Signed spectral attention / results.json

Mechanism confirmed, baseline not beaten

Raw ⬇ ZIP
 1{
 2  "kernel": "exp(-0.5*(0.5u)^2) - 0.8 exp(-0.5*(2u)^2)",
 3  "C": 1.8,
 4  "negative_mass_fraction": 0.4444444444444445,
 5  "prediction_1_M_minus_half": {
 6    "M": [
 7      16,
 8      32,
 9      64,
10      128,
11      256,
12      512
13    ],
14    "signed_rmse": [
15      0.3299664371039374,
16      0.2326648473048156,
17      0.14239037359941317,
18      0.1201072591717716,
19      0.086949104857414,
20      0.06134330164369742
21    ],
22    "slope": -0.47549333161675117,
23    "predicted_slope": -0.5,
24    "signed_bias_at_M512": 0.0037061901716393983
25  },
26  "prediction_2_positive_features": {
27    "positive_rmse": [
28      0.6805472763519574,
29      0.6558889029001848,
30      0.6452381799338172,
31      0.6406749552840334,
32      0.6333002806205139,
33      0.6312193380739165
34    ],
35    "predicted_asymptotic_rmse": 0.6308065765211831
36  },
37  "prediction_3_negative_mass_sweep": [
38    {
39      "negative_amplitude": 0.0,
40      "negative_mass_fraction": 0.0,
41      "observed_positive_limit_rmse": 0.0,
42      "predicted_linear_rmse": 0.0
43    },
44    {
45      "negative_amplitude": 0.2,
46      "negative_mass_fraction": 0.16666666666666669,
47      "observed_positive_limit_rmse": 0.15770164413029578,
48      "predicted_linear_rmse": 0.15770164413029578
49    },
50    {
51      "negative_amplitude": 0.5,
52      "negative_mass_fraction": 0.3333333333333333,
53      "observed_positive_limit_rmse": 0.3942541103257394,
54      "predicted_linear_rmse": 0.3942541103257394
55    },
56    {
57      "negative_amplitude": 0.8,
58      "negative_mass_fraction": 0.4444444444444445,
59      "observed_positive_limit_rmse": 0.6308065765211831,
60      "predicted_linear_rmse": 0.6308065765211831
61    },
62    {
63      "negative_amplitude": 1.2,
64      "negative_mass_fraction": 0.5454545454545454,
65      "observed_positive_limit_rmse": 0.9462098647817746,
66      "predicted_linear_rmse": 0.9462098647817746
67    }
68  ],
69  "aggregation": {
70    "n": 220,
71    "r": 8,
72    "M": 128,
73    "relative_errors": [
74      0.3028757430411043,
75      0.1386282815224914,
76      0.3452929800992379,
77      0.138459115271544,
78      0.11493713939902751,
79      0.3547117422240232,
80      0.12407732708945335,
81      0.1608050567940977,
82      0.14313981250424462,
83      0.1465605142157555,
84      0.30725179874602426,
85      0.27773942305632,
86      0.2646082789423787,
87      0.20907204351659783,
88      0.17068398495535725,
89      0.18834132192276148,
90      0.06677140419461663,
91      0.1888682610450566,
92      0.1089581755249588,
93      0.20256475723549305
94    ],
95    "median_exact_seconds": 0.005891880005947314,
96    "median_signed_factor_seconds": 0.0113651249994291
97  }
98}