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Prefix Sliding: A Cheaper Alternative to Full Attention for Long Reasoning

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Stanford AI Lab@StanfordAILab

Long reasoning traces are expensive because full attention grows with context length. @Muennighoff et al find that maybe LLMs can stand to forget a little… with Prefix Sliding! https://t.co/SFpPUjbycB

Context

Long reasoning traces are expensive because full grows with : each new token is compared against everything before it. Stanford AI Lab points to a paper on Prefix Sliding, a method built on the idea that a model can stand to forget a little.

According to the paper, Prefix Sliding keeps a fixed prefix plus a sliding window of recent tokens in memory instead of the whole trace. Applied to an existing model with no additional training, it reports close to a 3x speedup with performance held roughly steady. It also reports that training a model with Prefix Sliding using reinforcement learning lets reasoning scale past a hundred thousand tokens.

These are the paper's reported results for two settings, training-free and RL training, not a claim that the method suits every reasoning workload.

Terms in this piece · Glossary
  • attention — The mechanism that lets a model weigh which earlier words matter for the word it's currently processing — the core operation of a transformer.
  • context window — The maximum amount of text a model can consider at once — its working memory for the current conversation or task.
  • inference — Running a trained model to get answers — the phase where AI is actually used, as opposed to trained.
  • context compaction — Summarizing an agent's earlier conversation to free room in the context window so a long session can keep going.
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