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Toward a Better Integration of Spatial Relations in Learning with Graphical Models

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Book cover Advances in Knowledge Discovery and Management

Part of the book series: Studies in Computational Intelligence ((SCI,volume 292))

Abstract

This paper deals with structural representations of images for machine learning and image categorization. The representation consists of a graph where vertices represent image regions and edges spatial relations between them. Both vertices and edges are attributed. The method is based on graph kernels, in order to derive a metrics for comparing images. We show in particular the importance of edge information (i.e. spatial relations) in the specific context of the influence of the satisfaction or non-satisfaction of a relation between two regions. The main contribution of the paper is situated in highlighting the challenges that follow in terms of image representation, if fuzzy models are considered for estimating relation satisfiability.

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References

  • Aldea, E., Atif, J., Bloch, I.: Image Classification using Marginalized Kernels for Graphs. In: 6th IAPR-TC15 Workshop on Graph-based Representations in Pattern Recognition, GbR 2007, Alicante, Spain, pp. 103–113 (2007a)

    Google Scholar 

  • Aldea, E., Fouquier, G., Atif, J., Bloch, I.: Kernel Fusion for Image Classification Using Fuzzy Structural Information. ISVC (2), 307–317 (2007b)

    Google Scholar 

  • Arivazhagan, S., Ganesan, L., Priyal, S.P.: Texture classification using Gabor wavelets based rotation invariant features. Pattern Recogn. Lett. 27(16), 1976–1982 (2006), http://dx.doi.org/10.1016/j.patrec.2006.05.008

    Article  Google Scholar 

  • Bernardino, A., Santos Victor, J.: Fast IIR Isotropic 2-D Complex Gabor Filters With Boundary Initialization. IP 15(11), 3338–3348 (2006)

    Google Scholar 

  • Bloch, I.: Fuzzy Spatial Relationships for Image Processing and Interpretation: A Review. Image and Vision Computing 23(2), 89–110 (2005)

    Article  Google Scholar 

  • Borgwardt, K.M., Kriegel, H.-P.: Graph Kernels For Disease Outcome Prediction From Protein-Protein Interaction Networks. In: Pacific Symposium on Biocomputing, pp. 4–15 (2007)

    Google Scholar 

  • Bouchon-Meunier, B., Rifqi, M., Bothorel, S.: Towards general measures of comparison of objects. Fuzzy sets and Systems 84(2), 143–153 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  • Deruyver, A., Hodé, Y., Brun, L.: Image interpretation with a conceptual graph: Labeling over-segmented images and detection of unexpected objects. Artif. Intell. 173(14), 1245–1265 (2009)

    Article  MATH  Google Scholar 

  • Genton, M.G.: Classes of Kernels for Machine Learning: A Statistics Perspective. Journal of Machine Learning Research 2, 299–312 (2001)

    Article  Google Scholar 

  • Harchaoui, Z., Bach, F.: Image Classification with Segmentation Graph Kernels. In: IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2007, pp. 1–8 (2007), http://dx.doi.org/10.1109/CVPR.2007.383049

  • Kashima, H.: Tsuda, K. and Inokuchi, A., Marginalized Kernels Between Labeled Graphs. In: 20st Int. Conf. on Machine Learning, pp. 321–328 (2003)

    Google Scholar 

  • Lebrun, J., Philipp-Foliguet, S., Gosselin, P.H.: Image retrieval with graph kernel on regions. In: ICPR, pp. 1–4 (2008)

    Google Scholar 

  • Mahé, P., Ralaivola, L., Stoven, V., Vert, J.-P.: The Pharmacophore Kernel for Virtual Screening with Support Vector Machines. J. Chem. Inf. Model. 46(5), 2003–2014 (2006), http://dx.doi.org/10.1021/ci060138m

    Article  Google Scholar 

  • Mahé, P., Ueda, N., Akutsu, T., Perret, J.-L., Vert, J.-P.: Extensions of marginalized graph kernels. In: ICML 2004: 21st Int. Conf. on Machine Learning (2004)

    Google Scholar 

  • Riesen, K., Neuhaus, M., Bunke, H.: Bipartite Graph Matching for Computing the Edit Distance of Graphs. In: Escolano, F., Vento, M. (eds.) GbRPR 2007. LNCS, vol. 4538, pp. 1–12. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  • Takemura, C.M., Cesar, R.M., Bloch, I.: Fuzzy Modeling and Evaluation of the Spatial Relation ”Along”. In: Sanfeliu, A., Cortés, M.L. (eds.) CIARP 2005. LNCS, vol. 3773, pp. 837–848. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  • Tsuda, K., Kin, T., Asai, K.: Marginalized kernels for biological sequences. Bioinformatics 18(suppl. 1), 268–275 (2002)

    Google Scholar 

  • Vanegas, C., Bloch, I., Maître, H., Inglada, J.: Approximate Parallelism Between Fuzzy Objects: Some Definitions. In: Di Gesù, V., Pal, S.K., Petrosino, A. (eds.) Fuzzy Logic and Applications. LNCS (LNAI), vol. 5571, pp. 12–19. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  • Vapnik, V.: Statistical Learning Theory. Wiley Interscience, Hoboken (1998)

    MATH  Google Scholar 

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Aldea, E., Bloch, I. (2010). Toward a Better Integration of Spatial Relations in Learning with Graphical Models. In: Guillet, F., Ritschard, G., Zighed, D.A., Briand, H. (eds) Advances in Knowledge Discovery and Management. Studies in Computational Intelligence, vol 292. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00580-0_5

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  • DOI: https://doi.org/10.1007/978-3-642-00580-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00579-4

  • Online ISBN: 978-3-642-00580-0

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