33d16fc56e9c4bd08a08e" }, "GNOT": { "U": 0.02561658423347698, "VM": 0.10074069863568832, "source": "D:\\GeoBC\\GeoBC Neural Operator\\publication\\GeoBC-Neural-Operator\\runs\\m01_operator_matched1m_v1\\arms\\GNOT_1M\\formal\\curve.json", "sha256": "2cf3a1c310a3090ee9ab44a033ffe6d693f388c5e0528f252df3369e9f641fa6" }, "MGN": { "U": 0.025309031683216753, "VM": 0.09234098323752096, "source": "D:\\GeoBC\\GeoBC Neural Operator\\publication\\GeoBC-Neural-Operator\\runs\\m01_tension20_matched_continue6000_v1\\MGN_W096_M011\\formal\\mgn\\20\\curve.json", "sha256": "0a7870e1bc9a3164edbadb6cb266059cf0a272b259431b68f0872702b86c0f2e" } }, "MGN_loss_difference": "MGN trained on equal-case physical relative U/VM squared objective; WNO/GAOT normalized linear MSE", "user_authorized": true }, "scope": "20TRAIN单seed拟合；各配置参数见表；FLOPs和耗时未配平。", "neural_forwards": 0, "new_FE_solves": 0, "completion_scope": "M01按用户最新决定完成；不表示所有模型均6000步，也不表示达到误差阈值。", "oformer_matched_revision": { "parameters": 991359, "width": 109, "same_forward": true, "untrained_initial": true, "actualbest": 6000, "old_OFORMER_parameters": 1363588, "scope": "Width-only capacity match; same TRAIN/50inputs/loss/seed/updates, not equal FLOPs/time." } }