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References
Yu. N. Dnestrovsky and D. P. Kostomarov,Mathematical Plasma Simulation [in Russian], Nauka, Moscow (1982).
Yu. Liu “Numerical investigation of neural network training algorithms,”Vestn. Mosk. Univ., Ser. Vychisl. Mat. Kibern., No. 4, 51–56 (1994).
M. Minsky, and S. Papert,Perceptrons. An Introduction to Computational Geometry, The MIT Press, New York (1969).
D. Yu. Pavlov, “Neural network approach to the solution of an inverse coefficient problem,”Vestn. Mosk. Univ., Ser. Vychisl. Mat. Kibern., No. 4, 44–51 (1994).
A. N. Tikhonov and V. Ya. Arsenin,Methods of Solving Ill-Posed Problems [in Russian], Nauka, Moscow (1979).
E. Michael Azoff,Neural Network Time Series Forecasting of Financial Markets, John Wiley & Sons Ltd., West Sussex (1994).
Jacques Blum,Numerical Simulation and Optimal Control in Plasma Physics, John Wiley & Sons Ltd., Paris (1989).
S. E. Fahlman and C. Lebiere, “The cascade-correlation learning architecture,”Advances in Neural Information Processing Systems,2, 524–532 (1990).
D. E. Rumelhart, G. E. Hinton, and R. J. Williams, “Learning representations by backpropagating errors,”Nature,323, 533–536 (1986).
Ito Yoshifusa, “Approximation of continuous functions ofR d by linear combinations of shifted rotations of a sigmoid function with and without scaling,”Neural Networks, No. 5, 105–115 (1992).
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 31, Computing Mathematics and Cybernetics-2, 1995.
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Pavlov, D.Y. Neural network approach to the solution of the inverse problem of plasma boundary determination. J Math Sci 89, 1391–1405 (1998). https://doi.org/10.1007/BF02355443
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DOI: https://doi.org/10.1007/BF02355443