Real-world user requests to LLM agents are often underspecified. Agents must interact to acquire missing information and make correct downstream decisions. However, current multi-turn GRPO-based methods often rely on trajectory-level reward computation, which leads to credit assignment problems and insufficient advantage signals within rollout groups. A feasible approach is to identify valuable interaction turns at a fine granularity to drive more targeted learning. To address this, we introduce InfoPO (Information-Driven Policy Optimization), which frames multi-turn interaction as a process of active uncertainty reduction and computes an information-gain reward that credits turns whose feedback measurably changes the agent's subsequent action distribution compared to a masked-feedback counterfactual. It then combines this signal with task outcomes via an adaptive variance-gated fusion to identify information importance while maintaining task-oriented goal direction. Across diverse tasks, including intent clarification, collaborative coding, and tool-augmented decision making, InfoPO consistently outperforms prompting and multi-turn RL baselines. It also demonstrates robustness under user simulator shifts and generalizes effectively to environment-interactive tasks. Overall, InfoPO provides a principled and scalable mechanism for optimizing complex agent-user collaboration. Code is available at https://github.com/kfq20/InfoPO.
Figures & tables
Figure 1: Standard GRPO vs. InfoPO. Standard GRPO yields zero reward for ”honorable failures” (correct elicitation, failed execution). InfoPO solves this via counterfactual masking to provide dense, turn-level information-gain rewards.
Figure 2: Overview of the InfoPO framework. It extracts a turn-level info-gain signal by counterfactual reasoning and adaptively fuses it with outcome-based advantages to facilitate efficient credit assignment in multi-turn user-centric tasks.
Type
Method
UserGym
ColBench
τ2 -Bench
Avg
Travel
Func.
Pers.
Tau
Turtle
Search
Inten.
Tele.
Pass
Succ.
Telec.
Retail
Air.
Closed-Source Model
Prompting
Gemini-3-Flash
0.574
0.423
0.695
0.167
0.153
0.968
1.718
0.829
0.515
0.382
0.469
0.619
0.558
0.621
Prompting
GPT-4.1
0.554
0.051
0.599
0.109
0.267
0.480
1.867
0.732
0.529
0.403
0.388
0.544
0.400
0.533
Prompting
GPT-4o-mini
0.596
0.089
0.683
0.091
0.117
0.568
1.277
0.512
0.463
0.342
0.113
0.400
0.175
0.417
Qwen2.5-7B-Instruct
Table 1: Experimental results on UserGym, ColBench, and τ2 -Bench. The grey rows represent our proposed method and its ablation versions. Best and second-best results are marked within each model group (Closed-Source/Qwen2.5/Qwen3). Environment abbreviations: Func.: FunctionGym, Pers.: PersuadeGym, Inten.: IntentionGym, Tele.: TelepathyGym, Telec.: Telecom, Air.: Airline. Succ. denotes Success rate.
Figure 3: Extrinsic reward curves during training on (a) UserGym, (b) ColBench, and (c) τ2 -Bench. Solid lines and shaded regions represent mean ± std across three seeds.
Model
UserGym
ColBench
τ2 -Bench
Qwen2.5-7B-Inst.
0.384
0.313
0.763
Qwen3-4B
0.421
0.345
0.812
Table 2: Percentage of rollout groups with zero outcome variance during the initial training phase.
Figure 4: Mechanism diagnostics under ablations (aggregated across tasks). Jf denotes final extrinsic performance; Δbf is the best-to-final drop (late-training instability); Pcr is the probability of training collapse; Tˉ and Lˉ are the average interaction turns and response length; and ρL,r is the correlation between response length and extrinsic reward (a proxy for length-based reward hacking). All metrics are converted to “higher-is-better” scores in the figure; formal definitions are in Appendix C .
Figure 5: Interaction dynamics and reward signals. (a) Turns vs. response length; (b) Absolute info-gain (solid) and its advantage contribution ratio (dashed). See Appendix D.4 for more results.
Figure 6: Heatmap of turn-level info-gain rewards during training.
Figure 7: Success rates on environment-interactive tasks. InfoPO maintains a stable upward learning trend on Sokoban and WebShop, demonstrating its robust generalization beyond user-centric scenarios.
User
UserGym
ColBench
τ2 -Bench
Base
0.552
0.480
0.173
Optim. Prompt (OP)
0.563
0.483
0.203
Optim. Model (OM)
0.558
0.502
0.215
Table 3: Comparison of different simulated users at test time. Base uses GPT-4o-mini with default prompts, OP uses optimized prompts, and OM uses a stronger model (GPT-4.1).
Appendix figures & tables17 assets
Supplementary material from the paper’s appendix.
Appendix
Parameter
UserGym
ColBench
τ2 -Bench
Info Gain Configuration
Intrinsic weight ( β0 )
0.5
0.3
0.1
KL batch size
4
4
2
Gate temperature
0.5
0.5
0.05
Data Configuration
Train batch size
64
64
32
Appendix
Table 4: Key hyperparameters for training on UserGym, ColBench, and τ2 -Bench environments.
Figure 8: Robustness analysis of various masking strategies. We evaluate the sensitivity of internal representations (measured by KL divergence) across four placeholder designs: Default (String), Alternative String, Random Tokens, and Fixed Mask Token. (a-b) show that all strategies yield consistent distributions; (c) highlights minimal mean variation with t-test significance ( p ); (d) demonstrates that the maximum relative performance gap remains within an acceptable threshold ( <10% ), confirming the robustness of our default design.
Figure 9: Additional results. (a) Average response length and number of interaction turns on UserGym over training progress. (b) Average response length and number of interaction turns on τ2 -Bench over training progress. (c) Absolute info-gain reward and info-gain ratio on τ2 -Bench over training progress. (d) Sensitivity analysis of the Info-Gain reward weight ( β ) varying from 0.1 to 2.0.
Type
Method
Travel22
Travel33
Travel44
Travel233
Travel333
Travel334
Travel444
Travel2222
Closed-Source Model
Prompting
Gemini-3-Flash
0.586
0.572
0.588
0.587
0.600
0.528
0.568
0.565
Prompting
GPT-4.1
0.586
0.543
0.612
0.548
0.555
0.566
0.532
0.494
Prompting
GPT-4o-mini
0.600
0.586
0.579
0.584
0.600
0.617
0.600
0.600
Qwen2.5-7B-Instruct
Prompting
Qwen2.5
0.372
0.457
0.331
0.485
0.475
0.472
0.447
0.494
Appendix
Table 5: Results on Travel subsets. Grey rows denote InfoPO and its variants.
Figure 10: Observation sensitivity grouped by the quality of the realized next action at+1 on τ2 -Bench. Good next actions show consistently higher sensitivity than meaningless ones, especially for tool calls, suggesting that the counterfactual signal mainly reflects task-relevant information use rather than arbitrary likelihood shift.
Current action type
Mean rtinfo
Median rtinfo
Good
0.380
0.247
Meaningless
0.017
0.012
Appendix
Table 6: Information-gain reward grouped by the quality of the current action at on τ2 -Bench. Good actions receive much larger counterfactual credit than meaningless actions.
Figure 11: Effect of current-action quality on next-step sensitivity and continuation quality. Good current actions induce larger next-step sensitivity and are more likely to lead to good next actions, while meaningless actions mostly lead to low-sensitivity or meaningless continuations.
Method
Top-10% TC
Top-10% GOQ
Mean rinfo TC
Mean rinfo GOQ
Corr.(Len., rinfo )
ΔLM
Avg. Turns
Avg. Resp. Len.
InfoPO
58.8%
12.4%
0.3589
0.2029
0.157
0.319
10.4
105.3
InfoPO w/o Gate
32.3%
31.2%
0.2412
0.2723
0.352
-0.055
13.5
140.7
Appendix
Table 7: Reward-hacking diagnostics for high information-gain turns. TC denotes targeted clarification and GOQ denotes generic open question. ΔLM denotes the length-matched information-gain gap between TC and GOQ.
Figure 12: InfoPO Successful Case (UserGym)
Figure 13: InfoPO Successful Case (ColBench)
Figure 14: InfoPO Successful Case ( τ2 -Bench)
Figure 15: Optimized system instruction for TravelGym (Planning interaction).
Figure 16: Optimized system instruction for IntentionGym (Intent elicitation).
Figure 17: Optimized system instruction for TelepathyGym (Iterative guessing).
Figure 18: Optimized simulation prompt for collaborative coding in ColBench.
Figure 19: Optimized simulation guidelines for Airline and Retail domains in τ2 -Bench.
Figure 20: Optimized simulation guidelines for the Telecom domain in τ2 -Bench, addressing tool-usage failure modes.