Dynamics-Matched Contractive Reservoir / results.json

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 1{
 2  "seed": 1487,
 3  "math_predictions": {
 4    "boundary": "decay iff gamma*Lambda < 1; observed ratio should equal gamma*Lambda",
 5    "geometric_decay": "log norm slope should equal log(rho)",
 6    "boundary_sweep": [
 7      {
 8        "gamma": 0.6,
 9        "predicted_rho": 0.72,
10        "observed_ratio": 0.7199999999999998,
11        "classification_pred": "decay",
12        "classification_obs": "decay"
13      },
14      {
15        "gamma": 0.75,
16        "predicted_rho": 0.8999999999999999,
17        "observed_ratio": 0.8999999999999998,
18        "classification_pred": "decay",
19        "classification_obs": "decay"
20      },
21      {
22        "gamma": 0.8,
23        "predicted_rho": 0.96,
24        "observed_ratio": 0.9599999999999997,
25        "classification_pred": "decay",
26        "classification_obs": "decay"
27      },
28      {
29        "gamma": 0.833333,
30        "predicted_rho": 0.9999996,
31        "observed_ratio": 0.9999996,
32        "classification_pred": "decay",
33        "classification_obs": "grow_or_neutral"
34      },
35      {
36        "gamma": 0.9,
37        "predicted_rho": 1.08,
38        "observed_ratio": 1.08,
39        "classification_pred": "grow_or_neutral",
40        "classification_obs": "grow_or_neutral"
41      },
42      {
43        "gamma": 1.0,
44        "predicted_rho": 1.2,
45        "observed_ratio": 1.1999999999999997,
46        "classification_pred": "grow_or_neutral",
47        "classification_obs": "grow_or_neutral"
48      }
49    ],
50    "decay_sweep": [
51      {
52        "rho": 0.5,
53        "predicted_log_slope": -0.6931471805599453,
54        "measured_log_slope": -0.6931471805599453,
55        "abs_error": 0.0
56      },
57      {
58        "rho": 0.7,
59        "predicted_log_slope": -0.35667494393873245,
60        "measured_log_slope": -0.35667494393873245,
61        "abs_error": 0.0
62      },
63      {
64        "rho": 0.9,
65        "predicted_log_slope": -0.10536051565782628,
66        "measured_log_slope": -0.10536051565782625,
67        "abs_error": 2.7755575615628914e-17
68      },
69      {
70        "rho": 0.97,
71        "predicted_log_slope": -0.030459207484708574,
72        "measured_log_slope": -0.030459207484708553,
73        "abs_error": 2.0816681711721685e-17
74      }
75    ],
76    "boundary_confirmed": true,
77    "decay_confirmed": true
78  },
79  "masked_traffic_readout_mse": {
80    "random": 0.004856832416299625,
81    "mechanistic": 0.005219078089003236
82  },
83  "mechanistic_relative_improvement": -0.07458475847095462
84}