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A graph kernel from the depth-based representation

  • Lu Bai
  • , Peng Ren
  • , Xiao Bai
  • , Edwin R. Hancock

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper we develop a novel graph kernel by matching the depth-based substructures in graphs. We commence by describing how to compute the Shannon entropy of a graph using random walks. We then develop an h-layer depth-based representations for a graph, which is effected by measuring the Shannon entropies of a family of K-layer expansion subgraphs derived from a vertex of the graph. The depth-based representations characterize graphs in terms of high dimensional depth-based complexity information. Based on the new representation, we establish a possible correspondence between vertices of two graphs that allows us to construct a matching-based graph kernel. Experiments on graphs from computer vision datasets demonstrate the effectiveness of our kernel.

Original languageEnglish
Title of host publicationStructural, Syntactic, and Statistical Pattern Recognition - Joint IAPR International Workshop, S+SSPR 2014, Proceedings
PublisherSpringer Verlag
Pages1-11
Number of pages11
ISBN (Print)9783662444146
DOIs
StatePublished - 2014
EventJoint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition, S+SSPR 2014 - Joensuu, Finland
Duration: 20 Aug 201422 Aug 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8621 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceJoint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition, S+SSPR 2014
Country/TerritoryFinland
CityJoensuu
Period20/08/1422/08/14

Keywords

  • Depth-based representation
  • graph kernels
  • graph matching

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