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Stage-Replay Divergence Follows the KV Cache: Fixed-Prefix Precision Controls and Bidirectional Cache Transplantation

Research Efficiency & Systems

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TL;DR - Identical token prefixes can yield different continuations depending on whether inference reuses a live KV cache or rebuilds it via BF16 prefill. The divergence disappears with FP32, while cache-transplant experiments show that boundary KV state causally determines the divergent trajectory.

  • BF16 live-cache versus fresh-prefill runs differed on 166 of 200 suffixes and 20 correctness labels, despite only a one-point accuracy gap.
  • FP32 replay produced no decoded disagreements across 200 examples.
  • Transplanting all 48 KV layers made continuations follow the donor cache in 24/24 selected cases and 43/43 later replications.
  • Exact-token replay can be reproducible without faithfully reconstructing the original decoder state.

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Stage-Replay Divergence Follows the KV Cache: Fixed-Prefix Precision Controls and Bidirectional Cache Transplantation

arXiv cs.LG Alexander Boesgaard Lorup 2026-07-30 arXiv:2607.28495
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 2026-08-06 15:06:52.939935 UTC

TL;DR - Identical token prefixes can yield different continuations depending on whether inference reuses a live KV cache or rebuilds it via BF16 prefill. The divergence disappears with FP32, while cache-transplant experiments show that boundary KV state causally determines the divergent trajectory.

  • BF16 live-cache versus fresh-prefill runs differed on 166 of 200 suffixes and 20 correctness labels, despite only a one-point accuracy gap.
  • FP32 replay produced no decoded disagreements across 200 examples.
  • Transplanting all 48 KV layers made continuations follow the donor cache in 24/24 selected cases and 43/43 later replications.
  • Exact-token replay can be reproducible without faithfully reconstructing the original decoder state.
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