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Enhancing Decision-Making for LLM Agents via Step-Level Q-Value Models
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Proposes Q-value models for LLM agents: MCTS collects step-level Q-annotated trajectories, a small LLM (Phi-1.5) is trained with step-level DPO as a Q-function, and agents pick the highest-Q sampled action at each step.
Problem
LLM agents struggle with multi-step decision-making because intermediate actions receive no reward signal and sparse outcome rewards make action values hard to estimate.
Approach
Use MCTS to estimate step-level Q-values from sparse outcome rewards, build step-level preference pairs from these values, and train a separate small LLM with step-level DPO whose implicit log-ratio serves as a Q-value model that selects among sampled candidate actions at inference, without fine-tuning the agent backbone.
Key results
- Phi-3-mini-4k-instruct agent with Q-value model reaches 0.61 on WebShop (vs 0.30 base, +103%) and 0.35 on HotPotQA (vs 0.20, +75%), above GPT-4o-mini's 0.49 and 0.31 respectively.
- GPT-4o-mini with Q-value model improves from 0.49 to 0.64 on WebShop and 0.31 to 0.44 on HotPotQA.
- Step-level preference data outperforms trajectory-level data across candidate counts (0.61 vs 0.50 at n=5 on WebShop).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add step-level Q-value guidance to Phi-3-mini-4k-instruct | Phi-3-mini-4k-instruct agent · WebShop | average outcome reward: 0.30 -> 0.61 (+103%) | Helped |
| add step-level Q-value guidance to Phi-3-mini-4k-instruct | Phi-3-mini-4k-instruct agent · HotPotQA | average outcome reward: 0.20 -> 0.35 (+75%) | Helped |
| add step-level Q-value guidance | Llama-3.1-8B-instruct agent · WebShop | average outcome reward: 0.48 -> 0.60 (+25%) | Helped |
| add step-level Q-value guidance | GPT-4o-mini agent · HotPotQA | average outcome reward: 0.31 -> 0.44 (+42%) | Helped |
| add step-level Q-value guidance (ablation) | Phi-3-mini-4k-instruct agent · WebShop, n=5 | average reward: 0.50 -> 0.61 | Helped |
| replace step-level with trajectory-level preference data (ablation) | Q-value model for Phi-3-mini-4k-instruct · WebShop, n=1 | average reward: 0.30 -> 0.30 | No clear effect |
| add Reflection to ReAct prompting | GPT-4o-mini agent · HotPotQA | averaged reward: 0.31 -> 0.39 | Helped |
| add Reflection to ReAct prompting | Phi-3-mini-4k-instruct agent · HotPotQA | averaged reward: 0.20 -> 0.15 | Hurt |
| add Q-value guidance to ReAct | GPT-4o-mini agent · HotPotQA | averaged reward: 0.31 -> 0.46 | Helped |
| add Q-value guidance to ReAct + Reflection | GPT-4o-mini agent · HotPotQA | averaged reward: 0.39 -> 0.48 | Helped |
Surprising findings
- Applying ReAct + Reflection prompting reduced Phi-3-mini-4k-instruct's HotPotQA reward from 0.20 to 0.15, which the authors attribute to the small model's limited comprehension of reflection prompts.
- Q-value models trained on Phi-3 data transfer to stronger agents (Llama-3.1-8B, GPT-4o-mini, GPT-4-turbo) with gains, though smaller than for the data-generating agent.
Limitations
- Q-value models limited to 1.3B parameters due to compute constraints.
- Inference requires sampling n candidate actions, increasing token consumption n-fold.
- Preference accuracy drops on HotPotQA (67% IND) due to binary rewards and MCTS early stopping.
Experimental setup
Datasets: WebShop HotPotQA
Benchmarks: WebShop HotPotQA
Metrics: average outcome reward preference accuracy
Baselines: RFT AgentEvol ETO Best-of-N ReAct + Reflection trajectory-level Q-value model
Builds on: Direct Policy Optimization (DPO) Monte Carlo Tree Search UCT ETO AgentEvol Reflexion ReAct
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