Verified Critical Step Optimization for LLM Agents

Fuente: arXiv
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Main Authors: Li, Mukai, Zeng, Qingcheng, Fang, Tianqing, Liang, Zhenwen, Song, Linfeng, Liu, Qi, Mi, Haitao, Yu, Dong
Format: Preprint
Published: 2026
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author Li, Mukai
Zeng, Qingcheng
Fang, Tianqing
Liang, Zhenwen
Song, Linfeng
Liu, Qi
Mi, Haitao
Yu, Dong
author_facet Li, Mukai
Zeng, Qingcheng
Fang, Tianqing
Liang, Zhenwen
Song, Linfeng
Liu, Qi
Mi, Haitao
Yu, Dong
contents As large language model agents tackle increasingly complex long-horizon tasks, effective post-training becomes critical. Prior work faces fundamental challenges: outcome-only rewards fail to precisely attribute credit to intermediate steps, estimated step-level rewards introduce systematic noise, and Monte Carlo sampling approaches for step reward estimation incur prohibitive computational cost. Inspired by findings that only a small fraction of high-entropy tokens drive effective RL for reasoning, we propose Critical Step Optimization (CSO), which focuses preference learning on verified critical steps, decision points where alternate actions demonstrably flip task outcomes from failure to success. Crucially, our method starts from failed policy trajectories rather than expert demonstrations, directly targeting the policy model's weaknesses. We use a process reward model (PRM) to identify candidate critical steps, leverage expert models to propose high-quality alternatives, then continue execution from these alternatives using the policy model itself until task completion. Only alternatives that the policy successfully executes to correct outcomes are verified and used as DPO training data, ensuring both quality and policy reachability. This yields fine-grained, verifiable supervision at critical decisions while avoiding trajectory-level coarseness and step-level noise. Experiments on GAIA-Text-103 and XBench-DeepSearch show that CSO achieves 37% and 26% relative improvement over the SFT baseline and substantially outperforms other post-training methods, while requiring supervision at only 16% of trajectory steps. This demonstrates the effectiveness of selective verification-based learning for agent post-training.
format Preprint
id arxiv_https___arxiv_org_abs_2602_03412
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Verified Critical Step Optimization for LLM Agents
Li, Mukai
Zeng, Qingcheng
Fang, Tianqing
Liang, Zhenwen
Song, Linfeng
Liu, Qi
Mi, Haitao
Yu, Dong
Computation and Language
As large language model agents tackle increasingly complex long-horizon tasks, effective post-training becomes critical. Prior work faces fundamental challenges: outcome-only rewards fail to precisely attribute credit to intermediate steps, estimated step-level rewards introduce systematic noise, and Monte Carlo sampling approaches for step reward estimation incur prohibitive computational cost. Inspired by findings that only a small fraction of high-entropy tokens drive effective RL for reasoning, we propose Critical Step Optimization (CSO), which focuses preference learning on verified critical steps, decision points where alternate actions demonstrably flip task outcomes from failure to success. Crucially, our method starts from failed policy trajectories rather than expert demonstrations, directly targeting the policy model's weaknesses. We use a process reward model (PRM) to identify candidate critical steps, leverage expert models to propose high-quality alternatives, then continue execution from these alternatives using the policy model itself until task completion. Only alternatives that the policy successfully executes to correct outcomes are verified and used as DPO training data, ensuring both quality and policy reachability. This yields fine-grained, verifiable supervision at critical decisions while avoiding trajectory-level coarseness and step-level noise. Experiments on GAIA-Text-103 and XBench-DeepSearch show that CSO achieves 37% and 26% relative improvement over the SFT baseline and substantially outperforms other post-training methods, while requiring supervision at only 16% of trajectory steps. This demonstrates the effectiveness of selective verification-based learning for agent post-training.
title Verified Critical Step Optimization for LLM Agents
topic Computation and Language
url https://arxiv.org/abs/2602.03412