Title
Learning the Structure of Linear Latent Variable Models
Abstract
We describe anytime search procedures that (1) find disjoint subsets of recorded variables for which the members of each subset are d-separated by a single common unrecorded cause, if such exists; (2) return information about the causal relations among the latent factors so identified. We prove the procedure is point-wise consistent assuming (a) the causal relations can be represented by a directed acyclic graph (DAG) satisfying the Markov Assumption and the Faithfulness Assumption; (b) unrecorded variables are not caused by recorded variables; and (c) dependencies are linear. We compare the procedure with standard approaches over a variety of simulated structures and sample sizes, and illustrate its practical value with brief studies of social science data sets. Finally, we consider generalizations for non-linear systems.
Year
DOI
Venue
2006
10.5555/1248547.1248555
Journal of Machine Learning Research
Keywords
Field
DocType
markov assumption,causality,causal relation,brief study,latent variable models,faithfulness assumption,recorded variable,unrecorded variable,single common unrecorded cause,graphical models,acyclic graph,disjoint subsets,latent factor,linear latent variable models,social science,latent variable model,graphical model,satisfiability,sample size,directed acyclic graph
Combinatorics,Disjoint sets,Markov property,Latent variable model,Latent class model,Directed acyclic graph,Latent variable,Artificial intelligence,Local independence,Graphical model,Mathematics,Machine learning
Journal
Volume
ISSN
Citations 
7,
1532-4435
55
PageRank 
References 
Authors
5.69
7
4
Name
Order
Citations
PageRank
Ricardo Bezerra de Andrade e Silva110924.56
Richard Scheines225637.19
Clark Glymour346882.20
Peter Spirtes4616101.07