Equation 8 · Part 6 · Comparing the Main Approaches to Training Data and Synthetic Data
subscript
subscript
What this part means
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
Its job in the formula
A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.
Full expression→subscript→Article meaning
The passage around this formula
Rejection sampling generates multiple candidate completions per prompt from a model and keeps only the ones a separate scoring step accepts, using the survivors as supervised fine-tuning data. Llama 2’s RLHF pipeline used exactly this for its first four rounds, generating candidates from the 70-billion-parameter model, scoring them against a trained reward model, and only introducing proximal policy optimisation as a second mechanism in later rounds once the returns from sampling alone began to taper [ 6 ] . A second, independent demonstration in mathematical reasoning makes the mechanism even more explicit: rejection sampling fine-tuning collects correct reasoning paths directly from a…
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
Open the illustrated subscripts: which member of a family? guide →
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.