Equation 1 · Part 2 · Actually Deploying an Open-Weight Model in Production

Symbol R^d × k

W_0 \in \mathbb{R}^{d \times k}

\mathbb{R}^{d \times k}

What this part means

$R^d$ × k is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

$R^d$ × k is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol R^d × kArticle meaning

The passage around this formula

Low-Rank Adaptation, LoRA, takes a different approach: it freezes the pretrained weight matrix entirely and represents the update as the product of two much smaller matrices. For a frozen weight matrix $W_0$ $\in$ $\mathbb{R}^{d \times k}$ , LoRA represents the adapted weight as

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the article section

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