repro-bundle/outputs/summary.json

{
  "rows": [
    {
      "t": 0,
      "basin1_mass": 0.466,
      "outside_mass": 0.008,
      "reward1_variance": 1046.8148026988124
    },
    {
      "t": 1,
      "basin1_mass": 0.51,
      "outside_mass": 0.0,
      "reward1_variance": 1257.315233673563
    },
    {
      "t": 2,
      "basin1_mass": 0.538,
      "outside_mass": 0.004,
      "reward1_variance": 1223.6832258041677
    },
    {
      "t": 3,
      "basin1_mass": 0.488,
      "outside_mass": 0.002,
      "reward1_variance": 1233.0964115585593
    },
    {
      "t": 4,
      "basin1_mass": 0.52,
      "outside_mass": 0.0,
      "reward1_variance": 1252.1828396406324
    },
    {
      "t": 5,
      "basin1_mass": 0.502,
      "outside_mass": 0.0,
      "reward1_variance": 1260.852394663328
    },
    {
      "t": 6,
      "basin1_mass": 0.47,
      "outside_mass": 0.0,
      "reward1_variance": 1257.2908840503192
    },
    {
      "t": 7,
      "basin1_mass": 0.438,
      "outside_mass": 0.0,
      "reward1_variance": 1234.1347083331304
    },
    {
      "t": 8,
      "basin1_mass": 0.528,
      "outside_mass": 0.0,
      "reward1_variance": 1255.8601653546593
    },
    {
      "t": 9,
      "basin1_mass": 0.494,
      "outside_mass": 0.0,
      "reward1_variance": 1253.1477108162944
    },
    {
      "t": 10,
      "basin1_mass": 0.52,
      "outside_mass": 0.0,
      "reward1_variance": 1243.7380587916502
    },
    {
      "t": 11,
      "basin1_mass": 0.494,
      "outside_mass": 0.0,
      "reward1_variance": 1253.8984117336959
    },
    {
      "t": 12,
      "basin1_mass": 0.504,
      "outside_mass": 0.0,
      "reward1_variance": 1269.4621098442665
    },
    {
      "t": 13,
      "basin1_mass": 0.484,
      "outside_mass": 0.0,
      "reward1_variance": 1270.9125005708045
    },
    {
      "t": 14,
      "basin1_mass": 0.536,
      "outside_mass": 0.0,
      "reward1_variance": 1272.6941435454335
    },
    {
      "t": 15,
      "basin1_mass": 0.492,
      "outside_mass": 0.0,
      "reward1_variance": 1289.385762710698
    },
    {
      "t": 16,
      "basin1_mass": 0.488,
      "outside_mass": 0.0,
      "reward1_variance": 1296.7571649144427
    },
    {
      "t": 17,
      "basin1_mass": 0.494,
      "outside_mass": 0.0,
      "reward1_variance": 1292.4819058863227
    },
    {
      "t": 18,
      "basin1_mass": 0.554,
      "outside_mass": 0.0,
      "reward1_variance": 1276.5626202850192
    },
    {
      "t": 19,
      "basin1_mass": 0.472,
      "outside_mass": 0.0,
      "reward1_variance": 1279.974559170553
    },
    {
      "t": 20,
      "basin1_mass": 0.522,
      "outside_mass": 0.0,
      "reward1_variance": 1279.7260086424437
    },
    {
      "t": 21,
      "basin1_mass": 0.488,
      "outside_mass": 0.0,
      "reward1_variance": 1289.2493710985402
    },
    {
      "t": 22,
      "basin1_mass": 0.522,
      "outside_mass": 0.0,
      "reward1_variance": 1294.0368913552559
    },
    {
      "t": 23,
      "basin1_mass": 0.544,
      "outside_mass": 0.0,
      "reward1_variance": 1291.9811390744069
    },
    {
      "t": 24,
      "basin1_mass": 0.478,
      "outside_mass": 0.0,
      "reward1_variance": 1310.1529883128937
    },
    {
      "t": 25,
      "basin1_mass": 0.484,
      "outside_mass": 0.0,
      "reward1_variance": 1315.4224704830676
    },
    {
      "t": 26,
      "basin1_mass": 0.482,
      "outside_mass": 0.0,
      "reward1_variance": 1326.046095906171
    },
    {
      "t": 27,
      "basin1_mass": 0.52,
      "outside_mass": 0.0,
      "reward1_variance": 1325.7239052006257
    },
    {
      "t": 28,
      "basin1_mass": 0.53,
      "outside_mass": 0.0,
      "reward1_variance": 1326.3291328791474
    },
    {
      "t": 29,
      "basin1_mass": 0.536,
      "outside_mass": 0.0,
      "reward1_variance": 1326.7912915051406
    }
  ],
  "final_basin1_mass": 0.536,
  "max_outside_mass_last_10": 0.0,
  "nash_argmax": 0.5,
  "q": 0.5,
  "scope": "scaled Gaussian-mixture mechanism check; CIFAR-10 flow and text retraining not rerun",
  "theorem_qualifications": [
    "Lemma 3 also assumes uniform outside domination, not only positive leakage gaps.",
    "Lemma 5 bounds liminf/limsup and does not prove convergence of a_t.",
    "Theorem 6 is strictly positive only when Delta_i>2 epsilon.",
    "Retraining/Nash equality needs Proposition 4 and Corollary 8 idealizations, not Theorem 7 alone."
  ]
}