1{
 2  "seed": 1234,
 3  "device": "cuda",
 4  "L": 5,
 5  "n_samples": 240,
 6  "math_predictions": {
 7    "rotation_and_sign_invariance": "feature RMS error should be numerical zero for every flip probability",
 8    "shell_invariance": "max absolute error should remain numerical zero as shells increase",
 9    "P2_evenness": "P2(x)-P2(-x) should be exactly zero"
10  },
11  "invariance_sweep": [
12    {
13      "flip_probability": 0,
14      "observed_rms_feature_error": 0.0,
15      "raw_rms_vector_error": 0.8719326019226343
16    },
17    {
18      "flip_probability": 0.25,
19      "observed_rms_feature_error": 0.0,
20      "raw_rms_vector_error": 0.7873550458918438
21    },
22    {
23      "flip_probability": 0.5,
24      "observed_rms_feature_error": 0.0,
25      "raw_rms_vector_error": 0.8173445637417917
26    },
27    {
28      "flip_probability": 0.75,
29      "observed_rms_feature_error": 0.0,
30      "raw_rms_vector_error": 0.8098410187899177
31    },
32    {
33      "flip_probability": 1.0,
34      "observed_rms_feature_error": 0.0,
35      "raw_rms_vector_error": 0.837383012957255
36    }
37  ],
38  "shell_sweep": [
39    {
40      "shells": 1,
41      "observed_max_abs_error": 0.0,
42      "predicted": 0.0
43    },
44    {
45      "shells": 2,
46      "observed_max_abs_error": 0.0,
47      "predicted": 0.0
48    },
49    {
50      "shells": 3,
51      "observed_max_abs_error": 0.0,
52      "predicted": 0.0
53    },
54    {
55      "shells": 4,
56      "observed_max_abs_error": 0.0,
57      "predicted": 0.0
58    }
59  ],
60  "p2_even_max_error": 0.0,
61  "phase_experiment": {
62    "raw_reconstruction_mse": 0.32357633113861084,
63    "invariant_reconstruction_mse": 0.02332080528140068,
64    "raw_abs_latent_S_correlations": [
65      0.1425247346336275,
66      0.03599715832762877
67    ],
68    "invariant_abs_latent_S_correlations": [
69      0.9963475488261233,
70      0.9976957769352353
71    ],
72    "raw_best_abs_corr": 0.1425247346336275,
73    "invariant_best_abs_corr": 0.9976957769352353,
74    "mean_S_iso": 0.06944233350604005,
75    "mean_S_nematic": 0.8484668045415314
76  }
77}