Deep search agents solve knowledge-intensive tasks through long-horizon, multi-turn interactions, where assigning credit to individual search decisions is fundamentally difficult. Outcome-based reinforcement learning provides only a single terminal reward shared across an entire trajectory. Recent process-supervision methods aim to assign credit at finer granularity, but they typically anchor credit to either surface-level trajectory states or model-internal signals, both of which become unreliable in deep search where observations are heterogeneous and retrieved contexts are long and noisy. We propose KnowGPO, a reinforcement learning framework that aligns trajectories by the task-relevant knowledge they have acquired rather than by their surface observations. For each query, KnowGPO decomposes the information required to derive the answer into atomic knowledge conditions, and represents the state of a trajectory at each step by the subset of conditions it has satisfied. Trajectories sharing the same knowledge state are grouped for within-group comparison, and the incremental knowledge gain between consecutive steps serves as an environment-grounded process reward. Experiments on Xbench, BrowseComp-ZH, and GAIA show KnowGPO consistently outperforms outcome-only (GRPO) and process-supervision baselines (GiGPO, IGPO) by 3.8 to 4.2 points, with our 8B model rivaling or exceeding most 32B open-source systems.
Figures & tables
Figure 1: Comparison of credit assignment in deep search agents. Left: GRPO uses episode-level advantages from terminal rewards ( R1 , R2 , R3 ) without intermediate feedback. Middle: GiGPO matches environment states ( s~ ) but suffers from severe fragmentation under heterogeneous observations. Right: KnowGPO abstracts heterogeneous states into knowledge states ( si,t ) and computes step-level advantages from incremental knowledge gains ( ri,t ).
Figure 2: Overview of the KnowGPO framework. Left: Knowledge condition construction via a two-stage pipeline, illustrated with an example. Right: Rollout trajectories are grouped by matched knowledge states; step-level advantages are computed from incremental knowledge gains via group-relative comparisons.
Model
BrowseComp-ZH
GAIA
Advanced Agents with Proprietary Data
MiniMax-M2.1
47.8
64.3
DeepSeek-V3.1
49.2
63.1
DeepSeek-R1
26.3
16.5
GLM-4.5
37.5
66.0
Kimi-K2.5
62.3
–
Table 1: Performance comparison on BrowseComp-ZH and GAIA. Among RL-based methods, best results are in bold , and second-best are underlined .
Model
Xbench-2505
Xbench-2510
Advanced Agents with Proprietary Data
MiniMax-M2.1
68.7
43.0
DeepSeek-V3.2
78.0
55.7
GLM-4.7
72.0
52.3
Kimi-K2.5
–
46.0
Claude-4-Sonnet
64.6
–
Table 2: Performance comparison on Xbench-2505 and Xbench-2510. Among RL-based methods, best results are in bold , and second-best are underlined .
Figure 3: Training curves comparing GRPO, GiGPO, IGPO, and KnowGPO on our Qwen3-8B-SFT.
Model
Xben05
Xben10
BC-ZH
GAIA
Qwen3-8b-SFT
39.0
29.0
30.1
31.1
+KnowGPO ( ω=0 )
45.0
28.0
34.0
34.0
+KnowGPO ( ω=0.3 )
48.0
36.0
38.8
40.2
+KnowGPO ( ω=0.5 )
47.0
35.0
36.3
37.9
Table 3: Performance of KnowGPO with different ω .
Method
Xben05
Xben10
BC-ZH
GAIA
GRPO (Base)
46.0
34.0
32.9
35.0
+ Δ KG
47.0
34.0
34.6
37.8
KnowGPO (w/ Gt )
45.0
35.0
32.8
36.8
KnowGPO
48.0
36.0
38.8
40.2
Table 4: Ablation study on reward design and grouping mechanisms. (1) GRPO with outcome rewards, (2) GRPO with incremental knowledge gain, (3) KnowGPO with discounted future returns, and (4) KnowGPO.
Metric
Obs
Act
Know
ESR ↑ (%)
51.8
79.4
97.8
SR ↓ (%)
79.4
72.0
19.0
MeanNG
4.85
24.62
21.28
Cross ↑
3.83
4.85
4.66
ngroups
32,267
14,902
4,872
Table 5: Comparison of grouping quality across three state anchors.
Method
Both Fail
Both Pass
GRPO-only
Know-only
GRPO
11.39
7.03
9.51
11.55
KnowGPO
10.85
6.33
10.36
9.83
Table 6: Average search turns across outcome subsets. Both Fail: queries where both methods fail; Both Pass: both succeed; GRPO-only: only GRPO succeeds; KnowGPO-only: only KnowGPO succeeds.
Figure 4: Per-iteration training time breakdown. Blue bars represent shared RL operations common to both GRPO and KnowGPO; red bars represent KnowGPO-specific components.
Appendix figures & tables1 asset
Supplementary material from the paper’s appendix.
Appendix
Model
Regr. ↓
Parse
Agree.
DeepSeek-v3.2
0.052
0.987
0.947
Gemini-2.5-Flash-Lite
0.057
0.971
0.746
DeepSeek-v3.1-Terminus
0.057
0.924
0.835
DeepSeek-v3.1
0.052
0.921
0.911
GPT-4o-mini
0.065
0.896
0.614
Appendix
Table 7: Verifier comparison on 200 held-out pairs. Best in bold . Regression measures monotonicity violations; Parse measures valid JSON output rate; Agreement measures consistency with manual annotations.
LLM-based search agents demonstrate strong capabilities in long-horizon information seeking and reasoning, typically trained via reinforcement learning. However, existing approaches predominantly rely on trajectory-level outcome rewards, providing limited supervision for complex search and reasoning processes. Although step-level credit assignment offers a promising solution, obtaining reliable and task-grounded supervision for open-ended search remains challenging. In this paper, we propose Evidence-Guided Group Relative Policy Optimization (EG-GRPO), a framework that derives step-level supervision from the evidence annotations available in synthetic deep search data. EG-GRPO identifies the first supporting citation for each required evidence claim and uses the newly acquired evidence to construct step-level process rewards. By representing the accumulated evidence as an evolving knowledge state, EG-GRPO further performs state-conditioned relative advantage estimation and combines the resulting step-level signal with the standard trajectory-level outcome advantage. Experiments on five challenging deep search benchmarks show that EG-GRPO generally outperforms standard GRPO and existing reward-enhanced and step-level RL baselines across different model scales. These results demonstrate that task-grounded evidence annotations can provide effective process supervision for credit assignment in deep search RL.
Sijia Luo, Mengjie Gao, Yuxiao He +4
Renmin University of China, Beijing 100872, China · Key Laboratory of Data Engineering and Knowledge Engineering, MOE, China · Ant Group, Beijing, China +2
Deep search agents operate over trajectories spanning dozens of steps, yet standard reinforcement learning provides only a single outcome reward per trajectory, which is far too sparse for effective credit assignment. On-policy self-distillation (OPSD) addresses this by using the model's own logits as dense token-level teachers, but extending it to search agents introduces a fundamental tension: the teacher, having access to privileged information such as the correct answer, produces a distribution that differs systematically from the student's exploration-based reasoning, and naive distillation causes the student to inherit this information asymmetry rather than learn better search strategies. We resolve this tension through two contributions. First, we construct Evidence Anchors, which are concise, step-level evidence snippets extracted from the web, as privileged information that captures key reasoning steps without revealing the entire answer path. Second, we propose Step-Level Self-Distilled Policy Optimization (SSPO), which converts teacher-student disagreement into step-level advantage weights within GRPO, applied exclusively to incorrect trajectories. This design decouples what to update from how much to update: the outcome reward determines the direction of policy change, while the teacher modulates its magnitude at each step. Correct trajectories are left untouched, preserving their diversity. On Qwen3-8B, SSPO consistently outperforms GRPO across BrowseComp, GAIA, and FRAMES, surpassing or matching GRPO trained with twice as many gradient steps while adding only about 5 percent overhead per step from a single additional forward pass.
Haoze Wu, Chuqiao Kuang, Tianyi Zhuang +1
The Hong Kong University of Science and Technology · Huawei Technologies Ltd.
Deep search agents tackle complex knowledge tasks through iterative retrieval, multi-hop reasoning, and evidence synthesis across multiple sources. Existing approaches typically assume relatively stable retrieval systems and operate over short-horizon tool interaction. However, when retrieval is sensitive to query formulation, even a semantically appropriate query may fail to surface critical evidence because of mismatched entity names, aliases, or keyword combinations. Recovering from such failures requires repeated query reformulation and longer interaction trajectories. This setting poses a distinct training challenge, as the policy must sustain long-horizon query exploration while managing an expanding volume of retrieved content. We propose LexiHorizon, a framework for training search agents over long horizons that expands the trajectory context budget, manages accumulated retrieval content using a window over recent tool observations while preserving the reasoning history, and introduces an outcome-gated search-effort reward that provides a bounded bonus for tool invocations to trajectories with nonzero answer reward. Experiments on XBench, WebWalkerQA, and BrowseComp-ZH show that the resulting 9B model consistently outperforms both its base model and MiroThinker-1.7-mini, with maximum absolute gains of 8.7 and 23.8 percentage points, respectively. These results suggest that combining an extended context budget with reasoning-preserving context management benefits long-horizon deep search agents.