{ "seed": 7, "core_verification": { "drift_beta_slope_observed": 0.11999999999999993, "drift_beta_slope_predicted": 0.12, "drift_eps_slope_observed_beta_0.5": 1.0, "drift_eps_slope_predicted_beta_0.5": 1.0, "x2_generator_max_abs_error_small_eps": 0.0, "x2_generator_prediction_tolerance": 0.02, "rows": [ { "eps": 0.015, "beta": 0.0, "observed_mean": 2.0572665144858775e-18, "predicted_mean": 0.0, "relative_drift_error": 2.0572665144858776e-06, "observed_generator_x": 1.3715110096572517e-16, "predicted_generator_x": 0.0, "observed_generator_x2": 1.9999999999999998, "predicted_generator_x2": 2.0 }, { "eps": 0.015, "beta": 0.25, "observed_mean": 0.007500000000000003, "predicted_mean": 0.0075, "relative_drift_error": 4.625929269271486e-16, "observed_generator_x": 0.5000000000000002, "predicted_generator_x": 0.5, "observed_generator_x2": 2.00375, "predicted_generator_x2": 2.00375 }, { "eps": 0.015, "beta": 0.5, "observed_mean": 0.015, "predicted_mean": 0.015, "relative_drift_error": 0.0, "observed_generator_x": 1.0, "predicted_generator_x": 1.0, "observed_generator_x2": 2.015, "predicted_generator_x2": 2.015 }, { "eps": 0.015, "beta": 1.0, "observed_mean": 0.029999999999999992, "predicted_mean": 0.03, "relative_drift_error": 2.312964634635743e-16, "observed_generator_x": 1.9999999999999996, "predicted_generator_x": 2.0, "observed_generator_x2": 2.06, "predicted_generator_x2": 2.06 }, { "eps": 0.03, "beta": 0.0, "observed_mean": 1.768873732633915e-18, "predicted_mean": 0.0, "relative_drift_error": 1.7688737326339151e-06, "observed_generator_x": 5.896245775446384e-17, "predicted_generator_x": 0.0, "observed_generator_x2": 2.0, "predicted_generator_x2": 2.0 }, { "eps": 0.03, "beta": 0.25, "observed_mean": 0.014999999999999993, "predicted_mean": 0.015, "relative_drift_error": 4.625929269271486e-16, "observed_generator_x": 0.4999999999999998, "predicted_generator_x": 0.5, "observed_generator_x2": 2.0075000000000003, "predicted_generator_x2": 2.0075 }, { "eps": 0.03, "beta": 0.5, "observed_mean": 0.03, "predicted_mean": 0.03, "relative_drift_error": 0.0, "observed_generator_x": 1.0, "predicted_generator_x": 1.0, "observed_generator_x2": 2.03, "predicted_generator_x2": 2.03 }, { "eps": 0.03, "beta": 1.0, "observed_mean": 0.06, "predicted_mean": 0.06, "relative_drift_error": 0.0, "observed_generator_x": 2.0, "predicted_generator_x": 2.0, "observed_generator_x2": 2.12, "predicted_generator_x2": 2.12 }, { "eps": 0.06, "beta": 0.0, "observed_mean": 9.797792009955643e-19, "predicted_mean": 0.0, "relative_drift_error": 9.797792009955643e-07, "observed_generator_x": 1.6329653349926073e-17, "predicted_generator_x": 0.0, "observed_generator_x2": 2.0, "predicted_generator_x2": 2.0 }, { "eps": 0.06, "beta": 0.25, "observed_mean": 0.029999999999999995, "predicted_mean": 0.03, "relative_drift_error": 1.1564823173178715e-16, "observed_generator_x": 0.49999999999999994, "predicted_generator_x": 0.5, "observed_generator_x2": 2.0149999999999997, "predicted_generator_x2": 2.015 }, { "eps": 0.06, "beta": 0.5, "observed_mean": 0.06, "predicted_mean": 0.06, "relative_drift_error": 0.0, "observed_generator_x": 1.0, "predicted_generator_x": 1.0, "observed_generator_x2": 2.06, "predicted_generator_x2": 2.06 }, { "eps": 0.06, "beta": 1.0, "observed_mean": 0.11999999999999998, "predicted_mean": 0.12, "relative_drift_error": 1.1564823173178715e-16, "observed_generator_x": 1.9999999999999998, "predicted_generator_x": 2.0, "observed_generator_x2": 2.24, "predicted_generator_x2": 2.24 }, { "eps": 0.12, "beta": 0.0, "observed_mean": -8.274025095996562e-19, "predicted_mean": 0.0, "relative_drift_error": 8.274025095996562e-07, "observed_generator_x": -6.895020913330469e-18, "predicted_generator_x": 0.0, "observed_generator_x2": 1.9999999999999998, "predicted_generator_x2": 2.0 }, { "eps": 0.12, "beta": 0.25, "observed_mean": 0.06, "predicted_mean": 0.06, "relative_drift_error": 0.0, "observed_generator_x": 0.5, "predicted_generator_x": 0.5, "observed_generator_x2": 2.03, "predicted_generator_x2": 2.03 }, { "eps": 0.12, "beta": 0.5, "observed_mean": 0.11999999999999997, "predicted_mean": 0.12, "relative_drift_error": 2.312964634635743e-16, "observed_generator_x": 0.9999999999999998, "predicted_generator_x": 1.0, "observed_generator_x2": 2.1199999999999997, "predicted_generator_x2": 2.12 }, { "eps": 0.12, "beta": 1.0, "observed_mean": 0.23999999999999994, "predicted_mean": 0.24, "relative_drift_error": 2.312964634635743e-16, "observed_generator_x": 1.9999999999999996, "predicted_generator_x": 2.0, "observed_generator_x2": 2.4799999999999995, "predicted_generator_x2": 2.48 } ], "stability": { "row_sum": 0.9999999999999998, "max_entry": 0.005758235824522135, "inf_norm_input": 3.661081810206792, "inf_norm_one_step": 0.021165714017738882, "inf_norm_bound_holds": true } }, "forecast": { "n": 700, "k": 35, "epsilon": 0.014827701831707141, "shift": 0.22, "symmetric_mse": 0.021655069085582197, "ordered_best_mse": 0.01671573574615124, "ordered_best_beta": 1.8, "ordered_improvement_fraction": 0.22809132217082295, "symmetric_entropy": 3.5016831413777085, "ordered_entropy": 3.4863860672934885, "all_beta_mse": { "0.0": 0.021655069085582197, "0.1": 0.021359843751421703, "0.2": 0.02106690893373965, "0.30000000000000004": 0.020776299081946035, "0.4": 0.02048804742831794, "0.5": 0.020202185971429372, "0.6000000000000001": 0.019918745461146546, "0.7000000000000001": 0.019637755385202658, "0.8": 0.019359243957362136, "0.9": 0.019083238107180607, "1.0": 0.018809763471362855, "1.1": 0.018538844386717095, "1.2000000000000002": 0.018270503884700074, "1.3": 0.018004763687543623, "1.4000000000000001": 0.017741644205949543, "1.5": 0.017481164538335925, "1.6": 0.017223342471614562, "1.7000000000000002": 0.01696819448347546, "1.8": 0.01671573574615124 } } }