Title
Learning Bayesian Network Structure from Correlation-Immune Data
Abstract
Searching the complete space of possible Bayesian networks is intractable for problems of interesting size, so Bayesian network structure learning algorithms, such as the commonly used Sparse Candidate algorithm, employ heuristics. However, these heuristics also restrict the types of relationships that can be learned exclusively from data. They are unable to learn relationships that exhibit "correlation-immunity", such as parity. To learn Bayesian networks in the presence of correlation-immune relationships, we extend the Sparse Candidate algorithm with a technique called "skewing". This technique uses the observation that relationships that are correlation-immune under a specific input distribution may not be correlation-immune under another, sufficiently different distribution. We show that by extending Sparse Candidate with this technique we are able to discover relationships between random variables that are approximately correlation-immune, with a significantly lower computational cost than the alternative of considering multiple parents of a node at a time.
Year
DOI
Venue
2007
abs/10.5555/3020488.3020517
UAI
DocType
Volume
Citations 
Conference
abs/1206.5271
0
PageRank 
References 
Authors
0.34
4
3
Name
Order
Citations
PageRank
Eric Lantz100.34
Soumya Ray21104.98
David Page353361.12