Abstract
Relevance Vector Machine (RVM) is an important learning method in the field of machine learning for its sparsity, global optimality and the ability to solve nonlinear problems by using kernel functions. Biased wavelets are localized in time and infrequency but, unlike wavelets, have adjustable nonzero mean. The proposed hybrid algorithm employs a family of biased wavelets to construct the kernel functions of RVM, which makes the kernel of RVM more flexible. RVM models are trained according to the diversity of the signal, and the predicted variance are selected in the hybrid algorithm to improve the accuracy. Test results show that RVM with the biased wavelet kernel is able to get increased prediction precision considering data features and the predicted variance is an efficient metric to construct the hybrid algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Tipping, M.E.: Sparse Bayesian learning and the relevance vector machine. J. Mach. Learn. Res. 1(3), 211–244 (2001)
Vapnik, V.N.: The Nature of Statistical Learning Theory, 2nd edn. Springer, New York (2000). doi:10.1007/978-1-4757-3264-1
Son, Y., Lee, J.: Active learning using transductive sparse Bayesian regression. Inf. Sci. 374, 240–254 (2016)
Close, R., Wilson, J., Gader, P.: A Bayesian approach to localized multi-kernel learning using the relevance vector machine. In: 2011 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), pp. 1103–1106. IEEE (2011)
Gönen, M., Alpaydin, E.: Localized algorithms for multiple kernel learning. Pattern Recogn. 46(3), 795–807 (2013)
Zhong, S., Chen, D., Xu, Q., et al.: Optimizing the Gaussian kernel function with the formulated kernel target alignment criterion for two-class pattern classification. Pattern Recogn. 46(46), 2045–2054 (2013)
Cristianini, N., Shawe-Taylor, J., Elisseeff, A., et al.: On kernel-target alignment. In: International Conference on Neural Information Processing Systems: Natural and Synthetic, pp. 367–373. MIT Press (2001)
Trafalis, T.B., Malyscheff, A.M.: Optimal selection of the regression kernel matrix with semidefinite programming. In: Floudas, C.A., Pardalos, P. (eds.) Frontiers in Global Optimization, pp. 575–584. Springer, Boston (2004). doi:10.1007/978-1-4613-0251-3_31
Ruan, D.: Prospective detection of large prediction errors: a, hypothesis testing approach. Phys. Med. Biol. 55(13), 3885–3904 (2010)
Drichen, R., Wissel, T., Schweikard, A.: Controlling motion prediction errors in radiotherapy with relevance vector machines. Int. J. Comput. Assist. Radiol. Surg. 10(4), 363–371 (2015)
Galvo, R.K.H., Yoneyama, T., Rabello, T.N.: Signal representation by adaptive biased wavelet expansions. Digit. Signal Proc. 9(4), 225–240 (1999)
Fei, S.W., He, Y.: Wind speed prediction using the hybrid model of wavelet decomposition and artificial bee colony algorithm-based relevance vector machine. Int. J. Electr. Power Energy Syst. 73, 625–631 (2015)
Zhao, C.H., Zhang, Y., Wang, Y.L.: Relevant vector machine classification of hyperspectral image based on wavelet kernel principal component analysis. Dianzi Yu Xinxi Xuebao (J. Electron. Inf. Technol.) 34(8), 1905–1910 (2012)
Gönen, M., Alpaydin, E.: Multiple kernel learning algorithms. J. Mach. Learn. Res. 12, 2211–2268 (2011)
Li, D., Wang, J., Zhao, X., et al.: Multiple kernel-based multi-instance learning algorithm for image classification. J. Vis. Commun. Image Represent. 25(5), 1112–1117 (2014)
De Vito, S., Fattoruso, G., Pardo, M., et al.: Semi-supervised learning techniques in artificial olfaction: a novel approach to classification problems and drift counteraction. IEEE Sens. J. 12(11), 3215–3224 (2011)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Liu, F., Zhao, F., Tong, M., Yang, Y., Yu, Z. (2017). Hybrid RVM Algorithm Based on the Prediction Variance. In: Liu, D., Xie, S., Li, Y., Zhao, D., El-Alfy, ES. (eds) Neural Information Processing. ICONIP 2017. Lecture Notes in Computer Science(), vol 10634. Springer, Cham. https://doi.org/10.1007/978-3-319-70087-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-70087-8_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-70086-1
Online ISBN: 978-3-319-70087-8
eBook Packages: Computer ScienceComputer Science (R0)