{ "seed": 1387, "prediction_checks": { "path_capacity_power_law": { "predicted_exponent": -1.0, "observed_exponent": -1.0000000000000002, "relative_error": 2.220446049250313e-16 }, "grid2_capacity_log_law": { "prediction": "Cap approximately affine in 1/log(R)", "R2": 0.984512822642102, "capacity_ratio_R64_over_R4": 0.5250386577826318, "log_ratio_prediction": 0.33333333333333337 }, "grid3_capacity_nonvanishing": { "early": 4.636363636363641, "late": 4.068964250670051, "late_over_early": 0.8776197403405984 }, "influence_local_clt": { "times": [ 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 ], "l2": [ 0.41076061, 0.34744874, 0.29303183, 0.24677199, 0.20766201, 0.17468627, 0.14691997, 0.12355579, 0.10390238, 0.08737314 ], "fitted_exponent": -0.24855585187375084, "predicted_exponent": -0.25 }, "row_stochasticity": { "max_row_sum_error": 0.0, "max_nonnegative_error": 0.0, "feature_mass_before": 0.9844408064811185, "feature_mass_after_degree_weighted": 8.47388665738425, "feature_mass_expected": 8.47388665738425 } }, "capacities": { "1": { "R": [ 4, 8, 16, 32, 64, 128 ], "capacity": [ 0.5, 0.25, 0.12499999999999997, 0.0625, 0.031249999999999997, 0.015625000000000007 ] }, "2": { "R": [ 4, 8, 16, 24, 32, 48, 64 ], "capacity": [ 2.0451127819548858, 1.6664076384323014, 1.4072468523363095, 1.2900307493714995, 1.2180653886454527, 1.1292866138589825, 1.0737632700516975 ] }, "3": { "R": [ 2, 3, 4, 5, 6, 8, 10 ], "capacity": [ 4.636363636363641, 4.367647058823535, 4.253390265783219, 4.1893073494275574, 4.148130753503838, 4.098189863366054, 4.068964250670051 ] } }, "classification": [ { "model": "GCN_unweighted", "best_accuracy": 0.9055555555555556, "best_depth": 7, "accuracy_depth20": 0.9, "variance_depth1": 0.8972285589153065, "variance_depth20": 0.42311681411588403 }, { "model": "capacity_diffusion_weighted", "best_accuracy": 0.9111111111111111, "best_depth": 7, "accuracy_depth20": 0.9, "variance_depth1": 0.9284352879312351, "variance_depth20": 0.45361977488812666 } ] }