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Equation 7 · Part 1 · Actually Deploying an Open-Weight Model in Production

Symbol r

r(d+k)r(d + k)
rr

What this part means

r 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 is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Only B and A are trained; W0W_0 never moves during fine-tuning [ 5 ] . The effect on trainable parameter count for that one matrix is to fall from dk to r(d + k) , which is small whenever the chosen rank r is small relative to d and k — and because BA can be merged back into W0W_0 after training, LoRA adds no extra inference latency once deployed. Hu and colleagues report, for their comparison against full fine-tuning of GPT-3 175B, up to a…

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A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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