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Sail into the Headwind: Alignment via Robust Rewards and Dynamic Labels against Reward Hacking
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Identifies two types of reward hacking in offline preference optimization from data sparsity and proposes POWER-DL, combining weighted-entropy robust rewards with dynamic preference labels, which outperforms DPO and other PO variants on AlpacaEval 2.0 and Arena-Hard.
Problem
Reward hacking in offline preference optimization: statistical fluctuations in sparsely covered preference data cause learned policies to overweight subpar responses (Type I) or underweight good responses and degrade the initial model (Type II).
Approach
Combine a robust (adversarial) reward maximization with weighted-entropy regularization (POWER), giving a single-step objective with length-normalized SFT term, plus dynamic preference labels that shrink gradients on poorly covered pairs so the policy stays near the initial model there.
Key results
- POWER-DL on Helpsteer2 Llama3-8B-Base reaches 31.52 LC and 31.44 WR on AlpacaEval 2.0 and 21.5 on Arena-Hard, versus 18.52 / 14.99 / 10.0 for DPO.
- POWER-DL on Zephyr Llama3-8B-Base gets 27.00 LC AlpacaEval and 17.3 Arena-Hard, versus 22.53 and 13.3 for DPO.
- Paper reports POWER-DL improves over DPO by up to 13.0 points on AlpacaEval 2.0 and 11.5 on Arena-Hard, and up to 7.0 points on GSM8K.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add dynamic labels to POWER (ablation) | POWER · HelpSteer2 base AlpacaEval 2.0 | length-controlled win rate (%): 29.57 -> 31.52 | Helped |
| add dynamic labels to POWER (ablation) | POWER · HelpSteer2 base AlpacaEval 2.0 | win rate (%): 30.00 -> 31.44 | Helped |
| add dynamic labels to POWER (ablation) | POWER · HelpSteer2 base Arena-Hard | win rate (%): 19.0 -> 21.5 | Helped |
| add dynamic labels to POWER (ablation) | POWER · HelpSteer2 instruct AlpacaEval 2.0 | length-controlled win rate (%): 43.52 -> 47.16 | Helped |
| add dynamic labels to POWER (ablation) | POWER · HelpSteer2 instruct AlpacaEval 2.0 | win rate (%): 40.19 -> 43.08 | Helped |
| add dynamic labels to POWER (ablation) | POWER · HelpSteer2 instruct Arena-Hard | win rate (%): 31.5 -> 34.8 | Helped |
| add dynamic labels to POWER (ablation) | POWER · Zephyr base AlpacaEval 2.0 | length-controlled win rate (%): 23.72 -> 27.00 | Helped |
| add dynamic labels to POWER (ablation) | POWER · Zephyr base AlpacaEval 2.0 | win rate (%): 21.26 -> 22.57 | Helped |
| add dynamic labels to POWER (ablation) | POWER · Zephyr base Arena-Hard | win rate (%): 16.0 -> 17.3 | Helped |
| add dynamic labels to POWER (ablation) | POWER · Zephyr instruct AlpacaEval 2.0 | length-controlled win rate (%): 46.93 -> 48.97 | Helped |
| add dynamic labels to POWER (ablation) | POWER · Zephyr instruct AlpacaEval 2.0 | win rate (%): 42.02 -> 43.75 | Helped |
| add dynamic labels to POWER (ablation) | POWER · Zephyr instruct Arena-Hard | win rate (%): 38.0 -> 41.5 | Helped |
Surprising findings
- Divergence-minimization methods (DPO, IPO, chiPO) can fail even when the learned policy stays close to the initial model, because small divergence does not induce enough pessimism under sparse coverage.
- SimPO can significantly degrade GSM8K performance of the initial model in some settings.
Limitations
- Theoretical analysis of dynamic labels is restricted to a bandit/softmax setting; unified analysis with POWER and general function approximation is left open.
- Reward hacking analysis focuses on statistical fluctuations from partial coverage and does not address reward misspecification.
Experimental setup
Datasets: OpenAssistant2 (oasst2) HelpSteer2 UltraChat-200K UltraFeedback
Benchmarks: AlpacaEval 2.0 Arena-Hard MT-Bench MMLU MMLU-PRO ARC-Challenge HellaSwag Winogrande TruthfulQA IFEval GSM8K
Metrics: length-controlled win rate win rate accuracy
Baselines: DPO IPO SPPO chiPO cDPO R-DPO DPO+SFT CPO SLiC-HF RRHF ORPO SimPO
Builds on: DPO SimPO IPO chiPO DPO+SFT weighted entropy
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