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Equation 1 · Part 5 · Actually Deploying an Open-Weight Model in Production

superscript

W0∈Rd×kW_0 \in \mathbb{R}^{d \times k}
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

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 W0W_0 ∈\in Rd×k\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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