Datasets:
DOI:
License:
| { | |
| "what": "item 3(b): layer 12's measured weight step per 1,000 steps against the step decoupled weight decay alone would take, at a NAMED DEFAULT decay", | |
| "why_not_3a": "OpenCoder publishes eta = 3e-4 constant after a 2,000-step warm-up (arXiv:2411.04905v3 s3.2) and states neither the optimiser's weight decay nor any schedule, so no comparison can be made at OpenCoder's own setting. 3(b) names a default instead of assuming one.", | |
| "definition": { | |
| "eta": 0.0003, | |
| "eta_source": "OpenCoder, arXiv:2411.04905v3 s3.2 -- 3e-4, constant after a 2,000-step warm-up", | |
| "lambda": 0.1, | |
| "lambda_source": "Megatron-LM's DEFAULT weight decay. NOT a published OpenCoder setting and not presented as one.", | |
| "decay_step": "under AdamW the decay is decoupled, so with no gradient W -> (1 - eta*lambda)^N W over N steps and ||dW||/||W|| = 1 - (1 - eta*lambda)^N exactly -- the same quantity B16C stores as relative_step, which is what makes the ratio meaningful", | |
| "measured": "B16C_WEIGHT_STEPS.json, layer 12, window 1000 (~1,000 steps of gap), relative_step on each construct's rows", | |
| "ratio": "measured relative_step / decay shrink, taken PER ROW with that row's own gap and then pooled by median over constructs and start points" | |
| }, | |
| "fixed_before_computing": true, | |
| "layer": 12, | |
| "window": "1000", | |
| "decay_shrink_per_1000_steps": 0.02955490316059306, | |
| "per_matrix": { | |
| "gate_proj": { | |
| "carriers": { | |
| "n_rows": 3211, | |
| "n_start_points": 19, | |
| "median_relative_step": 0.24653545589847872, | |
| "median_decay_shrink": 0.02955490316059306, | |
| "median_ratio": 8.341609328200947, | |
| "ratio_iqr": [ | |
| 7.680082322219295, | |
| 9.119040697315409 | |
| ], | |
| "relative_step_at_first_start": 0.26728141506552633, | |
| "relative_step_at_last_start": 0.217385583900947, | |
| "ratio_at_first_start": 9.043555771886446, | |
| "ratio_at_last_start": 7.355313692612514, | |
| "first_start_iter": 1000, | |
| "last_start_iter": 19000 | |
| }, | |
| "random": { | |
| "n_rows": 3211, | |
| "n_start_points": 19, | |
| "median_relative_step": 0.2475323047440543, | |
| "median_decay_shrink": 0.02955490316059306, | |
| "median_ratio": 8.375338041171482, | |
| "ratio_iqr": [ | |
| 7.711843934817122, | |
| 9.144811597311957 | |
| ], | |
| "relative_step_at_first_start": 0.2664884701100206, | |
| "relative_step_at_last_start": 0.21775522372292128, | |
| "ratio_at_first_start": 9.016726215003883, | |
| "ratio_at_last_start": 7.367820579201374, | |
| "first_start_iter": 1000, | |
| "last_start_iter": 19000 | |
| } | |
| }, | |
| "up_proj": { | |
| "carriers": { | |
| "n_rows": 3211, | |
| "n_start_points": 19, | |
| "median_relative_step": 0.2262124531316158, | |
| "median_decay_shrink": 0.02955490316059306, | |
| "median_ratio": 7.653973755300119, | |
| "ratio_iqr": [ | |
| 6.979967229727786, | |
| 8.428032765270096 | |
| ], | |
| "relative_step_at_first_start": 0.2391428266948024, | |
| "relative_step_at_last_start": 0.19686955938821657, | |
| "ratio_at_first_start": 8.091477254903097, | |
| "ratio_at_last_start": 6.661147164600154, | |
| "first_start_iter": 1000, | |
| "last_start_iter": 19000 | |
| }, | |
| "random": { | |
| "n_rows": 3211, | |
| "n_start_points": 19, | |
| "median_relative_step": 0.22633307766555014, | |
| "median_decay_shrink": 0.02955490316059306, | |
| "median_ratio": 7.658055126613666, | |
| "ratio_iqr": [ | |
| 6.987296942974811, | |
| 8.433419804742915 | |
| ], | |
| "relative_step_at_first_start": 0.24092294067407613, | |
| "relative_step_at_last_start": 0.19698965828966508, | |
| "ratio_at_first_start": 8.151708004758751, | |
| "ratio_at_last_start": 6.665210750963334, | |
| "first_start_iter": 1000, | |
| "last_start_iter": 19000 | |
| } | |
| }, | |
| "down_proj": { | |
| "carriers": { | |
| "n_rows": 3211, | |
| "n_start_points": 19, | |
| "median_relative_step": 0.22194329676229782, | |
| "median_decay_shrink": 0.02955490316059306, | |
| "median_ratio": 7.509525426502674, | |
| "ratio_iqr": [ | |
| 6.83867605138081, | |
| 8.773473151831679 | |
| ], | |
| "relative_step_at_first_start": 0.26121256021204836, | |
| "relative_step_at_last_start": 0.19289148543378487, | |
| "ratio_at_first_start": 8.838214044982402, | |
| "ratio_at_last_start": 6.526547706337138, | |
| "first_start_iter": 1000, | |
| "last_start_iter": 19000 | |
| }, | |
| "random": { | |
| "n_rows": 3211, | |
| "n_start_points": 19, | |
| "median_relative_step": 0.2217999272472068, | |
| "median_decay_shrink": 0.02955490316059306, | |
| "median_ratio": 7.504674471170085, | |
| "ratio_iqr": [ | |
| 6.825834172216856, | |
| 8.775769976230254 | |
| ], | |
| "relative_step_at_first_start": 0.26124332931101085, | |
| "relative_step_at_last_start": 0.19263285341382963, | |
| "ratio_at_first_start": 8.839255127702089, | |
| "ratio_at_last_start": 6.517796805731918, | |
| "first_start_iter": 1000, | |
| "last_start_iter": 19000 | |
| } | |
| } | |
| }, | |
| "carrier_ratio_range": [ | |
| 7.509525426502674, | |
| 8.341609328200947 | |
| ], | |
| "summary": "at lambda = 0.1 and eta = 0.0003, decoupled decay alone would move a weight by 2.96% per 1,000 steps, while layer 12's carrier rows move by 22.2% to 24.7% over the same gap -- 7.5 to 8.3 times as much. The decay term is too small to be what the measured step is made of, at this default; accounting for even the smallest of them would need lambda = 0.75, 7.5x Megatron's default. The carrier rows and the random rows move alike, so this says nothing about the carriers in particular -- it bounds the decay term for the layer as a whole.", | |
| "lambda_that_would_account_for_the_smallest": 0.7509525426502675, | |
| "minutes": 0.001174465815226237, | |
| "provenance": { | |
| "inputs": [ | |
| "validation/paper2/B16C_WEIGHT_STEPS.json" | |
| ], | |
| "reference": null, | |
| "battery_prompt_hash": "570b42db13f8fe5772b8d1a9ad7d55d6fa1279dae5948ad94e8363789bcbc1ad", | |
| "code_commit": "f7c2832", | |
| "design": "9-Paper-1/2610-18Oct_PAPER-1-Design.md sha256 47f6a664\u2026" | |
| } | |
| } |