Beyond Trajectory Rewards: Step-level Credit Assignment for Agentic Search via Graph Modeling

Yuchen Liu, Feng Yingjie, Lixiong Qin, Jiasi Chen, Jianing Yu, Sheng Gao, Sheng Yang, Weiran Xu


Abstract
In Agentic Search, trajectory-level outcome rewards fail to quantify the behavioral contributions of individual steps, while existing step-level reward methods typically rely on costly tree sampling. We view world knowledge as a latent world graph and each IS task as search within a latent task graph, where effective steps should make graph progress toward the answer node. Based on this prior, we propose Graph-Distance Contribution Reward (GDCR), a step-level process reward that scores newly-retrieved and newly-cited entities by their distance to the answer node in a training-time Entity-Relation (ER) graph. We further propose Step Advantage Policy Optimization (SAPO), which converts GDCR into step-level advantages and combines them with trajectory-level outcome advantages. Experiments on four challenging benchmarks validate the effectiveness of our method.
Anthology ID:
2026.findings-emnlp.1140
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
24150–24165
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.1140/
DOI:
Bibkey:
Cite (ACL):
Yuchen Liu, Feng Yingjie, Lixiong Qin, Jiasi Chen, Jianing Yu, Sheng Gao, Sheng Yang, and Weiran Xu. 2026. Beyond Trajectory Rewards: Step-level Credit Assignment for Agentic Search via Graph Modeling. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 24150–24165, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Beyond Trajectory Rewards: Step-level Credit Assignment for Agentic Search via Graph Modeling (Liu et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.1140.pdf