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PEFT

PEFT is parameter efficient fine-tuning.
LoRA Consider some matrix:

\begin{equation} W_0 \in \mathbb{R}^{d \times k} \end{equation}

Key intuition: gradient matricies have low intrinsic rank. We consider the following update:

\begin{equation} W_0 + \Delta W = W_0 + \alpha BA \end{equation}

where B \in \mathbb{R}^{d \times r}, A \in \mathbb{R}^{r \times k}, and r \ll \min(d,k).
where \alpha is the trade off between pre-trained knowledge and task specific knowledge.

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