ResearchResearch paperLarge Language Models1 source · Oct 20, 2026

Benefit and Cost of Random-Token Replacement under Repeated Data: A Known-Entropy Decomposition and Evidence from Ten Real Corpora

On a controlled source whose entropy rate is known in closed form, we show that replacement shrinks predictions toward the corpus average.

Key points

  • When unique pretraining data is scarce, models see the same tokens many times and are thought to memorize.
  • Random-token replacement, an input-corruption augmentation, is one remedy reported to lower validation loss, but a lower loss alone does not reveal which source of error it reduces.
  • We also introduce a decomposition that separates validation loss into approximation, estimation, and memorization terms.
  • It harms only the census corpus, program-generated JSON that is the most redundant of the ten and much more redundant than any of 64 further prose and code corpora we measure.

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