Detailed-Balance Graph Transport Layer / results.json

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  1{
  2  "seed": 7,
  3  "n": 18,
  4  "dt_bound": 0.00022875341400494816,
  5  "initial_energy": 0.20544088611863684,
  6  "stability_prediction": "nonnegative for dt <= bound; sufficiently larger dt can fail",
  7  "stability": [
  8    {
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 10      "min_mass": 0.008040381490726322,
 11      "mass_error": 0.0,
 12      "energy_change": -0.0015881818221029909
 13    },
 14    {
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 16      "min_mass": 0.00810726416890647,
 17      "mass_error": 0.0,
 18      "energy_change": -0.003166827490991536
 19    },
 20    {
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 22      "min_mass": 0.00823835421813956,
 23      "mass_error": 0.0,
 24      "energy_change": -0.006233456868087545
 25    },
 26    {
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 28      "min_mass": 0.00824370483239397,
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 30      "energy_change": -0.006357854436888771
 31    },
 32    {
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 34      "min_mass": 0.008776090950707948,
 35      "mass_error": 0.0,
 36      "energy_change": -0.018436674162457867
 37    },
 38    {
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 41      "mass_error": 0.0,
 42      "energy_change": -0.056370868532221785
 43    },
 44    {
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 47      "mass_error": 0.0,
 48      "energy_change": -0.12552468787945917
 49    },
 50    {
 51      "factor": 100.0,
 52      "min_mass": -0.09767527478459044,
 53      "mass_error": 0.0,
 54      "energy_change": null
 55    },
 56    {
 57      "factor": 300.0,
 58      "min_mass": -0.44364382729786517,
 59      "mass_error": 2.220446049250313e-16,
 60      "energy_change": null
 61    },
 62    {
 63      "factor": 1000.0,
 64      "min_mass": -1.654533761094327,
 65      "mass_error": 4.440892098500626e-16,
 66      "energy_change": null
 67    }
 68  ],
 69  "first_negative_factor_tested": 100.0,
 70  "dissipation_prediction": "-dF/dt equals edge dissipation with O(dt) Euler error",
 71  "dissipation": [
 72    {
 73      "dt": 1e-05,
 74      "measured": 27.840039893861633,
 75      "predicted": 27.85467598354952,
 76      "relative_error": 0.000525444621812531
 77    },
 78    {
 79      "dt": 3e-05,
 80      "measured": 27.810789218210562,
 81      "predicted": 27.85467598354952,
 82      "relative_error": 0.0015755618684947525
 83    },
 84    {
 85      "dt": 0.0001,
 86      "measured": 27.70863445593713,
 87      "predicted": 27.85467598354952,
 88      "relative_error": 0.005242980665028708
 89    },
 90    {
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 92      "measured": 27.4185945992649,
 93      "predicted": 27.85467598354952,
 94      "relative_error": 0.015655589910367716
 95    },
 96    {
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 98      "measured": 26.42203870683693,
 99      "predicted": 27.85467598354952,
100      "relative_error": 0.05143255938639102
101    }
102  ],
103  "conductance_prediction": "dissipation scales linearly with global conductance",
104  "conductance": [
105    {
106      "scale": 0.25,
107      "dissipation": 6.96366899588738,
108      "predicted": 6.96366899588738,
109      "relative_error": 0.0
110    },
111    {
112      "scale": 0.5,
113      "dissipation": 13.92733799177476,
114      "predicted": 13.92733799177476,
115      "relative_error": 0.0
116    },
117    {
118      "scale": 1.0,
119      "dissipation": 27.85467598354952,
120      "predicted": 27.85467598354952,
121      "relative_error": 0.0
122    },
123    {
124      "scale": 2.0,
125      "dissipation": 55.70935196709904,
126      "predicted": 55.70935196709904,
127      "relative_error": 0.0
128    },
129    {
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131      "dissipation": 111.41870393419808,
132      "predicted": 111.41870393419808,
133      "relative_error": 0.0
134    }
135  ],
136  "classification": {
137    "baseline_accuracy": 1.0,
138    "transport_accuracy": 1.0,
139    "baseline_min_activation": 0.04009804491960407,
140    "transport_min_mass": 0.0037538145855758845,
141    "transport_dt_over_bound": 0.9
142  },
143  "max_mass_error": 4.440892098500626e-16,
144  "max_conductance_relative_error": 0.0,
145  "smallest_dt_dissipation_relative_error": 0.000525444621812531
146}