Abstract
A brief review is given of the application of concepts and techniques developed for the statistical physics of disordered many-body systems to the understanding and quantification of the performance and potential of neural networks, covering both information retrieval and learning, both steady state and non-equilibrium dynamics.
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References
Hopfield, J.J. (1982) Neural networks and physical systems with emergent collective computational abilities Proc. Natl. Acad. Sci. USA, 79, 2554–2558
Amit, D.J., Gutfreund H. and Sompolinsky, H. (1985) Statistical mechanics of neural networks near saturation Ann. Phys. 173, 30–67
Coolen, A.C.C. and Sherrington, D. (1994) Order parameter flow in the fully connected Hopfield model near saturation Phys. Rev. E 49, 1921–1934
Sherrington, D and Coolen, A.C.C. (1994) Evolution of order parameters in disordered spin systems — a closure procedure, Proceedings of Sitges Conference on 25 years of non-equilibrium statistical mechanics, to be published.
Parisi, G. (1979) Infinite number of order parameters for spin-glasses Phys. Rev. Lett. 43, 1754–1756
Coolen. A.C.C. (1995) private communication
Bosch, R. Coolen, A.C.C. and Sherrington, D. unpublished
Sherrington, D. and Kirkpatrick, S. (1975) Solvable model of a spin glass Phys. Rev. Lett. 35, 1792–1795
Coolen, A.C.C. and Sherrington, D. (1994) Order parameter flows in the SK spin glass I: replica symmetry J. Phys A 27, 7687–7707.
Laughton, S.N., Coolen, A.C.C. and Sherrington, D. (1995) in preparation
Penney, R.W., Coolen, A.C.C. and Sherrington, D. (1993) Coupled dynamics of fast spins and slow interactions in neural networks and spin systems J.Phys 426, 3681–3695
Papadimitriou, C.H. and Steglitz, K. (1982) Combinatorial Optimization Prentice-Hall.
Wong, K.Y.M. and Sherrington, D. (1990) Optimally adapted attractor neural networks in the presence of noise J.Phys A 23, 4659–4672
Sherrington, D (1993) Neural networks: the spin glass approach, in Mathematical Approaches to Neural Networks edited by J.G. Taylor (Elsevier) 261–291
Coolen, A.C.C. and Sherrington, D. (1993) Dynamics of Attractor Neural Networks, in Mathematical Approaches to Neural Networks edited by J.G. Taylor (Elsevier) 293–305
Sherrington, D. (1992) Spin Glasses, in Electronic Phase Transitions ed. W. Hanke and Yu.V. Kopaev (North Holland) 80–133
Watkin, T.L.H., Rau, A. and Biehl, M. (1993) Statistical Mechanics of Learning a Rule, Revs. Mod. Phys. 65, 499–556
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© 1996 Kluwer Academic Publishers
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Sherrington, D. (1996). Statistical Physics of Neural Networks. In: Riste, T., Sherrington, D. (eds) Physics of Biomaterials: Fluctuations, Selfassembly and Evolution. NATO ASI Series, vol 322. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1722-4_14
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DOI: https://doi.org/10.1007/978-94-009-1722-4_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7271-7
Online ISBN: 978-94-009-1722-4
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