1{
 2  "sanity": {
 3    "nilpotent_spectral_radius": 0.0,
 4    "nilpotent_A_power_n_frobenius": 0.0,
 5    "nilpotent_walk_energy": 3.663660067083123,
 6    "nilpotent_terms": [
 7      1.7499999650000007,
 8      0.9599999616000016,
 9      0.5119999692800014,
10      0.2621439790284812,
11      0.1258291074170889,
12      0.05368708475754957
13    ],
14    "symmetric_control_walk_energy": 4.008271679187622e-34,
15    "symmetric_control_terms": [
16      0.0,
17      0.0,
18      0.0,
19      1.0097419586828955e-34,
20      2.584939414228213e-34,
21      4.1359030627651407e-35
22    ],
23    "phi_star_0.8": 0.40000000000000013,
24    "max_iterative_power_error": 1.1102230246251565e-16,
25    "energy_positive_before_nilpotency": true
26  },
27  "per_seed": [
28    {
29      "seed": 7,
30      "baseline": {
31        "device": "cuda",
32        "final_loss_mean_last50": 0.014797290246933699,
33        "walk_energy_mean_last50": 0.7913755369186402,
34        "gradient_norm_mean_last50": 0.004266096525623456,
35        "lambda": 0.0,
36        "target": 0.0
37      },
38      "walk_regularized": {
39        "device": "cuda",
40        "final_loss_mean_last50": 0.014359263125807048,
41        "walk_energy_mean_last50": 0.6921501350402832,
42        "gradient_norm_mean_last50": 0.004593075226853568,
43        "lambda": 2.0,
44        "target": 0.7913755369186402
45      }
46    },
47    {
48      "seed": 19,
49      "baseline": {
50        "device": "cuda",
51        "final_loss_mean_last50": 0.018387146443128586,
52        "walk_energy_mean_last50": 1.0650292587280275,
53        "gradient_norm_mean_last50": 0.0042719172524872985,
54        "lambda": 0.0,
55        "target": 0.0
56      },
57      "walk_regularized": {
58        "device": "cuda",
59        "final_loss_mean_last50": 0.01844158325344324,
60        "walk_energy_mean_last50": 1.0318968868255616,
61        "gradient_norm_mean_last50": 0.004265845058294897,
62        "lambda": 2.0,
63        "target": 1.0650292587280275
64      }
65    },
66    {
67      "seed": 31,
68      "baseline": {
69        "device": "cuda",
70        "final_loss_mean_last50": 0.014679191634058952,
71        "walk_energy_mean_last50": 0.6777048826217651,
72        "gradient_norm_mean_last50": 0.004891619311438719,
73        "lambda": 0.0,
74        "target": 0.0
75      },
76      "walk_regularized": {
77        "device": "cuda",
78        "final_loss_mean_last50": 0.019332975931465626,
79        "walk_energy_mean_last50": 0.6767574048042297,
80        "gradient_norm_mean_last50": 0.0066897143276294264,
81        "lambda": 2.0,
82        "target": 0.6777048826217651
83      }
84    }
85  ],
86  "mean_last50": {
87    "baseline_loss": 0.01595454277470708,
88    "idea_loss": 0.017377940770238635,
89    "baseline_walk_energy": 0.8447032260894775,
90    "idea_walk_energy": 0.8002681422233581,
91    "baseline_gradient_norm": 0.004476544363183157,
92    "idea_gradient_norm": 0.005182878204259297
93  },
94  "all_seeds_lower_energy": true,
95  "all_seeds_lower_loss": false
96}