{ "what": "whether 'linear in the learning rate' and 'linear in log-steps' are separable on the planned 1,000-step Pythia grid, from the schedule alone", "schedule": { "total_steps": 143000, "lr_max": 0.001, "lr_min_fraction": 0.1, "warmup_steps": 1430, "shape": "linear warmup then cosine decay" }, "grid": { "n_points": 143, "first": 1000, "last": 143000, "spacing": 1000 }, "pearson_r_lr_vs_log_steps": -0.8356681943232172, "variance_inflation_factor": 3.3150050132037077, "residual_sd_of_lr_after_log_steps": 0.5492346210833527, "separable": true, "reading": "the two predictors are separable enough on this grid for a fit to attribute an effect", "minutes": 9.381771087646485e-06, "provenance": { "inputs": [ "Pythia's published schedule; no model, no run" ], "reference": null, "battery_prompt_hash": "570b42db13f8fe5772b8d1a9ad7d55d6fa1279dae5948ad94e8363789bcbc1ad", "code_commit": "1d8310f", "design": "9-Paper-1/2610-18Oct_PAPER-1-Design.md sha256 47f6a664\u2026" } }