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About this paper

Heming Zou, Qi Wang, Yixiu Mao, Yun Qu, Yuyi Guo, Zeyuan Liu, Chenglin Li, Weijie Liu and 2 more

TreeOPSD trains long-horizon agents by branching continuations from shared histories, backing up verifier rewards into turn-level credits, and converting credits into bounded targets for policy updates. On Deep Research, it reaches a 21.20 exact-match average, versus 17.59 for TreePO, which uses the trees and credits but fixed-credit updates. This comparison covers the reported setup, not general convergence guarantees.

Key insights

  • Tree-based branching supplies intermediate credit from terminal outcomes, while shared prefixes are scored once rather than counted repeatedly for every descendant trajectory.
  • The distillation update matches the tree policy-gradient direction at the behavior policy but has a finite destination as the student changes across optimizer blocks.
  • Pointwise credits and the affine target mapping performed better than the tested listwise-credit and logistic-mapping alternatives; the findings remain tied to the sampled trees and verifier rewards.

Summary by alphaXiv.

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