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< 0.10; not preregistered", "overfit_accumulation": "sigma^2 times variance_unit; positive noise damage can accumulate while net risk still decreases", "curvature_turn": "first saved-grid positive-to-negative second-difference crossing after expected-risk minimum" }, "aggregate": { "train_fraction_at_expected_rise": { "min": 0.11398302174373737, "median": 0.41853294026733256, "max": 0.875389135142893 }, "train_fraction_at_actual_val_min": { "min": 0.0983483854927984, "median": 0.4145562004895091, "max": 0.8488664044461767 }, "expected_train_fraction_at_expected_rise": { "min": 0.11162517438596617, "median": 0.42155703160931657, "max": 0.7698257757810376 }, "actual_val_min_to_expected_min_step_ratio": { "min": 0.23529411764705882, "median": 1.3686615186615185, "max": 86.71875 }, "train_fraction_lt_0_10_at_expected_rise": 0, "train_fraction_lt_0_10_at_actual_val_min": 1, "noise_fraction_of_risk_at_minimum": { "min": 0.33393506767065767, "median": 0.5308346472741858, "max": 0.7273632732924289 }, "noise_accumulation_fraction_at_half_tstar": { "min": 0.5206795913291088, "median": 0.7360444995022917, "max": 0.8819934001026059 }, "bias_descending_and_noise_ascending_at_rise": 60, "curvature_turn_step_ratio": { "min": 1.1904761904761905, "median": 1.8702380952380953, "max": 8.0801393728223 }, "local_quadratic_ratio_at_0_001_tstar": { "min": 0.9968177199838637, "median": 0.9987604710271688, "max": 0.9999746613978631 }, "local_quadratic_ratio_at_0_01_tstar": { "min": 0.9686748642697005, "median": 0.987696276322345, "max": 0.9997393350111294 } }, "boundaries": [ "One saved task only: Gaussian inputs, mixed target x0+0.5*x0*x1, frozen ReLU width128, zero linear head, full-batch GD.", "All metrics and examples are development reanalysis; no fresh task evidence and no causal train-only trigger.", "Curvature is from continuous spectral interpolation; its grid crossing location has step-scale resolution." ] }