Poisson-Calibrated Candidate-Pool Scheduler / results.json

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  1{
  2  "seed": 2136,
  3  "theory": {
  4    "action": "uniform box, Q(u)=-||u||^2",
  5    "kappa": 2.0
  6  },
  7  "scaling_checks": {
  8    "1": {
  9      "N": [
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 11        8,
 12        16,
 13        32,
 14        64,
 15        128,
 16        256
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 18      "mean_deficit": [
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 20        0.022636377682861506,
 21        0.006528169534484174,
 22        0.0017875689851673177,
 23        0.0004578994655922372,
 24        0.00012140445360598402,
 25        3.023320829182972e-05
 26      ],
 27      "observed_loglog_slope": -1.8650658444171606,
 28      "predicted_loglog_slope": -2.0,
 29      "observed_doubling_ratio_mean": 0.2789022582354856,
 30      "predicted_doubling_ratio": 0.25,
 31      "doubling_ratios": [
 32        0.34087687865703326,
 33        0.28839285268803383,
 34        0.27382392196230904,
 35        0.2561576472806041,
 36        0.2651334249734538,
 37        0.2490288238514796
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 39    },
 40    "2": {
 41      "N": [
 42        4,
 43        8,
 44        16,
 45        32,
 46        64,
 47        128,
 48        256
 49      ],
 50      "mean_deficit": [
 51        0.25821817408976405,
 52        0.13893883213603778,
 53        0.0750868579475538,
 54        0.038825207082835766,
 55        0.019679357675239758,
 56        0.009771275682382357,
 57        0.00492897792583224
 58      ],
 59      "observed_loglog_slope": -0.9544596505812625,
 60      "predicted_loglog_slope": -1.0,
 61      "observed_doubling_ratio_mean": 0.5172332435833921,
 62      "predicted_doubling_ratio": 0.5,
 63      "doubling_ratios": [
 64        0.5380675958452817,
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 66        0.5170706052176821,
 67        0.5068706429112597,
 68        0.49652411646933037,
 69        0.504435458178629
 70      ]
 71    }
 72  },
 73  "scheduler_scaling_check": {
 74    "beta": 0.9,
 75    "C_hat": 1.2554489046264004,
 76    "C_exact_asymptotic": 1.2732395447351628,
 77    "C_hat_over_C_exact": 0.9860272639329131,
 78    "epsilons": [
 79      0.04,
 80      0.02,
 81      0.01,
 82      0.005
 83    ],
 84    "scheduled_N": [
 85      314,
 86      628,
 87      1256,
 88      2511
 89    ],
 90    "measured_mean_delta": [
 91      0.004022013260628948,
 92      0.0020138474084132286,
 93      0.0010023714128676862,
 94      0.0005102458916812143
 95    ],
 96    "measured_delta_over_1_minus_beta": [
 97      0.04022013260628949,
 98      0.02013847408413229,
 99      0.010023714128676864,
100      0.005102458916812144
101    ],
102    "expected_value_proxy_at_schedule": [
103      0.040549030087107106,
104      0.020274515043553553,
105      0.010137257521776777,
106      0.005070647330685635
107    ],
108    "mean_expected_proxy_over_epsilon": 1.01382668066754,
109    "observed_loglog_N_vs_epsilon_slope": -0.9998276693139629,
110    "predicted_loglog_N_vs_epsilon_slope": -1.0,
111    "fraction_meeting_epsilon_bound": 0.0
112  },
113  "mini_comparison": [
114    {
115      "method": "fixed_N=8",
116      "mean_evaluations": 8,
117      "mean_delta": 0.16419592083685855,
118      "mean_value_error_proxy": 1.6419592083685857,
119      "fraction_value_proxy_le_eps": 0.007666666666666666
120    },
121    {
122      "method": "fixed_N=32",
123      "mean_evaluations": 32,
124      "mean_delta": 0.04499299744646731,
125      "mean_value_error_proxy": 0.4499299744646731,
126      "fraction_value_proxy_le_eps": 0.03766666666666667
127    },
128    {
129      "method": "fixed_N=118",
130      "mean_evaluations": 118,
131      "mean_delta": 0.012764775954553246,
132      "mean_value_error_proxy": 0.1276477595455325,
133      "fraction_value_proxy_le_eps": 0.136
134    },
135    {
136      "method": "fixed_N=128",
137      "mean_evaluations": 128,
138      "mean_delta": 0.011785689513341488,
139      "mean_value_error_proxy": 0.11785689513341491,
140      "fraction_value_proxy_le_eps": 0.14933333333333335
141    },
142    {
143      "method": "adaptive_scheduler",
144      "mean_evaluations": 117.86833333333334,
145      "mean_delta": 0.016230854836525168,
146      "mean_value_error_proxy": 0.16230854836525171,
147      "fraction_value_proxy_le_eps": 0.129,
148      "pool_min": 8,
149      "pool_median": 128.0,
150      "pool_max": 128
151    }
152  ]
153}