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最小贝叶斯风险解码中通过奇异值分解缓解过拟合

Overfitting Mitigation via Singular Value Decomposition in Minimum Bayes Risk Decoding

Riza Setiawan Soetedjo, Yusuke Sakai, Hidetaka Kamigaito, Katsuhiko Hayashi, Taro Watanabe

arXiv 2609.01135首次发表:更新:

发表机构

Nara Institute of Science and Technology (NAIST); The University of Tokyo(奈良科学技术研究所(NAIST); 东京大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究针对最小贝叶斯风险解码的度量过拟合问题,提出SVD-MBR方法,通过奇异值分解解耦真实共识与度量噪声,在广义度量上取得显著性能提升,且去噪效果具度量依赖性。

AI 中文摘要

最小贝叶斯风险(MBR)解码通过选择在采样伪参考上最大化效用度量的假设,实现高质量文本生成,但它极易受到度量过拟合的影响:它会以牺牲其他未优化的评估度量为代价,不规则地放大所选的效用度量。为缓解这一问题,我们提出SVD-MBR,将成对效用矩阵视为含噪信息信号,通过奇异值分解(SVD)计算低秩近似并仅保留前k个分量,有效将真实共识与度量噪声解耦。实验表明,SVD-MBR成功正则化解码,在一系列广义度量上取得显著提升。此外,我们发现这种去噪具有度量依赖性:神经度量编码适合SVD的鲁棒低秩共识理想,而表面级度量难以将信号与度量噪声分离。

英文摘要

Minimum Bayes Risk (MBR) decoding enables high-quality text generation by selecting the hypothesis that maximizes a utility metric over sampled pseudo-references. However, it is highly susceptible to metric overfitting: it can irregularly inflate the chosen utility metric at the direct expense of other unoptimized evaluation metrics. To mitigate this, we introduce SVD-MBR, which frames the pairwise utility matrix as a noisy information signal. By computing a low-rank approximation via Singular Value Decomposition (SVD) and retaining only the top-$k$ components, we effectively decouple true consensus from metric noise. Experiments demonstrate that SVD-MBR successfully regularizes decoding, yielding substantial gains across a range of generalized metrics. Furthermore, we reveal that this denoising is metric-dependent: neural metrics encode a robust low-rank consensus ideal for SVD, whereas surface-level metrics struggle to separate signal from metric noise.

CommentsAccepted to EMNLP 2026 Main

论文原文

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