1{
  2  "seed": 1163,
  3  "predictions": {
  4    "P1_rank_sampling_scaling": "rank covariance error should scale as n^-1/2 after monotone marginal distortion",
  5    "P2_outlier_influence": "raw variance coefficient versus A^2 should approach q(1-q)=0.0475; rank variance should remain bounded",
  6    "P3_eigen_specific_cleaning": "bulk contraction should reduce covariance error while retaining top spike"
  7  },
  8  "observed": {
  9    "P1_rows": [
 10      {
 11        "n": 64,
 12        "raw_relerr": 9.627445515131965,
 13        "rank_relerr": 0.12752087486906927,
 14        "rank_sd": 0.0077814080743867226
 15      },
 16      {
 17        "n": 128,
 18        "raw_relerr": 8.550812475957713,
 19        "rank_relerr": 0.09299084186579426,
 20        "rank_sd": 0.004832772149723181
 21      },
 22      {
 23        "n": 256,
 24        "raw_relerr": 8.31347696293776,
 25        "rank_relerr": 0.06468969880253567,
 26        "rank_sd": 0.0027468181696894273
 27      },
 28      {
 29        "n": 512,
 30        "raw_relerr": 7.958248692270368,
 31        "rank_relerr": 0.046971362173094916,
 32        "rank_sd": 0.001984766746976157
 33      },
 34      {
 35        "n": 1024,
 36        "raw_relerr": 8.242516751951532,
 37        "rank_relerr": 0.028335104293481763,
 38        "rank_sd": 0.0012234488206997083
 39      }
 40    ],
 41    "P1_loglog_slope": -0.5325449236995332,
 42    "P2_rows": [
 43      {
 44        "A": 0,
 45        "raw_relerr": 0.13955397901850178,
 46        "rank_relerr": 0.10399218382750393,
 47        "raw_var0": 1.0131367468587391,
 48        "rank_var0": 0.9949828386117898
 49      },
 50      {
 51        "A": 2,
 52        "raw_relerr": 0.15852610988036184,
 53        "rank_relerr": 0.11244665029125489,
 54        "raw_var0": 1.170388853312168,
 55        "rank_var0": 0.9949828386117897
 56      },
 57      {
 58        "A": 5,
 59        "raw_relerr": 0.3243089341483496,
 60        "rank_relerr": 0.11013023599702595,
 61        "raw_var0": 2.108980335146783,
 62        "rank_var0": 0.9949828386117898
 63      },
 64      {
 65        "A": 10,
 66        "raw_relerr": 1.1655031460557297,
 67        "rank_relerr": 0.11533131439032196,
 68        "raw_var0": 5.4388863554692986,
 69        "rank_var0": 0.9949828386117898
 70      },
 71      {
 72        "A": 20,
 73        "raw_relerr": 4.649857727304761,
 74        "rank_relerr": 0.11873543086859861,
 75        "raw_var0": 18.887928136728245,
 76        "rank_var0": 0.9949828386117897
 77      },
 78      {
 79        "A": 50,
 80        "raw_relerr": 29.04385953139562,
 81        "rank_relerr": 0.11831776783813837,
 82        "raw_var0": 112.93228285660875,
 83        "rank_var0": 0.9949828386117897
 84      }
 85    ],
 86    "P2_raw_A2_coefficient": 0.04478674552133152,
 87    "P2_predicted_coefficient": 0.0475,
 88    "P3_rows": [
 89      {
 90        "spike": 1,
 91        "raw_cov_error": 0.9993310043924628,
 92        "clean_cov_error": 0.6280693057159472,
 93        "top_raw": 1.5018120005700746,
 94        "top_clean": 1.5018120005700746,
 95        "clean_win": 1.0
 96      },
 97      {
 98        "spike": 2,
 99        "raw_cov_error": 1.1438513127701158,
100        "clean_cov_error": 0.808995436404669,
101        "top_raw": 1.7950711958169931,
102        "top_clean": 1.7950711958169931,
103        "clean_win": 1.0
104      },
105      {
106        "spike": 4,
107        "raw_cov_error": 1.7159793419567293,
108        "clean_cov_error": 1.5368681875991579,
109        "top_raw": 2.8852101335647706,
110        "top_clean": 2.8852101335647706,
111        "clean_win": 1.0
112      },
113      {
114        "spike": 8,
115        "raw_cov_error": 5.300344007341902,
116        "clean_cov_error": 5.193192829445812,
117        "top_raw": 3.442518563640547,
118        "top_clean": 3.442518563640547,
119        "clean_win": 1.0
120      }
121    ]
122  },
123  "elapsed_sec": 0.7110717296600342
124}