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Robust Fast Online Multivariate Non-parametric Density Estimator

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Neural Information Processing (ICONIP 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8227))

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Abstract

With the recent development of network and sensor technologies, vast amounts of data are being continuously generated in real time from real-world environments. Such data includes in many noise, and it is not easy to predict that distribution underlying the data in advance. Probability density estimation is a critical task of machine learning, but it is difficult to accomplish it for big data in the real world. For handling such data, we propose a robust fast online multivariate non-parametric density estimator. Our proposed method extends the kernel density estimation and Self-Organizing Incremental Neural Network. The experimental results show that our proposed method outperforms or achieves a state-of-the-art performance.

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References

  1. Kim, J., Scott, C.D.: Robust kernel density estimation. Journal of Machine Learning Research 13, 2529–2565 (2011)

    MathSciNet  Google Scholar 

  2. Parzen, E.: On estimation of a probability density function and mode. The Annals of Mathematical Statistics 33, 1065–1076 (1962)

    Article  MathSciNet  MATH  Google Scholar 

  3. Silverman, B.: Density Estimation. Chapman and Hall (1986)

    Google Scholar 

  4. Jones, M.C., Marron, J.S., Sheather, S.J.: A brief survey of bandwidth selection for density estimation. Journal of the American Statistical Association 91(433), 401–407 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  5. Murillo, J., Rodriguez, A.A.: Algorithms for gaussian bandwidth selection in kernel density estimators. In: Neural Information Processing Systems (2008)

    Google Scholar 

  6. Tabata, K., Sato, M., Kudo, M.: Data compression by volume prototypes for streaming data. Pattern Recognition 43, 3162–3176 (2010)

    Article  MATH  Google Scholar 

  7. Kristan, M., Leonardis, A., Skočaj, D.: Multivariate online kernel density estimation with gaussian kernels. Pattern Recognition 44, 2630–2642 (2011)

    Article  MATH  Google Scholar 

  8. Shen, F., Hasegawa, O.: An incremental network for on-line unsupervised classification and topology learning. Neural Networks 19(1), 90–106 (2006)

    Article  MATH  Google Scholar 

  9. Shen, F., Hasegawa, O.: A fast nearest neighbor classifier based on self-organizing incremental neural network. Neural Networks 21(10), 1537–1547 (2008)

    Article  MATH  Google Scholar 

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Nakamura, Y., Hasegawa, O. (2013). Robust Fast Online Multivariate Non-parametric Density Estimator. In: Lee, M., Hirose, A., Hou, ZG., Kil, R.M. (eds) Neural Information Processing. ICONIP 2013. Lecture Notes in Computer Science, vol 8227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-42042-9_23

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  • DOI: https://doi.org/10.1007/978-3-642-42042-9_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-42041-2

  • Online ISBN: 978-3-642-42042-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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