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Part 3
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Training at Scale: Bridge to Fine-Tuning Math to References

Bridge to Fine-Tuning Math

Fine-tuning keeps many of the same scale constraints, but usually changes the parameter-update surface. The next section studies full fine-tuning, adapters, LoRA-style low-rank updates, prompt tuning, and preference-oriented objectives. The training-at-scale accounting here remains useful because every fine-tuning method still has memory, optimizer, throughput, and evaluation budgets.

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