The representative individuals approach to fair machine learning

Clinton Castro, Michele Loi
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Abstract

The demands of fair machine learning are often expressed in probabilistic terms. Yet, most of the systems of concern are deterministic in the sense that whether a given subject will receive a given score on the basis of their traits is, for all intents and purposes, either zero or one. What, then, can justify this probabilistic talk? We argue that the statistical reference classes used in fairness measures can be understood as defining the probability that hypothetical persons, who are representative of social roles, will receive certain goods. We call these hypothetical persons “representative individuals.” We claim that what we owe to actual, concrete individuals—whose individual chances of receiving the good in the system might be extreme (i.e., either zero or one)—is that their representative individual has an appropriate probability of receiving the good in question. While less immediately intuitive than other approaches, we argue that the representative individual approach has important advantages over other ways of making sense of this probabilistic talk in the context of fair machine learning.

公平机器学习的代表性个体方法
公平机器学习的要求通常用概率术语来表达。然而,大多数关注系统在某种意义上是确定性的,即给定的受试者是否会根据他们的特征得到给定的分数,出于所有的意图和目的,要么是零,要么是一。那么,什么能证明这种概率论的合理性呢?我们认为,公平衡量中使用的统计参考类别可以被理解为定义代表社会角色的假设人将获得某些商品的概率。我们称这些假想的人为“代表个体”。我们声称,我们对实际的、具体的个人的亏欠——他们在系统中获得商品的个人机会可能是极端的(即,要么为零,要么为一)——是他们的代表个人有一个适当的获得所讨论的商品的概率。虽然不像其他方法那样直接直观,但我们认为,在公平机器学习的背景下,代表性个体方法比其他方法具有重要的优势,可以理解这种概率谈话。
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