1{
 2  "seed": 902,
 3  "calibration_scores": 5000,
 4  "alpha": [
 5    0.05,
 6    0.1,
 7    0.2,
 8    0.3
 9  ],
10  "state_quantiles": {
11    "0.05": 0.5965198962191917,
12    "0.1": 0.49330205341989664,
13    "0.2": 0.37462588580248357,
14    "0.3": 0.3000014838535938
15  },
16  "state_coverage": {
17    "0.05": 0.9628,
18    "0.1": 0.9114666666666666,
19    "0.2": 0.8043333333333333,
20    "0.3": 0.6958666666666666
21  },
22  "residual_std": 0.18173619417383416,
23  "halfnormal_reference": {
24    "0.05": 0.3561963980777247,
25    "0.1": 0.29892950593160783,
26    "0.2": 0.23290438311586553,
27    "0.3": 0.18835738893616943
28  },
29  "calibration_size_sweep": {
30    "100": {
31      "q_mean": 0.5143648955220264,
32      "q_std": 0.06786245598644008,
33      "coverage_mean": 0.9157,
34      "coverage_std": 0.03941083607334409,
35      "predicted_q_std_scaling": 0.1
36    },
37    "500": {
38      "q_mean": 0.47992587196378367,
39      "q_std": 0.02437358037658826,
40      "coverage_mean": 0.9028400000000001,
41      "coverage_std": 0.020717683268164918,
42      "predicted_q_std_scaling": 0.044721359549995794
43    },
44    "2000": {
45      "q_mean": 0.47690253116970477,
46      "q_std": 0.015340505018111827,
47      "coverage_mean": 0.89901,
48      "coverage_std": 0.013596687096495218,
49      "predicted_q_std_scaling": 0.022360679774997897
50    },
51    "5000": {
52      "q_mean": 0.48130122153734967,
53      "q_std": 0.007485591613424923,
54      "coverage_mean": 0.9037099999999999,
55      "coverage_std": 0.007524752487623752,
56      "predicted_q_std_scaling": 0.01414213562373095
57    }
58  },
59  "innovation_threshold": 1.6344746423584564,
60  "contaminated_rmse_baseline": 0.38422296362424313,
61  "contaminated_rmse_gated": 0.3453084105090802,
62  "contaminated_rmse_improvement_fraction": 0.10128117473275244,
63  "trigger_rate": 0.1538,
64  "predictions": {
65    "coverage": "exchangeable marginal coverage is at least approximately 1-alpha",
66    "alpha_scaling": "q decreases with alpha and follows the half-normal reference",
67    "calibration_scaling": "quantile variability decreases approximately as m^(-1/2)",
68    "robust_intervention": "R inflation on innovation-triggered observations reduces error under outliers"
69  }
70}