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Erschienen in: Soft Computing 2/2014

01.02.2014 | Methodologies and Application

A Granular Computing approach to the design of optimized graph classification systems

verfasst von: Filippo Maria Bianchi, Lorenzo Livi, Antonello Rizzi, Alireza Sadeghian

Erschienen in: Soft Computing | Ausgabe 2/2014

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Abstract

Research on Graph-based pattern recognition and Soft Computing systems has attracted many scientists and engineers in several different contexts. This fact is motivated by the reason that graphs are general structures able to encode both topological and semantic information in data. While the data modeling properties of graphs are of indisputable power, there are still different concerns about the best way to compute similarity functions in an effective and efficient manner. To this end, suited transformation procedures are usually conceived to address the well-known Inexact Graph Matching problem in an explicit embedding space. In this paper, we propose two graph embedding algorithms based on the Granular Computing paradigm, which are engineered as key procedures of a general-purpose graph classification system. Tests have been conducted on benchmarking datasets relying on both synthetic and real-world data, achieving competitive results in terms of test set classification accuracy.

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Literatur
Zurück zum Zitat Bargiela A, Pedrycz W (2003) Granular Computing: an introduction. Number v. 2002 in Kluwer international series in engineering and computer science. Kluwer, London. ISBN 9781402072734 Bargiela A, Pedrycz W (2003) Granular Computing: an introduction. Number v. 2002 in Kluwer international series in engineering and computer science. Kluwer, London. ISBN 9781402072734
Zurück zum Zitat Batista L, Granger E, Sabourin R (2010) Applying dissimilarity representation to off-line signature verification. In: Proceedings of the 2010 20th international conference on pattern recognition, ICPR ’10. IEEE Computer Society, Washington, DC, pp 1293–1297. doi:10.1109/ICPR.2010.322. ISBN 978-0-7695-4109-9 Batista L, Granger E, Sabourin R (2010) Applying dissimilarity representation to off-line signature verification. In: Proceedings of the 2010 20th international conference on pattern recognition, ICPR ’10. IEEE Computer Society, Washington, DC, pp 1293–1297. doi:10.​1109/​ICPR.​2010.​322. ISBN 978-0-7695-4109-9
Zurück zum Zitat Bello R, Falcón R, Pedrycz W, Kacprzyk J (2008) Granular Computing: at the junction of rough sets and fuzzy sets. Studies in Fuzziness and Soft Computing. Springer, Berlin. ISBN 9783540769729 Bello R, Falcón R, Pedrycz W, Kacprzyk J (2008) Granular Computing: at the junction of rough sets and fuzzy sets. Studies in Fuzziness and Soft Computing. Springer, Berlin. ISBN 9783540769729
Zurück zum Zitat Borgwardt KM, Ong CS, Schönauer S, Vishwanathan SVN, Smola AJ, Kriegel H-P (2005) Protein function prediction via graph kernels. Bioinformatics 21:47–56. doi:10.1093/bioinformatics. ISSN 1367-4803 Borgwardt KM, Ong CS, Schönauer S, Vishwanathan SVN, Smola AJ, Kriegel H-P (2005) Protein function prediction via graph kernels. Bioinformatics 21:47–56. doi:10.​1093/​bioinformatics. ISSN 1367-4803
Zurück zum Zitat Carli A, Castellani U, Bicego M, Murino V (2010) Dissimilarity-based representation for local parts. In: Workshop on cognitive information processing, pp 299–303. June. ISBN 978-1-4244-6457-9 Carli A, Castellani U, Bicego M, Murino V (2010) Dissimilarity-based representation for local parts. In: Workshop on cognitive information processing, pp 299–303. June. ISBN 978-1-4244-6457-9
Zurück zum Zitat Carli A, Figueiredo MAT, Bicego M, Murino V (2012) Generative embeddings based on Rician mixtures: application to kernel-based discriminative classification of magnetic resonance images. In: Proceedings of the first international conference on pattern recognition applications and methods 2012, vol 1, pp 113–122 Carli A, Figueiredo MAT, Bicego M, Murino V (2012) Generative embeddings based on Rician mixtures: application to kernel-based discriminative classification of magnetic resonance images. In: Proceedings of the first international conference on pattern recognition applications and methods 2012, vol 1, pp 113–122
Zurück zum Zitat Cinti A, Rizzi A (2011) Neurofuzzy min-max networks implementation on FPGA. In: International joint conference on computational intalligence (IJCCI). Neural Comput Theories Anal. ISBN 978-989-8425-84-3 Cinti A, Rizzi A (2011) Neurofuzzy min-max networks implementation on FPGA. In: International joint conference on computational intalligence (IJCCI). Neural Comput Theories Anal. ISBN 978-989-8425-84-3
Zurück zum Zitat Del Vescovo G, Rizzi A (2007a) Automatic classification of graphs by symbolic histograms. In: Proceedings of the 2007 IEEE international conference on granular computing, GRC ’07. IEEE Computer Society, pp 410–416. doi:10.1109/GRC.2007.46. ISBN 0-7695-3032-X Del Vescovo G, Rizzi A (2007a) Automatic classification of graphs by symbolic histograms. In: Proceedings of the 2007 IEEE international conference on granular computing, GRC ’07. IEEE Computer Society, pp 410–416. doi:10.​1109/​GRC.​2007.​46. ISBN 0-7695-3032-X
Zurück zum Zitat Del Vescovo G, Rizzi A (2007b) Online handwriting recognition by the symbolic histograms approach. In: Proceedings of the 2007 IEEE international conference on granular computing, GRC ’07. IEEE Computer Society, Washington, DC, pp 686–700. doi:10.1109/GRC.2007.116. ISBN 0-7695-3032-X Del Vescovo G, Rizzi A (2007b) Online handwriting recognition by the symbolic histograms approach. In: Proceedings of the 2007 IEEE international conference on granular computing, GRC ’07. IEEE Computer Society, Washington, DC, pp 686–700. doi:10.​1109/​GRC.​2007.​116. ISBN 0-7695-3032-X
Zurück zum Zitat Del Vescovo G, Livi L, Rizzi A, Frattale Mascioli FM (2011) Clustering structured data with the SPARE library. In: Proceedings of 2011 4th IEEE international conference on computer science and information technology, vol 9, pp 413–417. ISBN 978-1-61284-834-1 Del Vescovo G, Livi L, Rizzi A, Frattale Mascioli FM (2011) Clustering structured data with the SPARE library. In: Proceedings of 2011 4th IEEE international conference on computer science and information technology, vol 9, pp 413–417. ISBN 978-1-61284-834-1
Zurück zum Zitat Escolano F, Bonev B, Lozano M (2011) Information-geometric graph indexing from bags of partial node coverages. In: Jiang X, Ferrer M, Torsello A (eds) Graph-based representations in pattern recognition, volume 6658 of LNCS. Springer Berlin, pp 52–61. doi:10.1007/978-3-642-20844-7_6. ISBN 978-3-642-20843-0. Escolano F, Bonev B, Lozano M (2011) Information-geometric graph indexing from bags of partial node coverages. In: Jiang X, Ferrer M, Torsello A (eds) Graph-based representations in pattern recognition, volume 6658 of LNCS. Springer Berlin, pp 52–61. doi:10.​1007/​978-3-642-20844-7_​6. ISBN 978-3-642-20843-0.
Zurück zum Zitat Fankhauser S, Riesen K, Bunke H (2011) Speeding up graph edit distance computation through fast bipartite matching. In: Jiang X, Ferrer M, Torsello A (eds) Graph-based representations in pattern recognition, volume 6658 of LNCS. Springer Berlin, pp 102–111. doi:10.1007/978-3-642-20844-7_11. ISBN 978-3-642-20843-0 Fankhauser S, Riesen K, Bunke H (2011) Speeding up graph edit distance computation through fast bipartite matching. In: Jiang X, Ferrer M, Torsello A (eds) Graph-based representations in pattern recognition, volume 6658 of LNCS. Springer Berlin, pp 102–111. doi:10.​1007/​978-3-642-20844-7_​11. ISBN 978-3-642-20843-0
Zurück zum Zitat Gärtner T (2008) Kernels for structured data. Number v. 72 in Kernels For Structured Data. World Scientific, Singapore. ISBN 9789812814555 Gärtner T (2008) Kernels for structured data. Number v. 72 in Kernels For Structured Data. World Scientific, Singapore. ISBN 9789812814555
Zurück zum Zitat Gibert J, Valveny E, Bunke H (2011) Dimensionality reduction for graph of words embedding. In: Jiang X, Ferrer M, Torsello A, (eds) Graph-based representations in pattern recognition, volume 6658 of LNCS. Springer, Berlin, pp 22–31. doi:10.1007/978-3-642-20844-7_3. ISBN 978-3-642-20843-0 Gibert J, Valveny E, Bunke H (2011) Dimensionality reduction for graph of words embedding. In: Jiang X, Ferrer M, Torsello A, (eds) Graph-based representations in pattern recognition, volume 6658 of LNCS. Springer, Berlin, pp 22–31. doi:10.​1007/​978-3-642-20844-7_​3. ISBN 978-3-642-20843-0
Zurück zum Zitat Jain B, Obermayer K (2011) Maximum likelihood for gaussians on graphs. In: Jiang X, Ferrer M, Torsello A (eds) Graph-based representations in pattern recognition, volume 6658 of LNCS. Springer, Berlin, pp 62–71. doi:10.1007/978-3-642-20844-7_7. ISBN 978-3-642-20843-0 Jain B, Obermayer K (2011) Maximum likelihood for gaussians on graphs. In: Jiang X, Ferrer M, Torsello A (eds) Graph-based representations in pattern recognition, volume 6658 of LNCS. Springer, Berlin, pp 62–71. doi:10.​1007/​978-3-642-20844-7_​7. ISBN 978-3-642-20843-0
Zurück zum Zitat Jain BJ, Srinivasan SD, Tissen A, Obermayer K (2010) Learning graph quantization. In: Proceedings of the 2010 joint IAPR international conference on structural, syntactic, and statistical pattern recognition, SSPR&SPR’10. Springer, Berlin, pp 109–118. ISBN 3-642-14979-0, 978-3-642-14979-5 Jain BJ, Srinivasan SD, Tissen A, Obermayer K (2010) Learning graph quantization. In: Proceedings of the 2010 joint IAPR international conference on structural, syntactic, and statistical pattern recognition, SSPR&SPR’10. Springer, Berlin, pp 109–118. ISBN 3-642-14979-0, 978-3-642-14979-5
Zurück zum Zitat Kashima H, Tsuda K, Inokuchi A (2003) Marginalized kernels between labeled graphs. In: Proceedings of the twentieth international conference on machine learning. AAAI Press, pp 321–328 Kashima H, Tsuda K, Inokuchi A (2003) Marginalized kernels between labeled graphs. In: Proceedings of the twentieth international conference on machine learning. AAAI Press, pp 321–328
Zurück zum Zitat Livi L, Rizzi A (2012) Parallel algorithms for tensor product-based Inexact Graph Matching. In: Proceedings of the 2012 international joint conference on neural networks (IJCNN). IEEE, Berlin, pp 2276–2283. June. doi:10.1109/IJCNN.2012.6252681. ISBN 978-1-4673-1489-3 Livi L, Rizzi A (2012) Parallel algorithms for tensor product-based Inexact Graph Matching. In: Proceedings of the 2012 international joint conference on neural networks (IJCNN). IEEE, Berlin, pp 2276–2283. June. doi:10.​1109/​IJCNN.​2012.​6252681. ISBN 978-1-4673-1489-3
Zurück zum Zitat Livi L, Del Vescovo G, Rizzi A (2012a) Graph recognition by seriation and frequent substructures mining. In: Proceedings of the first international conference on pattern recognition applications and methods, vol 1, pp 186–191, Feb. doi:10.5220/0003733201860191. ISBN 978-989-8425-98-0 Livi L, Del Vescovo G, Rizzi A (2012a) Graph recognition by seriation and frequent substructures mining. In: Proceedings of the first international conference on pattern recognition applications and methods, vol 1, pp 186–191, Feb. doi:10.​5220/​0003733201860191​. ISBN 978-989-8425-98-0
Zurück zum Zitat Livi L, Del Vescovo G, Rizzi A (2012b) Inexact Graph Matching through graph coverage. In: Proceedings of the first international conference on pattern recognition applications and methods, vol 1, pp 269–272, Feb. doi:10.5220/0003732802690272. ISBN 978-989-8425-98-0 Livi L, Del Vescovo G, Rizzi A (2012b) Inexact Graph Matching through graph coverage. In: Proceedings of the first international conference on pattern recognition applications and methods, vol 1, pp 269–272, Feb. doi:10.​5220/​0003732802690272​. ISBN 978-989-8425-98-0
Zurück zum Zitat Martins AFT, Smith NA, Xing EP, Aguiar PMQ, Figueiredo MAT (2009) Nonextensive information theoretic kernels on measures. J Mach Learn Res 10:935–975. ISSN 1532-4435 Martins AFT, Smith NA, Xing EP, Aguiar PMQ, Figueiredo MAT (2009) Nonextensive information theoretic kernels on measures. J Mach Learn Res 10:935–975. ISSN 1532-4435
Zurück zum Zitat Neuhaus M, Bunke H (2007) Bridging the gap between graph edit distance and kernel machines. Series in machine perception and artificial intelligence. World Scientific, Singapore. ISBN 9789812708175 Neuhaus M, Bunke H (2007) Bridging the gap between graph edit distance and kernel machines. Series in machine perception and artificial intelligence. World Scientific, Singapore. ISBN 9789812708175
Zurück zum Zitat Neuhaus M, Riesen K, Bunke H (2006) Fast suboptimal algorithms for the computation of graph edit distance. In: Structural, syntactic, and statistical pattern recognition. LNCS. Springer, Berlin, pp 163–172 Neuhaus M, Riesen K, Bunke H (2006) Fast suboptimal algorithms for the computation of graph edit distance. In: Structural, syntactic, and statistical pattern recognition. LNCS. Springer, Berlin, pp 163–172
Zurück zum Zitat Pekalska E, Duin R (2005) The dissimilarity representation for pattern recognition: foundations and applications. Series in machine perception and artificial intelligence. World Scientific, Singapore. ISBN 9789812565303 Pekalska E, Duin R (2005) The dissimilarity representation for pattern recognition: foundations and applications. Series in machine perception and artificial intelligence. World Scientific, Singapore. ISBN 9789812565303
Zurück zum Zitat Pedrycz W (2010) Human centricity in computing with fuzzy sets: an interpretability quest for higher order granular constructs. J Ambient Intell Human Comput 1:65–74. doi:10.1007/s12652-009-0008-0. ISSN 1868-5137 Pedrycz W (2010) Human centricity in computing with fuzzy sets: an interpretability quest for higher order granular constructs. J Ambient Intell Human Comput 1:65–74. doi:10.​1007/​s12652-009-0008-0. ISSN 1868-5137
Zurück zum Zitat Príncipe JC (2010) Information theoretic learning: Renyi’s entropy and Kernel perspectives. Information Science and Statistics. Springer, Berlin. ISBN 9781441915696 Príncipe JC (2010) Information theoretic learning: Renyi’s entropy and Kernel perspectives. Information Science and Statistics. Springer, Berlin. ISBN 9781441915696
Zurück zum Zitat Riesen K, Bunke H (2008) IAM graph database repository for graph based pattern recognition and machine learning. In: Proceedings of the 2008 joint IAPR international workshop on structural, syntactic, and statistical pattern recognition, SSPR & SPR ’08. Springer, Berlin, pp 287–297. doi:10.1007/978-3-540-89689-0_33. ISBN 978-3-540-89688-3 Riesen K, Bunke H (2008) IAM graph database repository for graph based pattern recognition and machine learning. In: Proceedings of the 2008 joint IAPR international workshop on structural, syntactic, and statistical pattern recognition, SSPR & SPR ’08. Springer, Berlin, pp 287–297. doi:10.​1007/​978-3-540-89689-0_​33. ISBN 978-3-540-89688-3
Zurück zum Zitat Riesen K, Bunke H (2010) Graph classification and clustering based on vector space embedding. Series in Machine Perception and Artificial Intelligence. World Scientific Pub Co Inc, Singapore. ISBN 9789814304719 Riesen K, Bunke H (2010) Graph classification and clustering based on vector space embedding. Series in Machine Perception and Artificial Intelligence. World Scientific Pub Co Inc, Singapore. ISBN 9789814304719
Zurück zum Zitat Rizzi A, Del Vescovo G (2006) Automatic image classification by a granular computing approach. In: Proceedings of the 2006 16th IEEE signal processing society workshop on machine learning for signal processing, pp 33–38. doi:10.1109/MLSP.2006.275517 Rizzi A, Del Vescovo G (2006) Automatic image classification by a granular computing approach. In: Proceedings of the 2006 16th IEEE signal processing society workshop on machine learning for signal processing, pp 33–38. doi:10.​1109/​MLSP.​2006.​275517
Zurück zum Zitat Rizzi A, Panella M, Frattale Mascioli FM (2002) Adaptive resolution min-max classifiers. IEEE Trans Neural Netw 13:402–414. ISSN 1045-9227 Rizzi A, Panella M, Frattale Mascioli FM (2002) Adaptive resolution min-max classifiers. IEEE Trans Neural Netw 13:402–414. ISSN 1045-9227
Zurück zum Zitat Robles-Kelly A, Hancock ER (2005) Graph edit distance from spectral seriation. IEEE Trans Pattern Anal Mach Intell 27:365–378. doi:10.1109/TPAMI.2005.56. ISSN 0162-8828 Robles-Kelly A, Hancock ER (2005) Graph edit distance from spectral seriation. IEEE Trans Pattern Anal Mach Intell 27:365–378. doi:10.​1109/​TPAMI.​2005.​56. ISSN 0162-8828
Zurück zum Zitat Robles-Kelly A, Hancock ER (2007) A Riemannian approach to graph embedding. Pattern Recognit 40(3):1042–1056CrossRefMATH Robles-Kelly A, Hancock ER (2007) A Riemannian approach to graph embedding. Pattern Recognit 40(3):1042–1056CrossRefMATH
Zurück zum Zitat Sakoe H (1978) Dynamic programming algorithm optimization for spoken word recognition. IEEE Trans Acoust Speech Signal Process 26:43–49CrossRefMATH Sakoe H (1978) Dynamic programming algorithm optimization for spoken word recognition. IEEE Trans Acoust Speech Signal Process 26:43–49CrossRefMATH
Zurück zum Zitat Schölkopf B, Smola A (2002) Learning with kernels: support vector machines, regularization, optimization, and beyond. Adaptive computation and machine learning. MIT Press. ISBN 9780262194754 Schölkopf B, Smola A (2002) Learning with kernels: support vector machines, regularization, optimization, and beyond. Adaptive computation and machine learning. MIT Press. ISBN 9780262194754
Zurück zum Zitat Theodoridis S, Koutroumbas K (2006) Pattern recognition. Elsevier/Academic Press. ISBN 9780123695314 Theodoridis S, Koutroumbas K (2006) Pattern recognition. Elsevier/Academic Press. ISBN 9780123695314
Zurück zum Zitat Tun K, Dhar P, Palumbo M, Giuliani A (2006) Metabolic pathways variability and sequence/networks comparisons. BMC Bioinform 7(1):24. doi:10.1186/1471-2105-7-24. ISSN 1471-2105 Tun K, Dhar P, Palumbo M, Giuliani A (2006) Metabolic pathways variability and sequence/networks comparisons. BMC Bioinform 7(1):24. doi:10.​1186/​1471-2105-7-24. ISSN 1471-2105
Zurück zum Zitat Yu H, Hancock ER (2006) String Kernels for matching seriated graphs. In: Proceedings of the 18th international conference on pattern recognition, volume 4 of ICPR ’06, IEEE Computer Society, Washington, DC, pp 224–228. doi:10.1109/ICPR.2006.1081. ISBN 0-7695-2521-0 Yu H, Hancock ER (2006) String Kernels for matching seriated graphs. In: Proceedings of the 18th international conference on pattern recognition, volume 4 of ICPR ’06, IEEE Computer Society, Washington, DC, pp 224–228. doi:10.​1109/​ICPR.​2006.​1081. ISBN 0-7695-2521-0
Metadaten
Titel
A Granular Computing approach to the design of optimized graph classification systems
verfasst von
Filippo Maria Bianchi
Lorenzo Livi
Antonello Rizzi
Alireza Sadeghian
Publikationsdatum
01.02.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 2/2014
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-013-1065-z

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