arXiv:2502.07414cs.LG2025-02被引 3

通过样本权重平均提升模型在分布外情况下的稳定预测能力。

Sample Weight Averaging for Stable Prediction

  • 提出样本权重平均方法,降低重加权带来的方差膨胀
  • 在合成与真实数据集上显著提升分布外泛化性能
  • 无需额外标签或计算成本,可通用集成到各类重加权算法

分布外(OOD)泛化是机器学习应用于高风险场景的核心挑战。受传统重要性加权和倾向得分加权启发,现有方法采用基于独立性的样本重加权策略,旨在消除不稳定变量与结果间的虚假相关性,从而缓解协变量偏移带来的偏差,实现稳定预测。然而,此类方法易导致方差膨胀,主要源于重加权过程中训练样本利用效率下降。现有修复手段需环境标签或引入更高时间成本、额外假设及监督信息。为此,本文提出样本权重平均(SAWA),一种简单高效的通用策略,可无缝集成至多种样本重加权算法中,有效降低方差与系数估计误差,提升协变量偏移下的泛化能力,实现跨环境稳定预测。理论证明其合理性与优势。在合成与真实数据集上的实验一致验证了其优越性。

原文摘要 · Abstract (English)

The challenge of Out-of-Distribution (OOD) generalization poses a foundational concern for the application of machine learning algorithms to risk-sensitive areas. Inspired by traditional importance weighting and propensity weighting methods, prior approaches employ an independence-based sample reweighting procedure. They aim at decorrelating covariates to counteract the bias introduced by spurious correlations between unstable variables and the outcome, thus enhancing generalization and fulfilling stable prediction under covariate shift. Nonetheless, these methods are prone to experiencing an inflation of variance, primarily attributable to the reduced efficacy in utilizing training samples during the reweighting process. Existing remedies necessitate either environmental labels or substantially higher time costs along with additional assumptions and supervised information. To mitigate this issue, we propose SAmple Weight Averaging (SAWA), a simple yet efficacious strategy that can be universally integrated into various sample reweighting algorithms to decrease the variance and coefficient estimation error, thus boosting the covariate-shift generalization and achieving stable prediction across different environments. We prove its rationality and benefits theoretically. Experiments across synthetic datasets and real-world datasets consistently underscore its superiority against covariate shift.

分布外泛化稳定预测样本重加权协变量偏移

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