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Patchworking Multiple Pairwise Distances for Learning with Distance Matrices

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Book cover Latent Variable Analysis and Signal Separation (LVA/ICA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9237))

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Abstract

A classification framework using only a set of distance matrices is proposed. The proposed algorithm can learn a classifier only from a set of distance matrices or similarity matrices, hence applicable to structured data, which do not have natural vector representation such as time series and graphs. Random forest is used to explore ideal feature representation based on the distance between points defined by a set of given distance matrices. The effectiveness of the proposed method is evaluated through experiments with point process data and graph structured data.

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Notes

  1. 1.

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References

  1. Cover, T., Hart, P.: Nearest neighbor pattern classification. IEEE Trans. Inf. Theor. 13(1), 21–27 (1967)

    Article  MATH  Google Scholar 

  2. Boser, B., et al.: A training algorithm for optimal margin classifiers. In: COLT (1992)

    Google Scholar 

  3. Yang, L., Jin, R.: Distance metric learning: A comprehensive survey. Technical report: Michigan State University (2006)

    Google Scholar 

  4. Kulis, B.: Metric learning: a survey. Found. Trends Mach. Learn. 5(4), 287–364 (2013)

    Article  MathSciNet  Google Scholar 

  5. Goldberger, J., et al.: Neighborhood component analysis. In: NIPS (2004)

    Google Scholar 

  6. Weinberger, K., et al.: Distance metric learning for large margin nearest neighbor classification. In: NIPS (2006)

    Google Scholar 

  7. Davis, J.V., et al.: Information-theoretic metric learning. In: ICML (2007)

    Google Scholar 

  8. Shawe-Taylor, J., Cristianini, N.: Kernel Methods for Pattern Analysis. Cambridge University Press, New York (2004)

    Book  Google Scholar 

  9. Shervashidze, N., Borgwardt, K.M.: Fast subtree kernels on graphs. In: NIPS (2009)

    Google Scholar 

  10. Neumann, M., Patricia, N., Garnett, R., Kersting, K.: Efficient graph kernels by randomization. In: Flach, P.A., De Bie, T., Cristianini, N. (eds.) ECML PKDD 2012, Part I. LNCS, vol. 7523, pp. 378–393. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  11. Feragen, A., et al.: Scalable kernels for graphs with continuous attributes. In: NIPS (2013)

    Google Scholar 

  12. Reiss, R.-D.: A Course on Point Processes. Springer Series in Statistics. Springer, New York (1993)

    Book  MATH  Google Scholar 

  13. Kreuz, T., et al.: Measuring spike train synchrony. J. Neurosci. Methods 165(1), 151–161 (2007)

    Article  MathSciNet  Google Scholar 

  14. van Rossum, M.C.W.: A novel spike distance. Neural Compt. 13(4), 751–763 (2001)

    Article  MATH  Google Scholar 

  15. Houghton, C.: Studying spike trains using a van rossum metric with a synapse-like filter. J. Comput. Neurosci. 26(1), 149–155 (2009)

    Article  MathSciNet  Google Scholar 

  16. Hunter, J.D., Milton, J.G.: Amplitude and frequency dependence of spike timing: implications for dynamic regulation. J. Neurophysiol. 90(1), 387–394 (2003)

    Article  Google Scholar 

  17. Quiroga, R.Q.: Event synchronization: a simple and fast method to measure synchronicity and time delay patterns. Phys. Rev. E 66, 041904 (2002)

    Article  MathSciNet  Google Scholar 

  18. Schreiber, S., et al.: A new correlation-based measure of spike timing reliability. Neurocomputing 52, 925–931 (2003)

    Article  Google Scholar 

  19. Paiva, A.R.C., et al.: A reproducing kernel hilbert space framework for spike train signal processing. Neural Comput. 21(2), 424–449 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  20. Breiman, L.: Random forests. Mach. Learn. 45(1), 5–32 (2001)

    Article  MATH  Google Scholar 

  21. Balcan, M., Blum, A.: On a theory of learning with similarity functions. In: Proceedings of ICML (2006)

    Google Scholar 

  22. Lanckriet, G.R.G., et al.: Learning the kernel matrix with semidefinite programming. J. Mach. Learn. Res. 5, 27–72 (2004)

    MATH  MathSciNet  Google Scholar 

  23. Cortes, C., et al.: Algorithms for learning kernels based on centered alignment. J. Mach. Learn. Res. 13, 795–828 (2012)

    MATH  MathSciNet  Google Scholar 

  24. Suryanto, C.H., et al.: Combination of multiple distance measures for protein fold classification. In: ACPR (2013)

    Google Scholar 

  25. Fellous, J.M., et al.: Discovering spike patterns in neuronal responses. J. Neurosci. 24(12), 2989–3001 (2004)

    Article  Google Scholar 

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Acknowledgements

Part of this work is supported by KAKENHI No.26120504, 25870811, and 25120009.

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Correspondence to Hideitsu Hino .

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Takano, K., Hino, H., Yoshikawa, Y., Murata, N. (2015). Patchworking Multiple Pairwise Distances for Learning with Distance Matrices. In: Vincent, E., Yeredor, A., Koldovský, Z., Tichavský, P. (eds) Latent Variable Analysis and Signal Separation. LVA/ICA 2015. Lecture Notes in Computer Science(), vol 9237. Springer, Cham. https://doi.org/10.1007/978-3-319-22482-4_33

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  • DOI: https://doi.org/10.1007/978-3-319-22482-4_33

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22481-7

  • Online ISBN: 978-3-319-22482-4

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