Equation 8 · Part 3 · Comparing the Main Approaches to Training Data and Synthetic Data
Symbol p
What this part means
the fraction.
Its job in the formula
p occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Full expression→Symbol p→Article meaning
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 .
The passage around this formula
…models raised a 7-billion-parameter LLaMA’s GSM8K accuracy from a 35.9 percent supervised baseline to 49.3 percent [ 7 ] . 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 . 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…
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.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the surrounding passage
- [6] Llama 2: Open Foundation and Fine-Tuned Chat Models ↗
- [7] Scaling Relationship on Learning Mathematical Reasoning with Large Language Models ↗
These citations provide research context; check each source for the exact claim it supports.