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Nonlinear multifunctional sensor signal reconstruction based on least squares support vector machines and total least squares algorithm

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Abstract

Least squares support vector machines (LS-SVMs) are modified support vector machines (SVMs) that involve equality constraints and work with a least squares cost function, which simplifies the optimization procedure. In this paper, a novel training algorithm based on total least squares (TLS) for an LS-SVM is presented and applied to multifunctional sensor signal reconstruction. For three different nonlinearities of a multifunctional sensor model, the reconstruction accuracies of input signals are 0.001 36%, 0.031 84% and 0.504 80%, respectively. The experimental results demonstrate the higher reliability and accuracy of the proposed method for multifunctional sensor signal reconstruction than the original LS-SVM training algorithm, and verify the feasibility and stability of the proposed method.

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References

  • Bates, D.M., Watts, D.G., 1980. Relative curvature measures of nonlinearity. J. Royal Stat. Soc. Ser. B, 42:1–25.

    MathSciNet  MATH  Google Scholar 

  • Box, M.J., 1971. Bias in nonlinear estimation. J. Royal Stat. Soc. Ser. B, 33:171–201.

    MathSciNet  MATH  Google Scholar 

  • Cortes, C., Vapnik, V., 1995. Support-vector networks. Machine Learning, 20(3):273–297. [doi:10.1023/A:1022627 411411]

    MATH  Google Scholar 

  • Flammini, A., Marioli, D., Taroni, A., 1999. Application of an optimal look-up table to sensor data processing. IEEE Trans. Instrum. Meas., 48(4):813–816. [doi:10.1109/19.779179]

    Article  Google Scholar 

  • Liu, D., Sun, J.W., Wei, G., Liu, X., 2007. Application of moving least squares to multi-sensors data reconstruction. Acta Autom. Sin., 33(8):823–828 (in Chinese).

    Google Scholar 

  • Moreira, M.F.P., Ferreira, M.D., Freire, J.T., 2006. Evaluation of pseudo-homogeneous models for heat transfer in packed beds with gas flow and gas-liquid cocurrent downflow and upflow. Chem. Eng. Sci., 61(6):2056–2068. [doi:10.1016/j.ces.2005.11.003]

    Article  Google Scholar 

  • Rahman, M.D., Yu, K.B., 1987. Total least squares approach for frequency estimation using linear prediction. IEEE Trans. Acoust., Speech, Signal Processing, 35(10):1440–1454. [doi:10.1109/TASSP.1987.1165059]

    Article  Google Scholar 

  • Ribeiro, J.A., Oliveira, D.T., Passos, M.L., Barrozo, M.A.S., 2005. The use of nonlinearity measures to discriminate the equilibrium moisture equations for Bixa orellana seeds. J. Food Eng., 66(1):63–68. [doi:10.1016/j.jfoodeng.2004.02.040]

    Article  Google Scholar 

  • Smola, A.J., Scholkopf, B., 2004. A tutorial on support vector regression. Stat. Comput., 14(3):199–222. [doi:10.1023/B:STCO.0000035301.49549.88]

    Article  MathSciNet  Google Scholar 

  • Sun, J.W., Shida, K., 2002. Multilayer sensing and aggregation approach to environmental perception with one multifunctional sensor. IEEE Sensors J., 2(2):62–72. [doi:10. 1109/JSEN.2002.1000243]

    Google Scholar 

  • Sun, J.W., Liu, X., Sun, S.H., 2004. TLS algorithm-based study on multi-functional sensor data reconstruction. Acta Electron. Sin., 32(3):391–394 (in Chinese).

    Google Scholar 

  • Suykens, J.A.K., Vandewalle, J., 1999. Least squares support vector machine classifiers. Neural Processing Lett., 9(3):293–300. [doi:10.1023/A:1018628609742]

    Article  MathSciNet  MATH  Google Scholar 

  • Suykens, J.A.K., Brabanter, J., Lukas, L., Vandewalle, J., 2002. Weighted least squares support vector machines: robustness and sparse approximation. Neurocomputing, 48(1–4): 85–105. [doi:10.1016/S0925-2312(01)00644-0]

    Article  MATH  Google Scholar 

  • Vapnik, V., 1998. The Nature of Statistical Learning Theory. Springer-Verlag, New York.

    MATH  Google Scholar 

  • Vapnik, V., 1999. An overview of statistical learning theory. IEEE Trans. Neural Networks, 10(5):988–999. [doi:10. 1109/72.788640]

    Article  Google Scholar 

  • Yuji, J., Shida, K., 2000. A new multifunctional tactile sensing technique by selective data processing. IEEE Trans. Instrum. Meas., 49(5):1091–1094. [doi:10.1109/19.872935]

    Article  Google Scholar 

  • Zhang, H.Y., Huang, J.D., Fan, W.L., 1995. Total least square method and its application to parameter estimation. Acta Autom. Sin., 21(1):40–47 (in Chinese).

    MATH  Google Scholar 

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Correspondence to Xin Liu.

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Project supported by the National Natural Science Foundation of China (Nos. 60772007 and 60672008), and China Postdoctoral Science Foundation (No. 20070410258)

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Liu, X., Wei, G., Sun, Jw. et al. Nonlinear multifunctional sensor signal reconstruction based on least squares support vector machines and total least squares algorithm. J. Zhejiang Univ. Sci. A 10, 497–503 (2009). https://doi.org/10.1631/jzus.A0820282

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  • DOI: https://doi.org/10.1631/jzus.A0820282

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