Spectral-Edge Criticality Controller / summary.json
Mechanism confirmed, baseline not beaten
1{
2 "predictions": [
3 {
4 "prediction": "growth/decay boundary at effective edge 1",
5 "observed_crossing_between": [
6 0.99,
7 1.01
8 ],
9 "predicted": 1.0,
10 "max_abs_log_slope_error": 1.1102230246251565e-16
11 },
12 {
13 "prediction": "correlation time xi=-1/log(r)",
14 "observed": [
15 [
16 0.7,
17 2.8036732520571275
18 ],
19 [
20 0.85,
21 6.153129380622033
22 ],
23 [
24 0.95,
25 19.495725746223673
26 ],
27 [
28 0.99,
29 99.499162473422
30 ]
31 ],
32 "predicted": [
33 [
34 0.7,
35 2.8036732520571284
36 ],
37 [
38 0.85,
39 6.153129380622034
40 ],
41 [
42 0.95,
43 19.495725746223673
44 ],
45 [
46 0.99,
47 99.49916247342207
48 ]
49 ],
50 "max_relative_error": 7.141193132654742e-16
51 },
52 {
53 "prediction": "Wigner edge=2 sigma and critical gain=1/edge",
54 "edge_max_relative_error": 0.03885849837329605,
55 "gain_max_relative_error": 0.040429529166651434
56 },
57 {
58 "prediction": "controller reaches target effective edge",
59 "target": 0.9,
60 "initial": 2.0,
61 "final": 0.9000000000000002,
62 "final_abs_error": 2.220446049250313e-16
63 }
64 ],
65 "comparison": {
66 "raw_lambda_edge": 10.176777057494922,
67 "normalized_lambda_edge": 1.0,
68 "baseline": {
69 "initial_gain": 1.0,
70 "final_gain": 1.0,
71 "mean_effective_edge": 0.9374205894777816,
72 "last_effective_edge": 0.9363579093041831,
73 "gradient_norm": 0.21896568675398534,
74 "final_state_norm": 0.665175857542921
75 },
76 "idea": {
77 "initial_gain": 1.001275997831418,
78 "final_gain": 0.9506692142142004,
79 "mean_effective_edge": 0.901227550012792,
80 "last_effective_edge": 0.933910456837598,
81 "gradient_norm": 0.009650979567428367,
82 "final_state_norm": 0.5506352079734693
83 },
84 "target_edge": 0.9
85 }
86}