{
  "seed": 1419,
  "U_kernel": [
    [
      0.0
    ],
    [
      1.0
    ]
  ],
  "prediction_1_invariance_max_abs": 0.0,
  "prediction_1_expected": 0.0,
  "prediction_2_predicted_boundary_gamma": 0.0,
  "prediction_2_observed_grid_crossing_left_endpoint": -0.010000000000000009,
  "prediction_2_boundary_error_grid": 0.010000000000000009,
  "prediction_3_stable_selected_rho": 1.0,
  "prediction_3_expected_rho": 1.0,
  "prediction_3_sweep": [
    {
      "gamma": -0.5,
      "selected_rho": 1.0
    },
    {
      "gamma": -0.2,
      "selected_rho": 1.0
    },
    {
      "gamma": -0.05,
      "selected_rho": 1.0
    },
    {
      "gamma": 0.05,
      "selected_rho": 4.0
    },
    {
      "gamma": 0.5,
      "selected_rho": 4.0
    }
  ],
  "unstable_projected_mode_scheduler_fallback_rho": 4.0,
  "comparison": {
    "fixed_low_rho_1": {
      "rmse_tail": 0.00789317274316064,
      "mean_rho": 1.0,
      "max_error": 2.206098915393377
    },
    "fixed_high_rho_4": {
      "rmse_tail": 0.010423398953046755,
      "mean_rho": 4.0,
      "max_error": 2.145721975700327
    },
    "scheduled": {
      "rmse_tail": 0.00789317274316064,
      "mean_rho": 1.0,
      "max_error": 2.206098915393377
    }
  },
  "interpretation": "C U_K=0 makes the proposed projected gain term identically zero; gain scheduling cannot alter latent projected stability."
}