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What Does the Rank Buy? A Spectral and Distributional Analysis of Low-Rank Adaptation

arXiv:2609.32002v1 Announce Type: new Abstract: The rank $r$ in LoRA is widely treated as a capacity control: a smaller rank is assumed to yield a simpler model that generalizes better. We show that, under hard per-factor norm budgets---the idealization of the weight decay and norm control used in…

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  1. 2026-09-29 04:00 · arXiv cs.AI
    What Does the Rank Buy? A Spectral and Distributional Analysis of Low-Rank Adaptation

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