Reciprocal-Lattice Gauge-Covariant Bloch Network / results.json
Beats tuned baseline
1{
2 "math": {
3 "predictions": {
4 "phase identity": "max error should be machine precision for every integer m",
5 "operator covariance": "relative residual should be machine precision for every integer m",
6 "naive alias mismatch": "RMS should be sqrt(2)=1.41421356 for nonzero integer m (unit-modulus f)"
7 },
8 "rows": [
9 {
10 "m": -3,
11 "phase_identity_max": 2.7755575615628914e-16,
12 "operator_relative_error": 5.327479555684243e-15,
13 "naive_factor_rms": 1.4142135623730951
14 },
15 {
16 "m": -2,
17 "phase_identity_max": 2.7755575615628914e-16,
18 "operator_relative_error": 2.2758485719395947e-15,
19 "naive_factor_rms": 1.4142135623730951
20 },
21 {
22 "m": -1,
23 "phase_identity_max": 3.376611507232129e-16,
24 "operator_relative_error": 5.63873769827775e-16,
25 "naive_factor_rms": 1.4142135623730951
26 },
27 {
28 "m": 0,
29 "phase_identity_max": 0.0,
30 "operator_relative_error": 0.0,
31 "naive_factor_rms": 0.0
32 },
33 {
34 "m": 1,
35 "phase_identity_max": 3.376611507232129e-16,
36 "operator_relative_error": 7.465067955672428e-16,
37 "naive_factor_rms": 1.4142135623730951
38 },
39 {
40 "m": 2,
41 "phase_identity_max": 2.7755575615628914e-16,
42 "operator_relative_error": 2.5505757618482353e-15,
43 "naive_factor_rms": 1.4142135623730951
44 },
45 {
46 "m": 3,
47 "phase_identity_max": 3.433175098891678e-16,
48 "operator_relative_error": 6.59984186903115e-15,
49 "naive_factor_rms": 1.4142135623730951
50 }
51 ],
52 "max_phase_error": 3.433175098891678e-16,
53 "max_operator_error": 6.59984186903115e-15,
54 "naive_nonzero_mean": 1.4142135623730951
55 },
56 "mlp": {
57 "training_steps": 900,
58 "test_rows": [
59 {
60 "m": -3,
61 "raw_rmse": 0.8345807790756226,
62 "canonical_gauge_rmse": 0.023443683981895447
63 },
64 {
65 "m": -2,
66 "raw_rmse": 0.9050758481025696,
67 "canonical_gauge_rmse": 0.023443683981895447
68 },
69 {
70 "m": -1,
71 "raw_rmse": 1.0948097705841064,
72 "canonical_gauge_rmse": 0.023443685844540596
73 },
74 {
75 "m": 0,
76 "raw_rmse": 0.026922335848212242,
77 "canonical_gauge_rmse": 0.023443685844540596
78 },
79 {
80 "m": 1,
81 "raw_rmse": 0.9201655387878418,
82 "canonical_gauge_rmse": 0.023443685844540596
83 },
84 {
85 "m": 2,
86 "raw_rmse": 0.79060298204422,
87 "canonical_gauge_rmse": 0.023443683981895447
88 },
89 {
90 "m": 3,
91 "raw_rmse": 0.7406444549560547,
92 "canonical_gauge_rmse": 0.023443683981895447
93 }
94 ],
95 "raw_nonzero_mean": 0.8809798955917358,
96 "canonical_nonzero_mean": 0.023443684602777164
97 }
98}