{ "seed": 17, "targets": [ -2.0, 1.0, 2.5, -1.0 ], "math_checks": { "conservation_abs_errors": [ 0.0, 0.0, 0.0, 0.0 ], "correction_norms": [ 0.046097722286464436, 0.0921954445729289, 0.1843908891458578, 0.36878177829171555 ], "rho_ratio_observed": [ 1.0, 2.0000000000000004, 4.000000000000001, 8.000000000000002 ], "rho_ratio_predicted": [ 1.0, 2.0, 4.0, 8.0 ], "stale_error_linear_fit_slope": 0.9219544457292886, "stale_error_linear_fit_intercept": 2.7755575615628914e-17, "max_conservation_error": 0.0 }, "rho_sweep": [ { "rho": 0.0, "corrected_final_loss": 3.9205502526670415, "stale_final_loss": 3.9205502526670415, "corrected_final_residual": 1.0206337574912303, "stale_final_residual": 1.0206337574912303, "corrected_loss_40": 3.9205502803976886, "stale_loss_40": 3.9205502803976886 }, { "rho": 0.05, "corrected_final_loss": 6.0424290031749575, "stale_final_loss": 6.041404061543362, "corrected_final_residual": 0.015133895607937117, "stale_final_residual": 0.015536552789812306, "corrected_loss_40": 5.083437650416722, "stale_loss_40": 5.0943326942464635 }, { "rho": 0.1, "corrected_final_loss": 6.093205857662167, "stale_final_loss": 6.093139750756857, "corrected_final_residual": 0.00016398618010693273, "stale_final_residual": 0.000182878900479688, "corrected_loss_40": 5.755701384817989, "stale_loss_40": 5.760598797515422 }, { "rho": 0.2, "corrected_final_loss": 6.093749989122748, "stale_final_loss": 6.093749997447158, "corrected_final_residual": 3.2284687059763312e-09, "stale_final_residual": 7.649478976543017e-10, "corrected_loss_40": 6.103479757304299, "stale_loss_40": 6.09493254808615 }, { "rho": 0.4, "corrected_final_loss": 6.093749973052604, "stale_final_loss": 6.093749968972797, "corrected_final_residual": 8.636614203652117e-09, "stale_final_residual": 9.297245093531612e-09, "corrected_loss_40": 6.071758202959532, "stale_loss_40": 6.07665494478726 } ], "mini_experiment": { "tree_correction": { "final_loss": 6.093749989122748, "final_residual": 3.2284687059763312e-09, "bytes": 7680 }, "fedavg": { "final_loss": 6.09375, "final_residual": 0.0, "bytes": 10240 }, "stale_tree_rho_0.2": { "final_loss": 6.093749997447158, "final_residual": 7.649478976543017e-10, "bytes": 7680 } }, "interpretation": "Checks test algebraic correction conservation and rho scaling; optimization comparison is a small scalar quadratic proxy, not a neural-network benchmark." }