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Extractive Support Vector Algorithm on Support Vector Machines for Image Restoration

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Języki publikacji
EN
Abstrakty
EN
The major problem of SVMs is the dependence of the nonlinear separating surface on the entire dataset which creates unwieldy storage problems. This paper proposes a novel design algorithm, called the extractive support vector algorithm, which provides improved learning speed and a vastly improved performance. Instead of learning and training with all input patterns, the proposed algorithm selects support vectors from the input patterns and uses these support vectors as the training patterns. Experimental results reveal that our proposed algorithmprovides near optimal solutions and outperforms the existing design algorithms. In addition, a significant framework which is based on extractive support vector algorithm is proposed for image restoration. In the framework, input patterns are classified by three filters: weighted order statistics filter, alpha-trimmed mean filter and identity filter. Our proposed filter can achieve three objectives: noise attenuation, chromaticity retention, and preservation of edges and details. Extensive simulation results illustrate that our proposed filter not only achieves these three objectives but also possesses robust and adaptive capabilities, and outperforms other proposed filtering techniques.
Wydawca
Rocznik
Strony
171--190
Opis fizyczny
bibliogr. 28 poz., fot., tab., wykr.
Twórcy
autor
autor
autor
  • Department of Computer Science and Information Engineering Chaoyang University of Technology, Wufong, Taichung 41349, Taiwan, ccyao@cyut.edu.tw
Bibliografia
  • [1] Cristianini, N., Shawe-Taylor, J.:An introduction to support vector machines, Cambridge University Press, Cambridge, 2000.
  • [2] Vapnik, V. N.:The nature of statistical learning theory, Springer, New York, 1995.
  • [3] Schőlkopf, B., Smola, A.J.:Learning with kernels: Support vector machines, regularization, optimization, and beyond, Cambridge, Mass: MIT Press, London, 2002.
  • [4] Mangasarian, O.L., Musicant, D.R.: Successive overrelaxation for support vector machines, IEEE Trans. On Neural Networks, 10(5), 1999, 1032-1037.
  • [5] Chapelle, O., Haffner, P., Vapnik, V.N.: Support vector machines for histogram-based image classification, IEEE Trans. on Neural Network, 10(5), 1999, 1055-1064.
  • [6] Guo, G., Li, S.Z., Chan, K.L.: Support vector machines for face recognition, Image and Vision Computing, 19, 2001, 631-638.
  • [7] Yao, C.-C, Yu, P.-T.: Fuzzy Regression by Asymmetric Support Vector Machines, Applied Mathematics and Computation, vol. 182, pp. 175-193, 2006.
  • [8] Drucker, H.,Wu, D., Vapnik, V.N.: Support vector machines for spam categorization, IEEE Trans. on Neural Network, 10(5), 1999, 1048-1054.
  • [9] Vapnik, V.N.:Statistical learning theory, Wiley, New York, 1998.
  • [10] Platt, J.C.: Fast training of support vector machines using sequential minimal optimization, in Advances in kernel methods-support vector learning, Schőlkopf, B., Burges, C.J.C., Smola, A.J.(Eds.), MIT Press, Cambridge, MA, 1998.
  • [11] Burges, C.J.C.: A tutorial on support vector machines for pattern recognition, Data mining and knowledge discovery, 2(2), 1998, 121-167.
  • [12] Lee, Y.-J., Mangasarian, O.L.: RSVM: Reduced support vector machines, Proceedings of the First SIAM International Conference on Data Mining, Chicago, April 5-7, 2001.
  • [13] Joachims, T.: Making large-scale SVM learning practical, in Advances in kernel methods-support vector learning, Schőlkopf, B., Burges, C.J.C., Smola, A.J.(Eds.), MIT Press, Cambridge, MA, 1998.
  • [14] Osuna, E., Freund, R., Girosi, F.: Training support vector machines: an application to face detection, in Proc CVPR-97, 1997.
  • [15] Platt, J.: Sequential minimal optimization: a fast algorithm for training support vector machines, in Advances in Kernel Methods-Support vector learning, Schőlkopf, B., Burges, C.J.C., Smola, A.J. (Eds.), MIT Press, Camridge, MA, 1999, 185-208.
  • [16] Astola, J., Kuosmanen, P.:Fundamentals of nonlinear digital filtering, Boca Raton, FL: CRC, 1997.
  • [17] Hardie, R.C., Barner, K.E.: Rank conditioned rank selection filters for signal restoration, IEEE Trans. On Image Processing, 3, 1994, 192-206.
  • [18] Yao, C.-C., Yu, P.-T.: The Optimal Design of Weighted Order Statistics Filters by Using Support Vector Machines, EURASIP Journal on Applied Signal Processing, Article ID 24185, 2006.
  • [19] Lin, K.-M., Lin, C.-J.: A study on reduced support vector machines, IEEE Trans. on Neural Networks, 14(6), 2003, 1449-1459.
  • [20] Walpole, R.E., Myers, R. H.:Probability and statistics for engineers and scientists, Macmillan, New York, 1993.
  • [21]Öten, R., de Figueiredo, R.J.P.: Adaptive alpha-trimmed mean filters under deviations from assumed noise model, IEEE Trans. on Image Processing, 13(5), 2004, 627-639.
  • [22] Murphy, P.M., Aha, D.W.: UCI repository of machine learning databases, 1992, www.ics.uci.edu/ mlearn/MLRepository.html.
  • [23] Ko, S., Lee, Y. H.: Center weighted median filters and their applications to image enhancement, IEEE Trans. on Circuits Syst., 35, 1991, 984-993.
  • [24] Yin, L., Astola, J., Neuvo, Y.: A new class of nonlinear filters - neural filters, IEEE Trans. on Signal Processing, 41(3), 1993, 1201-1222.
  • [25] Arakawa, K.: Median filter based on fuzzy rules and its application to image restoration, Fuzzy Sets and Systems, 77, 1996, 3-9.
  • [26] Chang, J.-Y., Chen, J.-L.: Classifier-augmented median filters for image restoration, IEEE Trans. on Instrumentation and Measurement, 53(2), 2004, 351-356.
  • [27] Stone, M.: Cross-validatory choice and assessment of statistical predictions, Journal of the Royal Statistical Society, 36, 1974, 111-147.
  • [28] Farbiz, F., Menhaj, M.B.: A fuzzy logic control based approach for image filtering, Fuzzy Techniques in Image Processing, Springer-Verlag, 2000.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0004-0012
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