论文标题
对Wang和Blei的“多种原因的祝福”的反例
Counterexamples to "The Blessings of Multiple Causes" by Wang and Blei
论文作者
论文摘要
该注释已更新（2020年4月），以响应Yixin Wang，David M. Blei（Arxiv：2003.04948）的“澄清Deconfrounder的理论”。该原始注释于2020年1月发布，旨在补充我们先前对Wang and Blei（2019）的“多种原因的祝福”评论。我们提供了一个更简洁，更透明的解释，即解污染器无法控制多起因混淆。 Wang and Blei（2019）中给出的论点犯了两个错误：（1）试图推断独立性从独立性的有条件的条件下，在一个不同的，无关的变量上有条件，以及（2）试图推断关节独立性从成对独立性。我们为Deconfromer主张提供了两个简单的反例。
This note has been updated (April, 2020) to respond to "Towards Clarifying the Theory of the Deconfounder" by Yixin Wang, David M. Blei (arXiv:2003.04948). This original note, posted in January, 2020, is meant to complement our previous comment on "The Blessings of Multiple Causes" by Wang and Blei (2019). We provide a more succinct and transparent explanation of the fact that the deconfounder does not control for multi-cause confounding. The argument given in Wang and Blei (2019) makes two mistakes: (1) attempting to infer independence conditional on one variable from independence conditional on a different, unrelated variable, and (2) attempting to infer joint independence from pairwise independence. We give two simple counterexamples to the deconfounder claim.
