Equation 9 · Part 1 · Comparing the Main Approaches to Training Data and Synthetic Data
Symbol p
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.
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 = 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.
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
- [6] Llama 2: Open Foundation and Fine-Tuned Chat Models ↗
- [7] Scaling Relationship on Learning Mathematical Reasoning with Large Language Models ↗
- [9] Constitutional AI: Harmlessness from AI Feedback ↗
- [3] Self-Rewarding Language Models ↗
- [13] Textbooks Are All You Need ↗
These citations provide research context; check each source for the exact claim it supports.