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Preference Distillation via Value based Reinforcement Learning

NeurIPS 2025 · Reinforcement learning › RL from feedback · approach: Reward modeling versus direct optimization · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add teacher value-based potential shaping to DPOLLaMA-3.2-1B · DPO-MIX-7KRM: -1.21 -> -1.15Helped
add teacher value-based potential shaping to DPOLLaMA-3.2-1B · DPO-MIX-7KMT-Bench: 3.73 -> 3.97Helped
add teacher value-based potential shaping to DPOLLaMA-3.2-1B · DPO-MIX-7KAlpacaEval win rate: 50.00 -> 52.18Helped
add teacher value-based potential shaping to DPOLLaMA-3.2-1B · DPO-MIX-7KOLL average: 41.36 -> 41.61Helped
add teacher value-based potential shaping to DPOLLaMA-3.2-1B · HelpSteer2RM: -1.22 -> -1.18Helped
add teacher value-based potential shaping to DPOLLaMA-3.2-1B · HelpSteer2MT-Bench: 3.77 -> 3.98Helped
add teacher value-based potential shaping to DPOLLaMA-3.2-1B · HelpSteer2AlpacaEval win rate: 50.00 -> 54.85Helped
add teacher value-based potential shaping to DPOLLaMA-3.2-1B · HelpSteer2OLL average: 41.33 -> 41.35Helped
replace the teacher shaping term with log probabilities (ablation)TVKD · Preferred-trajectory identificationaccuracy: 25.82 -> 19.56Hurt
replace the teacher shaping term with length-normalized log probabilities (ablation)TVKD · Preferred-trajectory identificationaccuracy: 25.82 -> 19.72Hurt
replace the state-value shaping term with action-dependent logits (ablation)TVKD · AlpacaEvalwin rate: 50.00 -> 37.18Hurt
replace the state-value shaping term with action log probabilities (ablation)TVKD · AlpacaEvalwin rate: 50.00 -> 32.50Hurt

Surprising findings

Limitations

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

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