Robust Oscillatory RNN via Cyclic Loop-Gain Certification / results.json

Mechanism confirmed, baseline not beaten

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 1{
 2  "seed": 7,
 3  "math_and_mechanism": {
 4    "determinant_max_abs_error": 5.0242958677880805e-15,
 5    "determinant_mean_abs_error": 8.179605666242691e-16,
 6    "critical_radius_scaling": [
 7      {
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 9        "predicted_rc": 0.7171572875253811,
10        "observed_rc": 0.717157287525381,
11        "abs_error": 1.1102230246251565e-16
12      },
13      {
14        "n": 3,
15        "predicted_rc": 0.7480157900210254,
16        "observed_rc": 0.7480157900210254,
17        "abs_error": 0.0
18      },
19      {
20        "n": 4,
21        "predicted_rc": 0.7621585769994559,
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23        "abs_error": 1.1102230246251565e-16
24      },
25      {
26        "n": 6,
27        "predicted_rc": 0.7755075903381254,
28        "observed_rc": 0.7755075903381253,
29        "abs_error": 1.1102230246251565e-16
30      },
31      {
32        "n": 8,
33        "predicted_rc": 0.7818984534669485,
34        "observed_rc": 0.7818984534669484,
35        "abs_error": 1.1102230246251565e-16
36      }
37    ],
38    "radius_transition": [
39      {
40        "r": 0.0,
41        "max_pole_radius": 1.6408964152537147,
42        "unstable": true
43      },
44      {
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46        "max_pole_radius": 1.3045378491522288,
47        "unstable": true
48      },
49      {
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52        "unstable": true
53      },
54      {
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57        "unstable": true
58      },
59      {
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62        "unstable": false
63      },
64      {
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66        "max_pole_radius": 0.8840896415253715,
67        "unstable": false
68      }
69    ]
70  },
71  "tiny_rnn": {
72    "dense": {
73      "clean_mse": 0.0020387242548167706,
74      "gain_noise_mse": [
75        0.003833153983578086,
76        0.008354756981134415,
77        0.024228177964687347
78      ]
79    },
80    "cyclic": {
81      "clean_mse": 0.0017217546701431274,
82      "gain_noise_mse": [
83        0.005111676640808582,
84        0.0025896085426211357,
85        0.3316880464553833
86      ]
87    }
88  }
89}