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Trace Formula Analysis of Graphs.
- Source :
- Structural, Syntactic & Statistical Pattern Recognition; 2006, p306-313, 8p
- Publication Year :
- 2006
-
Abstract
- In this paper, we explore how the trace of the heat kernel can be used to characterise graphs for the purposes of measuring similarity and clustering. The heat-kernel is the solution of the heat-equation and may be computed by exponentiating the Laplacian eigensystem with time. To characterise the shape of the heat-kernel trace we use the zeta-function, which is found by exponentiating and summing the reciprocals of the Laplacian eigenvalues. From the Mellin transform, it follows that the zeta-function is the moment generating function of the heat-kernel trace. We explore the use of the heat-kernel moments as a means of characterising graph structure for the purposes of clustering. Experiments with the COIL and Oxford-Caltech databases reveal the effectiveness of the representation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISBNs :
- 9783540372363
- Database :
- Complementary Index
- Journal :
- Structural, Syntactic & Statistical Pattern Recognition
- Publication Type :
- Book
- Accession number :
- 32910331
- Full Text :
- https://doi.org/10.1007/11815921_33