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Multi-layer Perceptron and Radial Basis Function for Modeling Interstate Conflict

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Abstract

This chapter introduces and then compares the multi-layer perceptron neural network to the radial basis function neural network to help understand and predict interstate conflict. These two techniques are described in detail and justified with a review of relevant literature and they are implemented to interstate conflict. The results obtained from the implementation of these techniques demonstrate that the multi-layer perceptron neural network is better at predicting interstate conflict than the radial basis function network. This is mainly due to the cross-coupled chartacteristics of the multi-layer perceptron’s network compared to the radial basis function network.

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References

  • Achili, B., Daachi, B., Ali-Cherif, A., Amirat, Y.: Combined multi-layer perceptron neural network and sliding mode technique for parallel robots control: An adaptive approach. In: Proceedings of the International Joint Conference on Neural Networks, pp. 28–35, Orlando (2009)

    Google Scholar 

  • Au, Y.H., Eissa, J.S., Jones, B.E.: Receiver operating characteristic analysis for the selection of threshold values for detection of capping in powder compression. Ultrasonics 42, 149–153 (2004)

    Article  Google Scholar 

  • Baddari, K., Aifa, T., Djarfour, N., Ferahtia, J.: Application of a radial basis function artificial neural network to seismic data inversion. Comp. Geosci. 35, 2338–2344 (2009)

    Article  Google Scholar 

  • Beiden, S.V., Wagner, R.F., Campbell, G.: Components-of-variance models and multiple-bootstrap experiments: An alternative method for random-effects, receiver operating characteristic analysis. Acad. Radiol. 7, 341–349 (2000)

    Article  Google Scholar 

  • Bernardo-Torres, A., GĂłmez-Gil, P.: One-step forecasting of seismograms using multi-layer perceptrons. In: Proceedings of the 6th International Conference on Electrical Engineering, Computing Science and Automotive Control, pp. 1–4 (2009)

    Google Scholar 

  • Bishop, C.M.: Neural Networks for Pattern Recognition. Oxford University Press, Oxford (1995)

    Google Scholar 

  • Brown, C.D., Davis, H.T.: Receiver operating characteristics curves and related decision measures: A tutorial. Chemom. Intell. Lab. Syst. 80, 24–38 (2006)

    Article  Google Scholar 

  • Buhmann, M.D., Ablowitz, M.J.: Radial Basis Functions: Theory and Implementations. Cambridge University Press, Cambridge (2003)

    Book  MATH  Google Scholar 

  • Buntine, W.L., Weigend, A.S.: Bayesian back-propagation. Complex. Syst. 5, 603–643 (1991)

    MATH  Google Scholar 

  • Burnham, K.P., Anderson, D.R.: Model Selection and Multimodel Inference: A Practical-Theoretic Approach. Springer, Berlin (2002)

    Google Scholar 

  • Chang, J., Luo, Y., Su, K.: GPSM: A generalized probabilistic semantic model for ambiguity resolution. In: Proceedings of the 30th Annual Meeting on Association for Computing, pp. 177–184 (1992)

    Google Scholar 

  • Colaco, M.J., Dulikravich, G.S., Orlande, H.R.B.: Magnetohydrodynamic simulations using radial basis functions. Int. J. Heat Mass Transf. 52, 5932–5939 (2009)

    Article  MATH  Google Scholar 

  • Coppola Jr., E., Szidarovszky, F.: Conflict between water supply and environmental health risk: A computational neural network approach. Int. Game Theory Rev. 6, 475–492 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  • Crossingham, B., Marwala, T., Lagazio, M.: Optimised rough sets for modelling interstate conflict. In: Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, pp. 1198–1204 (2008)

    Google Scholar 

  • Devijver, P.A., Kittler, J.: Pattern Recognition: A Statistical Approach. Prentice-Hall, London (1982)

    MATH  Google Scholar 

  • Dorfman, D.D., Berbaum, K.S., Lenth, R.V.: Multireader, multicase receiver operating characteristic methodology: A bootstrap analysis. Acad. Radiol. 2, 626–633 (1995)

    Article  Google Scholar 

  • Duta, M.C., Duta, M.D.: Multi-objective turbomachinery optimization using a gradient-enhanced multi-layer perceptron. Int. J. Numer. Methods Fluid. 61, 591–605 (2009)

    Article  MATH  Google Scholar 

  • Fisch, D., Hofmann, A., Sick, B.: On the versatility of radial basis function neural networks: A case study in the field of intrusion detection. Inf. Sci. 180, 2421–2439 (2010)

    Article  Google Scholar 

  • Freeman, J., Skapura, D.: Neural Networks: Algorithms, Applications and Programming Techniques. Addison-Wesley, Reading (1991)

    MATH  Google Scholar 

  • Garg, S., Patra, K., Khetrapal, V., Pal, S.K., Chakraborty, D.: Genetically evolved radial basis function network based prediction of drill flank wear. Eng. Appl. Artif. Intell. 23, 1112–1120 (2010)

    Article  Google Scholar 

  • Ghomi, M.G., Mahdi-Goodarzi, M.: Peak load forecasting of electric utilities for west province of IRAN by using neural network without weather information. In: Proceedings of the 12th International Conference on Computer Modelling and Simulation, pp. 28–32 (2010)

    Google Scholar 

  • Goel, T., Stander, N.: Comparing three error criteria for selecting radial basis function network topology. Comput. Methods Appl. Mech. Eng 198, 2137–2150 (2009)

    Article  MathSciNet  Google Scholar 

  • Golub, G.H., van Loan, C.F.: Matrix Computation. Johns Hopkins University Press, Baltimore (1996)

    Google Scholar 

  • Halpern, E.J., Albert, M., Krieger, A.M., Metz, C.E., Maidment, A.D.: Comparison of receiver operating characteristic curves on the basis of optimal operating points. Acad. Radiol. 3, 245–253 (1996)

    Article  Google Scholar 

  • Hartigan, J.A.: Clustering Algorithms. Wiley, Englewood Cliffs (1975)

    MATH  Google Scholar 

  • Hartigan, J.A., Wong, M.A.: A K-Means clustering algorithm. Appl. Stat. 28, 100–108 (1979)

    Article  MATH  Google Scholar 

  • Hassoun, M.H.: Fundamentals of Artificial Neural Networks. MIT Press, Cambridge (1995)

    MATH  Google Scholar 

  • Haykin, S.: Neural Networks. Prentice-Hall, Englewood Cliffs (1999)

    MATH  Google Scholar 

  • He, T., Dong, Z.Y., Meng, K., Wang, H., Oh, Y.T.: Accelerating multi-layer perceptron based short-term demand forecasting using graphics processing units. Trans & Distr Conf & Expo: Asia and Pacific: 1–4 (2009)

    Google Scholar 

  • Hervas-Martinez, C., Gutierrez, P.A., Pena-Barragan, J.M., Jurado-Exposito, M., Lopez-Granados, F.: A logistic radial basis function regression method for discrimination of cover crops in olive orchards. Expert Syst. Appl. 37, 8432–8444 (2010)

    Article  Google Scholar 

  • Hipel, K.W., Meister, D.B.: Conflict analysis methodology for modelling coalitions in multilateral negotiations. Inf. Decis. Technol. Amsterdam 19, 85–103 (1994)

    MATH  Google Scholar 

  • Hu, X., Weng, Q.: Estimating impervious surfaces from medium spatial resolution imagery using the self-organizing Map and Multi-layer Perceptron Neural Networks. Remote Sens. Environ 113, 2089–2102 (2009)

    Article  Google Scholar 

  • Ikuta, C., Uwate, Y., Nishio, Y.: Chaos glial network connected to multi-layer perceptron for solving two-spiral problem. In: Proceeding of IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems, pp. 1360–1363 (2010)

    Google Scholar 

  • Iswaran, N., Percy, D.F.: Conflict analysis using bayesian neural networks and generalized linear models. J. Oper. Res. Soc. 61, 332–341 (2010)

    Article  MATH  Google Scholar 

  • Janghel, RR., Shukla, A., Tiwari, R., Kala, R.: Breast cancer diagnosis using artificial neural network models. In: Proceedings of the 3rd International Conference on Information Science and Interaction Science, pp. 89–94 (2010)

    Google Scholar 

  • Kagoda, P.A., Ndiritu, J., Ntuli, C., Mwaka, B.: Application of radial basis function neural networks to short-term streamflow forecasting. Phys. Chem. Earth 35, 571–581 (2010)

    Google Scholar 

  • Karami, A.R., Ahmadian-Attari, M., Tavakoli, H.: Multi-layer perceptron neural networks decoder for LDPC codes. In: Proceeding of the 5th International Conference on Wireless Communications, Networking and Mobile Computing, pp. 1–4 (2009)

    Google Scholar 

  • Kohavi, R.: A study of cross-validation and bootstrap for accuracy estimation and model selection. In: Proceedings of the 4th International Joint Conference on Artificial Intelligence, pp. 1137–1143 (1995)

    Google Scholar 

  • Kowalski, C.: Using adaptive neural networks for situation recognition in high- and low-intensity conflict. In: Proceedings of the International Joint Conference on Neural Networks, 912p (1992)

    Google Scholar 

  • Krishna, H.S.: Highly accurate multi-layer perceptron neural network for air data system. Defence Sci. J. 59, 670–674 (2009)

    Google Scholar 

  • Kumar, R., Ganguli, R., Omkar, S.N.: Rotorcraft parameter estimation using radial basis function neural network. Appl. Math. Comput. 216, 584–597 (2010)

    Article  MATH  Google Scholar 

  • Kushwaha, SK., Shakya, M.: Multi-layer perceptron architecture for tertiary structure prediction of helical content of proteins from peptide sequences. In: Proceedings of the International Conference on Advances in Recent Technologies in Communication and Computing, pp. 465–467 (2009)

    Google Scholar 

  • Lasko, T.A., Bhagwat, J.G., Zou, K.H., Ohno-Machado, L.: The use of receiver operating characteristic curves in biomedical informatics. J. Biomed. Inform. 38, 404–415 (2005)

    Article  Google Scholar 

  • Leke, B., Marwala, T., Tettey, T.: Using inverse neural network for HIV adaptive control. Int. J. Comput. Intell. Res 3, 11–15 (2007)

    Google Scholar 

  • Li, X.M., Xiao, R.B., Yuan, S.H., Chen, J.A., Zhou, J.X.: Urban total ecological footprint forecasting by using radial basis function neural networks: A case study of Wuhan city, China. Ecol. Indic. 10, 241–248 (2010)

    Article  Google Scholar 

  • Lind, P.A., Marks, L.B., Hollis, D., Fan, M., Zhou, S.M., Munley, M.T., Shafman, T.D., Jaszczak, R.J., Coleman, R.E.: Receiver operating characteristic curves to assess predictors of radiation-induced symptomatic lung injury. Int. J. Radiat. Oncol. Biol. Phys. 54, 340–347 (2002)

    Google Scholar 

  • Lloyd, S.O.: Least squares quantization in PCM. IEEE Trans. Inf. Theory 28, 129–137 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  • MacKay, D.: Bayesian methods for adaptive models. PhD thesis, California Institute of Technology (1991)

    Google Scholar 

  • MacKay, D.J.C.: Bayesian methods for adaptive models, 2nd edn. PhD thesis, California University of Technology (1992)

    Google Scholar 

  • Marwala, T.: On damage identification using a committee of neural networks. J. Eng. Mech. 126, 43–50 (2000)

    Article  Google Scholar 

  • Marwala, T.: Probabilistic fault identification using a committee of neural networks and vibration data. J. Aircraft 38, 138–146 (2001)

    Article  Google Scholar 

  • Marwala, T.: Fault classification using pseudo modal energies and neural networks. Am. Inst. Aeronaut. Astronaut. J. 41, 82–89 (2003)

    Google Scholar 

  • Marwala, T.: Bayesian training of neural network using genetic programming. Pattern Recognit. Lett. 28, 1452–1458 (2007)

    Article  Google Scholar 

  • Marwala, T.: Computational Intelligence for Missing Data Imputation, Estimation and Management: Knowledge Optimization Techniques. IGI Global Publications, New York (2009)

    Book  Google Scholar 

  • Marwala, T., Hunt, H.E.M.: Fault identification using finite element models and neural networks. Mech. Syst. Signal Process. 13, 475–490 (1999)

    Article  Google Scholar 

  • Masci, P., Tedeschi, A.: Modelling and evaluation of a game-theory approach for airborne conflict resolution in omnet++. In: Proceedings of the 2nd International Conference on Dependability, pp.162–165 (2009)

    Google Scholar 

  • Mehrabi, S., Maghsoudloo, M., Arabalibeik, H., Noormand, R., Nozari, Y.: Application of multilayer perceptron and radial basis function neural networks in differentiating between chronic obstructive pulmonary and congestive heart failure diseases. Expert Syst. Appl. 36, 6956–6959 (2009)

    Article  Google Scholar 

  • Metz, C.E.: Receiver operating characteristic analysis: A tool for the quantitative evaluation of observer performance and imaging systems. J. Am. Coll. Radiol. 3, 413–422 (2006)

    Article  Google Scholar 

  • Moffat, J., Medhurst, J.: Modelling of human decision-making in simulation models of conflict using experimental gaming. Eur. J. Oper. Res. 196, 1147–1157 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  • Mohamed, N.: Detection of epileptic activity in the EEG using artificial neural networks M.Sc. (Electrical Engineering) thesis University of the Witwatersrand (2003)

    Google Scholar 

  • Mohamed, S.: Dynamic protein classification: Adaptive models based on incremental learning strategies. Unpublished Master’s Thesis, University of the Witwatersrand, Johannesburg (2006)

    Google Scholar 

  • Mohamed, N., Rubin, D., Marwala, T.: Detection of epileptiform activity in human EEG signals using Bayesian neural networks. Neural Inf. Process – Lett. Rev. 10, 1–10 (2006)

    Google Scholar 

  • Moller, M.F.: A scaled conjugate gradient algorithm for fast supervised learning. Neural Netw. 6, 525–533 (1993)

    Article  Google Scholar 

  • Moore, E.H.: On the reciprocal of the general algebraic matrix. Bull. Am. Math. Soc. 26, 394–395 (1920)

    Google Scholar 

  • Msiza, I.S., Nelwamondo, F.V., Marwala, T.: Water demand forecasting using multi-layer perceptron and radial basis functions. In: Proceedings of the IEEE International Conference on Neural Networks, pp. 13–18 (2007)

    Google Scholar 

  • Mubareka, S., Ehrlich, D.: Identifying and modelling environmental indicators for assessing population vulnerability to conflict using ground and satellite data. Ecol. Indic. 10, 493–503 (2010)

    Article  Google Scholar 

  • Nabney, I.T.: Netlab: Algorithms for Pattern Recognition. Springer, Cambridge (2001)

    Google Scholar 

  • Narasinga-Rao, M.R., Sridhar, G.R., Madhu, K., Rao, A.A.: A clinical decision support system using multi-layer perceptron neural network to predict quality of life in diabetes. Diabetes Metab. Syndr.: Clin. Res. Rev. 4(1), 57–59 (2010)

    Google Scholar 

  • Neal, R.M.: Bayesian training of back-propagation networks by the hybrid monte carlo method. Technical Report CRG-TR-92-1, Department of Computer Science, University of Toronto (1992)

    Google Scholar 

  • Pasero, E., Raimondo, G., Ruffa, S.: MULP: A multi-layer perceptron application to long-term, out-of-sample time series prediction. Lect. Notes Comput. Sci. 6064, 566–575 (2010)

    Article  Google Scholar 

  • Patel, P., Marwala, T.: Neural networks, fuzzy inference systems and adaptive-neuro fuzzy inference systems for financial decision making. Lect. Notes Comput. Sci. 4234, 430–439 (2006)

    Article  Google Scholar 

  • Pearlmutter, B.A.: Fast exact multiplication by the Hessian. Neural Comput. 6, 147–160 (1994)

    Article  Google Scholar 

  • Penrose, R.: A generalized inverse for matrices. Proc. Camb. Philos. Soc. 51, 406–413 (1955)

    Article  MathSciNet  MATH  Google Scholar 

  • Pontin, D.R., Worner, S.P., Watts, M.J.: Using time lagged input data to improve prediction of stinging jellyfish occurrence at New Zealand beaches by multi-layer perceptrons. Lect. Notes. Comput. Sci. 5506, 909–916 (2009)

    Article  Google Scholar 

  • Preseren, P.P., Stopar, B.: GPS orbit approximation using radial basis function networks. Comput. Geosci. 35, 1389–1396 (2009)

    Article  Google Scholar 

  • Sancho-GĂłmez, J.L., GarcĂ­a-Laencina, P.J., Figueiras-Vidal, A.R.: Combining missing data imputation and pattern classification in a multi-layer perceptron. Intell. Autom. Soft Comput. 15, 539–553 (2009)

    Google Scholar 

  • Schrodt, P.A.: Prediction of interstate conflict outcomes using a neural network. Soc. Sci. Comput. Rev 9, 359–380 (1991)

    Article  Google Scholar 

  • Siddiqui, A.M., Masood, A., Saleem, M.: A locally constrained radial basis function for registration and warping of images. Pattern Recognit. Lett. 30, 377–390 (2009)

    Article  Google Scholar 

  • Sug, H.: A pilot sampling method for multi-layer perceptrons. In: Proceedings of the 13th WSEAS International Conference on Computers, pp. 629–633 (2009)

    Google Scholar 

  • Sug, H.: Investigating better multi-layer perceptrons for the task of classification. WSEAS Trans. Comput. 9, 475–485 (2010)

    Google Scholar 

  • Tettey, T., Marwala, T.: Conflict modelling and knowledge extraction using computational intelligence methods. In: Proceedings of the 11th International Conference on Intelligence Engineering Systems, pp. 161–166 (2007)

    Google Scholar 

  • Vilakazi, B.C., Marwala, T.: Condition monitoring using computational intelligence. In: Laha, D., Mandal, P. (eds.) Handbook on Computational Intelligence in Manufacturing and Production Management, illustrated edn. IGI Publishers, New York (2007)

    Google Scholar 

  • Watts, M.J., Worner, S.P.: Predicting the distribution of fungal crop diseases from abiotic and biotic factors using multi-layer perceptrons. Lect. Notes Comput. Sci. 5506, 901–908 (2009)

    Article  Google Scholar 

  • Wu, D., Warwick, K., Ma, Z., Burgess, J.G., Pan, S., Aziz, T.Z.: Prediction of parkinson’s disease tremor onset using radial basis function neural networks. Expert Syst. Appl. 37, 2923–2928 (2010)

    Article  Google Scholar 

  • Yang, X.H., Wang, F.M., Huang, J.F., Wang, J.W., Wang, R.C., Shen, Z.Q., Wang, X.Z.: Comparison between radial basis function neural network and regression model for estimation of rice biophysical parameters using remote sensing. Pedosphere 19, 176–188 (2009)

    Article  Google Scholar 

  • Yazdanmehr, M., Anijdan, S.H.M., Samadi, A., Bahrami, A.: Mechanical behavior modeling of nanocrystalline NiAl compound by a feed-forward back-propagation multi-layer perceptron ANN. Comput. Mater. Sci. 44, 1231–1235 (2009)

    Article  Google Scholar 

  • Yilmaz, A.S., Ă–zer, Z.: Pitch angle control in wind turbines above the rated wind speed by multi-layer perceptron and radial basis function neural networks. Expert Syst. Appl. 36, 9767–9775 (2009)

    Article  Google Scholar 

  • Yolles, M.I.: Towards simulation of the conflict modelling cycle. In: Proceedings of the IEEE International Conference on System, Man and Cybernetics, pp. 401–411 (1993)

    Google Scholar 

  • Yonelinas, A.P., Parks, C.M.: Receiver operating characteristics (ROCs) in recognition memory: A review. Psychol. Bull. 133, 800–832 (2007)

    Article  Google Scholar 

  • Yoon, Y., Peterson, L.L.: Artificial neural networks: An emerging new technique. In: Proceedings of the ACM SIGBDP Conference on Trends and Directions in Expert Systems, pp. 417–422 (1990)

    Google Scholar 

  • Zadeh, M.R., Amin, S., Khalili, D., Singh, V.P.: Daily outflow prediction by multi layer perceptron with logistic sigmoid and tangent sigmoid activation functions. Water Res. Manag. 24, 2673–2688 (2010)

    Article  Google Scholar 

  • Zhang, P., Li, H.: Hybrid model of continuous hidden markov model and multi-layer perceptron in speech recognition. In: Proceedings of the 2nd International Conference on Intelligent Computing Technology and Automotive, pp. 62–65 (2009)

    Google Scholar 

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Marwala, T., Lagazio, M. (2011). Multi-layer Perceptron and Radial Basis Function for Modeling Interstate Conflict. In: Militarized Conflict Modeling Using Computational Intelligence. Advanced Information and Knowledge Processing. Springer, London. https://doi.org/10.1007/978-0-85729-790-7_3

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