1{
 2  "predictions": {
 3    "correction_ratio_z_over_exp_minus_1": {
 4      "z": [
 5        0.01,
 6        0.03,
 7        0.1,
 8        0.3,
 9        1.0,
10        3.0,
11        10.0
12      ],
13      "observed": [
14        0.9950083333194444,
15        0.9850749988750241,
16        0.950833194477505,
17        0.8574887740530248,
18        0.5819767068693265,
19        0.15718708947376786,
20        0.00045401991009687764
21      ],
22      "small_z_relative_error": 8.375195421494339e-06,
23      "large_z_ratio_to_zexp_minus_z": 1.0000454019910094,
24      "predicted_limits": "1 as z->0; 1 as z->infinity after dividing by z exp(-z)"
25    },
26    "curvature_bound": {
27      "predicted": "all finite-difference margins >= 0",
28      "observed": [
29        {
30          "t": 0.005,
31          "min_margin": 1.0,
32          "violations": 0,
33          "points": 15
34        },
35        {
36          "t": 0.02,
37          "min_margin": 1.0053770331805794,
38          "violations": 0,
39          "points": 15
40        },
41        {
42          "t": 0.08,
43          "min_margin": 1.970915130161302,
44          "violations": 0,
45          "points": 15
46        },
47        {
48          "t": 0.2,
49          "min_margin": 1.2016324472366842,
50          "violations": 0,
51          "points": 15
52        }
53      ]
54    },
55    "boundary_leakage": {
56      "predicted": "killed 0; Gaussian increases with t",
57      "observed": [
58        {
59          "t": 0.005,
60          "gaussian_negative_rate": 0.2068,
61          "killed_negative_rate": 0.0
62        },
63        {
64          "t": 0.02,
65          "gaussian_negative_rate": 0.2643,
66          "killed_negative_rate": 0.0
67        },
68        {
69          "t": 0.08,
70          "gaussian_negative_rate": 0.3033,
71          "killed_negative_rate": 0.0
72        },
73        {
74          "t": 0.2,
75          "gaussian_negative_rate": 0.32895,
76          "killed_negative_rate": 0.0
77        }
78      ]
79    }
80  },
81  "model_comparison": {
82    "baseline_gaussian_clip": {
83      "mse": 5.473271098669968,
84      "near_boundary_mse": 104.1750073306232,
85      "device": "cuda"
86    },
87    "killed_kernel": {
88      "mse": 35.25710593069508,
89      "near_boundary_mse": 2507.843515863984,
90      "device": "cuda"
91    }
92  }
93}