Fractional Jacobian topology loss / results.json
Mechanism failed
1{
2 "device": "cuda",
3 "N": 32,
4 "math_check": {
5 "frequency_ks": [
6 1,
7 2,
8 4,
9 8
10 ],
11 "fractional_energies": [
12 0.23653092980384827,
13 0.6690105199813843,
14 1.8922576904296875,
15 5.5801615715026855
16 ],
17 "loglog_slope_expected_1_plus_s": 1.5,
18 "loglog_slope_observed": 1.518062619226667,
19 "target_winding": {
20 "count": 2,
21 "plaquettes": [
22 [
23 11,
24 10,
25 0.9999999403953552
26 ],
27 [
28 20,
29 20,
30 -1.0
31 ]
32 ]
33 },
34 "initial_winding": {
35 "count": 2,
36 "plaquettes": [
37 [
38 10,
39 10,
40 1.0
41 ],
42 [
43 20,
44 20,
45 -1.0000001192092896
46 ]
47 ]
48 },
49 "target_integer_defect_count": 2,
50 "jacobian_loss_at_constant_field": 0.0019531248835846782,
51 "jacobian_gradient_norm_at_constant_field": 6.9156295273709034e-12
52 },
53 "baseline_tv": {
54 "task_mse": 0.0001623212592676282,
55 "fractional_energy": 1.8164335489273071,
56 "tv_energy": 0.9250288009643555,
57 "winding_mse": 6.575653088900082e-17,
58 "winding_defects": {
59 "count": 2,
60 "plaquettes": [
61 [
62 11,
63 10,
64 1.0
65 ],
66 [
67 20,
68 20,
69 -1.0
70 ]
71 ]
72 },
73 "integer_defect_count": 2,
74 "high_frequency_spectrum": 0.01178131066262722,
75 "final_winding_range": [
76 -1.0,
77 1.0
78 ]
79 },
80 "idea_fractional_jacobian": {
81 "task_mse": 0.0003124744107481092,
82 "fractional_energy": 1.627249002456665,
83 "tv_energy": 0.9465042352676392,
84 "winding_mse": 4.345112590675315e-17,
85 "winding_defects": {
86 "count": 2,
87 "plaquettes": [
88 [
89 11,
90 10,
91 1.0
92 ],
93 [
94 20,
95 20,
96 -1.0
97 ]
98 ]
99 },
100 "integer_defect_count": 2,
101 "high_frequency_spectrum": 0.00849775318056345,
102 "final_winding_range": [
103 -1.0,
104 1.0
105 ]
106 }
107}