A Quantum Implementation Model for Artificial Neural Networks

Article, Preprint English OPEN
Ammar Daskin;

The learning process for multilayered neural networks with many nodes makes heavy demands on computational resources. In some neural network models, the learning formulas, such as the Widrow–Hoff formula, do not change the eigenvectors of the weight matrix while flattin... View more
  • References (36)
    36 references, page 1 of 4

    [1] S. S. Haykin, Neural networks and learning machines. Pearson Upper Saddle River, NJ, USA:, 2009, vol. 3.

    [2] H. Abdi, “Linear algebra for neural networks,” International encyclopedia of the social and behavioral sciences. Elsevier, Oxford UK, 2001.

    [3] H. Abdi, D. Valentin, B. Edelman, and A. J. O'Toole, “More about the difference between men and women: evidence from linear neural networks and the principal-component approach,” Perception, vol. 24, no. 5, pp. 539-562, 1995.

    [4] B. Widrow, M. E. Hoff et al., “Adaptive switching circuits,” in IRE WESCON convention record, vol. 4, no. 1. New York, 1960, pp. 96- 104.

    [5] H. Abdi, D. Valentin, B. Edelman, and A. J. O'Toole, “A widrow-hoff learning rule for a generalization of the linear auto-associator,” Journal of Mathematical Psychology, vol. 40, no. 2, pp. 175-182, 1996.

    [6] S. Lloyd, “Ultimate physical limits to computation,” Nature, vol. 406, no. 6799, pp. 1047-1054, 2000.

    [7] R. Feynman, “Simulating physics with computers,” International Journal of Theoretical Physics, vol. 21, pp. 467-488, 1982, 10.1007/BF02650179.

    [8] C. H. Bennett, E. Bernstein, G. Brassard, and U. Vazirani, “Strengths and weaknesses of quantum computing,” SIAM Journal on Compututing, vol. 26, no. 5, pp. 1510-1523, 1997.

    [9] D. Deutsch, “Quantum theory, the Church-Turing principle and the universal quantum computer,” Proceedings of the Royal Society of London A: Mathematical and Physical Sciences, vol. 400, no. 1818, pp. 97-117, 1985.

    [10] P. W. Shor, “Algorithms for quantum computation: Discrete logarithms and factoring,” in Foundations of Computer Science, 1994 Proceedings., 35th Annual Symposium on. IEEE, 1994, pp. 124-134.

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