{
  "cells": [
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.96,
          "r1_tiou_0.5": 0.1525,
          "top1_tiou": 0.10316035353535354,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.4225,
          "r1_tiou_0.5": 0.1975,
          "top1_tiou": 0.17008664756074623,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.885,
          "r1_tiou_0.5": 0.0225,
          "top1_tiou": 0.10939270481768336,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.9675,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10874381868131866,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.13,
          "r1_tiou_0.5": 0.2425,
          "top1_tiou": 0.24004133943870662,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.31,
          "r1_tiou_0.5": 0.0375,
          "top1_tiou": 0.16430810835318554,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.9525,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.09908752117447768,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.4875,
          "r1_tiou_0.5": 0.3975,
          "top1_tiou": 0.3762872050211291,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.2725,
          "r1_tiou_0.5": 0.2025,
          "top1_tiou": 0.3341360957676055,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.93,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.085865292897462,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 15.4625,
          "r1_tiou_0.5": 0.4925,
          "top1_tiou": 0.45305168423236325,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 21.4175,
          "r1_tiou_0.5": 0.585,
          "top1_tiou": 0.5491788235313545,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.9275,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06539250200080032,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 21.1275,
          "r1_tiou_0.5": 0.56,
          "top1_tiou": 0.5044192102053272,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 13.8275,
          "r1_tiou_0.5": 0.9275,
          "top1_tiou": 0.7192004262319364,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.91,
          "r1_tiou_0.5": 0.505,
          "top1_tiou": 0.30363320707070707,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.01,
          "r1_tiou_0.5": 0.55,
          "top1_tiou": 0.46368872610953477,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.0425,
          "r1_tiou_0.5": 0.04,
          "top1_tiou": 0.1632551284771575,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.915,
          "r1_tiou_0.5": 0.0225,
          "top1_tiou": 0.2634027014652015,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 4.615,
          "r1_tiou_0.5": 0.78,
          "top1_tiou": 0.625774841500489,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 37.6225,
          "r1_tiou_0.5": 0.1675,
          "top1_tiou": 0.284014198265021,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.8975,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1860595238095238,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.4825,
          "r1_tiou_0.5": 0.87,
          "top1_tiou": 0.7414789827858611,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 27.1325,
          "r1_tiou_0.5": 0.4325,
          "top1_tiou": 0.4916128177715779,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.9325,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12356325200534758,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.99,
          "r1_tiou_0.5": 0.9225,
          "top1_tiou": 0.7975170161920577,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 18.06,
          "r1_tiou_0.5": 0.8,
          "top1_tiou": 0.6678773467779635,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.92,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08393932573029211,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.3775,
          "r1_tiou_0.5": 0.96,
          "top1_tiou": 0.8558980822574247,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 9.275,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8325179932443117,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.8825,
          "r1_tiou_0.5": 0.85,
          "top1_tiou": 0.46274810606060607,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.9925,
          "r1_tiou_0.5": 0.88,
          "top1_tiou": 0.7182767375168692,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.9175,
          "r1_tiou_0.5": 0.06,
          "top1_tiou": 0.19247591330199854,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.895,
          "r1_tiou_0.5": 0.0225,
          "top1_tiou": 0.3281007326007327,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.1125,
          "r1_tiou_0.5": 0.9625,
          "top1_tiou": 0.8101038781845089,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 34.7725,
          "r1_tiou_0.5": 0.225,
          "top1_tiou": 0.3256862610422441,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.9,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.20257142857142857,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.5575,
          "r1_tiou_0.5": 0.9975,
          "top1_tiou": 0.8681874714134292,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 26.0375,
          "r1_tiou_0.5": 0.465,
          "top1_tiou": 0.5023868702057808,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.9425,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12622869318181817,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.1475,
          "r1_tiou_0.5": 0.9975,
          "top1_tiou": 0.8940617248680723,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 15.63,
          "r1_tiou_0.5": 0.8875,
          "top1_tiou": 0.7051765800290853,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.935,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08435807823129253,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 1.39,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.9459326224611762,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 6.63,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8818198101103641,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.97,
          "r1_tiou_0.5": 0.0725,
          "top1_tiou": 0.04671969696969697,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.2375,
          "r1_tiou_0.5": 0.0525,
          "top1_tiou": 0.06553568629082085,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.205,
          "r1_tiou_0.5": 0.0025,
          "top1_tiou": 0.06681838304300404,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.9725,
          "r1_tiou_0.5": 0.0025,
          "top1_tiou": 0.06107234432234431,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.3425,
          "r1_tiou_0.5": 0.13,
          "top1_tiou": 0.1366851533972689,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.0475,
          "r1_tiou_0.5": 0.01,
          "top1_tiou": 0.11741282684261391,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.9675,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06041509034443817,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.5925,
          "r1_tiou_0.5": 0.195,
          "top1_tiou": 0.21199250543238485,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.775,
          "r1_tiou_0.5": 0.0925,
          "top1_tiou": 0.22040931572415146,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.9825,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.05302621921004274,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 17.09,
          "r1_tiou_0.5": 0.2175,
          "top1_tiou": 0.25562662440055567,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 25.0175,
          "r1_tiou_0.5": 0.315,
          "top1_tiou": 0.36114151454737803,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.9725,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.047709048619447775,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 27.3075,
          "r1_tiou_0.5": 0.2825,
          "top1_tiou": 0.2924629631671984,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 15.325,
          "r1_tiou_0.5": 0.645,
          "top1_tiou": 0.5261683177502274,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.9725,
          "r1_tiou_0.5": 0.2375,
          "top1_tiou": 0.1406003787878788,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.0375,
          "r1_tiou_0.5": 0.21,
          "top1_tiou": 0.2195917138238152,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.9675,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.09348923855248317,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.9775,
          "r1_tiou_0.5": 0.005,
          "top1_tiou": 0.12865064102564103,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.955,
          "r1_tiou_0.5": 0.2725,
          "top1_tiou": 0.2652819654867301,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.7675,
          "r1_tiou_0.5": 0.03,
          "top1_tiou": 0.15833017155874948,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.9375,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11798748353096178,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.9075,
          "r1_tiou_0.5": 0.495,
          "top1_tiou": 0.42857993404347416,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.845,
          "r1_tiou_0.5": 0.175,
          "top1_tiou": 0.31432060956782804,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.9575,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.09128843582887701,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.9075,
          "r1_tiou_0.5": 0.5875,
          "top1_tiou": 0.5439334518831298,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.8575,
          "r1_tiou_0.5": 0.5575,
          "top1_tiou": 0.5470917756025644,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.9675,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.07283295068027211,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 17.0375,
          "r1_tiou_0.5": 0.6725,
          "top1_tiou": 0.5936158790203834,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 14.11,
          "r1_tiou_0.5": 0.94,
          "top1_tiou": 0.7213114152450091,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.9675,
          "r1_tiou_0.5": 0.4525,
          "top1_tiou": 0.2626590909090909,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.93,
          "r1_tiou_0.5": 0.385,
          "top1_tiou": 0.3732614972339156,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.065,
          "r1_tiou_0.5": 0.025,
          "top1_tiou": 0.12384820472716847,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.97,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.21535164835164836,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.74,
          "r1_tiou_0.5": 0.55,
          "top1_tiou": 0.48625500996779325,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.6175,
          "r1_tiou_0.5": 0.075,
          "top1_tiou": 0.21808882245340025,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.9425,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.17295339262187087,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.575,
          "r1_tiou_0.5": 0.84,
          "top1_tiou": 0.6926457486187744,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 30.855,
          "r1_tiou_0.5": 0.3225,
          "top1_tiou": 0.4269997859637992,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.9775,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11625501336898396,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.7125,
          "r1_tiou_0.5": 0.845,
          "top1_tiou": 0.7496037017077681,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.6825,
          "r1_tiou_0.5": 0.6925,
          "top1_tiou": 0.6036539464914177,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.96,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08097363945578233,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.65,
          "r1_tiou_0.5": 0.945,
          "top1_tiou": 0.8115573799448357,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 11.77,
          "r1_tiou_0.5": 0.98,
          "top1_tiou": 0.7924709536516926,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.97,
          "r1_tiou_0.5": 0.155,
          "top1_tiou": 0.10413257575757577,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.6275,
          "r1_tiou_0.5": 0.1875,
          "top1_tiou": 0.17148921476520157,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.805,
          "r1_tiou_0.5": 0.025,
          "top1_tiou": 0.10305825941234888,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.985,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10816048534798534,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.245,
          "r1_tiou_0.5": 0.25,
          "top1_tiou": 0.2324224898821793,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 39.9775,
          "r1_tiou_0.5": 0.0475,
          "top1_tiou": 0.16492871332589742,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.965,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.09872388481084134,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.6775,
          "r1_tiou_0.5": 0.3375,
          "top1_tiou": 0.369857445061989,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.5525,
          "r1_tiou_0.5": 0.175,
          "top1_tiou": 0.33637371191503435,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.955,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08509272345301756,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 14.68,
          "r1_tiou_0.5": 0.475,
          "top1_tiou": 0.4513726619639844,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.245,
          "r1_tiou_0.5": 0.4775,
          "top1_tiou": 0.5439932375054126,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.945,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06513514905962385,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 20.625,
          "r1_tiou_0.5": 0.5075,
          "top1_tiou": 0.5078051914505985,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 14.255,
          "r1_tiou_0.5": 0.925,
          "top1_tiou": 0.7157150410617501,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.94,
          "r1_tiou_0.5": 0.505,
          "top1_tiou": 0.3001767676767677,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.7275,
          "r1_tiou_0.5": 0.5575,
          "top1_tiou": 0.46136819161230924,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.5275,
          "r1_tiou_0.5": 0.04,
          "top1_tiou": 0.16429308964939082,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.935,
          "r1_tiou_0.5": 0.025,
          "top1_tiou": 0.260286858974359,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.185,
          "r1_tiou_0.5": 0.775,
          "top1_tiou": 0.601644915732797,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 37.78,
          "r1_tiou_0.5": 0.18,
          "top1_tiou": 0.28640425637608496,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.93,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1845844155844156,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.195,
          "r1_tiou_0.5": 0.8275,
          "top1_tiou": 0.7432720791719973,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 27.14,
          "r1_tiou_0.5": 0.3875,
          "top1_tiou": 0.5004098291340039,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.95,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12301637700534758,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 4.1575,
          "r1_tiou_0.5": 0.9125,
          "top1_tiou": 0.8220087116528312,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 17.4925,
          "r1_tiou_0.5": 0.705,
          "top1_tiou": 0.6820289785951976,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.91,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08414765906362545,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.91,
          "r1_tiou_0.5": 0.945,
          "top1_tiou": 0.8753587415828933,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 8.34,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8469638549768262,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.92,
          "r1_tiou_0.5": 0.85,
          "top1_tiou": 0.45806060606060606,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.4,
          "r1_tiou_0.5": 0.895,
          "top1_tiou": 0.7107379997453527,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.6025,
          "r1_tiou_0.5": 0.0925,
          "top1_tiou": 0.2083140342064597,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.915,
          "r1_tiou_0.5": 0.035,
          "top1_tiou": 0.3266904761904762,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.1775,
          "r1_tiou_0.5": 0.9725,
          "top1_tiou": 0.7580506356388708,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 34.9075,
          "r1_tiou_0.5": 0.205,
          "top1_tiou": 0.32838340385910103,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.9,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.2025714285714286,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.2875,
          "r1_tiou_0.5": 0.99,
          "top1_tiou": 0.8713467697701393,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 25.08,
          "r1_tiou_0.5": 0.465,
          "top1_tiou": 0.5325352767130664,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.955,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12583806818181817,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 0.6175,
          "r1_tiou_0.5": 0.995,
          "top1_tiou": 0.9476723898962469,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 14.62,
          "r1_tiou_0.5": 0.8175,
          "top1_tiou": 0.7319738703285382,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.95,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08404557823129252,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 0.52,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.9601791666448872,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 5.82,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8983719603863952,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.985,
          "r1_tiou_0.5": 0.0725,
          "top1_tiou": 0.04671969696969697,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.66,
          "r1_tiou_0.5": 0.055,
          "top1_tiou": 0.06972983299573352,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 44.4075,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06521343578130978,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.975,
          "r1_tiou_0.5": 0.0025,
          "top1_tiou": 0.061096153846153835,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.725,
          "r1_tiou_0.5": 0.1475,
          "top1_tiou": 0.13786859687832323,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.0225,
          "r1_tiou_0.5": 0.0125,
          "top1_tiou": 0.11468242015949279,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.965,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06054009034443817,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.435,
          "r1_tiou_0.5": 0.1775,
          "top1_tiou": 0.21076627840320633,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.0425,
          "r1_tiou_0.5": 0.085,
          "top1_tiou": 0.22592673761124232,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.99,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.05286996921004274,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 17.205,
          "r1_tiou_0.5": 0.195,
          "top1_tiou": 0.24765331705964036,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 25.69,
          "r1_tiou_0.5": 0.2475,
          "top1_tiou": 0.36763113818497883,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.99,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.04750267607042817,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 27.985,
          "r1_tiou_0.5": 0.225,
          "top1_tiou": 0.28042968116268907,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 16.0075,
          "r1_tiou_0.5": 0.6325,
          "top1_tiou": 0.5184328299604013,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.975,
          "r1_tiou_0.5": 0.2375,
          "top1_tiou": 0.14068560606060607,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.54,
          "r1_tiou_0.5": 0.215,
          "top1_tiou": 0.2176391067514469,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 46.6425,
          "r1_tiou_0.5": 0.0125,
          "top1_tiou": 0.0978681258741405,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.975,
          "r1_tiou_0.5": 0.01,
          "top1_tiou": 0.128025641025641,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.7975,
          "r1_tiou_0.5": 0.2825,
          "top1_tiou": 0.2543062870069183,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.4,
          "r1_tiou_0.5": 0.0375,
          "top1_tiou": 0.15931767416829326,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.96,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11736248353096179,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.5175,
          "r1_tiou_0.5": 0.42,
          "top1_tiou": 0.4212698548671449,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.5,
          "r1_tiou_0.5": 0.18,
          "top1_tiou": 0.3202958742015099,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.965,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.091132185828877,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.165,
          "r1_tiou_0.5": 0.5775,
          "top1_tiou": 0.5479045578812552,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.095,
          "r1_tiou_0.5": 0.485,
          "top1_tiou": 0.556337285460361,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.98,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.07267670068027211,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 16.6075,
          "r1_tiou_0.5": 0.6125,
          "top1_tiou": 0.597482784435404,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 13.52,
          "r1_tiou_0.5": 0.9425,
          "top1_tiou": 0.7257344537087647,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.975,
          "r1_tiou_0.5": 0.4525,
          "top1_tiou": 0.2620340909090909,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.87,
          "r1_tiou_0.5": 0.395,
          "top1_tiou": 0.36654637587644556,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.9075,
          "r1_tiou_0.5": 0.0275,
          "top1_tiou": 0.1238989273492253,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.985,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.21495879120879124,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.2975,
          "r1_tiou_0.5": 0.5675,
          "top1_tiou": 0.462698563083239,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.6975,
          "r1_tiou_0.5": 0.07,
          "top1_tiou": 0.2139998265770207,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.96,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.17193553547901375,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.15,
          "r1_tiou_0.5": 0.7825,
          "top1_tiou": 0.6990566488122206,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 31.44,
          "r1_tiou_0.5": 0.2925,
          "top1_tiou": 0.4267704154597146,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.965,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11647755124777184,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.2825,
          "r1_tiou_0.5": 0.84,
          "top1_tiou": 0.7699950786122045,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 21.9275,
          "r1_tiou_0.5": 0.5725,
          "top1_tiou": 0.6222766552101283,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.97,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08076530612244898,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.86,
          "r1_tiou_0.5": 0.8925,
          "top1_tiou": 0.816040412212968,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 12.02,
          "r1_tiou_0.5": 0.9775,
          "top1_tiou": 0.7889037806723342,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 4.0,
          "r1_tiou_0.5": 0.1575,
          "top1_tiou": 0.10365909090909088,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.27,
          "r1_tiou_0.5": 0.2025,
          "top1_tiou": 0.16705051100556048,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 44.44,
          "r1_tiou_0.5": 0.05,
          "top1_tiou": 0.10804524169183738,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 8.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10763003663003662,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.27,
          "r1_tiou_0.5": 0.2075,
          "top1_tiou": 0.21785686471607357,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.18,
          "r1_tiou_0.5": 0.05,
          "top1_tiou": 0.16987467456957236,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 16.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.09872388481084134,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 12.45,
          "r1_tiou_0.5": 0.35,
          "top1_tiou": 0.34581839206451376,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 36.02,
          "r1_tiou_0.5": 0.19,
          "top1_tiou": 0.30954634280217286,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 28.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08384272345301756,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 14.56,
          "r1_tiou_0.5": 0.485,
          "top1_tiou": 0.43953649702895126,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 23.32,
          "r1_tiou_0.5": 0.5175,
          "top1_tiou": 0.5370851265249974,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 44.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06419764905962384,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 25.73,
          "r1_tiou_0.5": 0.5225,
          "top1_tiou": 0.4485058707140692,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 19.9,
          "r1_tiou_0.5": 0.9025,
          "top1_tiou": 0.6410871543566868,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 4.0,
          "r1_tiou_0.5": 0.4975,
          "top1_tiou": 0.2917045454545455,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.42,
          "r1_tiou_0.5": 0.6125,
          "top1_tiou": 0.487287693107546,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.02,
          "r1_tiou_0.5": 0.095,
          "top1_tiou": 0.16928541361533905,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 8.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.25420512820512825,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.36,
          "r1_tiou_0.5": 0.7125,
          "top1_tiou": 0.554626808712621,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.08,
          "r1_tiou_0.5": 0.1325,
          "top1_tiou": 0.2761379143602036,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 16.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.18108441558441554,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.15,
          "r1_tiou_0.5": 0.815,
          "top1_tiou": 0.6606997551612885,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 31.38,
          "r1_tiou_0.5": 0.425,
          "top1_tiou": 0.4385968984178593,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 28.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12145387700534759,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.77,
          "r1_tiou_0.5": 0.9575,
          "top1_tiou": 0.848211684410954,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 19.5,
          "r1_tiou_0.5": 0.7375,
          "top1_tiou": 0.6760195018376557,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 44.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08206432573029211,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 17.32,
          "r1_tiou_0.5": 0.925,
          "top1_tiou": 0.6509045995862495,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 18.58,
          "r1_tiou_0.5": 0.9975,
          "top1_tiou": 0.7128283158446506,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 4.0,
          "r1_tiou_0.5": 0.85,
          "top1_tiou": 0.44806060606060605,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.45,
          "r1_tiou_0.5": 0.91,
          "top1_tiou": 0.7532734225269055,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.56,
          "r1_tiou_0.5": 0.135,
          "top1_tiou": 0.2055241350810952,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 8.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.3201007326007326,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 4.77,
          "r1_tiou_0.5": 0.9325,
          "top1_tiou": 0.6719464083710407,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 36.86,
          "r1_tiou_0.5": 0.175,
          "top1_tiou": 0.3267236868297001,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 16.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1975714285714286,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.28,
          "r1_tiou_0.5": 0.98,
          "top1_tiou": 0.7543925249006772,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 30.16,
          "r1_tiou_0.5": 0.49,
          "top1_tiou": 0.45854887613454287,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 28.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12443181818181817,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 0.16,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.9585390915390916,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 15.38,
          "r1_tiou_0.5": 0.8325,
          "top1_tiou": 0.7499942406838056,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 44.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08300391156462585,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 16.08,
          "r1_tiou_0.5": 0.9975,
          "top1_tiou": 0.6821013618420964,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 17.6,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.731291279268977,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 4.0,
          "r1_tiou_0.5": 0.075,
          "top1_tiou": 0.04796969696969697,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.11,
          "r1_tiou_0.5": 0.0625,
          "top1_tiou": 0.06592032332674579,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.82,
          "r1_tiou_0.5": 0.01,
          "top1_tiou": 0.06693964024801538,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 8.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.060679487179487165,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.93,
          "r1_tiou_0.5": 0.13,
          "top1_tiou": 0.14436224591850963,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.86,
          "r1_tiou_0.5": 0.0125,
          "top1_tiou": 0.11435568543030585,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 16.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06004009034443816,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 12.08,
          "r1_tiou_0.5": 0.2025,
          "top1_tiou": 0.2100914278850668,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 35.56,
          "r1_tiou_0.5": 0.1125,
          "top1_tiou": 0.21426054905188052,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 28.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.05264615164247517,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 17.85,
          "r1_tiou_0.5": 0.23,
          "top1_tiou": 0.24317727480810525,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 27.36,
          "r1_tiou_0.5": 0.29,
          "top1_tiou": 0.36180280744680404,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 44.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.0473985094037615,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 29.55,
          "r1_tiou_0.5": 0.2775,
          "top1_tiou": 0.28673545624790014,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 19.86,
          "r1_tiou_0.5": 0.66,
          "top1_tiou": 0.5107833706846557,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 4.0,
          "r1_tiou_0.5": 0.2375,
          "top1_tiou": 0.13881060606060605,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.87,
          "r1_tiou_0.5": 0.235,
          "top1_tiou": 0.2147165042248824,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 49.04,
          "r1_tiou_0.5": 0.0175,
          "top1_tiou": 0.08908120338153692,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 8.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1261025641025641,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.77,
          "r1_tiou_0.5": 0.27,
          "top1_tiou": 0.25670135644260417,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.9,
          "r1_tiou_0.5": 0.025,
          "top1_tiou": 0.15974537974169423,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 16.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11588142292490117,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.96,
          "r1_tiou_0.5": 0.43,
          "top1_tiou": 0.40492851185817896,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 35.44,
          "r1_tiou_0.5": 0.2175,
          "top1_tiou": 0.3098983857519824,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 28.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.09003843582887701,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.81,
          "r1_tiou_0.5": 0.675,
          "top1_tiou": 0.5485008107440733,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 23.88,
          "r1_tiou_0.5": 0.5225,
          "top1_tiou": 0.5396594760141187,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 44.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.07226003401360544,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 23.77,
          "r1_tiou_0.5": 0.595,
          "top1_tiou": 0.49122672145720814,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 20.0,
          "r1_tiou_0.5": 0.9275,
          "top1_tiou": 0.6526765758029285,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 4.0,
          "r1_tiou_0.5": 0.4525,
          "top1_tiou": 0.2601590909090909,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.42,
          "r1_tiou_0.5": 0.46,
          "top1_tiou": 0.3959069963404329,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 47.86,
          "r1_tiou_0.5": 0.045,
          "top1_tiou": 0.12750373611657959,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 8.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.21345238095238095,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.41,
          "r1_tiou_0.5": 0.52,
          "top1_tiou": 0.43497526014598337,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.98,
          "r1_tiou_0.5": 0.0475,
          "top1_tiou": 0.20854839128652153,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 16.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1696022021456804,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.93,
          "r1_tiou_0.5": 0.7625,
          "top1_tiou": 0.6133513041042805,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 34.84,
          "r1_tiou_0.5": 0.3275,
          "top1_tiou": 0.3913143906298522,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 28.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11594251336898395,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 4.56,
          "r1_tiou_0.5": 0.905,
          "top1_tiou": 0.797244353943925,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 24.48,
          "r1_tiou_0.5": 0.6375,
          "top1_tiou": 0.6026584200989005,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 4,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 44.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08014030612244899,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 18.04,
          "r1_tiou_0.5": 0.8825,
          "top1_tiou": 0.6345923194062102,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 19.1,
          "r1_tiou_0.5": 0.975,
          "top1_tiou": 0.6984588315687015,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.885,
          "r1_tiou_0.5": 0.1575,
          "top1_tiou": 0.1382782287157287,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.3775,
          "r1_tiou_0.5": 0.2,
          "top1_tiou": 0.17756229216468028,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.885,
          "r1_tiou_0.5": 0.0225,
          "top1_tiou": 0.10939270481768336,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.95,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.1416739926739927,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.9825,
          "r1_tiou_0.5": 0.255,
          "top1_tiou": 0.2487931468418298,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.31,
          "r1_tiou_0.5": 0.0375,
          "top1_tiou": 0.16430810835318554,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.8825,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1330944993412385,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.3125,
          "r1_tiou_0.5": 0.4025,
          "top1_tiou": 0.38251981436580734,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.2725,
          "r1_tiou_0.5": 0.2025,
          "top1_tiou": 0.3341360957676055,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.8925,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10898258583736524,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 15.0375,
          "r1_tiou_0.5": 0.505,
          "top1_tiou": 0.4622124867140498,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 21.4175,
          "r1_tiou_0.5": 0.585,
          "top1_tiou": 0.5491788235313545,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.865,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08339051253302482,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 20.8475,
          "r1_tiou_0.5": 0.56,
          "top1_tiou": 0.5054575533138316,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 13.8275,
          "r1_tiou_0.5": 0.9275,
          "top1_tiou": 0.7192004262319364,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.845,
          "r1_tiou_0.5": 0.4875,
          "top1_tiou": 0.39153977272727275,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.9875,
          "r1_tiou_0.5": 0.56,
          "top1_tiou": 0.47757761499842355,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.0425,
          "r1_tiou_0.5": 0.04,
          "top1_tiou": 0.1632551284771575,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.855,
          "r1_tiou_0.5": 0.0875,
          "top1_tiou": 0.3354397893772893,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 4.57,
          "r1_tiou_0.5": 0.7825,
          "top1_tiou": 0.6278169660426136,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 37.6225,
          "r1_tiou_0.5": 0.1675,
          "top1_tiou": 0.284014198265021,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.8125,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.23995129870129872,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.4725,
          "r1_tiou_0.5": 0.87,
          "top1_tiou": 0.7417289827858611,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 27.1325,
          "r1_tiou_0.5": 0.4325,
          "top1_tiou": 0.4916128177715779,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.85,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1569046624331551,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.9875,
          "r1_tiou_0.5": 0.9225,
          "top1_tiou": 0.7975951411920578,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 18.06,
          "r1_tiou_0.5": 0.8,
          "top1_tiou": 0.6678773467779635,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.885,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10514825180072031,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.3775,
          "r1_tiou_0.5": 0.96,
          "top1_tiou": 0.8558980822574247,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 9.275,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8325179932443117,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.855,
          "r1_tiou_0.5": 0.835,
          "top1_tiou": 0.5825340909090909,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.9825,
          "r1_tiou_0.5": 0.8775,
          "top1_tiou": 0.723665626405758,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.9175,
          "r1_tiou_0.5": 0.06,
          "top1_tiou": 0.19247591330199854,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.835,
          "r1_tiou_0.5": 0.11,
          "top1_tiou": 0.41720329670329676,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.0925,
          "r1_tiou_0.5": 0.965,
          "top1_tiou": 0.8115622115178422,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 34.7725,
          "r1_tiou_0.5": 0.225,
          "top1_tiou": 0.3256862610422441,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.84,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.2543825757575757,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.5575,
          "r1_tiou_0.5": 0.9975,
          "top1_tiou": 0.8681874714134292,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 26.0375,
          "r1_tiou_0.5": 0.465,
          "top1_tiou": 0.5023868702057808,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.8725,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1599715909090909,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.1475,
          "r1_tiou_0.5": 0.9975,
          "top1_tiou": 0.8940617248680723,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 15.63,
          "r1_tiou_0.5": 0.8875,
          "top1_tiou": 0.7051765800290853,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.8775,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10632665816326531,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 1.39,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.9459326224611762,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 6.63,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8818198101103641,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.9425,
          "r1_tiou_0.5": 0.0675,
          "top1_tiou": 0.058589015151515156,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.225,
          "r1_tiou_0.5": 0.0525,
          "top1_tiou": 0.0658027317453663,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.205,
          "r1_tiou_0.5": 0.0025,
          "top1_tiou": 0.06681838304300404,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.9475,
          "r1_tiou_0.5": 0.005,
          "top1_tiou": 0.07429052197802198,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.265,
          "r1_tiou_0.5": 0.13,
          "top1_tiou": 0.1372781021152176,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.0475,
          "r1_tiou_0.5": 0.01,
          "top1_tiou": 0.11741282684261391,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.9725,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.0754236424807077,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.49,
          "r1_tiou_0.5": 0.2,
          "top1_tiou": 0.2170298430947225,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.775,
          "r1_tiou_0.5": 0.0925,
          "top1_tiou": 0.22040931572415146,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.9475,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06654868918288036,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 16.955,
          "r1_tiou_0.5": 0.2175,
          "top1_tiou": 0.2568076905770263,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 25.0175,
          "r1_tiou_0.5": 0.315,
          "top1_tiou": 0.36114151454737803,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.9225,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.0610777320543602,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 27.275,
          "r1_tiou_0.5": 0.2825,
          "top1_tiou": 0.29241087983386505,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 15.325,
          "r1_tiou_0.5": 0.645,
          "top1_tiou": 0.5261683177502274,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.93,
          "r1_tiou_0.5": 0.2225,
          "top1_tiou": 0.18159523115773116,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.0125,
          "r1_tiou_0.5": 0.21,
          "top1_tiou": 0.22127814544774682,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.9675,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.09348923855248317,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.9625,
          "r1_tiou_0.5": 0.015,
          "top1_tiou": 0.16630013736263738,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.915,
          "r1_tiou_0.5": 0.2725,
          "top1_tiou": 0.2661107200654847,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.7675,
          "r1_tiou_0.5": 0.03,
          "top1_tiou": 0.15833017155874948,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.9175,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1516351166948993,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.9025,
          "r1_tiou_0.5": 0.495,
          "top1_tiou": 0.42857993404347416,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.845,
          "r1_tiou_0.5": 0.175,
          "top1_tiou": 0.31432060956782804,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.9425,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11692211505814447,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.9,
          "r1_tiou_0.5": 0.5875,
          "top1_tiou": 0.5440115768831298,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.8575,
          "r1_tiou_0.5": 0.5575,
          "top1_tiou": 0.5470917756025644,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.95,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.09166223489395758,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 17.0375,
          "r1_tiou_0.5": 0.6725,
          "top1_tiou": 0.5936158790203834,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 14.11,
          "r1_tiou_0.5": 0.94,
          "top1_tiou": 0.7213114152450091,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.9375,
          "r1_tiou_0.5": 0.4375,
          "top1_tiou": 0.3293053127428128,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.945,
          "r1_tiou_0.5": 0.385,
          "top1_tiou": 0.3734906639005823,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.065,
          "r1_tiou_0.5": 0.025,
          "top1_tiou": 0.12384820472716847,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.94,
          "r1_tiou_0.5": 0.035,
          "top1_tiou": 0.27038405650721825,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.715,
          "r1_tiou_0.5": 0.55,
          "top1_tiou": 0.4856300099677933,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.6175,
          "r1_tiou_0.5": 0.075,
          "top1_tiou": 0.21808882245340025,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.9225,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.21702488001129303,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.5725,
          "r1_tiou_0.5": 0.84,
          "top1_tiou": 0.6927707486187744,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 30.855,
          "r1_tiou_0.5": 0.3225,
          "top1_tiou": 0.4269997859637992,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.965,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.14505215230031407,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.71,
          "r1_tiou_0.5": 0.845,
          "top1_tiou": 0.7496818267077682,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.6825,
          "r1_tiou_0.5": 0.6925,
          "top1_tiou": 0.6036539464914177,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.9475,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10125531462585034,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.65,
          "r1_tiou_0.5": 0.945,
          "top1_tiou": 0.8115573799448357,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 11.77,
          "r1_tiou_0.5": 0.98,
          "top1_tiou": 0.7924709536516926,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.925,
          "r1_tiou_0.5": 0.1525,
          "top1_tiou": 0.1342932831057831,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.275,
          "r1_tiou_0.5": 0.19,
          "top1_tiou": 0.18028660669538166,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.83,
          "r1_tiou_0.5": 0.015,
          "top1_tiou": 0.10886740913763816,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.985,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.14303502747252747,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.2125,
          "r1_tiou_0.5": 0.2125,
          "top1_tiou": 0.2423374798605678,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.01,
          "r1_tiou_0.5": 0.0325,
          "top1_tiou": 0.1662623043515646,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.925,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.13226641492565405,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.5025,
          "r1_tiou_0.5": 0.395,
          "top1_tiou": 0.36992078231398395,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 34.2475,
          "r1_tiou_0.5": 0.24,
          "top1_tiou": 0.32202751741402724,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.925,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10820133583736524,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 16.1825,
          "r1_tiou_0.5": 0.495,
          "top1_tiou": 0.4422460106995271,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 23.4475,
          "r1_tiou_0.5": 0.555,
          "top1_tiou": 0.5317327612054277,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.91,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08281576649890723,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 23.3425,
          "r1_tiou_0.5": 0.535,
          "top1_tiou": 0.4704498129125003,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 17.0975,
          "r1_tiou_0.5": 0.9175,
          "top1_tiou": 0.6811731752513204,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.8875,
          "r1_tiou_0.5": 0.4775,
          "top1_tiou": 0.3846957070707071,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.5025,
          "r1_tiou_0.5": 0.5425,
          "top1_tiou": 0.49146842517217904,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.9775,
          "r1_tiou_0.5": 0.035,
          "top1_tiou": 0.16441573142809193,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.91,
          "r1_tiou_0.5": 0.0275,
          "top1_tiou": 0.3323292124542124,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 4.7575,
          "r1_tiou_0.5": 0.7325,
          "top1_tiou": 0.6254214946150561,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 38.5275,
          "r1_tiou_0.5": 0.125,
          "top1_tiou": 0.28508611027371367,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.8575,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.2375762987012987,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.8475,
          "r1_tiou_0.5": 0.8575,
          "top1_tiou": 0.7183925765821253,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 28.8575,
          "r1_tiou_0.5": 0.49,
          "top1_tiou": 0.4704759598957963,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.91,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.15502966243315508,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.7875,
          "r1_tiou_0.5": 0.935,
          "top1_tiou": 0.7502211495055111,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 19.7675,
          "r1_tiou_0.5": 0.7675,
          "top1_tiou": 0.6440811883935018,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.9325,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1038982518007203,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.25,
          "r1_tiou_0.5": 0.9425,
          "top1_tiou": 0.7612727985774711,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 15.01,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.7542990704550371,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.925,
          "r1_tiou_0.5": 0.8325,
          "top1_tiou": 0.5722910353535353,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.78,
          "r1_tiou_0.5": 0.8475,
          "top1_tiou": 0.7315208553450033,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.6375,
          "r1_tiou_0.5": 0.0575,
          "top1_tiou": 0.19395323729703293,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.8875,
          "r1_tiou_0.5": 0.0375,
          "top1_tiou": 0.41179624542124543,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 1.775,
          "r1_tiou_0.5": 0.95,
          "top1_tiou": 0.8217365609536662,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 35.5575,
          "r1_tiou_0.5": 0.1575,
          "top1_tiou": 0.32530614457419965,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.9475,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.24900757575757576,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.3275,
          "r1_tiou_0.5": 0.995,
          "top1_tiou": 0.8364994293077127,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 27.3,
          "r1_tiou_0.5": 0.5525,
          "top1_tiou": 0.4880104268486265,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.91,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1587997159090909,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.8625,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8197926043573358,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 16.495,
          "r1_tiou_0.5": 0.865,
          "top1_tiou": 0.6914295175418593,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.9025,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10580582482993198,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.485,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8247039052152203,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 14.16,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.7718454952491635,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.955,
          "r1_tiou_0.5": 0.0675,
          "top1_tiou": 0.058589015151515156,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.71,
          "r1_tiou_0.5": 0.04,
          "top1_tiou": 0.06448754391516184,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.945,
          "r1_tiou_0.5": 0.0025,
          "top1_tiou": 0.06441300083207713,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.97,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.0739095695970696,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.465,
          "r1_tiou_0.5": 0.12,
          "top1_tiou": 0.14184277809210957,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.455,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.11820442944973422,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.985,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.0754236424807077,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.6875,
          "r1_tiou_0.5": 0.205,
          "top1_tiou": 0.2130101847916716,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.83,
          "r1_tiou_0.5": 0.1225,
          "top1_tiou": 0.2219803286115176,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.955,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06645645056268121,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 17.64,
          "r1_tiou_0.5": 0.215,
          "top1_tiou": 0.2473795257569763,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 26.69,
          "r1_tiou_0.5": 0.3,
          "top1_tiou": 0.3590300616719693,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.955,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06097356538769354,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 28.645,
          "r1_tiou_0.5": 0.2875,
          "top1_tiou": 0.28713519722052216,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 17.5575,
          "r1_tiou_0.5": 0.6575,
          "top1_tiou": 0.5135681374697437,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.9475,
          "r1_tiou_0.5": 0.225,
          "top1_tiou": 0.1816646756021756,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.1075,
          "r1_tiou_0.5": 0.2025,
          "top1_tiou": 0.2242655520194243,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 47.1375,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.08993940485122522,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.9775,
          "r1_tiou_0.5": 0.005,
          "top1_tiou": 0.1654988553113553,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.55,
          "r1_tiou_0.5": 0.255,
          "top1_tiou": 0.26874589188503367,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.4475,
          "r1_tiou_0.5": 0.0175,
          "top1_tiou": 0.16054988546649984,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.9475,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.150161902409185,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.3175,
          "r1_tiou_0.5": 0.4725,
          "top1_tiou": 0.4120283531472968,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.54,
          "r1_tiou_0.5": 0.23,
          "top1_tiou": 0.31436214516166844,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.94,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11684399005814447,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 12.73,
          "r1_tiou_0.5": 0.63,
          "top1_tiou": 0.5327678746900618,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 24.0175,
          "r1_tiou_0.5": 0.53,
          "top1_tiou": 0.5295316130180713,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.97,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.09129765156062426,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 19.425,
          "r1_tiou_0.5": 0.665,
          "top1_tiou": 0.5656564214016268,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 16.9725,
          "r1_tiou_0.5": 0.9375,
          "top1_tiou": 0.6891457826277982,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.955,
          "r1_tiou_0.5": 0.435,
          "top1_tiou": 0.3281060606060606,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.345,
          "r1_tiou_0.5": 0.375,
          "top1_tiou": 0.3769101836521739,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 46.235,
          "r1_tiou_0.5": 0.0225,
          "top1_tiou": 0.12729496043983723,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.97,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.2670507231738849,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.995,
          "r1_tiou_0.5": 0.5375,
          "top1_tiou": 0.4980667461652274,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.575,
          "r1_tiou_0.5": 0.0475,
          "top1_tiou": 0.2118236182616132,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.955,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.21519154667795973,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.4475,
          "r1_tiou_0.5": 0.815,
          "top1_tiou": 0.6626180224765114,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.2775,
          "r1_tiou_0.5": 0.37,
          "top1_tiou": 0.4171610165672901,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.97,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.14489590230031407,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.2775,
          "r1_tiou_0.5": 0.8675,
          "top1_tiou": 0.7011300767105785,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 23.7075,
          "r1_tiou_0.5": 0.665,
          "top1_tiou": 0.5895768463081965,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.9625,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10094281462585034,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 12.6225,
          "r1_tiou_0.5": 0.92,
          "top1_tiou": 0.7312859256789312,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 16.1025,
          "r1_tiou_0.5": 0.98,
          "top1_tiou": 0.735437089445887,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.0,
          "r1_tiou_0.5": 0.145,
          "top1_tiou": 0.12991414141414143,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.505,
          "r1_tiou_0.5": 0.175,
          "top1_tiou": 0.17264125231176916,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.485,
          "r1_tiou_0.5": 0.0225,
          "top1_tiou": 0.10876421351328636,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.14303502747252747,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.9925,
          "r1_tiou_0.5": 0.19,
          "top1_tiou": 0.2354574522286397,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.715,
          "r1_tiou_0.5": 0.0575,
          "top1_tiou": 0.163100091430929,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12865959674383587,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.8925,
          "r1_tiou_0.5": 0.4,
          "top1_tiou": 0.36275436987436405,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 34.115,
          "r1_tiou_0.5": 0.2875,
          "top1_tiou": 0.33011549657076444,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10609196083736525,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 17.18,
          "r1_tiou_0.5": 0.475,
          "top1_tiou": 0.41756200063651505,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 24.45,
          "r1_tiou_0.5": 0.4125,
          "top1_tiou": 0.5221775728484739,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08089612364176439,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 23.11,
          "r1_tiou_0.5": 0.4625,
          "top1_tiou": 0.4675001734866996,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 19.45,
          "r1_tiou_0.5": 0.895,
          "top1_tiou": 0.6511141092015594,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.0,
          "r1_tiou_0.5": 0.47,
          "top1_tiou": 0.3712537878787879,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.7625,
          "r1_tiou_0.5": 0.5375,
          "top1_tiou": 0.44540637973137975,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 44.47,
          "r1_tiou_0.5": 0.0325,
          "top1_tiou": 0.16398435938955988,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.32571062271062273,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.39,
          "r1_tiou_0.5": 0.705,
          "top1_tiou": 0.5874091264286307,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 39.315,
          "r1_tiou_0.5": 0.1825,
          "top1_tiou": 0.2750601711269429,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.23070887445887445,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.7025,
          "r1_tiou_0.5": 0.88,
          "top1_tiou": 0.7749990395501115,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 28.05,
          "r1_tiou_0.5": 0.54,
          "top1_tiou": 0.497299462213315,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.15221716243315508,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.86,
          "r1_tiou_0.5": 0.9125,
          "top1_tiou": 0.6689923772387272,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 20.3,
          "r1_tiou_0.5": 0.615,
          "top1_tiou": 0.6445510493011833,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1025515256102441,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.62,
          "r1_tiou_0.5": 0.9075,
          "top1_tiou": 0.7639935752680356,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 19.8,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.6998290859003445,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.0,
          "r1_tiou_0.5": 0.8225,
          "top1_tiou": 0.5638882575757576,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.8225,
          "r1_tiou_0.5": 0.8425,
          "top1_tiou": 0.6515436091686092,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.24,
          "r1_tiou_0.5": 0.07,
          "top1_tiou": 0.2094264335638375,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.4027417582417583,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.39,
          "r1_tiou_0.5": 0.94,
          "top1_tiou": 0.7515498251748253,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 35.765,
          "r1_tiou_0.5": 0.2575,
          "top1_tiou": 0.32231377915484577,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.24638257575757574,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 0.375,
          "r1_tiou_0.5": 0.9975,
          "top1_tiou": 0.9193266262722785,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 25.98,
          "r1_tiou_0.5": 0.6375,
          "top1_tiou": 0.5223821474904617,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1559872159090909,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.35,
          "r1_tiou_0.5": 0.99,
          "top1_tiou": 0.7348164025002845,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 15.36,
          "r1_tiou_0.5": 0.77,
          "top1_tiou": 0.7125736934032609,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10377457482993196,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.08,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8281691415027549,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 20.36,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.7028541430941678,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.0,
          "r1_tiou_0.5": 0.0675,
          "top1_tiou": 0.058589015151515156,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.56,
          "r1_tiou_0.5": 0.0475,
          "top1_tiou": 0.06977228430108787,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 44.17,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06201704864900794,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.0739095695970696,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.57,
          "r1_tiou_0.5": 0.1175,
          "top1_tiou": 0.12963035893839756,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.91,
          "r1_tiou_0.5": 0.025,
          "top1_tiou": 0.11958991171138272,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.0750486424807077,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.03,
          "r1_tiou_0.5": 0.205,
          "top1_tiou": 0.2013164409093431,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.87,
          "r1_tiou_0.5": 0.135,
          "top1_tiou": 0.21935505093459548,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.0653873716153128,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 18.605,
          "r1_tiou_0.5": 0.185,
          "top1_tiou": 0.22953449162943934,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 27.085,
          "r1_tiou_0.5": 0.1875,
          "top1_tiou": 0.3566769517633992,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06036033932803891,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 29.14,
          "r1_tiou_0.5": 0.2,
          "top1_tiou": 0.2712434296685549,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 19.765,
          "r1_tiou_0.5": 0.635,
          "top1_tiou": 0.4983952554109099,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.0,
          "r1_tiou_0.5": 0.225,
          "top1_tiou": 0.17938636363636362,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.0325,
          "r1_tiou_0.5": 0.2175,
          "top1_tiou": 0.2242026498281523,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 48.52,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.09419645430119093,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1642488553113553,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.3125,
          "r1_tiou_0.5": 0.25,
          "top1_tiou": 0.25972787571442646,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.74,
          "r1_tiou_0.5": 0.0475,
          "top1_tiou": 0.16389050622661422,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.147911902409185,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.935,
          "r1_tiou_0.5": 0.4975,
          "top1_tiou": 0.41534076690431354,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.68,
          "r1_tiou_0.5": 0.29,
          "top1_tiou": 0.32575486625771466,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11520336505814446,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 14.75,
          "r1_tiou_0.5": 0.6,
          "top1_tiou": 0.4862316445143898,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 25.035,
          "r1_tiou_0.5": 0.39,
          "top1_tiou": 0.5256758413432704,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.09067265156062426,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 19.7725,
          "r1_tiou_0.5": 0.57,
          "top1_tiou": 0.5606465102346797,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 19.63,
          "r1_tiou_0.5": 0.9275,
          "top1_tiou": 0.6610442989003608,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 3.0,
          "r1_tiou_0.5": 0.43,
          "top1_tiou": 0.3240088383838383,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.645,
          "r1_tiou_0.5": 0.3725,
          "top1_tiou": 0.35058034660041765,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 46.495,
          "r1_tiou_0.5": 0.02,
          "top1_tiou": 0.12587979023281778,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 7.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.2647345467032967,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.645,
          "r1_tiou_0.5": 0.56,
          "top1_tiou": 0.46831695942843354,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.07,
          "r1_tiou_0.5": 0.0825,
          "top1_tiou": 0.21060066763416663,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 15.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.2123165466779597,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.0475,
          "r1_tiou_0.5": 0.85,
          "top1_tiou": 0.7199050073474749,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.45,
          "r1_tiou_0.5": 0.42,
          "top1_tiou": 0.43213164030558443,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 27.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.14395840230031406,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.7775,
          "r1_tiou_0.5": 0.8575,
          "top1_tiou": 0.6373280279638636,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 23.98,
          "r1_tiou_0.5": 0.4925,
          "top1_tiou": 0.5968129290611196,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 5,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 43.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10016156462585034,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 12.31,
          "r1_tiou_0.5": 0.85,
          "top1_tiou": 0.7306300231106598,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 20.56,
          "r1_tiou_0.5": 0.975,
          "top1_tiou": 0.6847282520907657,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.885,
          "r1_tiou_0.5": 0.1925,
          "top1_tiou": 0.16190007215007213,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.4175,
          "r1_tiou_0.5": 0.2075,
          "top1_tiou": 0.18653317458823676,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.885,
          "r1_tiou_0.5": 0.0225,
          "top1_tiou": 0.10939270481768336,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.93,
          "r1_tiou_0.5": 0.2775,
          "top1_tiou": 0.17748047295841413,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.875,
          "r1_tiou_0.5": 0.3,
          "top1_tiou": 0.2577403329362406,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.31,
          "r1_tiou_0.5": 0.0375,
          "top1_tiou": 0.16430810835318554,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.835,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.17124307829851307,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.0775,
          "r1_tiou_0.5": 0.415,
          "top1_tiou": 0.3955298845801459,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.2725,
          "r1_tiou_0.5": 0.2025,
          "top1_tiou": 0.3341360957676055,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.86,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.13764750144529556,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 14.82,
          "r1_tiou_0.5": 0.5075,
          "top1_tiou": 0.4668256569336881,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 21.4175,
          "r1_tiou_0.5": 0.585,
          "top1_tiou": 0.5491788235313545,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.815,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10285094960995349,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 20.6225,
          "r1_tiou_0.5": 0.5625,
          "top1_tiou": 0.5090711339579537,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 13.8275,
          "r1_tiou_0.5": 0.9275,
          "top1_tiou": 0.7192004262319364,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.89,
          "r1_tiou_0.5": 0.6,
          "top1_tiou": 0.46494939782439787,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.9175,
          "r1_tiou_0.5": 0.5825,
          "top1_tiou": 0.49286738772569627,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.0425,
          "r1_tiou_0.5": 0.04,
          "top1_tiou": 0.1632551284771575,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.825,
          "r1_tiou_0.5": 0.68,
          "top1_tiou": 0.4108112071751778,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 4.5525,
          "r1_tiou_0.5": 0.8,
          "top1_tiou": 0.6318073506579982,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 37.6225,
          "r1_tiou_0.5": 0.1675,
          "top1_tiou": 0.284014198265021,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.82,
          "r1_tiou_0.5": 0.005,
          "top1_tiou": 0.28929644268774696,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.38,
          "r1_tiou_0.5": 0.8775,
          "top1_tiou": 0.7468123161191946,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 27.1325,
          "r1_tiou_0.5": 0.4325,
          "top1_tiou": 0.4916128177715779,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.87,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.18833326171377643,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.985,
          "r1_tiou_0.5": 0.9225,
          "top1_tiou": 0.7976732661920578,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 18.06,
          "r1_tiou_0.5": 0.8,
          "top1_tiou": 0.6678773467779635,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.835,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12736074929971988,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.3775,
          "r1_tiou_0.5": 0.96,
          "top1_tiou": 0.8558980822574247,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 9.275,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8325179932443117,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.95,
          "r1_tiou_0.5": 0.9125,
          "top1_tiou": 0.6791253885003886,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.8875,
          "r1_tiou_0.5": 0.8875,
          "top1_tiou": 0.7354711819613136,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.9175,
          "r1_tiou_0.5": 0.06,
          "top1_tiou": 0.19247591330199854,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.675,
          "r1_tiou_0.5": 0.8975,
          "top1_tiou": 0.5078305860805861,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.04,
          "r1_tiou_0.5": 0.9775,
          "top1_tiou": 0.8158783383734429,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 34.7725,
          "r1_tiou_0.5": 0.225,
          "top1_tiou": 0.3256862610422441,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.8,
          "r1_tiou_0.5": 0.01,
          "top1_tiou": 0.30497077922077914,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.5575,
          "r1_tiou_0.5": 0.9975,
          "top1_tiou": 0.8681874714134292,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 26.0375,
          "r1_tiou_0.5": 0.465,
          "top1_tiou": 0.5023868702057808,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.825,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.19225044563279858,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.1475,
          "r1_tiou_0.5": 0.9975,
          "top1_tiou": 0.8940617248680723,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 15.63,
          "r1_tiou_0.5": 0.8875,
          "top1_tiou": 0.7051765800290853,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.805,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1286079081632653,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 1.39,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.9459326224611762,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 6.63,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8818198101103641,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.95,
          "r1_tiou_0.5": 0.07,
          "top1_tiou": 0.05997960372960373,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.3825,
          "r1_tiou_0.5": 0.055,
          "top1_tiou": 0.0663551307352653,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.205,
          "r1_tiou_0.5": 0.0025,
          "top1_tiou": 0.06681838304300404,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.925,
          "r1_tiou_0.5": 0.1475,
          "top1_tiou": 0.09621505332902391,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.225,
          "r1_tiou_0.5": 0.1325,
          "top1_tiou": 0.135442021529137,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.0475,
          "r1_tiou_0.5": 0.01,
          "top1_tiou": 0.11741282684261391,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.97,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.089071461509505,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.3425,
          "r1_tiou_0.5": 0.2,
          "top1_tiou": 0.21848655305143247,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.775,
          "r1_tiou_0.5": 0.0925,
          "top1_tiou": 0.22040931572415146,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.9,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08620180240400828,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 16.7825,
          "r1_tiou_0.5": 0.2175,
          "top1_tiou": 0.2571983155770263,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 25.0175,
          "r1_tiou_0.5": 0.315,
          "top1_tiou": 0.36114151454737803,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.89,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.07580440924555598,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 26.9525,
          "r1_tiou_0.5": 0.2875,
          "top1_tiou": 0.2972056694602419,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 15.325,
          "r1_tiou_0.5": 0.645,
          "top1_tiou": 0.5261683177502274,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.94,
          "r1_tiou_0.5": 0.27,
          "top1_tiou": 0.2144809634809635,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.91,
          "r1_tiou_0.5": 0.22,
          "top1_tiou": 0.2255446081517095,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.9675,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.09348923855248317,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.915,
          "r1_tiou_0.5": 0.305,
          "top1_tiou": 0.19516870796901756,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.86,
          "r1_tiou_0.5": 0.2825,
          "top1_tiou": 0.2684435955233601,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.7675,
          "r1_tiou_0.5": 0.03,
          "top1_tiou": 0.15833017155874948,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.95,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.17787256258234513,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.8375,
          "r1_tiou_0.5": 0.4975,
          "top1_tiou": 0.4299078561213963,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.845,
          "r1_tiou_0.5": 0.175,
          "top1_tiou": 0.31432060956782804,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.94,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.13986454734432677,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.8875,
          "r1_tiou_0.5": 0.5875,
          "top1_tiou": 0.5449403963275743,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.8575,
          "r1_tiou_0.5": 0.5575,
          "top1_tiou": 0.5470917756025644,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.895,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1115112202573337,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 16.8375,
          "r1_tiou_0.5": 0.675,
          "top1_tiou": 0.5975971715373902,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 14.11,
          "r1_tiou_0.5": 0.94,
          "top1_tiou": 0.7213114152450091,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.93,
          "r1_tiou_0.5": 0.5125,
          "top1_tiou": 0.390571484071484,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.9075,
          "r1_tiou_0.5": 0.3925,
          "top1_tiou": 0.37904085329452164,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.065,
          "r1_tiou_0.5": 0.025,
          "top1_tiou": 0.12384820472716847,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.85,
          "r1_tiou_0.5": 0.5625,
          "top1_tiou": 0.33707836734558866,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.735,
          "r1_tiou_0.5": 0.565,
          "top1_tiou": 0.4875893554468756,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.6175,
          "r1_tiou_0.5": 0.075,
          "top1_tiou": 0.21808882245340025,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.86,
          "r1_tiou_0.5": 0.01,
          "top1_tiou": 0.26097555524185956,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.545,
          "r1_tiou_0.5": 0.8425,
          "top1_tiou": 0.6937198226928484,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 30.855,
          "r1_tiou_0.5": 0.3225,
          "top1_tiou": 0.4269997859637992,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.91,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.17728712810881928,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.7075,
          "r1_tiou_0.5": 0.845,
          "top1_tiou": 0.7497599517077681,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.6825,
          "r1_tiou_0.5": 0.6925,
          "top1_tiou": 0.6036539464914177,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.25,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.895,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12195828331332534,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.65,
          "r1_tiou_0.5": 0.945,
          "top1_tiou": 0.8115573799448357,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 11.77,
          "r1_tiou_0.5": 0.98,
          "top1_tiou": 0.7924709536516926,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.9675,
          "r1_tiou_0.5": 0.19,
          "top1_tiou": 0.15891579254079252,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.8975,
          "r1_tiou_0.5": 0.19,
          "top1_tiou": 0.1893736393683762,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.805,
          "r1_tiou_0.5": 0.025,
          "top1_tiou": 0.10305825941234888,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.94,
          "r1_tiou_0.5": 0.28,
          "top1_tiou": 0.17849810116354234,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.1325,
          "r1_tiou_0.5": 0.3075,
          "top1_tiou": 0.2533998833479268,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 39.9775,
          "r1_tiou_0.5": 0.0475,
          "top1_tiou": 0.16492871332589742,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.8575,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1704462168266516,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.165,
          "r1_tiou_0.5": 0.36,
          "top1_tiou": 0.39240686786141166,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.5525,
          "r1_tiou_0.5": 0.175,
          "top1_tiou": 0.33637371191503435,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.91,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.13559771789551203,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 13.82,
          "r1_tiou_0.5": 0.4925,
          "top1_tiou": 0.46969412488941237,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.245,
          "r1_tiou_0.5": 0.4775,
          "top1_tiou": 0.5439932375054126,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.8875,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10149422055469502,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 20.245,
          "r1_tiou_0.5": 0.51,
          "top1_tiou": 0.5102753534105137,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 14.255,
          "r1_tiou_0.5": 0.925,
          "top1_tiou": 0.7157150410617501,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.975,
          "r1_tiou_0.5": 0.5975,
          "top1_tiou": 0.45767540792540784,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.67,
          "r1_tiou_0.5": 0.5825,
          "top1_tiou": 0.49013316275228036,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.5275,
          "r1_tiou_0.5": 0.04,
          "top1_tiou": 0.16429308964939082,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.8425,
          "r1_tiou_0.5": 0.6725,
          "top1_tiou": 0.40754197640594697,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.125,
          "r1_tiou_0.5": 0.795,
          "top1_tiou": 0.6088037985166799,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 37.78,
          "r1_tiou_0.5": 0.18,
          "top1_tiou": 0.28640425637608496,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.845,
          "r1_tiou_0.5": 0.0025,
          "top1_tiou": 0.2873716591379635,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.165,
          "r1_tiou_0.5": 0.8275,
          "top1_tiou": 0.7437720791719974,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 27.14,
          "r1_tiou_0.5": 0.3875,
          "top1_tiou": 0.5004098291340039,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.8575,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.188721519289534,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 4.1525,
          "r1_tiou_0.5": 0.9125,
          "top1_tiou": 0.8221649616528311,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 17.4925,
          "r1_tiou_0.5": 0.705,
          "top1_tiou": 0.6820289785951976,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.8725,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12658162515006002,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.91,
          "r1_tiou_0.5": 0.945,
          "top1_tiou": 0.8753587415828933,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 8.34,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8469638549768262,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.9975,
          "r1_tiou_0.5": 0.9125,
          "top1_tiou": 0.6754031662781662,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.355,
          "r1_tiou_0.5": 0.8975,
          "top1_tiou": 0.7235157775231305,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.6025,
          "r1_tiou_0.5": 0.0925,
          "top1_tiou": 0.2083140342064597,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.7375,
          "r1_tiou_0.5": 0.8875,
          "top1_tiou": 0.5015576923076923,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.1375,
          "r1_tiou_0.5": 0.98,
          "top1_tiou": 0.7604499030381382,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 34.9075,
          "r1_tiou_0.5": 0.205,
          "top1_tiou": 0.32838340385910103,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.82,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.3037922077922077,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.2875,
          "r1_tiou_0.5": 0.99,
          "top1_tiou": 0.8713467697701393,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 25.08,
          "r1_tiou_0.5": 0.465,
          "top1_tiou": 0.5325352767130664,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.91,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.18977801916221032,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 0.6175,
          "r1_tiou_0.5": 0.995,
          "top1_tiou": 0.9476723898962469,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 14.62,
          "r1_tiou_0.5": 0.8175,
          "top1_tiou": 0.7319738703285382,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.82,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12829540816326532,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 0.52,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.9601791666448872,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 5.82,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8983719603863952,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.99,
          "r1_tiou_0.5": 0.0675,
          "top1_tiou": 0.05747960372960373,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.81,
          "r1_tiou_0.5": 0.0525,
          "top1_tiou": 0.06922712736802789,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 44.4075,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.06521343578130978,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.9475,
          "r1_tiou_0.5": 0.145,
          "top1_tiou": 0.09541148190045248,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.59,
          "r1_tiou_0.5": 0.1475,
          "top1_tiou": 0.1357623697720961,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.0225,
          "r1_tiou_0.5": 0.0125,
          "top1_tiou": 0.11468242015949279,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.9625,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08922363542254846,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.265,
          "r1_tiou_0.5": 0.18,
          "top1_tiou": 0.2175082441550243,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.0425,
          "r1_tiou_0.5": 0.085,
          "top1_tiou": 0.22592673761124232,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.91,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08555545319365945,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 16.875,
          "r1_tiou_0.5": 0.195,
          "top1_tiou": 0.24990209156944426,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 25.69,
          "r1_tiou_0.5": 0.2475,
          "top1_tiou": 0.36763113818497883,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.91,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.07527888454002792,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 27.64,
          "r1_tiou_0.5": 0.23,
          "top1_tiou": 0.28438386283535816,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 16.0075,
          "r1_tiou_0.5": 0.6325,
          "top1_tiou": 0.5184328299604013,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.985,
          "r1_tiou_0.5": 0.27,
          "top1_tiou": 0.21280468142968142,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.525,
          "r1_tiou_0.5": 0.2175,
          "top1_tiou": 0.22125610086844102,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 46.6425,
          "r1_tiou_0.5": 0.0125,
          "top1_tiou": 0.0978681258741405,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.955,
          "r1_tiou_0.5": 0.305,
          "top1_tiou": 0.19387046235498245,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.725,
          "r1_tiou_0.5": 0.29,
          "top1_tiou": 0.2573392540398853,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.4,
          "r1_tiou_0.5": 0.0375,
          "top1_tiou": 0.15931767416829326,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.9475,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.17787256258234518,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.4475,
          "r1_tiou_0.5": 0.425,
          "top1_tiou": 0.4239178527026428,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 32.5,
          "r1_tiou_0.5": 0.18,
          "top1_tiou": 0.3202958742015099,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.955,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.13958992613220556,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 11.125,
          "r1_tiou_0.5": 0.5775,
          "top1_tiou": 0.5488420578812553,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.095,
          "r1_tiou_0.5": 0.485,
          "top1_tiou": 0.556337285460361,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.9025,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11130288692400037,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 16.555,
          "r1_tiou_0.5": 0.6125,
          "top1_tiou": 0.5982244511020707,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 13.52,
          "r1_tiou_0.5": 0.9425,
          "top1_tiou": 0.7257344537087647,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 1.985,
          "r1_tiou_0.5": 0.51,
          "top1_tiou": 0.3852823426573426,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.815,
          "r1_tiou_0.5": 0.395,
          "top1_tiou": 0.3733182012732709,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.9075,
          "r1_tiou_0.5": 0.0275,
          "top1_tiou": 0.1238989273492253,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 5.9025,
          "r1_tiou_0.5": 0.5625,
          "top1_tiou": 0.33485810574229696,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.2075,
          "r1_tiou_0.5": 0.575,
          "top1_tiou": 0.46580295868763455,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 40.6975,
          "r1_tiou_0.5": 0.07,
          "top1_tiou": 0.2139998265770207,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 13.9025,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.25923216899847334,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.145,
          "r1_tiou_0.5": 0.7825,
          "top1_tiou": 0.6993066488122206,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 31.44,
          "r1_tiou_0.5": 0.2925,
          "top1_tiou": 0.4267704154597146,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 25.9175,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.17705038568457684,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.2775,
          "r1_tiou_0.5": 0.84,
          "top1_tiou": 0.7701513286122045,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 21.9275,
          "r1_tiou_0.5": 0.5725,
          "top1_tiou": 0.6222766552101283,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 1.5,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 41.91,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12164578331332532,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.86,
          "r1_tiou_0.5": 0.8925,
          "top1_tiou": 0.816040412212968,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 12.02,
          "r1_tiou_0.5": 0.9775,
          "top1_tiou": 0.7889037806723342,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.0,
          "r1_tiou_0.5": 0.185,
          "top1_tiou": 0.15547047397047398,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.67,
          "r1_tiou_0.5": 0.2125,
          "top1_tiou": 0.18293600285914524,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 44.065,
          "r1_tiou_0.5": 0.0325,
          "top1_tiou": 0.10328487494843384,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.0,
          "r1_tiou_0.5": 0.28,
          "top1_tiou": 0.1765221396250808,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.325,
          "r1_tiou_0.5": 0.295,
          "top1_tiou": 0.23708424085908722,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 41.895,
          "r1_tiou_0.5": 0.0925,
          "top1_tiou": 0.166848203961404,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.1638979484283832,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 12.155,
          "r1_tiou_0.5": 0.3775,
          "top1_tiou": 0.3674434726616431,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.8,
          "r1_tiou_0.5": 0.1475,
          "top1_tiou": 0.3314626730599244,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.13348827525481938,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 17.28,
          "r1_tiou_0.5": 0.42,
          "top1_tiou": 0.4071850089649389,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 25.59,
          "r1_tiou_0.5": 0.4475,
          "top1_tiou": 0.5039498864751093,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.09836922055469502,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 20.025,
          "r1_tiou_0.5": 0.595,
          "top1_tiou": 0.5139265596657766,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 14.04,
          "r1_tiou_0.5": 0.9275,
          "top1_tiou": 0.7130180739890575,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.0,
          "r1_tiou_0.5": 0.5975,
          "top1_tiou": 0.4550504079254079,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.64,
          "r1_tiou_0.5": 0.5875,
          "top1_tiou": 0.4467723761802487,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 44.485,
          "r1_tiou_0.5": 0.0475,
          "top1_tiou": 0.1633254235184894,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.0,
          "r1_tiou_0.5": 0.665,
          "top1_tiou": 0.39417659179056236,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.96,
          "r1_tiou_0.5": 0.81,
          "top1_tiou": 0.6477252770743925,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 39.51,
          "r1_tiou_0.5": 0.225,
          "top1_tiou": 0.28235089014536174,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.279908243929983,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.105,
          "r1_tiou_0.5": 0.8375,
          "top1_tiou": 0.6620456373351922,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 28.62,
          "r1_tiou_0.5": 0.315,
          "top1_tiou": 0.48140950197511273,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.18436545868347337,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.545,
          "r1_tiou_0.5": 0.8925,
          "top1_tiou": 0.6803847211386602,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 22.74,
          "r1_tiou_0.5": 0.685,
          "top1_tiou": 0.5909360976047524,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12392537515006001,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 2.955,
          "r1_tiou_0.5": 0.9675,
          "top1_tiou": 0.8888612144497857,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 8.22,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8490725893796784,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.0,
          "r1_tiou_0.5": 0.9125,
          "top1_tiou": 0.6750559440559439,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 3.985,
          "r1_tiou_0.5": 0.8825,
          "top1_tiou": 0.643645818070818,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.245,
          "r1_tiou_0.5": 0.0925,
          "top1_tiou": 0.20330791434592804,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.0,
          "r1_tiou_0.5": 0.88,
          "top1_tiou": 0.47915384615384615,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 1.08,
          "r1_tiou_0.5": 0.975,
          "top1_tiou": 0.848363493859082,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 35.88,
          "r1_tiou_0.5": 0.295,
          "top1_tiou": 0.32648789103858816,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.29498268398268396,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.02,
          "r1_tiou_0.5": 0.99,
          "top1_tiou": 0.7654752543752542,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 26.8,
          "r1_tiou_0.5": 0.35,
          "top1_tiou": 0.5137981716022813,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.18696551916221033,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.16,
          "r1_tiou_0.5": 0.99,
          "top1_tiou": 0.7277535482047037,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 21.32,
          "r1_tiou_0.5": 0.775,
          "top1_tiou": 0.6137509712560825,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.0,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.12454540816326531,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 0.0,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.9703217621446256,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 5.82,
          "r1_tiou_0.5": 1.0,
          "top1_tiou": 0.8983719603863952,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.0,
          "r1_tiou_0.5": 0.0675,
          "top1_tiou": 0.05747960372960373,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.495,
          "r1_tiou_0.5": 0.0675,
          "top1_tiou": 0.07201403171596402,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 45.4,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.0650457485948092,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.0,
          "r1_tiou_0.5": 0.1425,
          "top1_tiou": 0.09324802036199095,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.21,
          "r1_tiou_0.5": 0.155,
          "top1_tiou": 0.13315724048839792,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 43.47,
          "r1_tiou_0.5": 0.0375,
          "top1_tiou": 0.11807692412580305,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08840479484283832,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 12.215,
          "r1_tiou_0.5": 0.19,
          "top1_tiou": 0.20998731827814177,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 34.09,
          "r1_tiou_0.5": 0.065,
          "top1_tiou": 0.2248743155673699,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.08311139916654621,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 18.765,
          "r1_tiou_0.5": 0.1775,
          "top1_tiou": 0.2317637799933002,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 27.17,
          "r1_tiou_0.5": 0.2425,
          "top1_tiou": 0.35523776364772597,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.07436035085296819,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 27.81,
          "r1_tiou_0.5": 0.2925,
          "top1_tiou": 0.2832795013944693,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 15.51,
          "r1_tiou_0.5": 0.63,
          "top1_tiou": 0.5194494981890222,
          "trials": 400
        }
      },
      "signal_mean": 0.5,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.0,
          "r1_tiou_0.5": 0.2675,
          "top1_tiou": 0.21102816627816628,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.355,
          "r1_tiou_0.5": 0.2325,
          "top1_tiou": 0.2136590585884703,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 48.55,
          "r1_tiou_0.5": 0.0075,
          "top1_tiou": 0.09018367314148942,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.0,
          "r1_tiou_0.5": 0.305,
          "top1_tiou": 0.19366980446024562,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 9.015,
          "r1_tiou_0.5": 0.3075,
          "top1_tiou": 0.2590967128396477,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.72,
          "r1_tiou_0.5": 0.06,
          "top1_tiou": 0.15553346080552205,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.17637256258234515,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 10.955,
          "r1_tiou_0.5": 0.445,
          "top1_tiou": 0.38844783623186485,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 34.38,
          "r1_tiou_0.5": 0.135,
          "top1_tiou": 0.31107593806065187,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.13912117613220557,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 14.89,
          "r1_tiou_0.5": 0.5375,
          "top1_tiou": 0.4916542212333887,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 26.15,
          "r1_tiou_0.5": 0.44,
          "top1_tiou": 0.49947871950194167,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.10942788692400036,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 16.065,
          "r1_tiou_0.5": 0.705,
          "top1_tiou": 0.6009826052789219,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 13.26,
          "r1_tiou_0.5": 0.945,
          "top1_tiou": 0.7308658024184709,
          "trials": 400
        }
      },
      "signal_mean": 1.0,
      "true_duration": 48
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 2.0,
          "r1_tiou_0.5": 0.505,
          "top1_tiou": 0.38111353923853925,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 8.72,
          "r1_tiou_0.5": 0.41,
          "top1_tiou": 0.3477523045725058,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 47.44,
          "r1_tiou_0.5": 0.035,
          "top1_tiou": 0.1253987314526173,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 8
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 6.0,
          "r1_tiou_0.5": 0.5575,
          "top1_tiou": 0.32683326599870716,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 6.54,
          "r1_tiou_0.5": 0.605,
          "top1_tiou": 0.4982272549741707,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 42.39,
          "r1_tiou_0.5": 0.1125,
          "top1_tiou": 0.21900634476587194,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 12
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 14.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.2547553171466215,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 7.795,
          "r1_tiou_0.5": 0.795,
          "top1_tiou": 0.6276529950326253,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 33.16,
          "r1_tiou_0.5": 0.2,
          "top1_tiou": 0.41061297824407994,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 20
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 26.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.17456932507851625,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 12.445,
          "r1_tiou_0.5": 0.795,
          "top1_tiou": 0.6284828410147832,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 26.68,
          "r1_tiou_0.5": 0.5125,
          "top1_tiou": 0.5461031477891223,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 32
    },
    {
      "ar1_correlation": 0.6,
      "grid_base": 6,
      "grid_ratio": 2.0,
      "methods": {
        "mean": {
          "mean_absolute_duration_error": 42.0,
          "r1_tiou_0.5": 0.0,
          "top1_tiou": 0.11971338535414165,
          "trials": 400
        },
        "sqrt_valid_count": {
          "mean_absolute_duration_error": 5.67,
          "r1_tiou_0.5": 0.9475,
          "top1_tiou": 0.834001996664477,
          "trials": 400
        },
        "sum": {
          "mean_absolute_duration_error": 12.06,
          "r1_tiou_0.5": 0.9775,
          "top1_tiou": 0.7887607834734547,
          "trials": 400
        }
      },
      "signal_mean": 1.5,
      "true_duration": 48
    }
  ],
  "design": {
    "ar1_correlations": [
      0.0,
      0.6
    ],
    "bootstrap_seed": 3407,
    "boundary_margin": 24,
    "candidate_grid_implementation": "production_iterative_integer_rounding_with_upper_cap",
    "design_cell_bootstrap_resamples": 10000,
    "frame_standardization": "median_and_normalized_mad",
    "grid_bases": [
      4,
      5,
      6
    ],
    "grid_ratios": [
      1.25,
      1.5,
      2.0
    ],
    "mad_floor": 0.001,
    "maximum_candidate_duration": 72,
    "normalizations": [
      "sum",
      "mean",
      "sqrt_valid_count"
    ],
    "seed": 3407,
    "sequence_length": 192,
    "signal_means": [
      0.5,
      1.0,
      1.5
    ],
    "smoothing_kernel_size": 3,
    "smoothing_normalization": "local_squared_kernel_norm",
    "trials_per_noise_cell": 400,
    "true_durations": [
      8,
      12,
      20,
      32,
      48
    ],
    "uncertainty_method": "stratified_paired_trial_block_bootstrap_within_30_noise_cells"
  },
  "kind": "deja_cue_synthetic_duration_evidence",
  "reported_by_true_duration": {
    "12": {
      "mean": {
        "r1_tiou_0.5": 0.16722222222222222,
        "top1_tiou": 0.23259126507228073
      },
      "sqrt_valid_count": {
        "r1_tiou_0.5": 0.4912962962962964,
        "top1_tiou": 0.41853980941675273
      },
      "sum": {
        "r1_tiou_0.5": 0.09342592592592591,
        "top1_tiou": 0.2108227929851885
      }
    },
    "20": {
      "mean": {
        "r1_tiou_0.5": 0.0006481481481481482,
        "top1_tiou": 0.17610283585994133
      },
      "sqrt_valid_count": {
        "r1_tiou_0.5": 0.6162037037037037,
        "top1_tiou": 0.5422760391396596
      },
      "sum": {
        "r1_tiou_0.5": 0.28759259259259257,
        "top1_tiou": 0.3798273195303785
      }
    },
    "32": {
      "mean": {
        "r1_tiou_0.5": 0.0,
        "top1_tiou": 0.12522152765480565
      },
      "sqrt_valid_count": {
        "r1_tiou_0.5": 0.6750000000000002,
        "top1_tiou": 0.5995202528264423
      },
      "sum": {
        "r1_tiou_0.5": 0.5798611111111112,
        "top1_tiou": 0.5665068236342458
      }
    },
    "48": {
      "mean": {
        "r1_tiou_0.5": 0.0,
        "top1_tiou": 0.09101090118046212
      },
      "sqrt_valid_count": {
        "r1_tiou_0.5": 0.7164814814814814,
        "top1_tiou": 0.6417760267021196
      },
      "sum": {
        "r1_tiou_0.5": 0.9129629629629631,
        "top1_tiou": 0.7203483096424685
      }
    },
    "8": {
      "mean": {
        "r1_tiou_0.5": 0.38907407407407396,
        "top1_tiou": 0.27303669787003115
      },
      "sqrt_valid_count": {
        "r1_tiou_0.5": 0.3853703703703704,
        "top1_tiou": 0.33655529410768487
      },
      "sum": {
        "r1_tiou_0.5": 0.03199074074074074,
        "top1_tiou": 0.12598533783474092
      }
    }
  },
  "reported_equal_cell_summary": {
    "mean": {
      "design_cells": 270,
      "mean_absolute_duration_error": 18.94840740740741,
      "r1_tiou_0.5": 0.1113888888888889,
      "top1_tiou": 0.17959264552750423
    },
    "sqrt_valid_count": {
      "design_cells": 270,
      "mean_absolute_duration_error": 9.599231481481482,
      "r1_tiou_0.5": 0.5768703703703704,
      "top1_tiou": 0.5077334844385318
    },
    "sum": {
      "design_cells": 270,
      "mean_absolute_duration_error": 30.269620370370372,
      "r1_tiou_0.5": 0.3811666666666667,
      "top1_tiou": 0.40069811672540445
    }
  },
  "reported_paired_comparisons": {
    "sqrt_valid_count_minus_mean": {
      "r1_tiou_0.5_cells_baseline_better": 34,
      "r1_tiou_0.5_cells_sqrt_better": 234,
      "r1_tiou_0.5_cells_tied": 2,
      "r1_tiou_0.5_conditional_stratified_paired_trial_bootstrap_95ci": [
        0.45960162037037045,
        0.4711391203703703
      ],
      "r1_tiou_0.5_delta": 0.4654814814814815,
      "r1_tiou_0.5_paired_noise_sequence_blocks": 12000,
      "top1_tiou_cells_baseline_better": 5,
      "top1_tiou_cells_sqrt_better": 265,
      "top1_tiou_cells_tied": 0,
      "top1_tiou_conditional_stratified_paired_trial_bootstrap_95ci": [
        0.3247176815250435,
        0.3314373332444988
      ],
      "top1_tiou_delta": 0.32814083891102763,
      "top1_tiou_paired_noise_sequence_blocks": 12000
    },
    "sqrt_valid_count_minus_sum": {
      "r1_tiou_0.5_cells_baseline_better": 62,
      "r1_tiou_0.5_cells_sqrt_better": 200,
      "r1_tiou_0.5_cells_tied": 8,
      "r1_tiou_0.5_conditional_stratified_paired_trial_bootstrap_95ci": [
        0.1884997685185185,
        0.2028981481481481
      ],
      "r1_tiou_0.5_delta": 0.1957037037037037,
      "r1_tiou_0.5_paired_noise_sequence_blocks": 12000,
      "top1_tiou_cells_baseline_better": 69,
      "top1_tiou_cells_sqrt_better": 201,
      "top1_tiou_cells_tied": 0,
      "top1_tiou_conditional_stratified_paired_trial_bootstrap_95ci": [
        0.10296762780423163,
        0.11120057558571014
      ],
      "top1_tiou_delta": 0.10703536771312733,
      "top1_tiou_paired_noise_sequence_blocks": 12000
    }
  },
  "schema_version": 1
}