Learning to disentangle and represent factors of variation in data is an important problem in AI. While many advances are made to learn these representations, it is still unclear how to quantify disentanglement. Several metrics exist, however little is known on their implicit assumptions, what they truly measure and their limits. As a result, it is difficult to interpret results when comparing different representations. In this work, we survey supervised disentanglement metrics and thoroughly analyze them. We propose a new taxonomy in which all metrics fall into one of three families: intervention-based, predictor-based and information-based. We conduct extensive experiments, where we isolate representation properties to compare all metrics on many aspects. From experiment results and analysis, we provide insights on relations between disentangled representation properties. Finally, we provide guidelines on how to measure disentanglement and report the results.

本文综述了学习因素分离和表示在人工智能中的重要性，提出了影响因素分离度量的三个家族，即基于干预、基于预测和基于信息的，通过实验和分析揭示了具有因素分离特性的表示的属性之间的关系，并提供了衡量因素分离的指导方针。

度量解缠性: 指标综述