메뉴 건너뛰기




Volumn 9, Issue 4, 1998, Pages 697-704

Effects of noise in training patterns on the memory capacity of the fully connected binary Hopfield neural network: Mean-Field theory and simulations

Author keywords

Associative memory; Hebbian learning; Hopfield; Mean field theory; Memory capacity; Neural network; Training noise

Indexed keywords

ASSOCIATIVE STORAGE; COMPUTER SIMULATION; LEARNING SYSTEMS; STORAGE ALLOCATION (COMPUTER);

EID: 0032122765     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.701182     Document Type: Article
Times cited : (4)

References (29)
  • 1
    • 0027585803 scopus 로고
    • Global convergence and suppression of spurious states of the Hopfield neural networks
    • Apr.
    • S. Abe, "Global convergence and suppression of spurious states of the Hopfield neural networks," IEEE Trans. Circuits Syst. - II, vol. 40, pp. 246-257, Apr. 1993.
    • (1993) IEEE Trans. Circuits Syst. - II , vol.40 , pp. 246-257
    • Abe, S.1
  • 3
    • 0015435130 scopus 로고
    • Learning patters and pattern sequences by self-organizing nets of threshold elements
    • S.-I. Amari, "Learning patters and pattern sequences by self-organizing nets of threshold elements," IEEE Trans. Comput., vol. 21, p. 1197, 1972.
    • (1972) IEEE Trans. Comput. , vol.21 , pp. 1197
    • Amari, S.-I.1
  • 4
    • 33645063980 scopus 로고
    • Statistical mechanics of neural networks near saturation
    • D. J. Amit, H. Gutfreund, and H. Sompolinsky, "Statistical mechanics of neural networks near saturation," Ann. Phys., vol. 173, pp. 30-67, 1987.
    • (1987) Ann. Phys. , vol.173 , pp. 30-67
    • Amit, D.J.1    Gutfreund, H.2    Sompolinsky, H.3
  • 5
    • 84956135322 scopus 로고
    • An exactly solvable asymmetric neural-network model
    • July
    • B. Derrida, E. Gardner, and A. Zippelius, "An exactly solvable asymmetric neural-network model," Europhys. Lett., vol. 4, no. 2, pp. 167-173, July 1987.
    • (1987) Europhys. Lett. , vol.4 , Issue.2 , pp. 167-173
    • Derrida, B.1    Gardner, E.2    Zippelius, A.3
  • 9
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • J. J. Hopfield, "Neural networks and physical systems with emergent collective computational abilities," in Proc. Nat. Academy Sci. USA, vol. 79, 1982, pp. 2554-2558.
    • (1982) Proc. Nat. Academy Sci. USA , vol.79 , pp. 2554-2558
    • Hopfield, J.J.1
  • 10
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • May
    • _, "Neurons with graded response have collective computational properties like those of two-state neurons," in Proc. Nat. Academy Sci. USA, vol. 81, May 1984, pp. 3088-3092.
    • (1984) Proc. Nat. Academy Sci. USA , vol.81 , pp. 3088-3092
  • 11
    • 0037531009 scopus 로고
    • Sequential state generation by model neural networks
    • D. Kleinfeld, "Sequential state generation by model neural networks," in Proc. Nat. Academy Sci. USA, vol. 83, 1986, pp. 9469-9473.
    • (1986) Proc. Nat. Academy Sci. USA , vol.83 , pp. 9469-9473
    • Kleinfeld, D.1
  • 12
    • 0023861743 scopus 로고
    • Bidirectional associative memories
    • Jan./Feb.
    • B. Kosko, "Bidirectional associative memories," IEEE Trans. Syst., Man, Cybern., vol. 18, pp. 49-60, Jan./Feb. 1988.
    • (1988) IEEE Trans. Syst., Man, Cybern. , vol.18 , pp. 49-60
    • Kosko, B.1
  • 13
    • 0015951617 scopus 로고
    • The existence of persistent states in the brain
    • W. A. Little, "The existence of persistent states in the brain," Math. Biosci., vol. 19, pp. 101-120, 1974.
    • (1974) Math. Biosci. , vol.19 , pp. 101-120
    • Little, W.A.1
  • 14
    • 51249194645 scopus 로고
    • A logical calculus of the ideas immanent in nervous activity
    • W. S. McCulloch and W. Pitts, "A logical calculus of the ideas immanent in nervous activity," Math. Biophys., vol. 5, pp. 115-133, 1943.
    • (1943) Math. Biophys. , vol.5 , pp. 115-133
    • McCulloch, W.S.1    Pitts, W.2
  • 15
    • 0024014325 scopus 로고
    • On learning rules and memory storage abilities of asymmetrical neural networks
    • P. Peretto, "On learning rules and memory storage abilities of asymmetrical neural networks," J. Phys., France, vol. 49, pp. 711-726, 1988.
    • (1988) J. Phys., France , vol.49 , pp. 711-726
    • Peretto, P.1
  • 16
    • 0027699647 scopus 로고
    • On the hysteresis and robustness of Hopfield neural networks
    • Nov.
    • D. Schonfeld, "On the hysteresis and robustness of Hopfield neural networks," IEEE Trans. Circuits Syst. - II, vol. 40, pp. 745-748, Nov. 1993.
    • (1993) IEEE Trans. Circuits Syst. - II , vol.40 , pp. 745-748
    • Schonfeld, D.1
  • 17
    • 0016201723 scopus 로고
    • Persistent states of neural networks and the random nature of synaptic transmission
    • G. L. Shaw and R. Vasudevan, "Persistent states of neural networks and the random nature of synaptic transmission," Math. Biosci., vol. 21, pp. 207-217, 1974.
    • (1974) Math. Biosci. , vol.21 , pp. 207-217
    • Shaw, G.L.1    Vasudevan, R.2
  • 18
    • 0001553626 scopus 로고
    • Temporal association in asymmetric neural networks
    • H. Sompolinsky and I. Kanter, "Temporal association in asymmetric neural networks," Phys. Rev. Lett., vol. 57, pp. 2861-2864, 1986.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 2861-2864
    • Sompolinsky, H.1    Kanter, I.2
  • 19
    • 0032099287 scopus 로고    scopus 로고
    • Processing spatio-temporal sequences with any static associative neural network
    • May
    • L. Wang, "Processing spatio-temporal sequences with any static associative neural network," IEEE Trans. Circuit Syst. - II, vol. 5, May 1998.
    • (1998) IEEE Trans. Circuit Syst. - II , vol.5
    • Wang, L.1
  • 20
    • 33748063464 scopus 로고    scopus 로고
    • On the dynamics of discrete-time, continuous-state Hopfield neural networks
    • May
    • _, "On the dynamics of discrete-time, continuous-state Hopfield neural networks," IEEE Trans. Circuits Syst. - II: Analog and Digital Signal Processing, vol. 5, May 1998.
    • (1998) IEEE Trans. Circuits Syst. - II: Analog and Digital Signal Processing , vol.5
  • 21
    • 0031257933 scopus 로고    scopus 로고
    • Noise injection into inputs in sparsely connected Hopfield and winner-take-all neural networks
    • October
    • L. Wang, "Noise injection into inputs in sparsely connected Hopfield and winner-take-all neural networks," IEEE Trans. Syst., Man, Cybern., vol. 27, pp. 868-870, October 1997.
    • (1997) IEEE Trans. Syst., Man, Cybern. , vol.27 , pp. 868-870
    • Wang, L.1
  • 22
    • 0000370625 scopus 로고    scopus 로고
    • Discrete-time convergence theory and updating rules for neural networks with energy functions
    • Mar.
    • L. Wang, "Discrete-time convergence theory and updating rules for neural networks with energy functions," IEEE Trans. Neural Networks, vol. 8, pp. 445-447, Mar. 1997.
    • (1997) IEEE Trans. Neural Networks , vol.8 , pp. 445-447
    • Wang, L.1
  • 23
    • 0001509072 scopus 로고    scopus 로고
    • Oscillatory and chaotic dynamics in neural networks under varying operating conditions
    • Nov.
    • _, "Oscillatory and chaotic dynamics in neural networks under varying operating conditions," IEEE Trans. Neural Networks, vol. 7, pp. 1382-1388, Nov. 1996.
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 1382-1388
  • 24
    • 0012846328 scopus 로고    scopus 로고
    • Suppressing chaos with hysteresis in a higher order neural network
    • Dec.
    • _, "Suppressing chaos with hysteresis in a higher order neural network," IEEE Trans. Circuits Syst. - II, vol. 43, pp. 845-846, Dec. 1996.
    • (1996) IEEE Trans. Circuits Syst. - II , vol.43 , pp. 845-846
  • 25
    • 0025598005 scopus 로고
    • Oscillations and chaos in neural networks: An exactly solvable model
    • Dec.
    • L. Wang, E. E. Pichler, and J. Ross, "Oscillations and chaos in neural networks: an exactly solvable model," in Proc. Nat. Academy Sci. USA, vol. 87, Dec. 1990, pp. 9467-9471.
    • (1990) Proc. Nat. Academy Sci. USA , vol.87 , pp. 9467-9471
    • Wang, L.1    Pichler, E.E.2    Ross, J.3
  • 26
    • 0025070002 scopus 로고
    • Synchronous neural networks of nonlinear threshold elements with hysteresis
    • Feb.
    • L. Wang and J. Ross, "Synchronous neural networks of nonlinear threshold elements with hysteresis," in Proc. Nat. Academy Sci. USA, vol. 87, Feb. 1990, pp. 988-992.
    • (1990) Proc. Nat. Academy Sci. USA , vol.87 , pp. 988-992
    • Wang, L.1    Ross, J.2
  • 27
    • 0025115737 scopus 로고
    • Interactions of neural networks: Models for distraction and concentration
    • Sept.
    • _, "Interactions of neural networks: models for distraction and concentration," in Proc. Nat. Academy Sci. USA, vol. 87, Sept. 1990, pp. 7110-7114.
    • (1990) Proc. Nat. Academy Sci. USA , vol.87 , pp. 7110-7114
  • 28
    • 7444240211 scopus 로고
    • Chaos, multiplicity, crisis, and synchronicity in higher order neural networks
    • Aug.
    • _, "Chaos, multiplicity, crisis, and synchronicity in higher order neural networks," Phys. Rev. A, vol. 44, no. 4, pp. R2259-2262, Aug. 1991.
    • (1991) Phys. Rev. A , vol.44 , Issue.4
  • 29
    • 30244533558 scopus 로고
    • Physical modeling of neural networks
    • P. M. Conn, Ed. San Diego, CA: Academic
    • _, "Physical modeling of neural networks," in Methods in Neuroscience, Computers and Computations in the Neurosciences, vol. 10, P. M. Conn, Ed. San Diego, CA: Academic, 1992, pp. 549-567.
    • (1992) Methods in Neuroscience, Computers and Computations in the Neurosciences , vol.10 , pp. 549-567


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.