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分类依据与纠错

AI 根据所提供的论文材料归类:摘要明确涉及因果效应估计,并统一协变量平衡、TMLE 与正交得分方法。

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代码、数据与补充材料

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关注这篇论文的作者
Masahiro Kato

通过最小化 Bregman 散度实现直接去偏机器学习

研究问题
如何直接联合估计回归函数与 Riesz 表示元,减少机器学习首阶段偏差,并统一去偏、协变量平衡和目标化估计方法?
方法与思路
作者最小化已知与未知干扰参数下 Neyman 正交得分的 Bregman 散度,构造目标化估计、广义 Riesz 回归及端到端算法。
材料陈述的贡献
摘要称,平方损失对应 Riesz 回归,KL 散度对应熵平衡,回归估计包含 TMLE 特例,特定模型配对还能自动产生协变量平衡。
阅读关注点
应核对联合目标的可计算形式、损失与模型配对条件,以及端到端训练能否满足正交性要求、如何获得有效统计推断。
阅读边界
这是 arXiv 预印本,同行评审及期刊接收未核实;摘要未给出完整收敛条件或性能比较,不能将方法统一理解为普遍效率提升。

原文摘要

We develop a direct debiased machine learning framework comprising Neyman targeted estimation and generalized Riesz regression. Our framework unifies Riesz regression for automatic debiased machine learning, covariate balancing, targeted maximum likelihood estimation (TMLE), and density-ratio estimation. In many problems involving causal effects or structural models, the parameters of interest depend on regression functions. Plugging regression functions estimated by machine learning methods into the identifying equations can yield poor performance because of first-stage bias. To reduce such bias, debiased machine learning employs Neyman orthogonal estimating equations. Debiased machine learning typically requires estimation of the Riesz representer and the regression function. For this problem, we develop a direct debiased machine learning framework with an end-to-end algorithm. We formulate estimation of the nuisance parameters, the regression function and the Riesz representer, as minimizing the discrepancy between Neyman orthogonal scores computed with known and unknown nuisance parameters, which we refer to as Neyman targeted estimation. Neyman targeted estimation includes Riesz representer estimation, and we measure discrepancies using the Bregman divergence. The Bregman divergence encompasses various loss functions as special cases, where the squared loss yields Riesz regression and the Kullback-Leibler divergence yields entropy balancing. We refer to this Riesz representer estimation as generalized Riesz regression. Neyman targeted estimation also yields TMLE as a special case for regression function estimation. Furthermore, for specific pairs of models and Riesz representer estimation methods, we can automatically obtain the covariate balancing property without explicitly solving the covariate balancing objective.

笔记与分组