Equation 12 · Part 1 · Training on Your Own Output: Synthetic Data and What It Does to a Distribution
Symbol k
What this part means
the not.
Its job in the formula
k 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 k→Article meaning
Where the article explains it
The chain has length one , not k .
The passage around this formula
Three structural features explain why. The teacher is fixed : nothing the student produces flows back into it, so there is no feedback loop to compound. The chain has length one , not k . And the objective is transfer of a known-good distribution, not improvement beyond it, so the success criterion is agreement rather than novelty. The relevant failure mode is entirely different from collapse: a student inherits the teacher’s errors and cannot exceed the teacher’s ceiling on the distilled behaviour.
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
- [13] Distilling the Knowledge in a Neural Network ↗
- [14] DeepSeek-R1 incentivizes reasoning in LLMs through reinforcement learning ↗
These citations provide research context; check each source for the exact claim it supports.