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Statistical Classifier with Ordered Decisions as an Image Based Controller with Application to Gas Burners

  • Conference paper
Artificial Intelligence and Soft Computing (ICAISC 2014)

Abstract

We consider a statistical decision problem as a tool for solving control problems with a camera in the loop. The first stage is features extraction from images. Its role is to process images in order to extract features relevant for the control problem. Then, they are fed as inputs to the Bayesian decision problem. At the second stage a loss function, which is a sum of squared deviations of decisions from true decisions is considered. Finally, an approximation of the optimal decision rule is proposed, using a learning sequence of decisions, which – together with feature extracting algorithms – form the control system. The proposed approach is illustrated by a system that is dedicated to control natural gas burners.

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References

  1. Bheemul, H.C., Lu, G., Yan, Y.: Three-dimensional visualization and quantitative characterization of gaseous flames. Meas. Sci. Technol. 13, 1643–1650 (2002)

    Article  Google Scholar 

  2. Bors, A.G., Pitas, I.: Median Radial Basis Function Neural Network. IEEE Trans. on Neural Networks I, 1351–1364 (1996)

    Article  Google Scholar 

  3. Allwein, A., Schapire, R., Singer, Y.: Reducing Multiclass to binary: A Unifying approach for Margin classifiers. J. Machine Learning Research 1, 113–141 (2000)

    MathSciNet  Google Scholar 

  4. Bishop, C.: Neural Networks for Pattern Recognition. Oxford Univ. Press (1995)

    Google Scholar 

  5. de Groot, M.H.: Optimal Statistical Decisions. Wiley, New Jersey (2004)

    Google Scholar 

  6. Devroye, L., Györfi, L.: Nonparametric Density Estimation. The L 1 View. Wiley, New York (1985)

    MATH  Google Scholar 

  7. Devroye, L., Györfi, L., Lugosi, G.: Probabilistic Theory of Pattern Recognition. Springer, New York (1996)

    Book  MATH  Google Scholar 

  8. Dietterich, T., Bakiri, G.: Solving Multiclass Learning Problems via Error-Correcting Output Codes. J. Artificial Intelligence Research 2, 263–286 (1995)

    MATH  Google Scholar 

  9. Hastie, T., Tibshirani, R.: Classification by Pairwise Coupling. The Annals of Statistics 26, 451–471 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  10. Karayiannis, N.B., Randolph-Gips, M.M.: On the Construction and Training of Reformulated Radial Basis Function Neural Networks. IEEE Trans. on Neural Networks 14, 835–846 (2003)

    Article  Google Scholar 

  11. Kotyra, A., Wójcik, W.: Application of image flame features to assesment of combustion process. PAK 55, 117–121 (2009) (in Polish)

    Google Scholar 

  12. Wójcik, W., Kotyra, A.: Combustion diagnosis by image processing. Photonics Letters of Poland 1(1), 40–42 (2009)

    Google Scholar 

  13. Krzyżak, A., Skubalska-Rafajłowicz, E.: Combining Space-Filling Curves and Radial Basis Function Networks. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 229–234. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  14. Lu, G., Yan, Y., Huang, Y., Reed, A.: An intelligent vision system for monitoring and control of combustion flames. Meas Control 32, 164–168 (1999)

    Article  Google Scholar 

  15. Rafajłowicz, E.: RBF nets in faults localization. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 113–122. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  16. Rafajłowicz, E., Krzyżak, A.: Pattern recognition with ordered labels. Nonlinear Analysis, Theory, Methods & Applications. Series A, Theory and Methods 17(12), 1437–1441 (2009)

    Article  Google Scholar 

  17. Rafajłowicz, E.: Two stage control algorithm for industrial processes using camera. Bayesian theoretic approach, Preprint Institute of Computer Eng., control and Robotics (2013)

    Google Scholar 

  18. Rutkowski, L.: Adaptive Probabilistic Neural Networks for Pattern Classification in Time-Varying Environment. IEEE Trans. Neural Networks 15(4), 811–827 (2004)

    Article  MathSciNet  Google Scholar 

  19. Rutkowski, L.: Generalized Regression Neural Networks in Time-Varying Environment. IEEE Trans. Neural Networks 15(3), 576–596 (2004)

    Article  Google Scholar 

  20. Skubalska-Rafajłowicz, E.: Pattern Recognition Algorithms Based on Space-Filling Curves and Orthogonal Expansions. IEEE Trans. Information Theory 47, 1915–1927 (2001)

    Article  MATH  Google Scholar 

  21. Skubalska-Rafajłowicz, E.: RBF Neural Network for Probability Density Function Estimation and Detecting Changes in Multivariate Processes. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 133–141. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  22. Xu, L., Krzyżak, A., Yuille, A.: On Radial Basis Function Nets and Kernel Regression: Statistical Consistency, Convergence Rates and Receptive Field Size. Neural Networks 4, 609–628 (1994)

    Article  Google Scholar 

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Rafajłowicz, E., Pawlak-Kruczek, H., Rafajłowicz, W. (2014). Statistical Classifier with Ordered Decisions as an Image Based Controller with Application to Gas Burners. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2014. Lecture Notes in Computer Science(), vol 8467. Springer, Cham. https://doi.org/10.1007/978-3-319-07173-2_50

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  • DOI: https://doi.org/10.1007/978-3-319-07173-2_50

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07172-5

  • Online ISBN: 978-3-319-07173-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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