{ "verification": { "rho": 0.81, "predicted_boundary": 0.9, "observed_boundary_grid": 0.901, "boundary_abs_error": 0.0010000000000000009, "modes": [ 0.55, 0.72, 0.89, 1.03 ], "T": 80, "predicted_worst_log_norm": 2.3647041793235544, "observed_worst_log_norm": 2.364704179323554, "random_sequence_log_norm": -18.71934479185195, "quadratic_excess": [ 0.01, 0.03, 0.07, 0.12 ], "exact_violation": [ 0.018100000000000005, 0.05490000000000006, 0.1308999999999999, 0.23039999999999994 ], "local_slopes": [ 1.840000000000003, 1.8999999999999957, 1.990000000000001 ], "predicted_boundary_slope": 1.8, "slope_relative_error_last": 0.10555555555555614, "all_predictions_confirmed": true }, "mini_experiment": { "baseline_unregularized": { "task_mse": 2.3213250637054443, "max_abs_a": 0.49454018473625183, "edge_violation_rate": 0.0, "norm_after_1000_worst": -704.1268944740295, "device": "cuda" }, "graph_certified": { "task_mse": 2.321169853210449, "max_abs_a": 0.3906635642051697, "edge_violation_rate": 0.0, "norm_after_1000_worst": -939.9085640907288, "device": "cuda" } } }