Abstract
This paper describes current research work in the application of neural networks to conditional spatial simulation. A number of possible approaches are suggested and an example simulation using a feedforward, error back propagation network is shown. The advantages and disadvantages of the neural network approach are discussed and some possible directions for further work are suggested.
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References
Acldey, D.H., Hinton, G.E. and Sejnowski, T.J. (1985). A learning algorithm for Boltzmann machines. Cognitive Science, 9, pp 147–169.
Ash, T. (1989) Dynamic node creation in back-propagation networks. ICS Report 8901, San Diego.
David, M. (1988) Handbook of applied geostatistical ore reserve estimation. Developments in Geomathematics No. 6, Elsevier, Netherlands, 216p.
Davalo, E. and Nairn, P. (1991) Neural networks. MacMillan Press, London. 145pp
Deutsch, C. and Journel, A.G. (1992) GSLIB: Geostatistical software library and user’s guide. Oxford University Press, New York.
Dowd, P.A. (1992) A review of recent developments in geostatistics. Computers and Geosciences, 17, no. 10, pp 1481–1500.
Fahlman, S.E. and Lebiere, C. (1990) The cascade-correlation learning architecture, in Touretetzky, D. (ed.) Advances in neural information processing systems, 2, Morgan Kaufmann, San Mateo, USA. pp 524–532.
Farmer, C. (1991) Numerical rocks. in Fayers, J. and King, P. (eds.) The mathematical generation of reservoir geology. Oxford University Press, New York.
Grossberg, S. (1988) Neural networks and natural intelligence. MIT Bradford Press.
Hopfield, J.J. (1982) Neural networks and physical systems with emergent collective computational abilities. Proc. National Academy of Sciences, USA, 79, pp 2554–2558.
Hopfield, J. J. and Tank, D.W. (1985) Neural computation of decisions in optimisation problems. Biological Cybernetics, 52, pp 141–152.
Kohonen, T. (1978) Associative memory-system theoretical approach. Springer, Berlin.
Kohonen, T. (1982) Self-organised formation of topologically correct feature maps. Biological Cybernetics, 43, pp 59–69.
Kohonen, T. (1990) Self-organisation and associative memory. Springer-Verlag. Berlin.
Korn, G. A. (1991) Neural network experiments on personal computers and workstations. MIT Press, Bradford Book. 248pp.
Kosko, B. (1988) Bidirectional Associative Memories. IEEE Transactions on Systems, Man and Cybernetics, 18, no. 1.
McCulloch, W.S. and Pitts, W. (1943) A logical calculus of the ideas immanent in nervous activity. Bulletin of Mathematical Biophysics, 5, pp 115–133.
Müller, B. and Reinhardt, J. (1991) Neural networks: an introduction. Springer, Berlin.
Rumelhart, D.E., Hinton, G.E. and Williams, R.J. (1986a) Learning representations by back-propagating errors. Nature 323, p 533.
Rumelhart, D.E., Hinton, G.E. and Williams, R.J. (1986b) Learning internal representations by error propagation. in McClelland, J.L. and Rumelhart, D.E. (eds.) (1986) Parallel distributed processing: explorations in the microstructures of cognition. MIT Press. vol 1, p318.
Szu, H. (1987a) Fast simulated annealing. in Denker, J. (ed.) Neural networks for computing. AIP Conference. 15, pp 420–425, Snow Bird publications, USA.
Szu, H. (1987b) Non-convex optimisation. SP1E 968, pp59–65.
Wu, X. and Zhou, Y. (1993) Reserve estimation using neural network techniques. Computers and Geosciences, 19, 4, pp 567–576.
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© 1994 Springer Science+Business Media Dordrecht
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Dowd, P.A. (1994). The use of Neural Networks for Spatial Simulation. In: Dimitrakopoulos, R. (eds) Geostatistics for the Next Century. Quantitative Geology and Geostatistics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0824-9_22
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DOI: https://doi.org/10.1007/978-94-011-0824-9_22
Publisher Name: Springer, Dordrecht
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