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Graph Construction Based on Local Representativeness

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Computing and Combinatorics (COCOON 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10392))

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Abstract

Graph construction is a known method of transferring the problem of classic vector data mining to network analysis. The advantage of networks is that the data are extended by links between certain (similar) pairs of data objects, so relationships in the data can then be visualized in a natural way. In this area, there are many algorithms, often with significantly different results. A common problem for all algorithms is to find relationships in data so as to preserve the characteristics related to the internal structure of the data. We present a method of graph construction based on a network reduction algorithm, which is found on analysis of the representativeness of the nodes of the network. It was verified experimentally that this algorithm preserves structural characteristics of the network during the reduction. This approach serves as the basis for our method which does not require any default parameters. In our experiments, we show the comparison of our graph construction method with one well-known method based on the most commonly used approach.

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References

  1. Belkin, M., Niyogi, P., Sindhwani, V.: Manifold regularization: A geometric framework for learning from labeled and unlabeled examples. J. Mach. Learn. Res. 7, 2399–2434 (2006)

    MathSciNet  MATH  Google Scholar 

  2. Blondel, V.D., Guillaume, J.L., Lambiotte, R., Lefebvre, E.: Fast unfolding of communities in large networks. J. Stat. Mech. Theory Exp. 2008(10), P10008 (2008)

    Article  Google Scholar 

  3. Charytanowicz, M., Niewczas, J., Kulczycki, P., Kowalski, P.A., Łukasik, S., Żak, S.: Complete gradient clustering algorithm for features analysis of X-ray images. In: Piȩtka, E., Kawa, J. (eds.) Information Technologies in Biomedicine. Advances in Intelligent and Soft Computing, vol. 69, pp. 15–24. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  4. Daitch, S.I., Kelner, J.A., Spielman, D.A.: Fitting a graph to vector data. In: Proceedings of the 26th Annual International Conference on Machine Learning, pp. 201–208. ACM (2009)

    Google Scholar 

  5. Derényi, I., Palla, G., Vicsek, T.: Clique percolation in random networks. Phys. Rev. Lett. 94(16), 160202 (2005)

    Article  Google Scholar 

  6. Dhillon, P.S., Talukdar, P.P., Crammer, K.: Inference-driven metric learning for graph construction. In: 4th North East Student Colloquium on Artificial Intelligence (2010)

    Google Scholar 

  7. Dornaika, F., Bosaghzadeh, A.: Adaptive graph construction using data self-representativeness for pattern classification. Inf. Sci. 325, 118–139 (2015)

    Article  MathSciNet  Google Scholar 

  8. Higuera, C., Gardiner, K.J., Cios, K.J.: Self-organizing feature maps identify proteins critical to learning in a mouse model of down syndrome. PLoS one 10(6), e0129126 (2015)

    Article  Google Scholar 

  9. Huttenhower, C., Flamholz, A.I., Landis, J.N., Sahi, S., Myers, C.L., Olszewski, K.L., Hibbs, M.A., Siemers, N.O., Troyanskaya, O.G., Coller, H.A.: Nearest neighbor networks: clustering expression data based on gene neighborhoods. BMC Bioinform. 8(1), 250 (2007)

    Article  Google Scholar 

  10. Lichman, M.: UCI machine learning repository (2013). http://archive.ics.uci.edu/ml

  11. Liu, W., Chang, S.F.: Robust multi-class transductive learning with graphs. In: 2009 IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2009, pp. 381–388. IEEE (2009)

    Google Scholar 

  12. Maier, M., Von Luxburg, U., Hein, M.: Influence of graph construction on graph-based clustering measures. In: NIPS, pp. 1025–1032 (2008)

    Google Scholar 

  13. Newman, M.E.: Assortative mixing in networks. Phys. Rev. Lett. 89(20), 208701 (2002)

    Article  Google Scholar 

  14. Subramanya, A., Talukdar, P.P.: Graph-based semi-supervised learning. In: Synthesis Lectures on Artificial Intelligence and Machine Learning, vol. 8(4), pp. 1–125 (2014)

    Google Scholar 

  15. Wang, F., Zhang, C.: Label propagation through linear neighborhoods. IEEE Trans. Knowl. Data Eng. 20(1), 55–67 (2008)

    Article  Google Scholar 

  16. Yan, S., Wang, H.: Semi-supervised learning by sparse representation. In: Proceedings of the 2009 SIAM International Conference on Data Mining, SIAM, pp. 792–801 (2009)

    Google Scholar 

  17. Zehnalova, S., Kudelka, M., Platos, J.: Local representativeness in vector data. In: 2014 IEEE International Conference on Systems, Man and Cybernetics (SMC), pp. 894–899. IEEE (2014)

    Google Scholar 

  18. Zehnalova, S., Kudelka, M., Platos, J., Horak, Z.: Local representatives in weighted networks. In: 2014 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM), pp. 870–875. IEEE (2014)

    Google Scholar 

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Acknowledgments

This work was supported by grant of Ministry of Health of Czech Republic (MZ CR VES16-31852A) and by SGS, VSB-Technical University of Ostrava, under the grant no. SP2017/85.

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Correspondence to Milos Kudelka .

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Ochodkova, E., Zehnalova, S., Kudelka, M. (2017). Graph Construction Based on Local Representativeness. In: Cao, Y., Chen, J. (eds) Computing and Combinatorics. COCOON 2017. Lecture Notes in Computer Science(), vol 10392. Springer, Cham. https://doi.org/10.1007/978-3-319-62389-4_54

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  • DOI: https://doi.org/10.1007/978-3-319-62389-4_54

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62388-7

  • Online ISBN: 978-3-319-62389-4

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