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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4682))

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Abstract

As a novel evolutionary computing technique, Differential Evolution (DE) has been considered to be an effective optimization method for complex optimization problems, and achieved many successful applications in engineering. In this paper, a new algorithm of Quadratic Partial Least Squares (QPLS) based on Nonlinear Programming (NLP) is presented. And DE is used to solve the NLP so as to calculate the optimal input weights and the parameters of inner relationship. The simulation results based on the soft measurement of diesel oil solidifying point on a real crude distillation unit demonstrate that the superiority of the proposed algorithm to linear PLS and QPLS which is based on Sequential Quadratic Programming (SQP) in terms of fitting accuracy and computational costs.

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References

  1. Wold, S., Wold, N.K., Skagerberg, B.: Nonlinear PLS Modeling. Chemometrics Int. Lab. System 11(7), 53–65 (1989)

    Article  Google Scholar 

  2. Wold, S.: Nonlinear Partial Least Square Modeling (?) Spline Inner Function. Chemometrics Int. Lab. System 14(1), 71–84 (1992)

    Article  Google Scholar 

  3. Qin, S.J., McAvoy, T.J.: Nonlinear PLS Modeling using Neural Networks. Comput. Chem. Eng. 16(4), 379–391 (1992)

    Article  Google Scholar 

  4. Baffi, G., Martin, E.B., Morris, A.J.: Non-linear Projection to Latent Structures Revisited (the Neural Network PLS Algorithm). Comput. Chem. Eng. 23, 1293–1307 (1999)

    Article  Google Scholar 

  5. Yoon, H.B., Chang, K.Y., Lee, I.: Nonlinear PLS Modeling with Fuzzy Inference System. Chemometrics Int. Lab. System 64(2), 137–155 (2003)

    Google Scholar 

  6. Baffi, G., Martin, E.B., Morris, A.J.: Non-linear Projection to Latent Structures Revisited: the Quadratic PLS Algorithm. Comput. Chem. Eng. 23, 395–411 (1999)

    Article  Google Scholar 

  7. Ling, T., Tian, X.: Quadratic PLS Algorithm Based on Nonlinear Programming. Control Engineering of China 11(supplement), 117–119 (2004)

    Google Scholar 

  8. Storn, R., Price, K.: Differential Evolution - A Simple Evolution Strategy for Fast Optimization. Dr. Dobb’s Journal 22(4), 18–24 (1997)

    MathSciNet  Google Scholar 

  9. Lampinen, J.: A Bibliography of Differential Evolution Algorithm (2002), http://www.lut.fi/~jlampine/debiblio.htm

  10. Liu, B., Wang, L., Jin, Y.H.: Advances in Particle Swarm Optimization Algorithm. Control and Instruments in Chemical Industry. 32(3), 1–6 (2005)

    Google Scholar 

  11. Liu, B., Wang, L., Jin, Y.H.: Advances in Differential Evolution. Control and Decision (in press)

    Google Scholar 

  12. Wang, G., Li, X.: Nonlinear Programming Algorithm and Its Convergence Rate Analysis. Chinese Quarterly Journal of Mathematics 13(1), 8–13 (1998)

    MATH  MathSciNet  Google Scholar 

  13. Fang, Q., Cheng, D., Yu, H.: Eugenic Strategy and its Application to Chemical Engineering. Journal of Chemical Industry and Engineering (China) 55(4), 598–602 (2004)

    Google Scholar 

  14. Storn, R.: On the Usage of Differential Evolution for Function Optimization. In: Proceedings of Biennial Conference of the North American, pp. 519–523 (1996)

    Google Scholar 

  15. Cheng, S., Hwang, C.: Optimal Approximation of Linear Systems by a Differential Evolution Algorithm. IEEE Transactions on Systems, Man and Cybernetics, Part A 31(6), 698–707 (2001)

    Article  Google Scholar 

  16. Shi, R., Pan, L.: Modified Method of Nonlinear PLS and its Application-Based on Chebyshev Polynomial. Control Engineering of China 10(6), 506–508 (2003)

    MathSciNet  Google Scholar 

  17. Fu, L., Wang, H.: A Comparative Research of Polynomial Regression Modeling Method. Application of Statistics and Management. 23(1), 48–52 (2004)

    MathSciNet  Google Scholar 

  18. Zhang, J., Yang, X.H.: Multivariate Statistical Process Control. The Chemical Industry Press (2000)

    Google Scholar 

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De-Shuang Huang Laurent Heutte Marco Loog

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© 2007 Springer-Verlag Berlin Heidelberg

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Yu, X., Huang, D., Wang, X., Liu, B. (2007). DE and NLP Based QPLS Algorithm. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2007. Lecture Notes in Computer Science(), vol 4682. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74205-0_63

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  • DOI: https://doi.org/10.1007/978-3-540-74205-0_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74201-2

  • Online ISBN: 978-3-540-74205-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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