{ "identity": { "absolute_error": 1.1102230246251565e-15, "relative_error": 4.844199237277392e-16 }, "noise_sweep": [ { "sigma": 0.01, "weak_var": 1.0987736314266595e-06, "strong_var": 1.201534342010772, "weak_over_sigma2": 0.010987736314266595, "strong_over_sigma2": 12015.34342010772 }, { "sigma": 0.03, "weak_var": 9.760296489794363e-06, "strong_var": 10.571606361267328, "weak_over_sigma2": 0.010844773877549292, "strong_over_sigma2": 11746.229290297031 }, { "sigma": 0.1, "weak_var": 0.00011386842570602395, "strong_var": 117.54051836897834, "weak_over_sigma2": 0.011386842570602393, "strong_over_sigma2": 11754.051836897832 }, { "sigma": 0.3, "weak_var": 0.0009508139823884562, "strong_var": 1069.144552599165, "weak_over_sigma2": 0.01056459980431618, "strong_over_sigma2": 11879.383917768502 } ], "resolution_sweep": [ { "n": 65, "weak_norm2": 0.0426451257271337, "strong_norm2": 1278.9461337839193 }, { "n": 129, "weak_norm2": 0.0214493667474359, "strong_norm2": 3877.0424606504353, "weak_ratio_prev": 0.5029734672300044, "strong_ratio_prev": 3.031435303048869 }, { "n": 257, "weak_norm2": 0.010815577523155226, "strong_norm2": 11752.9963674464, "weak_ratio_prev": 0.5042376145882321, "strong_ratio_prev": 3.031433492599575 }, { "n": 513, "weak_norm2": 0.005476211334172537, "strong_norm2": 35628.42329918625, "weak_ratio_prev": 0.5063262985678237, "strong_ratio_prev": 3.0314331924640356 } ], "coefficient_fit": [ { "sigma": 0.01, "weak_rmse": 0.007329275429032863, "strong_rmse": 0.1474187070497865, "weak_noiseless": -0.8849544248348283, "strong_noiseless": -1.1217589725862713 }, { "sigma": 0.03, "weak_rmse": 0.020556991326393284, "strong_rmse": 0.4889786655378507, "weak_noiseless": -0.8849544248348283, "strong_noiseless": -1.1217589725862713 }, { "sigma": 0.1, "weak_rmse": 0.0664286302349654, "strong_rmse": 1.730385220597502, "weak_noiseless": -0.8849544248348283, "strong_noiseless": -1.1217589725862713 }, { "sigma": 0.3, "weak_rmse": 0.218730328650216, "strong_rmse": 10.361216350665623, "weak_noiseless": -0.8849544248348283, "strong_noiseless": -1.1217589725862713 } ], "predictions": { "noise_linearity": "weak variance / sigma^2 should be constant", "weak_resolution_ratio_predicted": 0.5, "strong_resolution_ratio_predicted": 3.0314331330207964, "observed_weak_ratios": [ 0.5029734672300044, 0.5042376145882321, 0.5063262985678237 ], "observed_strong_ratios": [ 3.031435303048869, 3.031433492599575, 3.0314331924640356 ], "identity_tolerance": "machine precision" } }