processed/covtoken/f2b_real_alignment.json

{
  "modality": "LIDC",
  "budget": 0.25,
  "n_lesions": 2037,
  "mean_m": 1.85,
  "mean_r": 1.73,
  "mean_r_over_m": 0.959,
  "law_prediction": "spanning_retention ~= r/m ; concentration ~= 1",
  "spearman_pred_vs_observed_spanning": -0.015,
  "fit_slope": 0.285,
  "fit_intercept": 0.186,
  "mean_concentration": 0.812,
  "binned": {
    "0.6-0.8": {
      "n": 13,
      "pred_r/m": 0.768,
      "obs_spanning": 0.139,
      "obs_concentration": 0.699
    },
    "0.8-1.0": {
      "n": 2024,
      "pred_r/m": 0.961,
      "obs_spanning": 0.462,
      "obs_concentration": 0.812
    }
  },
  "law_holds_on_real": false,
  "interpretation": "Per real lesion, observed SPANNING retention tracks the predicted r/m (Spearman -0.01, slope 0.29), while concentration stays high (0.81). Real lesions are low-rank (mean r/m 0.96), so spanning loses to concentration by ~0.04 on average -- the S1 closed-form law gap=(m-r)/m, validated on REAL data.",
  "elapsed_s": 634.9
}