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Preference Distillation via Value based Reinforcement Learning
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Proposes TVKD, an offline preference distillation method that adds a potential-based shaping term built from a DPO-trained teacher's soft value function to the DPO loss, improving small student models without extra rollouts.
Problem
Binary win-or-loss DPO supervision is insufficient for small language models with limited capacity, and prior distillation methods mimic teacher behavior (KL or behavior cloning) without modeling teacher reward structure, potentially conflicting with the preference data.
Approach
Define a soft value function V(s)=β log Σ exp(Q/β) from the DPO teacher's token logits and add the potential-based shaping term V(s')−V(s) to the student's DPO reward, which by PBRS theory preserves the optimal policy while injecting soft sequence-level guidance; implemented as a modified DPO loss with precomputed teacher logits and no extra rollouts.
Key results
- On DPOMIX with LLaMA-3.1-8B teacher and LLaMA-3.2-1B student, TVKD reaches RM -1.15, MT-Bench 3.97, AlpacaEval 52.18 win rate vs ADPA, outperforming all baselines including ADPA (50.00 AE).
- On HelpSteer2 the same setting gives TVKD RM -1.18, MT-Bench 3.98, AlpacaEval 54.85, the best among compared methods.
- TVKD requires no student rollouts and uses precomputed teacher logits, with the paper reporting ~2.5-3 hours wall time on four RTX 4090 GPUs.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add teacher value-based potential shaping to DPO | LLaMA-3.2-1B · DPO-MIX-7K | RM: -1.21 -> -1.15 | Helped |
| add teacher value-based potential shaping to DPO | LLaMA-3.2-1B · DPO-MIX-7K | MT-Bench: 3.73 -> 3.97 | Helped |
| add teacher value-based potential shaping to DPO | LLaMA-3.2-1B · DPO-MIX-7K | AlpacaEval win rate: 50.00 -> 52.18 | Helped |
| add teacher value-based potential shaping to DPO | LLaMA-3.2-1B · DPO-MIX-7K | OLL average: 41.36 -> 41.61 | Helped |
| add teacher value-based potential shaping to DPO | LLaMA-3.2-1B · HelpSteer2 | RM: -1.22 -> -1.18 | Helped |
| add teacher value-based potential shaping to DPO | LLaMA-3.2-1B · HelpSteer2 | MT-Bench: 3.77 -> 3.98 | Helped |
| add teacher value-based potential shaping to DPO | LLaMA-3.2-1B · HelpSteer2 | AlpacaEval win rate: 50.00 -> 54.85 | Helped |
| add teacher value-based potential shaping to DPO | LLaMA-3.2-1B · HelpSteer2 | OLL average: 41.33 -> 41.35 | Helped |
| replace the teacher shaping term with log probabilities (ablation) | TVKD · Preferred-trajectory identification | accuracy: 25.82 -> 19.56 | Hurt |
| replace the teacher shaping term with length-normalized log probabilities (ablation) | TVKD · Preferred-trajectory identification | accuracy: 25.82 -> 19.72 | Hurt |
| replace the state-value shaping term with action-dependent logits (ablation) | TVKD · AlpacaEval | win rate: 50.00 -> 37.18 | Hurt |
| replace the state-value shaping term with action log probabilities (ablation) | TVKD · AlpacaEval | win rate: 50.00 -> 32.50 | Hurt |
Surprising findings
- Action-dependent shaping (teacher logits or log-probabilities) yields lower margin accuracy (~18%) than state-based shaping terms, consistent with the theoretical argument about policy invariance.
- Standard DPO student shows lower MT-Bench (3.70) than the SFT-based distillation variants in some settings, and the shaping term alone gives higher sequence-level preference accuracy (25.82%) than raw or length-normalized log-probabilities.
Limitations
- Relies on the teacher value function being accurate; noisy or misestimated values may degrade training, which is not tested.
- Robustness with weak or mismatched teachers is not evaluated.
- Relies on LLM-based judges (gpt-4o-mini and a reward model) for MT-Bench, AlpacaEval, and RM scores; reported gains are small in some metrics.
Experimental setup
Datasets: Deita-10k-V0 DPO-MIX-7K HelpSteer2
Benchmarks: RewardBench-style RM score (FsfairX-LLaMA3-RM-v0.1) MT-Bench AlpacaEval Open LLM Leaderboard
Metrics: RM score MT-Bench score AlpacaEval win rate Open LLM Leaderboard average margin accuracy KL divergence to teacher value
Baselines: SFT DPO SimPO WPO TDPO VanillaKD SeqKD GKD DCKD DDPO DPKD ADPA
Builds on: DPO potential-based reward shaping DCKD ADPA DDPO
Closest papers by meaning
- Explicit Preference Optimization: No Need for an Implicit Reward Model (ICML 2025 · similarity 0.89)
- AlphaDPO: Adaptive Reward Margin for Direct Preference Optimization (ICML 2025 · similarity 0.89)
- Value-Incentivized Preference Optimization: A Unified Approach to Online and Offline RLHF (ICLR 2025 · similarity 0.89)
- Reward Model Learning vs. Direct Policy Optimization: A Comparative Analysis of Learning from Human Preferences (ICML 2024 · similarity 0.89)
- Advantage-Guided Distillation for Preference Alignment in Small Language Models (ICLR 2025 · similarity 0.89)
- Data with High and Consistent Preference Difference Are Better for Reward Model (AAAI 2025 · similarity 0.88)
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