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Generalized graphlet kernels for probabilistic inference in sparse graphs

Published online by Cambridge University Press:  01 August 2014

JOSE LUGO-MARTINEZ  and
PREDRAG RADIVOJAC
JOSE LUGO-MARTINEZ
Affiliation:
Department of Computer Science and Informatics, Indiana University, Bloomington, Indiana 47405, U.S.A. (e-mail: jlugomar@indiana.edu, predrag@indiana.edu)
PREDRAG RADIVOJAC
Affiliation:
Department of Computer Science and Informatics, Indiana University, Bloomington, Indiana 47405, U.S.A. (e-mail: jlugomar@indiana.edu, predrag@indiana.edu)
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Abstract

Graph kernels for learning and inference on sparse graphs have been widely studied. However, the problem of designing robust kernel functions that can effectively compare graph neighborhoods in the presence of noisy and complex data remains less explored. Here we propose a novel graph-based kernel method referred to as an edit distance graphlet kernel. The method was designed to add flexibility in capturing similarities between local graph neighborhoods as a means of probabilistically annotating vertices in sparse and labeled graphs. We report experiments on nine real-life data sets from molecular biology and social sciences and provide evidence that the new kernels perform favorably compared to established approaches. However, when both performance accuracy and run time are considered, we suggest that edit distance kernels are best suited for inference on graphs derived from protein structures. Finally, we demonstrate that the new approach facilitates simple and principled ways of integrating domain knowledge into classification and point out that our methodology extends beyond classification; e.g. to applications such as kernel-based clustering of graphs or approximate motif finding. Availability: www.sourceforge.net/projects/graphletkernels/

Keywords

graph kernelsvertex classificationgraph edit distance
Type
Research Article
Information
Network Science , Volume 2 , Issue 2 , August 2014 , pp. 254 - 276
Copyright
Copyright © Cambridge University Press 2014 

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