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Regressing the Relative Future: Efficient Policy Optimization for Multi-turn RLHF
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Proposes REFUEL, a regression-based on-policy multi-turn RLHF method that regresses relative future rewards (differences of Q-values from paired rollouts sharing a prefix) to achieve covariate-shift-free policy optimization for dialogue.
Problem
Single-turn RLHF methods applied to multi-turn dialogue train on histories from a reference policy, causing covariate shift at test time, and actor-critic multi-turn RL is memory- and stability-costly.
Approach
Use the soft-optimal policy's log-ratio as a Q-value parameterization and regress the difference of conversation-level rewards from two on-policy rollouts sharing a prefix; this removes the need for a critic and any single-turn pairwise RLHF loss can be adapted to multi-turn with on-policy data.
Key results
- On UltraInteract with a simulated user, REFUEL (iter 2) reaches 56.64 average winrate over turns 1-5, versus 61.24 for Llama-3.1-70B-it and 55.44 for Llama-3.1-8B-it, with REFUEL exceeding the 70B model at turns 3-5 in winrate for the later-turn trend.
- On Anthropic HH, REFUEL achieves 82.8 winrate against the base policy, above the best baseline REBEL-lt-online at 80.2.
- On UltraInteract (setting two), REFUEL reaches 79.6 winrate versus 73.4 for the best baseline REBEL-lt-online, with a KL of 93.19 compared with 62.85 for REBEL-lt-online.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use Refuel instead of Rebel-lt-online | Llama-3-8B-it · Anthropic HH | winrate: 80.2 -> 82.8 | Helped |
| Use Refuel instead of Rebel-lt-online | Llama-3-8B-it · UltraInteract (pre-sampled questions) | winrate: 73.4 -> 79.6 | Helped |
| Use Refuel instead of Rebel-lt-Mixed | Llama-3-8B-it · UltraInteract (pre-sampled questions) | RM score: 0.93 -> 0.87 | Hurt |
| Use Refuel instead of Rebel-mt-mixed | Llama-3-8B-it · UltraInteract (pre-sampled questions) | KL divergence: 61.34 -> 93.19 | Hurt |
| Use Refuel instead of Llama-3.1-70B-it | Llama-3-8B-it · UltraInteract (simulated user), average | winrate: 61.24 -> 56.64 | Hurt |
| Add on-policy rollins instead of offline-data rollins | single-turn RLHF baselines · UltraInteract (simulated user) | winrate | Helped |
| Optimize at every turn for future returns instead of optimizing only the last turn | on-policy Refuel versus lt-online · UltraInteract (simulated user), turns 2–5 | winrate | Helped |
| Optimize at every turn rather than only the last turn | offline mt-mixed versus lt-Mixed · UltraInteract (simulated user), turns 2–5 | winrate | Helped |
| Use offline-data rollins rather than on-policy rollins | multi-turn RLHF · UltraInteract (simulated user) | winrate | Hurt |
Surprising findings
- Multi-turn offline variants (e.g., RLOO-mt-mixed, REBEL-mt-mixed) collapse to about 33-34 winrate on UltraInteract in setting two, far below single-turn variants.
- Fine-tuned Llama-3-8B with REFUEL outperforms the Llama-3.1-70B-it model on longer dialogues (more than three turns).
Limitations
- Relies on a pre-trained reward model and simulated (LLM-based) user, so results depend on simulator and reward quality.
- Setting two only trains the last four layers of Llama-3-8B and uses pre-sampled questions, which is a simplified transition.
- Theoretical guarantees rely on assumptions such as bounded regression error and coverage; the on-policy analysis focuses on pure on-policy training.
Experimental setup
Datasets: UltraInteract Anthropic HH
Benchmarks: UltraInteract Anthropic HH
Metrics: winrate vs Llama-3-8B-it turn-wise winrate reward model score KL divergence
Baselines: RLOO DPO REBEL Llama-3.1-8B-it Llama-3.1-70B-it
Builds on: REBEL DPO natural policy gradient policy mirror descent
Closest papers by meaning
- Multi-turn Reinforcement Learning with Preference Human Feedback (NeurIPS 2024 · similarity 0.91)
- ArCHer: Training Language Model Agents via Hierarchical Multi-Turn RL (ICML 2024 · similarity 0.91)
- LMRL Gym: Benchmarks for Multi-Turn Reinforcement Learning with Language Models (ICML 2025 · similarity 0.90)
- MA-RLHF: Reinforcement Learning from Human Feedback with Macro Actions (ICLR 2025 · similarity 0.89)
- Q-SFT: Q-Learning for Language Models via Supervised Fine-Tuning (ICLR 2025 · similarity 0.89)
- ShiQ: Bringing back Bellman to LLMs (NeurIPS 2025 · similarity 0.89)
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