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分类依据与纠错

AI 根据所提供的论文材料归类:摘要研究一般机器学习的协变量漂移与风险界,未明确涉及所列经济计量细分领域。

反馈分类问题

正在核对关联版本…

代码、数据与补充材料

正在核对对应版本的资源…

关注这篇论文的作者
Jeonghwan Lee
Cong Ma

双重稳健协变量漂移适应的学习界

研究问题
当训练域与测试域的协变量分布不同、结局条件分布相同时,双重稳健适应方法能否获得超出渐近结论的有限样本风险保证?
方法与思路
作者结合密度比与初步回归估计,利用初步估计的 L² 误差和 Rademacher 复杂度推导风险界,并分析正确设定参数模型。
材料陈述的贡献
摘要称,建立了不限定初步估计程序的高概率超额风险上界,并以来源域与目标域的 Fisher 信息失配刻画参数模型中的关键项。
阅读关注点
应核对跨域支持与密度比条件、高概率界的依赖项,以及参数模型正确设定时信息失配如何影响有限样本保证。
阅读边界
这是 arXiv 预印本,同行评审与期刊接收均未核实;摘要未列出风险界的具体条件与常数,不能直接推广到条件分布也改变的情形。

原文摘要

Distribution shift between the training domain and the test domain poses a key challenge for modern machine learning. An extensively studied instance is the \emph{covariate shift}, where the marginal distribution of covariates differs across domains, while the conditional distribution of outcome remains the same. The doubly-robust (DR) estimator, recently introduced by \cite{kato2023double}, combines the density ratio estimation with a pilot regression model and demonstrates asymptotic normality and $\sqrt{n}$-consistency, even when the pilot estimates converge slowly. However, the prior arts has focused exclusively on deriving asymptotic results and has left open the question of non-asymptotic guarantees for the DR estimator. This paper establishes the first non-asymptotic learning bounds for the DR covariate shift adaptation. Our main contributions are two-fold: (\romannumeral 1) We establish \emph{structure-agnostic} high-probability upper bounds on the excess target risk of the DR estimator that depend only on the $L^2$-errors of the pilot estimates and the Rademacher complexity of the model class, without assuming specific procedures to obtain the pilot estimate, and (\romannumeral 2) under \emph{well-specified parameterized models}, we analyze the DR covariate shift adaptation based on modern techniques for non-asymptotic analysis of MLE, whose key terms governed by the Fisher information mismatch term between the source and target distributions. Together, these findings bridge asymptotic efficiency properties and a finite-sample out-of-distribution generalization bounds, providing a comprehensive theoretical underpinnings for the DR covariate shift adaptation.

笔记与分组