Adjoint-Weak Fractional Residuals / results.json
Mechanism confirmed, baseline not beaten
1{
2 "identity": {
3 "absolute_error": 1.1102230246251565e-15,
4 "relative_error": 4.844199237277392e-16
5 },
6 "noise_sweep": [
7 {
8 "sigma": 0.01,
9 "weak_var": 1.0987736314266595e-06,
10 "strong_var": 1.201534342010772,
11 "weak_over_sigma2": 0.010987736314266595,
12 "strong_over_sigma2": 12015.34342010772
13 },
14 {
15 "sigma": 0.03,
16 "weak_var": 9.760296489794363e-06,
17 "strong_var": 10.571606361267328,
18 "weak_over_sigma2": 0.010844773877549292,
19 "strong_over_sigma2": 11746.229290297031
20 },
21 {
22 "sigma": 0.1,
23 "weak_var": 0.00011386842570602395,
24 "strong_var": 117.54051836897834,
25 "weak_over_sigma2": 0.011386842570602393,
26 "strong_over_sigma2": 11754.051836897832
27 },
28 {
29 "sigma": 0.3,
30 "weak_var": 0.0009508139823884562,
31 "strong_var": 1069.144552599165,
32 "weak_over_sigma2": 0.01056459980431618,
33 "strong_over_sigma2": 11879.383917768502
34 }
35 ],
36 "resolution_sweep": [
37 {
38 "n": 65,
39 "weak_norm2": 0.0426451257271337,
40 "strong_norm2": 1278.9461337839193
41 },
42 {
43 "n": 129,
44 "weak_norm2": 0.0214493667474359,
45 "strong_norm2": 3877.0424606504353,
46 "weak_ratio_prev": 0.5029734672300044,
47 "strong_ratio_prev": 3.031435303048869
48 },
49 {
50 "n": 257,
51 "weak_norm2": 0.010815577523155226,
52 "strong_norm2": 11752.9963674464,
53 "weak_ratio_prev": 0.5042376145882321,
54 "strong_ratio_prev": 3.031433492599575
55 },
56 {
57 "n": 513,
58 "weak_norm2": 0.005476211334172537,
59 "strong_norm2": 35628.42329918625,
60 "weak_ratio_prev": 0.5063262985678237,
61 "strong_ratio_prev": 3.0314331924640356
62 }
63 ],
64 "coefficient_fit": [
65 {
66 "sigma": 0.01,
67 "weak_rmse": 0.007329275429032863,
68 "strong_rmse": 0.1474187070497865,
69 "weak_noiseless": -0.8849544248348283,
70 "strong_noiseless": -1.1217589725862713
71 },
72 {
73 "sigma": 0.03,
74 "weak_rmse": 0.020556991326393284,
75 "strong_rmse": 0.4889786655378507,
76 "weak_noiseless": -0.8849544248348283,
77 "strong_noiseless": -1.1217589725862713
78 },
79 {
80 "sigma": 0.1,
81 "weak_rmse": 0.0664286302349654,
82 "strong_rmse": 1.730385220597502,
83 "weak_noiseless": -0.8849544248348283,
84 "strong_noiseless": -1.1217589725862713
85 },
86 {
87 "sigma": 0.3,
88 "weak_rmse": 0.218730328650216,
89 "strong_rmse": 10.361216350665623,
90 "weak_noiseless": -0.8849544248348283,
91 "strong_noiseless": -1.1217589725862713
92 }
93 ],
94 "predictions": {
95 "noise_linearity": "weak variance / sigma^2 should be constant",
96 "weak_resolution_ratio_predicted": 0.5,
97 "strong_resolution_ratio_predicted": 3.0314331330207964,
98 "observed_weak_ratios": [
99 0.5029734672300044,
100 0.5042376145882321,
101 0.5063262985678237
102 ],
103 "observed_strong_ratios": [
104 3.031435303048869,
105 3.031433492599575,
106 3.0314331924640356
107 ],
108 "identity_tolerance": "machine precision"
109 }
110}