论文标题
结构性因果模型之间的抽象:定义和属性的综述
Abstraction between Structural Causal Models: A Review of Definitions and Properties
论文作者
论文摘要
结构性因果模型(SCM)是处理因果系统的广泛形式主义。最近的研究方向考虑了通过定义SCM之间的地图并施加介入介入一致性的要求,以不同水平的抽象水平将SCM相关的问题。本文对迄今为止提出的解决方案进行了审查,重点介绍了SCM之间地图的形式属性,并突出了可以执行这些属性的不同层(结构,分布)。这使我们能够通过选择保证某些属性而不是其他属性来区分可能允许或可能不允许的抽象家庭。这种理解不仅允许在因果抽象的提议中以更高的认识来区分因果抽象的提议,而且还允许根据与特定应用相关的抽象形式定义抽象的定义。
Structural causal models (SCMs) are a widespread formalism to deal with causal systems. A recent direction of research has considered the problem of relating formally SCMs at different levels of abstraction, by defining maps between SCMs and imposing a requirement of interventional consistency. This paper offers a review of the solutions proposed so far, focusing on the formal properties of a map between SCMs, and highlighting the different layers (structural, distributional) at which these properties may be enforced. This allows us to distinguish families of abstractions that may or may not be permitted by choosing to guarantee certain properties instead of others. Such an understanding not only allows to distinguish among proposal for causal abstraction with more awareness, but it also allows to tailor the definition of abstraction with respect to the forms of abstraction relevant to specific applications.