{ "bench_version": 1, "track": "mixed_junction_pde", "model": "shared_mlp", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.006, "epochs": 24 }, "sweep": [ { "cfg": { "lr": 0.001, "epochs": 24 }, "mean": 0.00339865026762709 }, { "cfg": { "lr": 0.003, "epochs": 24 }, "mean": 0.003264589060563594 }, { "cfg": { "lr": 0.006, "epochs": 24 }, "mean": 0.002789003716316074 } ], "full": { "mean": 0.0026630852662492543, "std": 0.00036134479913983665, "per_seed": [ 0.002356861950829625, 0.002819970017299056, 0.003539228579029441, 0.0024399543181061745, 0.0024639228358864784, 0.002411615801975131, 0.0026837403420358896, 0.002589388284832239 ], "n": 8 } }, "idea": { "mean": 0.0022626783757004887, "per_seed": [ 0.001978969667106867, 0.0023965463042259216, 0.0029797772876918316, 0.0021176720038056374, 0.0021572888363152742, 0.0020093151833862066, 0.002253561979159713, 0.0022082957439124584 ], "std": 0.000298330645560932, "n": 8, "config": { "lr": 0.006, "epochs": 24 } }, "comparison": { "delta_mean": -0.00040040689054876566, "idea_wins": 8, "n_pairs": 8, "per_seed_diffs": [ -0.0003778922837227583, -0.0004234237130731344, -0.0005594512913376093, -0.0003222823143005371, -0.0003066339995712042, -0.0004023006185889244, -0.00043017836287617683, -0.00038109254091978073 ], "p_value": 0.0081, "mde": 6.514612130287504e-05, "mde_rel_pct": 2.4462649442174347, "verdict": "idea better (significant)", "system_worked": true }, "custom_track": { "name": "mixed_junction_pde", "file": "mixed_junction_track.py", "domain": "pde" }, "protocol_note": "Built-in tracks have no PDE/boundary-value structure; local custom track is used. Same MLP trunk, data, epochs, batch, and lr grid for both systems.", "mechanism_signature": { "predicted_lambda": 0.5, "observed_nn_loglog_slope": 0.5707064248174396, "slope_abs_error": 0.0707064248174396, "corner_test_mse": 0.0011835746699944139, "n_corner": 4, "confirmed": true, "probe_points": 160 }, "idea_sweep": [ { "config": { "lr": 0.001, "epochs": 24 }, "mean": 0.0027024906885344535, "per_seed": [ 0.0024186030495911837, 0.002843501977622509, 0.0031673284247517586, 0.002951104659587145, 0.0026426410768181086, 0.002598213730379939, 0.0023358326870948076, 0.0026626999024301767 ], "std": 0.00025710806568259, "n": 8 }, { "config": { "lr": 0.003, "epochs": 24 }, "mean": 0.0026329627726227045, "per_seed": [ 0.0022699313703924417, 0.002718425588682294, 0.0033307583071291447, 0.002648074645549059, 0.0024650446139276028, 0.002464297227561474, 0.0026492171455174685, 0.0025179532822221518 ], "std": 0.00029503784296368855, "n": 8 }, { "config": { "lr": 0.006, "epochs": 24 }, "mean": 0.0022626783757004887, "per_seed": [ 0.001978969667106867, 0.0023965463042259216, 0.0029797772876918316, 0.0021176720038056374, 0.0021572888363152742, 0.0020093151833862066, 0.002253561979159713, 0.0022082957439124584 ], "std": 0.000298330645560932, "n": 8 } ] }