Fractional-memory recurrent state / results.json
Mechanism failed
1{
2 "prediction_stability_half_life": [
3 {
4 "rho": 0.8,
5 "predicted_half_life": 3.1062837195053903,
6 "observed_half_life": 4,
7 "max_impulse": 0.19999999999999996,
8 "stable_max_state": 0.9999999999999994
9 },
10 {
11 "rho": 0.95,
12 "predicted_half_life": 13.513407333964874,
13 "observed_half_life": 14,
14 "max_impulse": 0.050000000000000044,
15 "stable_max_state": 1.0
16 },
17 {
18 "rho": 0.99,
19 "predicted_half_life": 68.96756393652842,
20 "observed_half_life": 69,
21 "max_impulse": 0.010000000000000009,
22 "stable_max_state": 0.9999999999999979
23 },
24 {
25 "rho": 0.999,
26 "predicted_half_life": 692.8005491785002,
27 "observed_half_life": 693,
28 "max_impulse": 0.0010000000000000009,
29 "stable_max_state": 0.9999999979593749
30 }
31 ],
32 "prediction_powerlaw": [
33 {
34 "lag": 100,
35 "observed": 0.5614099274382258,
36 "predicted": 0.5641895835477563,
37 "relative_error": 0.004926812175530308
38 },
39 {
40 "lag": 1000,
41 "observed": 0.5639079108440004,
42 "predicted": 0.5641895835477563,
43 "relative_error": 0.0004992518684671091
44 },
45 {
46 "lag": 10000,
47 "observed": 0.5641613782989433,
48 "predicted": 0.5641895835477563,
49 "relative_error": 4.9992501874303284e-05
50 },
51 {
52 "lag": 100000,
53 "observed": 0.5641867626421517,
54 "predicted": 0.5641895835477563,
55 "relative_error": 4.9999250018261025e-06
56 },
57 {
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59 "observed": 0.5641893014533876,
60 "predicted": 0.5641895835477563,
61 "relative_error": 4.999992500184989e-07
62 }
63 ],
64 "prediction_bank_scaling": [
65 {
66 "K": 1,
67 "relative_fit_error": 101.98936827263357
68 },
69 {
70 "K": 2,
71 "relative_fit_error": 0.8180064042638799
72 },
73 {
74 "K": 4,
75 "relative_fit_error": 0.33798994885993666
76 },
77 {
78 "K": 8,
79 "relative_fit_error": 0.31358247352246277
80 },
81 {
82 "K": 16,
83 "relative_fit_error": 0.31270798561092067
84 },
85 {
86 "K": 32,
87 "relative_fit_error": 0.31291395381295295
88 }
89 ],
90 "secondary_filter_comparison": {
91 "fractional_K8_mse": 0.0006432590283113826,
92 "best_single_exponential_mse": 0.00012002695213538339,
93 "single_over_fractional": 0.18659194329610232
94 },
95 "secondary_delayed_impulse": {
96 "delay": 4000,
97 "fractional_at_delay": 1.5167383864969127e-05,
98 "single_at_delay": 1.2912823376253832e-58,
99 "ratio": 1.1745985694237359e+53
100 }
101}