arXiv:2606.30627cs.LGcs.AI2026-06中稿 · ICML

越保守的离线训练,线上适应时越容易被奖励模型误导。

Pessimism's Paradox: Conservative Offline Training Amplifies Reward Hacking During Online Adaptation in Reasoning Models

论文配图:Pessimism's Paradox: Conservative Offline Training Amplifies Reward Hacking During Online Adaptation in Reasoning Models
图 1 · 摘自论文原文
  • 用不同保守度的DPO训练模型,测试线上优化效果
  • 保守度越高,奖励黑客损伤越大,相关性达1.0
  • 低熵响应导致奖励模型不确定性被快速利用

保守的离线训练常被视为安全基础:若策略保持在良好行为附近,就不易利用学习到的奖励模型的缺陷。我们通过实证和机制分析挑战这一直觉。使用Qwen3-14B策略,在直接偏好优化(DPO)中设置三种保守度(β∈{βₗₒ, βₘᵢ𝒹, βₕᵢ}),基于经验对数比百分位确定,随后在学习到的奖励集成(3×Qwen3-1.7B)上进行在线适应,测量其在GSM8K上的精确答案准确率。结果发现,更高的离线保守度单调增加奖励黑客损害,以Goodhart差距及其曲线下面积(AUGC)衡量,三个条件间斯皮尔曼相关系数ρ=1.0。机制分析揭示三阶段因果链:(i) 高β的DPO压缩策略熵;(ii) 低熵策略生成响应多样性降低,集中于奖励模型训练分布的狭窄区域(成对余弦距离更低);(iii) 尽管接近训练分布,但集成分歧(认知不确定性)随β上升,并在在线优化中更快被利用。我们进一步对(β, AUGC)数据拟合幂律曲线,识别出平衡对齐保真度与黑客脆弱性的实际最优保守度β⋆。结果表明,领域需要的是校准的,而非最大化的保守性。

原文摘要 · Abstract (English)

Conservative offline training is widely advocated as a safe foundation for subsequent online adaptation: if a policy stays close to well-supported behaviour, the argument goes, it is less likely to exploit imperfections in a learned reward model. We challenge this intuition empirically and mechanistically. We train a Qwen3-14B policy under Direct Preference Optimisation (DPO) with three levels of conservatism ($β\in \{β_{\mathrm{lo}}, β_{\mathrm{mid}}, β_{\mathrm{hi}}\}$ derived from empirical log-ratio percentiles), then adapt each checkpoint online against a learned reward ensemble (3\,$\times$\,Qwen3-1.7B) while measuring true performance on GSM8K exact-answer accuracy. We find that \emph{higher offline conservatism monotonically increases reward-hacking damage}, measured by the Goodhart gap and its area under the curve (AUGC), with Spearman $ρ= 1.0$ across all three conditions. Mechanistic analysis reveals a three-link causal chain: (i) high-$β$ DPO compresses policy entropy, (ii) Low-entropy policies generate responses with reduced diversity, concentrating in a narrow region of the reward model's training distribution (lower pairwise cosine distance), and (iii) despite this proximity, ensemble disagreement (epistemic uncertainty) increases with $β$ and is exploited faster during online optimisation. We further fit a power-law curve to the $(β, \augc)$ data and identify a practical optimal conservatism level $β^{\star}$ that balances alignment fidelity against hacking vulnerability. Our results suggest that the field needs \emph{calibrated}, not \emph{maximal}, conservatism.

强化学习奖励欺骗模型对齐

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