{ "seed": 2890, "math_prediction_1_delayed_contraction": { "mu": 0.08, "q": 0.72, "r": 0.35, "rows": [ { "epsilon": 0.0, "predicted_boundary_delay": 2.053150418575225, "observed_sampled_boundary_delay": 2.055, "boundary_error": 0.0009008504238371834 }, { "epsilon": 0.2, "predicted_boundary_delay": 1.4732645845066872, "observed_sampled_boundary_delay": 1.475, "boundary_error": 0.0011779387840874494 }, { "epsilon": 0.5, "predicted_boundary_delay": 0.6933222544205101, "observed_sampled_boundary_delay": 0.6950000000000001, "boundary_error": 0.0024198640225276645 }, { "epsilon": 0.75, "predicted_boundary_delay": 0.11034334524200465, "observed_sampled_boundary_delay": 0.115, "boundary_error": 0.04220150066850337 } ] }, "math_prediction_2_inter_event_bound": { "B": 0.37, "V": 2.25, "rows": [ { "sigma": 0.05, "predicted_gap": 0.20270270270270274, "observed_gap": 0.20270270270270274, "ratio": 1.0 }, { "sigma": 0.1, "predicted_gap": 0.4054054054054055, "observed_gap": 0.4054054054054055, "ratio": 1.0 }, { "sigma": 0.2, "predicted_gap": 0.810810810810811, "observed_gap": 0.810810810810811, "ratio": 1.0 }, { "sigma": 0.4, "predicted_gap": 1.621621621621622, "observed_gap": 1.621621621621622, "ratio": 1.0 }, { "sigma": 0.8, "predicted_gap": 3.243243243243244, "observed_gap": 3.243243243243244, "ratio": 1.0 } ] }, "optimizer_mini_experiment": { "steps": 250, "dimension": 20, "eta": 0.11, "baseline_sgd": { "final_loss": 2.9094525437990955e-13, "events": 250 }, "fixed_delay_sgd": { "final_loss": 2.6997896397143484e-30, "events": 250 }, "event_triggered": { "final_loss": 4.607886018150156e-18, "events": 83, "communication_reduction": 0.6679999999999999, "minimum_event_gap": 3 } }, "optimizer_sweep": [ { "delay": 0, "epsilon": 0.05, "final_loss": 1.3968846790821424e-10, "events": 60, "min_gap": 3 }, { "delay": 0, "epsilon": 0.18, "final_loss": 1.3968846790821424e-10, "events": 45, "min_gap": 4 }, { "delay": 0, "epsilon": 0.5, "final_loss": 1.3968846790821424e-10, "events": 26, "min_gap": 6 }, { "delay": 1, "epsilon": 0.05, "final_loss": 5.993447432465246e-15, "events": 94, "min_gap": 1 }, { "delay": 1, "epsilon": 0.18, "final_loss": 2.368051910135075e-13, "events": 59, "min_gap": 3 }, { "delay": 1, "epsilon": 0.5, "final_loss": 4.890267167774406e-12, "events": 31, "min_gap": 5 }, { "delay": 3, "epsilon": 0.05, "final_loss": 1.1638295164665222e-13, "events": 60, "min_gap": 3 }, { "delay": 3, "epsilon": 0.18, "final_loss": 1.3124428582963068e-13, "events": 59, "min_gap": 3 }, { "delay": 3, "epsilon": 0.5, "final_loss": 2.0819689418186838e-12, "events": 36, "min_gap": 4 }, { "delay": 6, "epsilon": 0.05, "final_loss": 2.0404979261870777e-14, "events": 60, "min_gap": 3 }, { "delay": 6, "epsilon": 0.18, "final_loss": 2.3766129082905572e-14, "events": 59, "min_gap": 2 }, { "delay": 6, "epsilon": 0.5, "final_loss": 2.348431218276802e-12, "events": 30, "min_gap": 6 } ] }