{ "spectral_prediction": { "prediction": "rho_alpha / rho_0 = 1-alpha", "max_abs_error": 1.887379141862766e-15, "rows_alpha_observed_predicted": [ [ 0.0, 0.9934382782940717, 0.9934382782940717 ], [ 0.01, 0.9835038955111319, 0.983503895511131 ], [ 0.03, 0.963635129945249, 0.9636351299452496 ], [ 0.1, 0.8940944504646655, 0.8940944504646645 ], [ 0.3, 0.6954067948058521, 0.6954067948058502 ], [ 0.6, 0.39737531131762843, 0.3973753113176287 ] ] }, "mfpt_prediction": { "prediction": "mean MFPT to target decreases with alpha", "rows_alpha_mean_mfpt": [ [ 0.0, 528.4508467928092 ], [ 0.01, 315.9764069810864 ], [ 0.03, 218.20501862015936 ], [ 0.1, 139.48502497839323 ], [ 0.3, 92.64494799833925 ], [ 0.6, 71.66085910273942 ] ] }, "mixing_prediction": { "prediction": "m-step slow-mode norm = [rho_0(1-alpha)]^m, m=12", "max_abs_error": 1.4099832412739488e-14, "rows_alpha_observed_predicted": [ [ 0.0, 0.9240398012673531, 0.9240398012673672 ], [ 0.01, 0.8190549007069593, 0.8190549007069733 ], [ 0.03, 0.6411379573650959, 0.6411379573651055 ], [ 0.1, 0.2609761327619335, 0.26097613276193776 ], [ 0.3, 0.012789900274496394, 0.012789900274496595 ], [ 0.6, 1.550281533849484e-05, 1.5502815338459703e-05 ] ] }, "classification": { "prediction": "teleportation can improve delayed global classification but oversmooths features", "rows_alpha_accuracy_feature_std": [ [ 0.0, 0.6166666666666667, 0.8761464035213136 ], [ 0.01, 0.6166666666666667, 0.8084594453913955 ], [ 0.03, 0.6166666666666667, 0.6866739256550496 ], [ 0.1, 0.6166666666666667, 0.37715229787535415 ], [ 0.3, 0.75, 0.050508096631660726 ], [ 0.6, 0.8166666666666667, 0.0005741913070117295 ] ] } }