Faithful Latent Fixed-Point Solver / results.json

Mechanism confirmed, baseline not beaten

Raw ⬇ ZIP
  1{
  2  "device": "cuda",
  3  "exact_predictions": {
  4    "contraction_boundary": [
  5      {
  6        "gamma": 0.6,
  7        "predicted_contracts": true,
  8        "observed_contracts": true,
  9        "12_step_ratio": 0.0021767823359999995
 10      },
 11      {
 12        "gamma": 0.9,
 13        "predicted_contracts": true,
 14        "observed_contracts": true,
 15        "12_step_ratio": 0.28242953648100017
 16      },
 17      {
 18        "gamma": 0.99,
 19        "predicted_contracts": true,
 20        "observed_contracts": true,
 21        "12_step_ratio": 0.8863848717161291
 22      },
 23      {
 24        "gamma": 1.0,
 25        "predicted_contracts": false,
 26        "observed_contracts": false,
 27        "12_step_ratio": 1.0
 28      },
 29      {
 30        "gamma": 1.01,
 31        "predicted_contracts": false,
 32        "observed_contracts": false,
 33        "12_step_ratio": 1.1268250301319698
 34      },
 35      {
 36        "gamma": 1.2,
 37        "predicted_contracts": false,
 38        "observed_contracts": false,
 39        "12_step_ratio": 8.916100448255998
 40      }
 41    ],
 42    "rank_threshold": [
 43      {
 44        "m": 1,
 45        "predicted_zero_residual": false,
 46        "observed_reconstruction_rmse": 1.3580127872994237
 47      },
 48      {
 49        "m": 2,
 50        "predicted_zero_residual": true,
 51        "observed_reconstruction_rmse": 7.009263568199308e-08
 52      },
 53      {
 54        "m": 3,
 55        "predicted_zero_residual": true,
 56        "observed_reconstruction_rmse": 6.040661171869275e-08
 57      }
 58    ],
 59    "rate_transfer": [
 60      {
 61        "gamma": 0.55,
 62        "predicted_asymptotic_rate": 0.55,
 63        "observed_rate": 0.55
 64      },
 65      {
 66        "gamma": 0.7,
 67        "predicted_asymptotic_rate": 0.7,
 68        "observed_rate": 0.7
 69      },
 70      {
 71        "gamma": 0.82,
 72        "predicted_asymptotic_rate": 0.82,
 73        "observed_rate": 0.82
 74      },
 75      {
 76        "gamma": 0.92,
 77        "predicted_asymptotic_rate": 0.92,
 78        "observed_rate": 0.92
 79      }
 80    ]
 81  },
 82  "learned_sweep": [
 83    {
 84      "enc_residual": 0.008329980075359344,
 85      "decode_residual": 0.2634205222129822,
 86      "reconstruction": 0.44254061579704285,
 87      "decoded_fixed_point_residual": 0.04089871421456337,
 88      "decoded_rate": 0.8153770876266768,
 89      "predicted_rate": 0.82,
 90      "m": 1
 91    },
 92    {
 93      "enc_residual": 4.997740887802138e-08,
 94      "decode_residual": 4.77521808761594e-08,
 95      "reconstruction": 5.533928870704585e-08,
 96      "decoded_fixed_point_residual": 5.6864088548991276e-08,
 97      "decoded_rate": 0.8026181947526162,
 98      "predicted_rate": 0.82,
 99      "m": 2
100    },
101    {
102      "enc_residual": 5.944584913208928e-08,
103      "decode_residual": 6.582123290854724e-08,
104      "reconstruction": 6.327855572862973e-08,
105      "decoded_fixed_point_residual": 8.568167686462402e-08,
106      "decoded_rate": 0.8026180604199671,
107      "predicted_rate": 0.82,
108      "m": 3
109    }
110  ],
111  "comparison": {
112    "baseline_S_evals": 12,
113    "idea_S_evals": 0,
114    "idea_T_evals": 12,
115    "baseline_fixed_point_rmse": 0.04168358072638512,
116    "idea_fixed_point_rmse": 0.04172297194600105,
117    "baseline_output_residual": 0.007508575916290283,
118    "idea_output_residual": 0.0075163026340305805
119  }
120}