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Paper · arXiv

Trajectory-Retrieval Speculative Decoding: When Does a Model's Own History Help?

Long chain-of-thought reasoning increases sequential decoding cost while creating a growing history of potentially reusable continuations. We investigate when this history supplies useful drafts and complements an existing drafter. Controlled source comparisons reveal trajectory-specific reuse, motivating our method Trajectory-Local Adaptive Retrieval (TLAR). TLAR retrieves approximately matched continuations from the current trajectory and uses recent verification outcomes to adapt retrieval activation and candidate width. TLAR combines retrieved continuations with model-generated drafts in a shared candidate tree, preserving the target model's output distribution through exact verificat...

AuthorsYuyang Dai, Yushun Dong
Primary categorycs.AI
Published5 October 2026
Last updated at source5 October 2026
cs.AI
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