Prolate Energy-Preserving Bottleneck / results.json

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 1{
 2  "config": {
 3    "T": 96,
 4    "W": 0.22,
 5    "delta": 0.1,
 6    "samples": 1200
 7  },
 8  "math_check": {
 9    "min_eigenvalue": -8.069498770712506e-16,
10    "max_eigenvalue": 1.000000000000001,
11    "eigenvalues_in_unit_interval": true,
12    "trace": 42.24000000000001,
13    "time_bandwidth_2WT": 42.24,
14    "asymptotic_rank": 43.71643531481711,
15    "asymptotic_rank_clipped_ceiling": 44,
16    "empirical_rank_above_delta": 44,
17    "empirical_rank_relative_error": 0.041666666666666616,
18    "energy_retained_at_asym_rank": 0.9989977508595901,
19    "energy_retained_above_delta_rank": 0.9989977508595901
20  },
21  "curves": [
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24      "dpss_error": 0.813735876243103,
25      "fourier_error": 0.8146745197000378,
26      "random_error": 0.9199956653065828
27    },
28    {
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30      "dpss_error": 0.7211147033147957,
31      "fourier_error": 0.7193262785081396,
32      "random_error": 0.8816482143804194
33    },
34    {
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36      "dpss_error": 0.6248968482453968,
37      "fourier_error": 0.6251988482583897,
38      "random_error": 0.8358692313267218
39    },
40    {
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42      "dpss_error": 0.5313920092350218,
43      "fourier_error": 0.5322603798248434,
44      "random_error": 0.790397598995195
45    },
46    {
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48      "dpss_error": 0.43620651675880945,
49      "fourier_error": 0.43947837525147276,
50      "random_error": 0.7467911534046422
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52    {
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54      "dpss_error": 0.3406292193086793,
55      "fourier_error": 0.34702655973366286,
56      "random_error": 0.7076101462598224
57    },
58    {
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60      "dpss_error": 0.24544811163703742,
61      "fourier_error": 0.25280669805767725,
62      "random_error": 0.6611789856011976
63    },
64    {
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66      "dpss_error": 0.05625131034266519,
67      "fourier_error": 0.06412038051240072,
68      "random_error": 0.5922914553413696
69    },
70    {
71      "rank": 48,
72      "dpss_error": 5.127773927611976e-07,
73      "fourier_error": 0.005902873083433147,
74      "random_error": 0.5017678719089841
75    }
76  ],
77  "comparison_at_asym_rank": {
78    "rank": 44,
79    "dpss_error": 0.0010753531585418871,
80    "fourier_error": 0.008819664689474876,
81    "random_error": null,
82    "quadratic_attention_work_fraction": 0.21006944444444442,
83    "quadratic_attention_work_reduction": 0.7899305555555556
84  }
85}