{ "prediction_checks": { "rate_at_fixed_params": { "gamma": 1.3, "kappa": 2.7, "dt": 0.001, "predicted_rate": 1.0678390383152307, "observed_rate": 1.0681994591409922, "relative_error": 0.0003375235525478975 }, "curvature_scaling": { "gamma": 0.03, "kappas": [ 0.125, 0.25, 0.5, 1.0, 2.0, 4.0 ], "predicted_rates": [ 0.49019733437512636, 0.6201175855733707, 0.7838254599872421, 0.9900993333992223, 1.25, 1.5774637834642742 ], "observed_rates": [ 0.49028371309932, 0.62025377925786, 0.7840404479592423, 0.990439043387434, 1.2505372444889542, 1.5783140276678833 ], "predicted_loglog_slope": 0.3371955912789214, "observed_loglog_slope": 0.33729915096835433, "relative_rate_errors": [ 0.00017621214587745134, 0.00021962558014432514, 0.00027428041442256436, 0.0003431069759894284, 0.0004297955911633622, 0.0005389944368433645 ] }, "curvature_transition": { "rows": [ { "kappa": 0.0, "predicted_rate": 0.0, "observed_rate": 0.0 }, { "kappa": 1e-05, "predicted_rate": 0.00315729732497097, "observed_rate": 0.003157347010960934 }, { "kappa": 0.001, "predicted_rate": 0.03114159461746758, "observed_rate": 0.031146300256880154 }, { "kappa": 0.01, "predicted_rate": 0.09554013565876501, "observed_rate": 0.09558198370141775 }, { "kappa": 0.1, "predicted_rate": 0.27955688985066773, "observed_rate": 0.27987105400496687 }, { "kappa": 1.0, "predicted_rate": 0.7548776662466927, "observed_rate": 0.7567216675407218 } ], "predicted_monotone": true, "observed_monotone": true }, "integration_heuristic": { "rate": 1.314596212276752, "recommended_dt_bound": 0.15213797068045676, "rows": [ { "dt": 0.01, "dt_times_rate": 0.01314596212276752, "observed_rate": 1.319425214926883, "relative_error": 0.0036733733180073715 }, { "dt": 0.05, "dt_times_rate": 0.0657298106138376, "observed_rate": 1.3389432296794954, "relative_error": 0.0185205290988757 }, { "dt": 0.1, "dt_times_rate": 0.1314596212276752, "observed_rate": 1.3637654344762207, "relative_error": 0.0374025284268181 }, { "dt": 0.15, "dt_times_rate": 0.1971894318415128, "observed_rate": 1.3890037530234316, "relative_error": 0.05660106126261612 }, { "dt": 0.2, "dt_times_rate": 0.2629192424553504, "observed_rate": 1.4145847138769343, "relative_error": 0.07606023862415665 }, { "dt": 0.3, "dt_times_rate": 0.3943788636830256, "observed_rate": 1.4664023835159739, "relative_error": 0.11547741414552562 }, { "dt": 0.5, "dt_times_rate": 0.657298106138376, "observed_rate": 1.5691614244133898, "relative_error": 0.19364517390154024 } ] } }, "double_well_escape": { "third": { "hit_fraction": 1.0, "median_hit": 4.720000000000001 }, "momentum": { "hit_fraction": 1.0, "median_hit": 0.295 }, "overdamped": { "hit_fraction": 0.0, "median_hit": null } } }