Authors:
Taiga Kawaguchi
and
Kouichi Hirata
Affiliation:
Kyushu Institute of Technology, Japan
Keyword(s):
Earth Mover’S Distance, Rooted Labeled Unordered Tree, Tai Mapping Hierarchy, Tree Edit Distance.
Related
Ontology
Subjects/Areas/Topics:
Applications
;
Data Engineering
;
Information Retrieval
;
Ontologies and the Semantic Web
;
Pattern Recognition
;
Similarity and Distance Learning
;
Software Engineering
;
Theory and Methods
Abstract:
In this paper, we introduce earth mover’s distances (EMDs, for short) for rooted labeled trees based on Tai
mapping hierarchy. First, by focusing on the restricted mappings in the Tai mapping hierarchy providing the
tractable variations of the tree edit distance, we formulate the EMDs whose signatures are all of the pairs of a
complete subtree and its frequency and whose ground distances are the tractable variations. Then, we compare
the EMDs with their ground distances, which are tractable variations.