Kernels for acyclic digraphs

Pattern Recognition Letters

Volumn 33, Issue 16, 2012, Pages 2239-2244

  Elzinga, Cees H ^a   Wang, Hui ^b,c  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

^b UNIVERSITY OF ULSTER   (United Kingdom)

^c Inner Mongolia Univ Nationalities   (China)

Author keywords

Directed graph; Graph kernel; Graph minors; Graph similarity; Path and cycle in graphs; Pattern recognition

Indexed keywords

ACYCLIC DIGRAPH; ALGORITHMIC COMPLEXITY; COMMON PATH; GRAPH KERNELS; GRAPH MINORS; GRAPH SIMILARITY; PATH AND CYCLE IN GRAPHS; PATH LENGTH; SYNTHETIC AND REAL DATA;

PATTERN RECOGNITION;

DIRECTED GRAPHS;

EID: 84866544598     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patrec.2012.07.017     Document Type: Article

References (45)

1. R. Bapat Graphs and Matrices 2011 Springer/Hindustan Book Agency New York/New Delhi
2. D.A. Baum Concordance trees, concordance factors, and the exploration of reticulate genealogy Taxon 56 2 2007 417 426 (Pubitemid 47025837)
3. Bernstein, A.; Kaufmann, E.; Kiefer, C.; Bürki, C.; 2005. SimPack: A Generic Java Library for Similarity Measures in Ontologies. Technical Report. Department of Informatics, University of Zurich. .
4. K.M. Borgwardt Kernel methods in bioinformatics H.B.S. Horng-Shing Lu, H. Zhao, Handbook of Statistical Bioinformatics 2011 Springer Berlin (Ch. 15)
5. K.M. Borgwardt, and H.-P. Kriegel Shortest-path kernels on graphs Proceedings of the International Conference on Data Mining (ICDM'05) 2005 IEEE Computer Society Houston, TX 74 81 (Pubitemid 47385679)
6. H. Bunke On a relation between graph edit distance and maximum common subgraph Pattern Recognition Lett. 18 8 1997 669 689
7. H. Bunke, and K. Riesen Recent advances in graph-based pattern recognition with applications in document analysis Pattern Recognition 44 5 2011 1057 1067
8. H. Bunke, and K. Schearer A graph distance metric based on the maximal common subgraph Pattern Recognition Lett. 19 3-4 1998 255 259 (Pubitemid 128383123)
9. D.J. Cook, and L.B. Holder Mining Graph Data 2007 John Wiley Hoboken, NJ
10. T.H. Cormen, C.E. Leiserson, R.L. Rivest, and C. Stein Introduction to Algorithms third ed. 2009 MIT Press Cambridge, MA
11. N. Cristianini, and J. Shawe-Taylor An Introduction to Support Vector Machines and Other Kernel-based Learning Methods 2000 Cambridge University Press Cambridge, UK
12. R. Diestel Graph Theory third ed. 2005 Springer New York, NY
13. C.H. Elzinga, S. Rahmann, and H. Wang Algorithms for subsequence combinatorics Theor. Comput. Sci. 409 2008 394 404
14. C.H. Elzinga, H. Wang, Z. Lin, and Y. Kumar Concordance and consensus Inform. Sci. 181 2011 2529 2549
15. K. Faust, and J. Skvoretz Comparing networks across space and time, size and species Sociol. Methodol. 32 1 2002 267 299
16. M.L. Fernandez, and G. Valiente A graph distance metric combining maximum common subgraph and minimum common supergraph Pattern Recognition Lett. 22 6-7 2001 753 775
17. T. Gärtner, P.A. Flach, and S. Wrobel On graph kernels: Hardness results and efficient alternatives B. Schölkopf, M.K. Warmuth, Proceedings of the Annual Conference on Computational Learning Theory 2003 Springer New York, NY
18. P. Gehler, and S. Nowozin On feature combination for multiclass object classification IEEE 12th International Conference on Computer Vision 2009 IEEE 221 228
19. M. Hattori, Y. Okuno, S. Goto, and M. Kanehisa Development of a chemical structure comparison method for integrated analysis of chemical and genomic information in the metabolic pathways J. Amer. Chem. Soc. 125 2003 11853 11865 (Pubitemid 37175419)
20. Haussler, D.; 1999. Convolution Kernels on Discrete Structures. Tech. Rep. UCSC-CRL-99-10. Department of Computer Science, University of California, Santa Cruz.
21. W. Imrich, S. Klavzar, and D.F. Rall Topics in Graph Theory Graphs and their Cartesian Product 2008 AK Peters Wellesley, MA
22. Jamil, H.; 2011. Computing subgraph isomorphic queries using structural unification and minimum graph structures. In: 26th ACM Symposium on Applied Computing, pp. 1058-1063.
23. T.R. Jensen, and B. Toft Graph Coloring Problems 1994 Wiley New York
24. Applied Graph Theory in Computer Vision and Pattern Recognition A. Kandel, H. Bunke, and M. Last Studies in Computational Intelligence vol. 52 2007 Springer New York
25. Z. Kása On scattered subwords Acta Univ. Sapientiae Inform. 3 2011 127 136
26. Kashima, H.; Tsuda, K.; Inokuchi, A.; 2003. Marginalized kernels between labeled graphs. In: Proceedings of the 20th International Conference on Machine Learning (ICML-2003), Washington DC.
27. Kleinnijenhuis, J.; de Ridder, J.A.; Rietberg, E.; 1997. Reasoning in economic discourse: an application of the network approach to the Dutch press. In: Text Analysis for the Social Sciences: Methods for Drawing Statistical Inferences from Texts and Transcripts, Erlbaum.
28. Z. Lin, H. Wang, and S. McClean Measuring tree similarity for natural language processing based information retrieval Lecture Notes in Computer Science 6177 2010 13 23
29. H. Lodhi, C. Saunders, J. Shawe-Taylor, N. Cristianini, and C. Watkins Text classification using string kernels Journal of Machine Learning Research 2 2002 419 444 (Pubitemid 135712568)
30. Mahé, P.; Ueda, N.; Akutsu, T.; Perret, J.-L.; Vert, J.-P.; 2004. Extensions of marginalised graph kernels. In: Proceedings of the 21st International Conference on Machine Learning, pp. 552-559.
31. B.T. Messmer, and H. Bunke A new algorithm for error-tolerant subgraph isomorphism detection IEEE Trans. Pattern Anal. 20 5 1998 493 504 (Pubitemid 128741329)
32. ++. The Art of Scientific Computing second ed. 2002 Cambridge University Press Cambridge, UK
33. K. Riesen, and H. Bunke IAM graph database repository for graph based pattern recognition and machine learning Proc. 2008 Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition (SSPR & SPR '08) 2008 Springer-Verlag Berlin, Heidelberg 287 297
34. K. Riesen, and H. Bunke Approximate graph edit distance computation by means of bipartite graph matching Image Vision Comput. 27 7 2009 950 959
35. A. Schenker, H. Bunke, M. Last, and A. Kandel Graph-Theoretic Techniques for Web Content Mining 2005 World Scientific
36. J. Shaw-Taylor, and N. Cristianini Kernel Methods for Pattern Analysis 2004 Cambridge University Press Cambridge, UK
37. N. Shervazidze, P. Schweitzer, E.-J. van Leeuwen, K. Mehlhorn, and K.M. Borgwardt Weisfeiler-Lehman graph kernels J. Machine Learn. Res. 1 2010 1 48
38. P. Shvaiko, and J. Euzenat A survey of schema-based matching approaches J. Data Semantics IV. Lect. Notes Comput. Sci. 3730 2005 146 171 (Pubitemid 350227701)
39. V. Sperschneider Bioinformatics, Problem Solving Paradigms 2008 Springer Berlin
40. J.R. Ullman An algorithm for subgraph isomorphism J. ACM 23 1 1976 31 42
41. S.V.N. Vishwanathan, N.N. Schraudolph, R. Kondor, and K.M. Borgwardt Graph kernels J. Machine Learn. Res. 11 2010 1201 1242
42. H. Wang, and Z. Lin A novel algorithm for counting all common subsequences IEEE Conference on Granular Computing 2007 IEEE
43. Weber, M.; Liwicki, M.; Dengel, A.; in press. Faster subgraph isomorphism detection by well-founded total order indexing. Pattern Recognition Lett.
44. E.D. Widmer Family Configurations: A Structural Approach to Family Diversity 2010 Ashgate Farnham
45. S. Wu, Z. Wang, and S. Xia Indexing and retrieval of human motion data by a hierarchical tree Proceedings of the 16th ACM Symposium on Virtual Reality Software and Technology (VRST09) 2009 ACM New York