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SMVLLE: An Efficient Dimension Reduction Scheme

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Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5552))

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Abstract

To overcome the problems associated with high dimensionality, such as high storage and classification time, dimension reduction is usually applied to the vectors to concentrate relevant information in a low dimension. Locally Linear Embedding (LLE) is a well-known dimension reduction scheme. However, it works with vectorized representations of images and does not take into account the spatial locality relation information of images, thus some information will be lost. In this paper, a new dimension reduction scheme, called Small Matrix Vector Locally Linear Embedding (SMVLLE), is presented. Using SMVLLE which is based on small matrix cover for dimension reduction can reduce the loss of spatial locality relation information among image pixels, because this scheme works directly with images in their native state. Experiments on handwritten digit images and texture images show that SMVLLE is superior to LLE in terms of quality of the dimension reduction.

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References

  1. MacKay, D.B., Lilly, B.: Percept Variance, Subadditivity and the Metric Classification of Similarity, and Dissimilarity Data. Journal of Classification 21(2), 185–206 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  2. Cortes, C., Vapnik, V.: Support Vector Networks. Machine Learning 20, 273–297 (1995)

    MATH  Google Scholar 

  3. Nishii, R.: A Markov Random Field-based Approach to Decision Level Fusion for Remote Sensing Image Classification. IEEE Transactions on Geoscience and Remote Sensing 41(10), 2316–2319 (2003)

    Article  Google Scholar 

  4. Aggarwal, C.: On the Effects of Dimensionality Reduction on High Dimensional Similarity Search. In: ACM Principles of Database Systems Conference Proceedings, pp. 256–266 (2001)

    Google Scholar 

  5. Roweis, S.T., Saul, L.K.: Nonlinear Dimensionality Reduction by Locally Linear Embedding. Science 290, 2323–2326 (2000)

    Article  Google Scholar 

  6. Yang, Z.Y., Zhu, H., Song, J.T.: Further Study on the Smoothed Analysis of Condition Number of Matrix and Gaussian Algorithm. Journal of Software 15(5), 650–659 (2004)

    MathSciNet  MATH  Google Scholar 

  7. Dai, H.: Matrix Theory. Science Press 8, 175–176 (2001)

    Google Scholar 

  8. Roweis, S.T., Saul, L.K.: Locally Linear Embedding (2001), http://www.gatsby.ucl.ac.uk/~roweis/lle

  9. Hadid, A., Kouropteva, O., Pietikäinen, M.: Unsupervised Learning Using Locally Linear Embedding: Experiments in Face Pose Analysis. 16th International Conference on Pattern Recognition 1, 111–114 (2002)

    Article  Google Scholar 

  10. Roweis, S.T., Saul, L.K.: Think Globally, Fit Locally: Unsupervised Learning of Nonlinear Manifolds. Journal of Machine Learning Research 4, 119–155 (2003)

    MATH  Google Scholar 

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Wang, H. (2009). SMVLLE: An Efficient Dimension Reduction Scheme. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01510-6_70

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  • DOI: https://doi.org/10.1007/978-3-642-01510-6_70

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01509-0

  • Online ISBN: 978-3-642-01510-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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