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PAIR: Prefix-Aware Internal Reward Model for Multi-Turn Agent Optimization

Wonjoong Kim, Yeonjun In, Sangwu Park, Dongha Lee, Chanyoung Park

May 18, 2026arXiv:2605.17877v1
cs.AI
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Scorecard· 5/16
7.0/10 impact

Abstract

A significant hurdle for current LLMs is the execution of complex, multi-stage tasks. Group Relative Policy Optimization (GRPO) has been emerging as a leading choice, but its reliance on sparse outcome rewards severely limits credit assignment across intermediate steps. Existing remedies such as running full rollouts to assign step-level advantages, calling external LLM judges at each step, or computing intrinsic rewards that require ground-truth answers at every evaluation introduce significant costs or practical constraints. We hypothesize that internal correctness probing over LLM hidden states can be repurposed as a step-level reward signal, potentially addressing all of these limitations at once. However, existing probing research assumes clean inputs, and we first show that this assumption breaks down in multi-step settings: hidden-state probes degrade severely under prefix contamination tracking coherence with the (possibly corrupted) prefix rather than grounded correctness, while attention-based features remain robust to contamination but underperform on clean prefixes. Building on this complementary relationship, we propose the Prefix-Aware Internal Reward (PAIR), a two-stage model with a frozen hidden-state probe estimating belief-consistency and a lightweight attention-based head correcting it toward grounded correctness. Experimental results show that PAIR achieves the highest AUROC on contaminated trajectories while operating at negligible inference cost, enabling dense step-level reward signals for GRPO training without external model calls, ground-truth dependencies, or full-trajectory rollouts.

AI Impact Assessments

(1 model)

Scientific Impact Assessment: PAIR — Prefix-Aware Internal Reward Model for Multi-Turn Agent Optimization

1. Core Contribution

PAIR addresses the credit assignment problem in multi-turn reinforcement learning for LLM agents. The key insight is that hidden-state probes trained on LLM internal representations track *belief-consistency* (coherence with the prefix) rather than *grounded correctness* (actual task utility), and this distinction becomes critical when earlier steps in a trajectory contain errors—a condition termed "prefix contamination." The paper identifies that attention-based features are comparatively robust to prefix contamination while hidden-state features excel under clean conditions, then proposes a two-stage architecture: a frozen hidden-state probe provides a belief-consistency baseline score, and a lightweight attention-based correction head adjusts it toward grounded correctness. This provides dense step-level rewards for GRPO without external LLM calls, ground-truth dependencies, full-trajectory rollouts, or separate reward models.

2. Methodological Rigor

Strengths in experimental design: The motivation experiments are well-constructed. The matched clean/contaminated trajectory pairs with identical evaluation turns enable causal identification of prefix contamination effects. The adversarial diagnostic set (Section 3.1.3), where belief-consistency and grounded correctness are deliberately anti-correlated, provides compelling mechanistic evidence—hidden-state probes score at or below chance while attention probes remain above chance.

Concerns: The probing architecture is remarkably simple—two logistic regression models. While simplicity is a strength for deployment, it raises questions about whether the method captures sufficient complexity for diverse contamination patterns. The paper uses a single backbone model (Qwen-2.5-7B-Instruct) throughout, limiting generalizability claims. The contaminated trajectories are generated by GPT-4o-mini using prescribed templates, introducing potential distribution mismatch with naturally occurring errors during actual RL exploration.

The downstream RL results (Table 3) show PAIR achieving the best results on both benchmarks, but the improvements over strong baselines are modest—0.2489 vs. 0.2387 (LLM-as-judge) on GTA and 0.4498 vs. 0.4203 on ToolBench. Standard deviations overlap on GTA (±0.042 for both), making the GTA improvement statistically questionable. The ToolBench improvement is more convincing. The evaluation protocol on ToolBench uses LLM-judge scoring with partial credit rather than the standard evaluation, which the authors justify but which complicates comparison with other work.

3. Potential Impact

Practical significance: The computational efficiency argument is strong. At ~0.2ms per step versus ~500ms for LLM-as-judge or seconds for tree-based methods, PAIR enables dense reward computation that is genuinely practical for online RL training at scale. This addresses a real bottleneck—the prohibitive cost of step-level reward computation in multi-turn agent training.

Conceptual contribution: The belief-consistency vs. grounded-correctness distinction is a genuinely useful conceptual framework. This insight extends beyond the specific PAIR architecture and could inform future work on internal state probing, reward modeling, and mechanistic interpretability. The finding that attention features are more robust to distributional shift (cross-domain transfer experiment) than hidden-state features adds to our understanding of what different internal representations encode.

Broader applicability: The approach could potentially extend to any setting where LLMs must evaluate intermediate steps in sequential decision-making—code generation, multi-hop reasoning, planning—though the paper only demonstrates this on tool-use benchmarks.

4. Timeliness & Relevance

The paper is highly timely. Multi-turn agent training with RL (particularly GRPO) is an active frontier, and the sparse reward problem is widely recognized. The intersection of mechanistic interpretability (probing internal states) and practical RL training (reward design) is an emerging area with significant potential. The comparison table (Table 1) effectively positions PAIR against concurrent work (AT2PO, Tree-GRPO, IGPO, TIPS, SWEET-RL, AgentPRM) and identifies a genuine gap.

5. Strengths & Limitations

Key Strengths:

  • The mechanistic analysis of *why* hidden-state probes fail under contamination is the paper's strongest contribution—more insightful than the PAIR architecture itself
  • Clean experimental design with matched pairs enabling causal attribution
  • The cross-domain transfer experiment (Figure 4) provides evidence that PAIR captures transferable properties rather than dataset-specific features
  • Comprehensive baseline comparison (16 methods) with fair experimental protocol
  • Negligible inference cost makes it genuinely deployable
  • Notable Limitations:

  • Single backbone model limits generalizability; the belief-consistency bias may manifest differently in models with different architectures or scales
  • The contamination generation via GPT-4o-mini may not faithfully represent the distribution of errors that emerge during actual RL exploration
  • Binary correctness labels are a simplification; many real errors are partial
  • The momentum reward design (Appendix E) introduces additional hyperparameters (α, T, ε) that require tuning, partially undermining the "simple and practical" narrative
  • The improvement margins on downstream tasks are modest, particularly on GTA where overlap with LLM-as-judge is within error bars
  • The paper claims "no external model calls" but uses GPT-4o-mini for contamination data generation during the offline training phase
  • Missing comparisons: The paper does not compare against recently proposed process reward models adapted for agentic settings (beyond citing them), nor does it compare against self-consistency or majority voting approaches that also require no external supervision.

    6. Additional Observations

    The paper is well-written with clear exposition. The framing around four simultaneous desiderata (dense rewards, no LLM calls, no full rollouts, no ground truth) is effective. The appendices are thorough, with detailed ablations and reproducibility information. The sensitivity analysis regarding contamination distance (Appendix B) strengthens the mechanistic claims. However, the practical impact depends heavily on whether the offline probe training generalizes to the evolving policy distribution during RL training—a question not fully addressed.

    Rating:6.8/ 10
    Significance 7Rigor 6.5Novelty 7.5Clarity 8

    Generated May 19, 2026

    Comparison History (22)

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