{
  "definition": {
    "potential": "Megias et al. published SI Eq25, numerical coefficients; our dimensionless thermal scale .6",
    "bounds": "reflect x[-2,2],y[-1.5,2.5]; A x<=-.85 and y<=.5; B x>=.85 and y<=.5",
    "dynamics": "overdamped drift=-M gradV, diffusion=thermal_scale M; reversible detailed-balance CTMC approximation",
    "limit": "not PCCANN training, authors physical temperature/rate reproduction or unlimited-domain proof"
  },
  "grids": [
    {
      "h": 0.05,
      "thermal_scale": 0.6,
      "mobility_y": 1.0,
      "nodes": 6561,
      "max_harmonic_residual": 5.557998439374049e-13,
      "q_range": [
        0.0,
        1.0
      ],
      "symmetry_residual": 5.773159728050814e-15,
      "capacity": 0.01934011920958089,
      "divider_flux": 0.019340119209580904,
      "upper_net_flux_fraction_y_gt_point5": 0.3489159576532677,
      "flux_mean_y": 0.28562430420592316,
      "Brier_full_state": 0.15309958675943475,
      "Brier_excess_x": 0.015517527775315433,
      "Brier_excess_energy": 0.09690041324056523,
      "test_initial_law": "uniform x∈[-.8,.8], y∈[-1,2], fixed independently of q",
      "same_x_example": {
        "x": -0.25,
        "q_min": 0.16069931847858182,
        "q_max": 0.46562158457456304,
        "y_of_min": 0.050000000000000044,
        "y_of_max": 2.0
      }
    },
    {
      "h": 0.025,
      "thermal_scale": 0.6,
      "mobility_y": 1.0,
      "nodes": 25921,
      "max_harmonic_residual": 2.9558577807620168e-12,
      "q_range": [
        0.0,
        1.0
      ],
      "symmetry_residual": 2.1760371282653068e-14,
      "capacity": 0.019300602449212167,
      "divider_flux": 0.019300602449212084,
      "upper_net_flux_fraction_y_gt_point5": 0.35200198870384586,
      "flux_mean_y": 0.2864491192019082,
      "Brier_full_state": 0.15403011426249147,
      "Brier_excess_x": 0.015401727832965532,
      "Brier_excess_energy": 0.09596988573750855,
      "test_initial_law": "uniform x∈[-.8,.8], y∈[-1,2], fixed independently of q",
      "same_x_example": {
        "x": -0.25,
        "q_min": 0.16074587185069739,
        "q_max": 0.46568114050242904,
        "y_of_min": 0.050000000000000044,
        "y_of_max": 2.0
      }
    },
    {
      "h": 0.0125,
      "thermal_scale": 0.6,
      "mobility_y": 1.0,
      "nodes": 103041,
      "max_harmonic_residual": 2.546585164964199e-11,
      "q_range": [
        0.0,
        1.0
      ],
      "symmetry_residual": 1.5987211554602254e-14,
      "capacity": 0.019290277258120735,
      "divider_flux": 0.01929027725812077,
      "upper_net_flux_fraction_y_gt_point5": 0.3534041384068641,
      "flux_mean_y": 0.2866459491364547,
      "Brier_full_state": 0.15450392804191707,
      "Brier_excess_x": 0.015340106716505826,
      "Brier_excess_energy": 0.09549607195808293,
      "test_initial_law": "uniform x∈[-.8,.8], y∈[-1,2], fixed independently of q",
      "same_x_example": {
        "x": -0.25,
        "q_min": 0.16075967785267056,
        "q_max": 0.46569761362878903,
        "y_of_min": 0.050000000000000044,
        "y_of_max": 2.0
      }
    }
  ],
  "convergence": [
    {
      "h": 0.05,
      "max_q_difference_to_finest": 0.0015234075165823646,
      "rms_q_difference_to_finest": 0.00020845359781813665
    },
    {
      "h": 0.025,
      "max_q_difference_to_finest": 0.0005317609804329493,
      "rms_q_difference_to_finest": 6.198927552199509e-05
    }
  ],
  "changes": [
    {
      "h": 0.0125,
      "thermal_scale": 0.3,
      "mobility_y": 1.0,
      "nodes": 103041,
      "max_harmonic_residual": 1.1141310096718371e-11,
      "q_range": [
        0.0,
        1.0
      ],
      "symmetry_residual": 5.5067062021407764e-14,
      "capacity": 0.0003417496654654631,
      "divider_flux": 0.00034174966546547024,
      "upper_net_flux_fraction_y_gt_point5": 0.42011180903232237,
      "flux_mean_y": 0.42936153867836224,
      "Brier_full_state": 0.13294023595363347,
      "Brier_excess_x": 0.023583672856536706,
      "Brier_excess_energy": 0.11705976404636653,
      "test_initial_law": "uniform x∈[-.8,.8], y∈[-1,2], fixed independently of q",
      "same_x_example": {
        "x": -0.25,
        "q_min": 0.0680053890626478,
        "q_max": 0.4793878801501326,
        "y_of_min": 0.10000000000000009,
        "y_of_max": 2.0
      },
      "label": "temperature-change",
      "old_committor_Brier_excess": 0.002196127542350368,
      "old_committor_max_probability_error": 0.09988625043616034
    },
    {
      "h": 0.0125,
      "thermal_scale": 0.6,
      "mobility_y": 0.1,
      "nodes": 103041,
      "max_harmonic_residual": 9.094947017729282e-12,
      "q_range": [
        0.0,
        1.0
      ],
      "symmetry_residual": 2.5202062658991053e-14,
      "capacity": 0.015059382425118133,
      "divider_flux": 0.015059382425117996,
      "upper_net_flux_fraction_y_gt_point5": 0.1690367162811206,
      "flux_mean_y": -0.030472587641300935,
      "Brier_full_state": 0.16380654206134448,
      "Brier_excess_x": 0.027227563499417094,
      "Brier_excess_energy": 0.08619345793865553,
      "test_initial_law": "uniform x∈[-.8,.8], y∈[-1,2], fixed independently of q",
      "same_x_example": {
        "x": -0.25,
        "q_min": 0.15032106932436273,
        "q_max": 0.4997089094566073,
        "y_of_min": 0.08750000000000013,
        "y_of_max": 2.0
      },
      "label": "mobility-change",
      "old_committor_Brier_excess": 0.0038915918435041947,
      "old_committor_max_probability_error": 0.3372577511272058
    }
  ],
  "ring": [
    {
      "circulation": 0.0,
      "scale": 1.0,
      "stationary": [
        0.25,
        0.25,
        0.25,
        0.25
      ],
      "stationarity_residual": 0.0,
      "forward_q": [
        0.0,
        0.5,
        1.0,
        0.5
      ],
      "history_qA": [
        1.0,
        0.5,
        0.0,
        0.5
      ],
      "upper_forward_fraction": 0.5,
      "Brier_excess_position_only_at_middle": 0.0,
      "middle_exit_mean_time": 0.5
    },
    {
      "circulation": 0.8,
      "scale": 1.0,
      "stationary": [
        0.25,
        0.25,
        0.25,
        0.25
      ],
      "stationarity_residual": 0.0,
      "forward_q": [
        0.0,
        0.9,
        1.0,
        0.09999999999999998
      ],
      "history_qA": [
        1.0,
        0.9,
        0.0,
        0.09999999999999998
      ],
      "upper_forward_fraction": 0.9878048780487805,
      "Brier_excess_position_only_at_middle": 0.16000000000000003,
      "middle_exit_mean_time": 0.5
    },
    {
      "circulation": 0.8,
      "scale": 10.0,
      "stationary": [
        0.25,
        0.25,
        0.25,
        0.25
      ],
      "stationarity_residual": 1.1102230246251565e-16,
      "forward_q": [
        0.0,
        0.9,
        1.0,
        0.09999999999999998
      ],
      "history_qA": [
        1.0,
        0.9,
        0.0,
        0.09999999999999998
      ],
      "upper_forward_fraction": 0.9878048780487805,
      "Brier_excess_position_only_at_middle": 0.16000000000000003,
      "middle_exit_mean_time": 0.05
    }
  ],
  "hidden_velocity": {
    "lambda_plus": 0.6180339887498949,
    "lambda_minus": -1.618033988749895,
    "future_noise_variance": 0.40450849718747367,
    "examples": [
      {
        "x0": 0.0,
        "v0": -1.0,
        "unstable_coordinate": -1.0,
        "event": "asymptotic +/- escape direction of local inverted harmonic model",
        "probability_positive": 0.05794017715391188
      },
      {
        "x0": 0.0,
        "v0": 0.0,
        "unstable_coordinate": 0.0,
        "event": "asymptotic +/- escape direction of local inverted harmonic model",
        "probability_positive": 0.5
      },
      {
        "x0": 0.0,
        "v0": 1.0,
        "unstable_coordinate": 1.0,
        "event": "asymptotic +/- escape direction of local inverted harmonic model",
        "probability_positive": 0.9420598228460881
      }
    ]
  }
}