ResearchResearch paperLarge Language Models · Reasoning & Planning · Efficiency & Inference2 sources · Oct 9, 2026

PreSTO: Predictive Subtree Prefetching for Fast LLM Power Sampling

Power sampling improves large language model (LLM) reasoning at test time by sampling from a sharpened version of the base model's distribution.

Key points

  • Its sampler, PowerMH, is slow because its Metropolis--Hastings (MH) updates are sequential: each accept/reject decision sets the state from which the next proposal is generated.
  • We propose Predictive SubTree Prefetching (PreSTO), which accelerates PowerMH by prefetching future proposals and provably leaves its MH transition kernel unchanged.
  • Across seven datasets and five base LLMs, PreSTO achieves median speedups of $1.71\times$, $1.91\times$, and $2.33\times$ on PowerMH and its follow-ups EntropyCut and MultiTryMH, respectively; on the first two, it makes a median of $3.9\times$ fewer model calls, each only $2.1\times$ longer.
  • On LCB V6 with Qwen3.5-9B, the predictive traversal rule is a further $1.25\times$--$1.37\times$ faster than the default breadth-first traversal.

Sources (2)

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