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Learned, Then Lost: A Measured Single-Example Counterfactual in Pre-training

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TL;DR - A controlled GPT-2 pre-training study directly measures the effect of replacing one batch row with a single 194-token passage. The passage is briefly learned and later forgotten, while its injection leaves a substantial weight displacement that remains within the same loss basin.

  • Across eight seeds, injected models predicted the passage 0.039–0.044 nats better after 50 steps, but no significant advantage was detected at training’s end.
  • The study trained 32 GPT-2 124M models on OpenWebText, comparing real-subject prose, gradient-matched fabricated-subject prose, random characters, and uninjected twins.
  • Final models showed no detectable condition differences in interpolation loss barriers, held-out cross-entropy, or per-layer centered kernel alignment.
  • Weight displacement reached 44.1% of seed-to-seed Euclidean distance, yet the loss barrier was only 3.0% of its seed-to-seed counterpart, suggesting relocation within—not escape from—the existing basin.

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Learned, Then Lost: A Measured Single-Example Counterfactual in Pre-training

arXiv cs.LG Zachary Speck, Asa Shepard 2026-08-19 arXiv:2608.19168
Public signals Semantic Scholar citations 0 · Semantic Scholar influential citations 0
Providers: Hugging Face · N/A OpenAlex · N/A Publisher · N/A Semantic Scholar · Citations 0 · Influential citations 0 X · N/A Fetched 2026-09-09 08:13:02.565544 UTC

TL;DR - A controlled GPT-2 pre-training study directly measures the effect of replacing one batch row with a single 194-token passage. The passage is briefly learned and later forgotten, while its injection leaves a substantial weight displacement that remains within the same loss basin.

  • Across eight seeds, injected models predicted the passage 0.039–0.044 nats better after 50 steps, but no significant advantage was detected at training’s end.
  • The study trained 32 GPT-2 124M models on OpenWebText, comparing real-subject prose, gradient-matched fabricated-subject prose, random characters, and uninjected twins.
  • Final models showed no detectable condition differences in interpolation loss barriers, held-out cross-entropy, or per-layer centered kernel alignment.
  • Weight displacement reached 44.1% of seed-to-seed Euclidean distance, yet the loss barrier was only 3.0% of its seed-to-seed counterpart, suggesting relocation within—not escape from—the existing basin.
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