Why it matters

LoRA theory shapes rank choice. Understanding shapes design.

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The architecture

Full FT update DeltaW ~ low intrinsic rank.

Rank r constrains update.

Alpha scales.

LoRA mathUpdate rank rlearnableBA productd x d, rank rAlpha scalingcontrols magnitudeHu et al. 2021; intrinsic dimensionality hypothesis motivates
LoRA theory.
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How it works end to end

Hu et al. 2021 paper.

Intrinsic dimensionality hypothesis.

Merge into base: no inference overhead.

Rank sweep for quality.