论文标题

非二进制治疗和效果的单位选择

Unit Selection with Nonbinary Treatment and Effect

论文作者

Li, Ang, Pearl, Judea

论文摘要

单位选择问题旨在确定一组最有可能表现出所需的行为方式的个人,例如,选择一个如果鼓励的话会以一种方式做出反应的人,如果不鼓励,则会以不同的方式做出反应。 LI和Pearl结合了实验数据和观察数据,在“福利函数”上得出了紧密的界限,这是与选择具有给定特征的个人相关的回报/成本。本文将收益函数扩展到一般形式,因此治疗和效果不限于二进制。我们提出了一种算法来测试非二进制益处函数的可识别性和一种算法,以使用实验和观察数据来计算非二进制益处函数的边界。

The unit selection problem aims to identify a set of individuals who are most likely to exhibit a desired mode of behavior, for example, selecting individuals who would respond one way if encouraged and a different way if not encouraged. Using a combination of experimental and observational data, Li and Pearl derived tight bounds on the "benefit function", which is the payoff/cost associated with selecting an individual with given characteristics. This paper extends the benefit function to the general form such that the treatment and effect are not restricted to binary. We propose an algorithm to test the identifiability of the nonbinary benefit function and an algorithm to compute the bounds of the nonbinary benefit function using experimental and observational data.

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