Koopman Hankel Dual Autoencoder / results.json

Mechanism confirmed, baseline not beaten

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 1{
 2  "seed": 2467,
 3  "math": {
 4    "noise_scaling": {
 5      "prediction": "Koopman residual is linear in observation noise sigma",
 6      "slope": 0.9845488791272274,
 7      "intercept": 0.0011525369870755535,
 8      "r2": 0.9998548981144839,
 9      "observed_pairs": [
10        [
11          0.002,
12          0.002413338562581623
13        ],
14        [
15          0.005,
16          0.005934109007059595
17        ],
18        [
19          0.01,
20          0.011410232623865181
21        ],
22        [
23          0.02,
24          0.021388548327736984
25        ],
26        [
27          0.05,
28          0.05042244264044446
29        ],
30        [
31          0.1,
32          0.09945719115755697
33        ]
34      ]
35    },
36    "stability_boundary": {
37      "prediction": "rollout growth-rate log(norm_t)/t equals log|a| and changes sign at |a|=1",
38      "factors": [
39        0.7,
40        0.9,
41        0.98,
42        1.0,
43        1.02,
44        1.1,
45        1.3
46      ],
47      "observed_log_slopes": [
48        -0.3566749439387325,
49        -0.10536051565782631,
50        -0.020202707317519473,
51        0.0,
52        0.019802627296179737,
53        0.09531017980432496,
54        0.26236426446749117
55      ],
56      "predicted_log_slopes": [
57        -0.35667494393873245,
58        -0.10536051565782628,
59        -0.020202707317519466,
60        0.0,
61        0.01980262729617973,
62        0.09531017980432493,
63        0.26236426446749106
64      ],
65      "estimated_boundary": 1.0,
66      "predicted_boundary": 1.0,
67      "max_boundary_error": 0.0
68    },
69    "delay_transition": {
70      "prediction": "delay depth p>=2 closes the AR(2) Koopman residual; p=1 does not",
71      "p": [
72        1,
73        2,
74        3,
75        4,
76        6
77      ],
78      "observed_relative_residual": [
79        0.9991974706369801,
80        8.47195318046664e-09,
81        4.2216633403869394e-09,
82        1.0643854813343122e-08,
83        7.474410374431554e-09
84      ],
85      "p2_to_p4_ratio": 0.7959478336594944
86    }
87  },
88  "mini_experiment": {
89    "device": "cuda",
90    "baseline_past_AUC": 0.6561912600431119,
91    "dual_future_AUC": 0.6967007642563199,
92    "baseline_nominal_mean": 0.0003251822490710765,
93    "baseline_fault_mean": 0.004016641061753035,
94    "dual_nominal_future_mean": 0.0009963347110897303,
95    "dual_fault_future_mean": 0.007727282587438822
96  }
97}