Title
Communities in Preference Networks: Refined Axioms and Beyond
Abstract
Borgs et al. [2016] investigated essential requirements for communities in preference networks. They defined six axioms on community functions, i.e., community detection rules. Though having elegant properties, the practicality of this axiomsystem is compromised by the intractability of checking twocritical axioms, so no nontrivial consistent community functionwas reported in [Borgs et al., 2016]. By adapting the two axioms in a natural way, we propose two new axioms that are efficiently-checkable. We show that most of the desirable properties of the original axiom system are preserved. More importantly, the new axioms provide a general approach to constructing consistent community functions. We further find a natural consistent community function that is also enumerable and samplable, answering an open problem in the literature.
Year
DOI
Venue
2016
10.1109/ICDM.2016.0071
2016 IEEE 16th International Conference on Data Mining (ICDM)
Keywords
Field
DocType
community,axiomazation,preference network
Data mining,Open problem,Axiom,Computer science,Separation axiom,Armstrong's axioms
Conference
ISSN
ISBN
Citations 
1550-4786
978-1-5090-5474-9
0
PageRank 
References 
Authors
0.34
6
6
Name
Order
Citations
PageRank
Gang Zeng100.34
Yuyi Wang22210.01
Juhua Pu35011.90
Xingwu Liu41912.77
Xiaoming Sun528041.19
Jialin Zhang6307.74