{
  "seed": 97,
  "checkpoint": "checkpoints/phase_wake_seed97.pt",
  "sample_count": 256,
  "bytes_per_scene": 64,
  "task": "four independently colored 2x2 marks in 32x32 scenes",
  "phase_statistics": {
    "min_rad": -1.1247059106826782,
    "max_rad": 1.1247059106826782,
    "mean_rad": -0.07916013896465302,
    "std_rad": 0.5154834985733032,
    "unique_byte_values_across_all_scenes": 239,
    "pooled_byte_entropy_bits": 7.667708908343801,
    "fraction_bytes_near_0_or_255": 0.0,
    "mean_between_scene_byte_std_per_cell": 49.11701965332031,
    "max_between_scene_byte_std_per_cell": 83.0472183227539
  },
  "counterfactual_per_quadrant": {
    "0": {
      "source_changed_pixels": 4,
      "mean_changed_phase_bytes": 12.84375,
      "mean_absolute_byte_delta": 18.479248046875,
      "fraction_change_inside_target_quadrant_mean": 0.993061900138855,
      "fraction_change_outside_target_quadrant_mean": 0.006938030943274498,
      "number_of_zero_effect_samples": 0,
      "original_accuracy_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      },
      "flipped_mark_accuracy_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      },
      "unchanged_other_question_predictions_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      }
    },
    "1": {
      "source_changed_pixels": 4,
      "mean_changed_phase_bytes": 12.76953125,
      "mean_absolute_byte_delta": 18.54217529296875,
      "fraction_change_inside_target_quadrant_mean": 0.9913718700408936,
      "fraction_change_outside_target_quadrant_mean": 0.008628121577203274,
      "number_of_zero_effect_samples": 0,
      "original_accuracy_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      },
      "flipped_mark_accuracy_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      },
      "unchanged_other_question_predictions_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      }
    },
    "2": {
      "source_changed_pixels": 4,
      "mean_changed_phase_bytes": 12.76953125,
      "mean_absolute_byte_delta": 18.5302734375,
      "fraction_change_inside_target_quadrant_mean": 0.9892981052398682,
      "fraction_change_outside_target_quadrant_mean": 0.010701925493776798,
      "number_of_zero_effect_samples": 0,
      "original_accuracy_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      },
      "flipped_mark_accuracy_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      },
      "unchanged_other_question_predictions_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      }
    },
    "3": {
      "source_changed_pixels": 4,
      "mean_changed_phase_bytes": 12.63671875,
      "mean_absolute_byte_delta": 18.53448486328125,
      "fraction_change_inside_target_quadrant_mean": 0.9867611527442932,
      "fraction_change_outside_target_quadrant_mean": 0.0132388174533844,
      "number_of_zero_effect_samples": 0,
      "original_accuracy_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      },
      "flipped_mark_accuracy_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      },
      "unchanged_other_question_predictions_by_reader": {
        "commutator": 1.0,
        "ordered_pair": 1.0,
        "phase_gradient": 1.0,
        "coherent_mean": 1.0,
        "direct_phase": 1.0,
        "amplitude_code": 1.0
      }
    }
  },
  "example": {
    "quadrant_0": {
      "original_is_blue": true,
      "original_8x8_bytes": [
        [
          89,
          36,
          160,
          154,
          59,
          29,
          242,
          99
        ],
        [
          89,
          29,
          44,
          93,
          32,
          14,
          57,
          72
        ],
        [
          118,
          62,
          49,
          103,
          126,
          20,
          71,
          73
        ],
        [
          104,
          107,
          112,
          100,
          130,
          126,
          163,
          73
        ],
        [
          92,
          54,
          151,
          154,
          147,
          199,
          245,
          36
        ],
        [
          106,
          37,
          56,
          112,
          154,
          210,
          240,
          194
        ],
        [
          125,
          76,
          53,
          88,
          144,
          134,
          219,
          145
        ],
        [
          117,
          103,
          91,
          93,
          101,
          122,
          118,
          94
        ]
      ],
      "counterfactual_8x8_bytes": [
        [
          140,
          190,
          121,
          64,
          59,
          29,
          242,
          99
        ],
        [
          124,
          200,
          202,
          131,
          32,
          14,
          57,
          72
        ],
        [
          92,
          121,
          171,
          140,
          126,
          20,
          71,
          73
        ],
        [
          104,
          107,
          112,
          100,
          130,
          126,
          163,
          73
        ],
        [
          92,
          54,
          151,
          154,
          147,
          199,
          245,
          36
        ],
        [
          106,
          37,
          56,
          112,
          154,
          210,
          240,
          194
        ],
        [
          125,
          76,
          53,
          88,
          144,
          134,
          219,
          145
        ],
        [
          117,
          103,
          91,
          93,
          101,
          122,
          118,
          94
        ]
      ],
      "absolute_byte_difference_8x8": [
        [
          51,
          154,
          39,
          90,
          0,
          0,
          0,
          0
        ],
        [
          35,
          171,
          158,
          38,
          0,
          0,
          0,
          0
        ],
        [
          26,
          59,
          122,
          37,
          0,
          0,
          0,
          0
        ],
        [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ]
      ],
      "original_tau_radians": [
        [
          -0.36239999532699585,
          -0.8611999750137329,
          0.3059000074863434,
          0.24940000474452972,
          -0.6446999907493591,
          -0.9271000027656555,
          1.0776000022888184,
          -0.26820001006126404
        ],
        [
          -0.36239999532699585,
          -0.9271000027656555,
          -0.7858999967575073,
          -0.3246999979019165,
          -0.8988000154495239,
          -1.0681999921798706,
          -0.6635000109672546,
          -0.5224000215530396
        ],
        [
          -0.08940000087022781,
          -0.6165000200271606,
          -0.7387999892234802,
          -0.2305999994277954,
          -0.014100000262260437,
          -1.0118000507354736,
          -0.5317999720573425,
          -0.5128999948501587
        ],
        [
          -0.22120000422000885,
          -0.19290000200271606,
          -0.14589999616146088,
          -0.2587999999523163,
          0.023499999195337296,
          -0.014100000262260437,
          0.33410000801086426,
          -0.5128999948501587
        ],
        [
          -0.33410000801086426,
          -0.6917999982833862,
          0.22120000422000885,
          0.24940000474452972,
          0.1835000067949295,
          0.6729000210762024,
          1.1059000492095947,
          -0.8611999750137329
        ],
        [
          -0.20239999890327454,
          -0.8518000245094299,
          -0.6729000210762024,
          -0.14589999616146088,
          0.24940000474452972,
          0.7764999866485596,
          1.0587999820709229,
          0.6258999705314636
        ],
        [
          -0.023499999195337296,
          -0.4846999943256378,
          -0.701200008392334,
          -0.3718000054359436,
          0.15530000627040863,
          0.06120000034570694,
          0.8611999750137329,
          0.1647000014781952
        ],
        [
          -0.09880000352859497,
          -0.2305999994277954,
          -0.3434999883174896,
          -0.3246999979019165,
          -0.24940000474452972,
          -0.05180000141263008,
          -0.08940000087022781,
          -0.31529998779296875
        ]
      ],
      "wake_magnitude_original": [
        [
          0.4936999976634979,
          1.1038999557495117,
          1.0398999452590942,
          1.0335999727249146,
          0.37869998812675476,
          1.6914000511169434,
          1.973099946975708,
          0.2703000009059906
        ],
        [
          0.6201000213623047,
          0.3400000035762787,
          0.4595000147819519,
          0.5740000009536743,
          0.8726999759674072,
          0.4059000015258789,
          0.19300000369548798,
          0.16009999811649323
        ],
        [
          0.5374000072479248,
          0.43779999017715454,
          0.770799994468689,
          0.21789999306201935,
          0.9574999809265137,
          1.0684000253677368,
          0.8392999768257141,
          0.4203999936580658
        ],
        [
          0.11640000343322754,
          0.4959000051021576,
          0.382099986076355,
          0.576200008392334,
          0.16419999301433563,
          0.7574999928474426,
          1.1145999431610107,
          0.4523000121116638
        ],
        [
          0.37929999828338623,
          0.8959000110626221,
          0.8651000261306763,
          0.39820000529289246,
          0.48899999260902405,
          0.44190001487731934,
          1.6655999422073364,
          1.450600028038025
        ],
        [
          0.6625999808311462,
          0.40630000829696655,
          0.5217000246047974,
          0.4528000056743622,
          0.5293999910354614,
          0.7545999884605408,
          0.47269999980926514,
          0.9254999756813049
        ],
        [
          0.4632999897003174,
          0.3330000042915344,
          0.4837999939918518,
          0.5231000185012817,
          0.41280001401901245,
          0.7870000004768372,
          1.141700029373169,
          0.5112000107765198
        ],
        [
          0.2939000129699707,
          0.6304000020027161,
          0.6383000016212463,
          0.5712000131607056,
          0.43950000405311584,
          0.8485000133514404,
          1.1247999668121338,
          0.22110000252723694
        ]
      ]
    },
    "quadrant_3": {
      "original_is_blue": false,
      "original_8x8_bytes": [
        [
          89,
          36,
          160,
          154,
          59,
          29,
          242,
          99
        ],
        [
          89,
          29,
          44,
          93,
          32,
          14,
          57,
          72
        ],
        [
          118,
          62,
          49,
          103,
          126,
          20,
          71,
          73
        ],
        [
          104,
          107,
          112,
          100,
          130,
          126,
          163,
          73
        ],
        [
          92,
          54,
          151,
          154,
          147,
          199,
          245,
          36
        ],
        [
          106,
          37,
          56,
          112,
          154,
          210,
          240,
          194
        ],
        [
          125,
          76,
          53,
          88,
          144,
          134,
          219,
          145
        ],
        [
          117,
          103,
          91,
          93,
          101,
          122,
          118,
          94
        ]
      ],
      "counterfactual_8x8_bytes": [
        [
          89,
          36,
          160,
          154,
          59,
          29,
          242,
          99
        ],
        [
          89,
          29,
          44,
          93,
          32,
          14,
          57,
          72
        ],
        [
          118,
          62,
          49,
          103,
          126,
          20,
          71,
          73
        ],
        [
          104,
          107,
          112,
          100,
          130,
          108,
          130,
          115
        ],
        [
          92,
          54,
          151,
          154,
          147,
          52,
          62,
          220
        ],
        [
          106,
          37,
          56,
          112,
          154,
          50,
          33,
          49
        ],
        [
          125,
          76,
          53,
          88,
          144,
          152,
          57,
          51
        ],
        [
          117,
          103,
          91,
          93,
          101,
          122,
          118,
          94
        ]
      ],
      "absolute_byte_difference_8x8": [
        [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        [
          0,
          0,
          0,
          0,
          0,
          18,
          33,
          42
        ],
        [
          0,
          0,
          0,
          0,
          0,
          147,
          183,
          184
        ],
        [
          0,
          0,
          0,
          0,
          0,
          160,
          207,
          145
        ],
        [
          0,
          0,
          0,
          0,
          0,
          18,
          162,
          94
        ],
        [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ]
      ],
      "original_tau_radians": [
        [
          -0.36239999532699585,
          -0.8611999750137329,
          0.3059000074863434,
          0.24940000474452972,
          -0.6446999907493591,
          -0.9271000027656555,
          1.0776000022888184,
          -0.26820001006126404
        ],
        [
          -0.36239999532699585,
          -0.9271000027656555,
          -0.7858999967575073,
          -0.3246999979019165,
          -0.8988000154495239,
          -1.0681999921798706,
          -0.6635000109672546,
          -0.5224000215530396
        ],
        [
          -0.08940000087022781,
          -0.6165000200271606,
          -0.7387999892234802,
          -0.2305999994277954,
          -0.014100000262260437,
          -1.0118000507354736,
          -0.5317999720573425,
          -0.5128999948501587
        ],
        [
          -0.22120000422000885,
          -0.19290000200271606,
          -0.14589999616146088,
          -0.2587999999523163,
          0.023499999195337296,
          -0.014100000262260437,
          0.33410000801086426,
          -0.5128999948501587
        ],
        [
          -0.33410000801086426,
          -0.6917999982833862,
          0.22120000422000885,
          0.24940000474452972,
          0.1835000067949295,
          0.6729000210762024,
          1.1059000492095947,
          -0.8611999750137329
        ],
        [
          -0.20239999890327454,
          -0.8518000245094299,
          -0.6729000210762024,
          -0.14589999616146088,
          0.24940000474452972,
          0.7764999866485596,
          1.0587999820709229,
          0.6258999705314636
        ],
        [
          -0.023499999195337296,
          -0.4846999943256378,
          -0.701200008392334,
          -0.3718000054359436,
          0.15530000627040863,
          0.06120000034570694,
          0.8611999750137329,
          0.1647000014781952
        ],
        [
          -0.09880000352859497,
          -0.2305999994277954,
          -0.3434999883174896,
          -0.3246999979019165,
          -0.24940000474452972,
          -0.05180000141263008,
          -0.08940000087022781,
          -0.31529998779296875
        ]
      ],
      "wake_magnitude_original": [
        [
          0.4936999976634979,
          1.1038999557495117,
          1.0398999452590942,
          1.0335999727249146,
          0.37869998812675476,
          1.6914000511169434,
          1.973099946975708,
          0.2703000009059906
        ],
        [
          0.6201000213623047,
          0.3400000035762787,
          0.4595000147819519,
          0.5740000009536743,
          0.8726999759674072,
          0.4059000015258789,
          0.19300000369548798,
          0.16009999811649323
        ],
        [
          0.5374000072479248,
          0.43779999017715454,
          0.770799994468689,
          0.21789999306201935,
          0.9574999809265137,
          1.0684000253677368,
          0.8392999768257141,
          0.4203999936580658
        ],
        [
          0.11640000343322754,
          0.4959000051021576,
          0.382099986076355,
          0.576200008392334,
          0.16419999301433563,
          0.7574999928474426,
          1.1145999431610107,
          0.4523000121116638
        ],
        [
          0.37929999828338623,
          0.8959000110626221,
          0.8651000261306763,
          0.39820000529289246,
          0.48899999260902405,
          0.44190001487731934,
          1.6655999422073364,
          1.450600028038025
        ],
        [
          0.6625999808311462,
          0.40630000829696655,
          0.5217000246047974,
          0.4528000056743622,
          0.5293999910354614,
          0.7545999884605408,
          0.47269999980926514,
          0.9254999756813049
        ],
        [
          0.4632999897003174,
          0.3330000042915344,
          0.4837999939918518,
          0.5231000185012817,
          0.41280001401901245,
          0.7870000004768372,
          1.141700029373169,
          0.5112000107765198
        ],
        [
          0.2939000129699707,
          0.6304000020027161,
          0.6383000016212463,
          0.5712000131607056,
          0.43950000405311584,
          0.8485000133514404,
          1.1247999668121338,
          0.22110000252723694
        ]
      ]
    }
  },
  "notes": [
    "An 8x8 field derived by local convolutions has spatial receptive-field restrictions; localization by itself is not proof of a learned geometric principle.",
    "The phase bytes are a supervised visual code, not calibrated physical delays or material speeds.",
    "Original and perturbed examples are identical except for four RGB pixels in one mark.",
    "No data used in these inspections were used for training (fixed new common draw seed 20261014)."
  ]
}
