Recovering Causal Structures from Low-Order Conditional Independencies

Abstract

One of the common obstacles for learning causal models from data is that high-order conditional independence (CI) relationships between random variables are difficult to estimate. Since CI tests with conditioning sets of low order can be performed accurately even for a small number of observations, a reasonable approach to determine casual structures is to base merely on the low-order CIs. Recent research has confirmed that, e.g. in the case of sparse true causal models, structures learned even from zero- and first-order conditional independencies yield good approximations of the models. However, a challenging task here is to provide methods that faithfully explain a given set of low-order CIs. In this paper, we propose an algorithm which, for a given set of conditional independencies of order less or equal to k, where k is a small fixed number, computes a faithful graphical representation of the given set. Our results complete and generalize the previous work on learning from pairwise marginal independencies. Moreover, they enable to improve upon the 0-1 graph model which, e.g. is heavily used in the estimation of genome networks.
Original languageEnglish
Pages10302-10309
Number of pages8
DOIs
Publication statusPublished - 03.04.2020
EventThe Thirty-Fourth AAAI Conference on Artificial Intelligence - New York, United States
Duration: 07.02.202012.02.2020

Conference

ConferenceThe Thirty-Fourth AAAI Conference on Artificial Intelligence
Abbreviated titleAAAI-20
Country/TerritoryUnited States
CityNew York
Period07.02.2012.02.20

DFG Research Classification Scheme

  • 409-01 Theoretical Computer Science

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