Abstract
In this paper a neural network learning method with type-2 fuzzy weight adjustment is proposed. The mathematical analysis of the proposed learning method architecture and the adaptation of type-2 fuzzy weights are presented. The proposed method is based on research of recent methods that handle weight adaptation and especially the use of fuzzy weights. In this work an ensemble neural network of three neural networks and the use of average integration to obtain the final result is presented. The proposed approach is applied to a case of time series prediction to illustrate the advantage of using type-2 fuzzy weights.
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References
Cazorla, M., Escolano, F.: Two Bayesian Methods for Junction Detection. IEEE Transaction on Image Processing 12(3), 317–327 (2003)
Martinez, G., Melin, P., Bravo, D., Gonzalez, F., Gonzalez, M.: Modular Neural Networks and Fuzzy Sugeno Integral for Face and Fingerprint Recognition. In: Abraham, A., de Baets, B., Köppen, M., Nickolay, B. (eds.) Advances in Soft Computing. AISC, vol. 34, pp. 603–618. Springer, Heidelberg (2006)
De Wilde, P.: The Magnitude of the Diagonal Elements in Neural Networks. Neural Networks 10(3), 499–504 (1997)
Salazar, P.A., Melin, P., Castillo, O.: A New Biometric Recognition Technique Based on Hand Geometry and Voice Using Neural Networks and Fuzzy Logic. In: Castillo, O., Melin, P., Kacprzyk, J., Pedrycz, W. (eds.) Soft Computing for Hybrid Intelligent Systems. SCI, vol. 154, pp. 171–186. Springer, Heidelberg (2008)
Phansalkar, V.V., Sastrq, P.S.: Analysis of the Back-Propagation Algorithm with Momentum. IEEE Transactions on Neural Networks 5(3), 505–506 (1994)
Castillo, O., Melin, P.: Soft Computing for Control of Non-Linear Dynamical Systems. Springer, Heidelberg (2001)
Zadeh, L.A.: Fuzzy Sets. Journal of Information and Control 8, 338–353 (1965)
Melin, P., Castillo, O.: Hybrid Intelligent Systems for Pattern Recognition Using Soft Computing, pp. 2–3. Springer, Heidelberg (2005)
Okamura, M., Kikuchi, H., Yager, R., Nakanishi, S.: Character diagnosis of fuzzy systems by genetic algorithm and fuzzy inference. In: Proceedings of the Vietnam-Japan Bilateral Symposium on Fuzzy Systems and Applications, Halong Bay, Vietnam, pp. 468–473 (1998)
Wang, W., Bridges, S.: Genetic Algorithm Optimization of Membership Functions for Mining Fuzzy Association Rules. Department of Computer Science Mississippi State University, March 2 (2000)
Jang, J., Sun, C., Mizutani, E.: Neuro-Fuzzy and Soft Computing. Prentice Hall, New Jersey (1997)
Castillo, O., Melin, P.: Type-2 Fuzzy Logic Theory and Applications, pp. 29–43. Springer, Berlin (2008)
Castro, J.R., Castillo, O., Melin, P.: An Interval Type-2 Fuzzy Logic Toolbox for Control Applications. In: FUZZ-IEEE, pp. 1–6 (2007)
Castro, J.R., Castillo, O., Melin, P., Rodriguez-Diaz, A.: Building Fuzzy Inference Systems with a New Interval Type-2 Fuzzy Logic Toolbox. Transactions on Computational Science 1, 104–114 (2008)
Hidalgo, D., Castillo, O., Melin, P.: Type-1 and Type-2 Fuzzy Inference Systems as Integration Methods in Modular Neural Networks for Multimodal Biometry and Its Optimization with Genetic Algorithms. In: Castillo, O., Melin, P., Kacprzyk, J., Pedrycz, W. (eds.) Soft Computing for Hybrid Intelligent Systems. SCI, vol. 154, pp. 89–114. Springer, Heidelberg (2008)
Sanchez, D., Melin, P.: Optimization of modular neural networks and type-2 fuzzy integrators using hierarchical genetic algorithms for human recognition. In: IFSA 2011, OS-414. Surabaya-Bali, Indonesia (2011)
Sepúlveda, R., Castillo, O., Melin, P., Rodriguez, A., Montiel, O.: Experimental study of intelligent controllers under uncertainty using type-1 and type-2 fuzzy logic. Information Sciences 177(11), 2023–2048 (2007)
Daugman, J.: Statistical Richness of Visual Phase Information: Update on Recognizing Persons by Iris Patterns. International Journal of Computer Vision 45(1), 25–38 (2001)
Roy, K., Bhattacharya, P.: Iris Recognition with Support Vector Machines. In: Zhang, D., Jain, A.K. (eds.) ICB 2005. LNCS, vol. 3832, pp. 486–492. Springer, Heidelberg (2005)
Cho, S., Kim, J.: Iris Recognition Using LVQ Neural Network. In: Wang, J., Yi, Z., Żurada, J.M., Lu, B.-L., Yin, H. (eds.) ISNN 2006. LNCS, vol. 3972, pp. 26–33. Springer, Heidelberg (2006)
Sarhan, A.: Iris Recognition using Discrete Cosine Transform and Artificial Neural Networks. Journal of Computer Science 5, 369–373 (2009)
Abiyev, R., Altunkaya, K.: Neural Network based Biometric Personal Identification with fast iris segmentation. International Journal of Control, Automation and Systems 7(1), 17–23 (2009)
Barbounis, T.G., Theocharis, J.B.: Locally Recurrent Neural Networks for Wind Speed Prediction using Spatial Correlation. Information Sciences 177(24), 5775–5797 (2007)
Gedeon, T.: Additive Neural Networks and Periodic Patterns. Neural Networks 12(4-5), 617–626 (1999)
Meltser, M., Shoham, M., Manevitz, L.: Approximating Functions by Neural Networks: A Constructive Solution in the Uniform Norm. Neural Networks 9(6), 965–978 (1996)
Yeung, D., Chan, P., Ng, W.: Radial Basis Function Network Learning using Localized Generalization Error Bound. Information Sciences 179(19), 3199–3217 (2009)
Casasent, D., Natarajan, S.: A Classifier Neural Net with Complex-Valued Weights and Square-Law Nonlinearities. Neural Networks 8(6), 989–998 (1995)
Draghici, S.: On the Capabilities of Neural Networks using Limited Precision Weights. Neural Networks 15(3), 395–414 (2002)
Neville, R.S., Eldridge, S.: Transformations of Sigma–Pi Nets: Obtaining Reflected Functions by Reflecting Weight Matrices. Neural Networks 15(3), 375–393 (2002)
Yam, J., Chow, T.: A Weight Initialization Method for Improving Training Speed in Feedforward Neural Network. Neurocomputing 30(1-4), 219–232 (2000)
Hagan, M.T., Demuth, H.B., Beale, M.H.: Neural Network Design, p. 736. PWS Publishing, Boston (1996)
Fletcher, R., Reeves, C.M.: Function Minimization by Conjugate Gradients. Computer Journal 7, 149–154 (1964)
Powell, M.J.D.: Restart Procedures for the Conjugate Gradient Method. Mathematical Programming 12, 241–254 (1977)
Beale, E.M.L.: A Derivation of Conjugate Gradients. In: Lootsma, F.A. (ed.) Numerical Methods for Nonlinear Optimization, pp. 39–43. Academic Press, London (1972)
Moller, M.F.: A Scaled Conjugate Gradient Algorithm for Fast Supervised Learning. Neural Networks 6, 525–533 (1993)
Kamarthi, S., Pittner, S.: Accelerating Neural Network Training using Weight Extrapolations. Neural Networks 12(9), 1285–1299 (1999)
Ishibuchi, H., Morioka, K., Tanaka, H.: A Fuzzy Neural Network with Trapezoid Fuzzy Weights, Fuzzy Systems. In: IEEE World Congress on Computational Intelligence, vol. 1, pp. 228–233 (1994)
Ishibuchi, H., Tanaka, H., Okada, H.: Fuzzy Neural Networks with Fuzzy Weights and Fuzzy Biases. In: IEEE International Conference on Neural Networks, vol. 3, pp. 1650–165 (1993)
Feuring, T.: Learning in Fuzzy Neural Networks. In: IEEE International Conference on Neural Networks, vol. 2, pp. 1061–1066 (1996)
Castro, J., Castillo, O., Melin, P., Rodríguez-Díaz, A.: A Hybrid Learning Algorithm for a Class of Interval Type-2 Fuzzy Neural Networks. Information Sciences 179(13), 2175–2193 (2009)
Sánchez, O., González, J.: Access Control Based on Iris Recognition. Technological University Corporation of Bolívar, Faculty of Electrical Engineering, Electronics and Mechatronics, Cartagena of Indias, Monography, pp. 1–137 (November 2003)
Muron, A., Pospisil, J.: The human iris structure and its usages, Czech Republic, Physica, pp. 89–95 (2000)
Ma, L., Wang, Y., Tan, T.: Iris recognition based on multichannel Gabor filtering. In: 5th Asian Conference on Computer Vision, ACCV 2002, Melbourne, Australia, vol. 1, pp. 279–283 (2002)
Database of Human Iris. Institute of Automation of Chinese Academy of Sciences (CASIA). Found on the Web page, http://www.cbsr.ia.ac.cn/english/IrisDatabase.asp
Masek, L., Kovesi, P.: MATLAB Source Code for a Biometric Identification System Based on Iris Patterns. The School of Computer Science and Software Engineering, The University of Western Australia (2003)
Gaxiola, F., Melin, P., López, M.: Modular Neural Networks for Person Recognition using the Contour Segmentation of the Human Iris Biometric Measurement. In: Melin, P., Kacprzyk, J., Pedrycz, W. (eds.) Soft-Computing for Recognition based on Biometrics. SCI, vol. 312, pp. 137–153. Springer, Heidelberg (2010)
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Gaxiola, F., Melin, P., Valdez, F., Castillo, O. (2013). Neural Network with Type-2 Fuzzy Weights Adjustment for Pattern Recognition of the Human Iris Biometrics. In: Batyrshin, I., Mendoza, M.G. (eds) Advances in Computational Intelligence. MICAI 2012. Lecture Notes in Computer Science(), vol 7630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37798-3_23
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DOI: https://doi.org/10.1007/978-3-642-37798-3_23
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