Structural intervention distance for evaluating causal graphs

Jonas Martin Peters, Peter Bühlmann

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

82 Citationer (Scopus)

Abstract

Causal inference relies on the structure of a graph, often a directed acyclic graph (DAG). Different graphs may result in different causal inference statements and different intervention distributions. To quantify such differences, we propose a (pre-)metric between DAGs, the structural intervention distance (SID). The SID is based on a graphical criterion only and quantifies the closeness between two DAGs in terms of their corresponding causal inference statements. It is therefore well suited for evaluating graphs that are used for computing interventions. Instead of DAGs, it is also possible to compare CPDAGs, completed partially DAGs that represent Markov equivalence classes. The SID differs significantly from the widely used structural Hamming distance and therefore constitutes a valuable additional measure. We discuss properties of this distance and provide a (reasonably) efficient implementation with software code available on the first author's home page.

OriginalsprogEngelsk
TidsskriftNeural Computation
Vol/bind27
Udgave nummer3
Sider (fra-til)771-799
Antal sider29
ISSN0899-7667
DOI
StatusUdgivet - mar. 2015
Udgivet eksterntJa

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