Abstract
Giving a certain training sample set, the learning efficiency almost depends on the kernel function in kernel methods. This inspires us to learn the kernel and the parameters. In the paper, a selecting parameter algorithm is proposed to improve the calculation efficiency. The normalized inner product matrix is the approximation target. And utilize the iterative method to calculate the optimal bandwidth. The defect detection efficiency can be greatly improved adopting the learned bandwidth. We applied the algorithm to detect the defects on tickets’ surface. The experimental results indicate that our sampling algorithm not only reduces the mistake rate but also shortens the detection time.
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References
Shawe-Taylor J, Cristianini N (2004) Kernel methods for pattern analysis. Cambridge University, London
Schölkopf B, Smola A, Müller KR (1997) Kernel principal component analysis. ICANN: artificial neural networks, pp 583–588
Shao JD, Rong G, Lee JM (2009) Learning a data-dependent kernel function for KPCA-based nonlinear process monitoring. Chem Eng Res Design 87:1471–1480
Cortes C, Mohri M, Rostamizadeh A (2009) L2 regularization for learning kernels. In: Conference uncertainty in artificial intelligence, pp 109–116
Cortes C, Mohri M, Rostamizadeh A (2009) Learning non-linear combinations of kernels. Adv Neural Inf Proc Syst 22:396–404
Rakotomamonjy A, Bach FR, Canu S et al (2009) SimpleMKL. J Mach Learn Res 9:2491–2521
Bach F (2008) Exploring large feature spaces with hierarchical multiple kernel learning. arXiv preprint 0809:1–30
Yi Y, Nan Y, Bingchao D et al (2012) Neural decoding based on Kernel regression. JDCTA Int J Digit Content Technol Appl 6:427–435
Shi WY (2012) The algorithm of nonlinear feature extraction for large-scale data set. IJIPM Int J Inf Proc Manage 3:45–52
Scholkopf B, Smola A, Muller KR (1998) Nonlinear component analysis as a Kernel eigenvalue problem, vol 10. pp 1299–1319
Mika S, Schölkoph B, Smola A et al (2001) Kernel PCA and de-noising in feature spaces. Adv Neural Inf Proc Syst 11:536–542
Takahashi T, Kurita T (2002) Robust de-noising by Kernel PCA. Artificial neural networks-ICANN, pp 789–789
Tan ZY, Feng Y (2011) A novel improved sampling algorithm. In: Conference communication software and networks, pp 43–46
Gerald CF, Wheatley PO (2006) Applied numerical analysis. Pearson Academic, America
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Zhiying, T., Kun, S., Xiaobo, S. (2013). An Iterative Algorithm for Selecting the Parameters in Kernel Methods. In: Park, J., Ng, JY., Jeong, HY., Waluyo, B. (eds) Multimedia and Ubiquitous Engineering. Lecture Notes in Electrical Engineering, vol 240. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6738-6_22
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DOI: https://doi.org/10.1007/978-94-007-6738-6_22
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