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Equation 9 · Part 1 · Comparing the Main Approaches to Training Data and Synthetic Data

Symbol p

pp
pp

What this part means

the fraction.

Its job in the formula

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

Where the article explains it

The method’s economics follow directly from its mechanism: if a checker accepts a fraction p of generated candidates, the expected cost of producing one accepted sample scales as cacceptedc_{\mathrm{accepted}} = cgenp\frac{c_{\mathrm{gen}}}{p} so as a task gets harder and p falls, rejection sampling gets steadily more expensive for the same yield — precisely the pattern that shows up in Llama 2’s own pipeline as a second mechanism being layered on once sampling alone stopped paying for itself.

The passage around this formula

so as a task gets harder and p falls, rejection sampling gets steadily more expensive for the same yield — precisely the pattern that shows up in Llama 2’s own pipeline as a second mechanism being layered on once sampling alone stopped paying for itself.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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