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},
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"remainder_ratio_when_step_halved": [
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"limits": "Tiny randomly initialized complete ReproductionGPT with causal attention, GELU MLP, residual paths, LayerNorm and tied input/output embedding. Kernel identities hold at the shared common-function point. Finite-difference steps use a fixed scalar squared loss and disposable CPU copies. No claim about AdamW dynamics, knowledge quality, generalization, sample efficiency, grokking, scientific training completion or an active GPU run is tested."
}