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About this paper

Junhong Lin, Xinyue Zeng, Jie Zhu, Song Wang, Julian Shun, Jun Wu, Dawei Zhou

A framework called PLAN-AND-BUDGET enhances the efficiency and effectiveness of Large Language Model (LLM) reasoning by adaptively allocating computational resources at test time. This approach, built upon a theoretical Budget Allocation Model (BAM), improves an efficiency-aware effectiveness score (E³) by up to 193.8% while reducing token usage by up to 39% across various reasoning tasks.

Key insights

  • LLM reasoning miscalibration can be effectively reinterpreted as a resource allocation problem under uncertainty, allowing for principled adaptive computation.
  • Decomposing complex queries into structured sub-questions and adaptively allocating computational budget to these sub-questions based on their estimated complexity and uncertainty significantly improves reasoning efficiency.
  • Front-loaded decay strategies for budget allocation, such as polynomial decay and cosine annealing, are particularly effective for complex reasoning tasks by prioritizing resources for earlier, potentially more uncertain reasoning steps.

Summary by alphaXiv.

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