Title :
On the Axiomatization of Generalized Entropic Metrics
Author :
Simovici, Dan A.
Author_Institution :
Dept. of Comp. Sci., Univ. of Massachusetts, Boston, MA
Abstract :
Starting from an axiomatization of a generalization of Shannon entropy we introduce a set of axioms for a parametric family of distances over sets of partitions of finite sets. This family includes some well-known metrics used in data mining and in the study of finite functions.
Keywords :
data mining; entropy; set theory; Shannon entropy; data mining; finite functions; finite sets; generalized entropic metric axiomatization; Bipartite graph; Bismuth; Data mining; Entropy; Kernel; Lattices; Random variables;
Conference_Titel :
Multiple-Valued Logic, 2007. ISMVL 2007. 37th International Symposium on
Conference_Location :
Oslo
Print_ISBN :
0-7695-2831-7
DOI :
10.1109/ISMVL.2007.40
