{ "seed": 937, "scalar_verification": { "burnin_rows": [ { "r": 0.5, "epsilon": 0.01, "predicted_k": 7, "observed_k": 7, "abs_error": 0 }, { "r": 0.5, "epsilon": 0.0001, "predicted_k": 14, "observed_k": 14, "abs_error": 0 }, { "r": 0.5, "epsilon": 1e-06, "predicted_k": 20, "observed_k": 20, "abs_error": 0 }, { "r": 0.7, "epsilon": 0.01, "predicted_k": 13, "observed_k": 13, "abs_error": 0 }, { "r": 0.7, "epsilon": 0.0001, "predicted_k": 26, "observed_k": 26, "abs_error": 0 }, { "r": 0.7, "epsilon": 1e-06, "predicted_k": 39, "observed_k": 39, "abs_error": 0 }, { "r": 0.85, "epsilon": 0.01, "predicted_k": 29, "observed_k": 29, "abs_error": 0 }, { "r": 0.85, "epsilon": 0.0001, "predicted_k": 57, "observed_k": 57, "abs_error": 0 }, { "r": 0.85, "epsilon": 1e-06, "predicted_k": 86, "observed_k": 86, "abs_error": 0 }, { "r": 0.95, "epsilon": 0.01, "predicted_k": 90, "observed_k": 90, "abs_error": 0 }, { "r": 0.95, "epsilon": 0.0001, "predicted_k": 180, "observed_k": 180, "abs_error": 0 }, { "r": 0.95, "epsilon": 1e-06, "predicted_k": 270, "observed_k": 270, "abs_error": 0 }, { "r": 0.99, "epsilon": 0.01, "predicted_k": 459, "observed_k": 459, "abs_error": 0 }, { "r": 0.99, "epsilon": 0.0001, "predicted_k": 917, "observed_k": 917, "abs_error": 0 }, { "r": 0.99, "epsilon": 1e-06, "predicted_k": 1375, "observed_k": 1375, "abs_error": 0 } ], "log_scaling": [ { "r": 0.5, "observed_slope": 1.411457066185569, "predicted_slope": 1.4426950408889634, "relative_error": 0.02165251409206072 }, { "r": 0.7, "observed_slope": 2.822914132371137, "predicted_slope": 2.8036732520571284, "relative_error": 0.006862739907330923 }, { "r": 0.85, "observed_slope": 6.188696367121341, "predicted_slope": 6.153129380622034, "relative_error": 0.005780308571329098 }, { "r": 0.95, "observed_slope": 19.54325168564634, "predicted_slope": 19.495725746223673, "relative_error": 0.0024377620018517098 }, { "r": 0.99, "observed_slope": 99.45343635584466, "predicted_slope": 99.49916247342207, "relative_error": 0.00045956283892973097 } ], "stability_boundary": [ { "r": 0.98, "E_1000": 1.6829673572159268e-09, "stable_observed": true, "stable_predicted": true }, { "r": 0.999, "E_1000": 0.3676954247709635, "stable_observed": true, "stable_predicted": true }, { "r": 1.0, "E_1000": 1.0, "stable_observed": false, "stable_predicted": false }, { "r": 1.001, "E_1000": 2.7169239322355985, "stable_observed": false, "stable_predicted": false }, { "r": 1.02, "E_1000": 398264651.65813607, "stable_observed": false, "stable_predicted": false } ], "cost_scaling": [ { "r": 0.5, "epsilon": 0.01, "observer_cost": 6.140226914650789, "retrieval_cost": 100.0, "observer_cheaper": true }, { "r": 0.5, "epsilon": 0.0001, "observer_cost": 12.280453829301578, "retrieval_cost": 10000.0, "observer_cheaper": true }, { "r": 0.5, "epsilon": 1e-06, "observer_cost": 18.420680743952364, "retrieval_cost": 1000000.0, "observer_cheaper": true }, { "r": 0.8, "epsilon": 0.01, "observer_cost": 12.792139405522482, "retrieval_cost": 100.0, "observer_cheaper": true }, { "r": 0.8, "epsilon": 0.0001, "observer_cost": 25.584278811044964, "retrieval_cost": 10000.0, "observer_cheaper": true }, { "r": 0.8, "epsilon": 1e-06, "observer_cost": 38.37641821656744, "retrieval_cost": 1000000.0, "observer_cheaper": true }, { "r": 0.95, "epsilon": 0.01, "observer_cost": 47.232514728082975, "retrieval_cost": 100.0, "observer_cheaper": true }, { "r": 0.95, "epsilon": 0.0001, "observer_cost": 94.46502945616595, "retrieval_cost": 10000.0, "observer_cheaper": true }, { "r": 0.95, "epsilon": 1e-06, "observer_cost": 141.69754418424893, "retrieval_cost": 1000000.0, "observer_cheaper": true } ] }, "lorenz_results": { "observer": { "mse": 0.562060503248168, "rmse": 0.7497069449112553, "retrievals": 0, "retrieval_rate": 0.0, "relative_cost": 1.0, "mean_residual": 0.9821513737113687, "bad_period_retrievals": 0 }, "retrieve": { "mse": 207.34857621466247, "rmse": 14.399603335323597, "retrievals": 2600, "retrieval_rate": 1.0, "relative_cost": 7.0, "mean_residual": 3.7114824395252577, "bad_period_retrievals": 114 }, "adaptive": { "mse": 25.89456092336078, "rmse": 5.088669857964926, "retrievals": 933, "retrieval_rate": 0.35884615384615387, "relative_cost": 3.153076923076923, "mean_residual": 2.059467976306961, "bad_period_retrievals": 100 }, "adaptive_event_diagnostics": { "bad_steps": 180, "bad_switches": 143, "bad_recall": 0.7944444444444444, "good_switch_rate": 0.2553719008264463 } }, "note": "Toy observer/retrieval costs are normalized units; retrieval cost is 7x observer." }