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Volumn 34, Issue 5, 2004, Pages 2119-2125

A noisy chaotic neural network for solving combinatorial optimization problems: Stochastic chaotic simulated annealing

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMBINATORIAL MATHEMATICS; COMMUNICATION CHANNELS (INFORMATION THEORY); COMPUTER SIMULATION; MOBILE TELECOMMUNICATION SYSTEMS; OPTIMIZATION; PROBLEM SOLVING; RANDOM PROCESSES; SIMULATED ANNEALING; SPURIOUS SIGNAL NOISE; TRAVELING SALESMAN PROBLEM;

EID: 4844223110     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2004.829778     Document Type: Article
Times cited : (159)

References (35)
  • 1
    • 84973949757 scopus 로고
    • How brains make chaos in order to make sense of the world
    • C. A. Skarda and W. J. Freeman, "How brains make chaos in order to make sense of the world," Brain Behav. Sci., vol. 10, pp. 161-195, 1987.
    • (1987) Brain Behav. Sci. , vol.10 , pp. 161-195
    • Skarda, C.A.1    Freeman, W.J.2
  • 2
    • 0025598005 scopus 로고
    • Osillations and chaos in neural networks: An exactly solvable model
    • L. Wang and J. Ross, "Osillations and chaos in neural networks: an exactly solvable model," in Proc. National Academy of Sciences, vol. 87, 1990, pp. 9467-9471.
    • (1990) Proc. National Academy of Sciences , vol.87 , pp. 9467-9471
    • Wang, L.1    Ross, J.2
  • 3
    • 0025260281 scopus 로고
    • Model of biological pattern recognition with spatially chaotic dynamics
    • Y. Yao and W. J. Freeman, "Model of biological pattern recognition with spatially chaotic dynamics," Neural Networks, vol. 3, pp. 153-170, 1990.
    • (1990) Neural Networks , vol.3 , pp. 153-170
    • Yao, Y.1    Freeman, W.J.2
  • 4
    • 0001553201 scopus 로고
    • Chaotic neural networks
    • K. Aihara, T. Takabe, and M. Toyoda, "Chaotic neural networks," Phys. Lett. A, vol. 144, no. 6, 7, pp. 333-340, 1990.
    • (1990) Phys. Lett. A , vol.144 , Issue.6-7 , pp. 333-340
    • Aihara, K.1    Takabe, T.2    Toyoda, M.3
  • 5
    • 0000842164 scopus 로고
    • A neural network model as a globally coupled map and applications based on chaos
    • H. Nozawa, "A neural network model as a globally coupled map and applications based on chaos," Chaos, vol. 2, no. 3, pp. 377-386, 1992.
    • (1992) Chaos , vol.2 , Issue.3 , pp. 377-386
    • Nozawa, H.1
  • 7
    • 0009583394 scopus 로고
    • Solution of the optimization problem using the neural network model as a globally coupled map
    • M. Yamaguti, Ed. Amsterdam, The Netherlands: Elsevier Science
    • H. Nozawa, "Solution of the optimization problem using the neural network model as a globally coupled map," in Toward the Harnessing of Chaos, M. Yamaguti, Ed. Amsterdam, The Netherlands: Elsevier Science, 1994, pp. 99-114.
    • (1994) Toward the Harnessing of Chaos , pp. 99-114
    • Nozawa, H.1
  • 8
    • 0007954767 scopus 로고
    • Transient chaotic neural networks and chaotic simulated annealing
    • M. Yamguti, Ed. Amsterdam, The Netherlands: Elsevier Science
    • L. Chen and K. Aihara, "Transient chaotic neural networks and chaotic simulated annealing," in Toward the Harnessing of Chaos, M. Yamguti, Ed. Amsterdam, The Netherlands: Elsevier Science, 1994, pp. 347-352.
    • (1994) Toward the Harnessing of Chaos , pp. 347-352
    • Chen, L.1    Aihara, K.2
  • 9
    • 0028824103 scopus 로고
    • Chaotic simulated annealing by a neural network model with transient chaos
    • L. Chen and K. Aihara, "Chaotic simulated annealing by a neural network model with transient chaos," Neural Networks, vol. 8, no. 6, pp. 915-930, 1995.
    • (1995) Neural Networks , vol.8 , Issue.6 , pp. 915-930
    • Chen, L.1    Aihara, K.2
  • 10
    • 0029344773 scopus 로고
    • Experimental verification of signal transmission using synchronized SC chaotic neural networks
    • July
    • Y. Horio and K. Suyama, "Experimental verification of signal transmission using synchronized SC chaotic neural networks," IEEE Trans. Circuits Syst. I, vol. 42, pp. 393-395, July 1995.
    • (1995) IEEE Trans. Circuits Syst. I , vol.42 , pp. 393-395
    • Horio, Y.1    Suyama, K.2
  • 11
    • 0001509072 scopus 로고    scopus 로고
    • Oscillatory and chaotic dynamics in neural networks under varying operating conditions
    • June
    • L. Wang, "Oscillatory and chaotic dynamics in neural networks under varying operating conditions," IEEE Trans. Neural Networks, vol. 7, pp. 1382-1388, June 1996.
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 1382-1388
    • Wang, L.1
  • 12
    • 0001709711 scopus 로고    scopus 로고
    • Combination of chaotic neurodynamics with the 2-opt algorithm to solve traveling salesman problems
    • M. Hasegawa, T. Ikeguchi, and K. Aihara, "Combination of chaotic neurodynamics with the 2-opt algorithm to solve traveling salesman problems," Phys. Rev. Lett, vol. 79, pp. 2344-2347, 1997.
    • (1997) Phys. Rev. Lett , vol.79 , pp. 2344-2347
    • Hasegawa, M.1    Ikeguchi, T.2    Aihara, K.3
  • 13
    • 0031999382 scopus 로고    scopus 로고
    • A chaos-generator: Analyzes of complex dynamics of a cell equation in delayed cellular neural networks
    • Feb
    • H. Lu, Y. He, and Z. He, "A chaos-generator: analyzes of complex dynamics of a cell equation in delayed cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 45, pp. 178-181, Feb. 1998.
    • (1998) IEEE Trans. Circuits Syst. I , vol.45 , pp. 178-181
    • Lu, H.1    He, Y.2    He, Z.3
  • 14
    • 0001383614 scopus 로고    scopus 로고
    • Adaptive annealing for chaotic optimization
    • I. Tokuda, K. Aihara, and T. Nagashima, "Adaptive annealing for chaotic optimization," Phys. Rev. E, vol. 58, pp. 5157-5160, 1998.
    • (1998) Phys. Rev. E , vol.58 , pp. 5157-5160
    • Tokuda, I.1    Aihara, K.2    Nagashima, T.3
  • 15
    • 0032071951 scopus 로고    scopus 로고
    • Making sense of a complex world [chaotic events modeling]
    • May
    • S. Haykin and J. Principe, "Making sense of a complex world [chaotic events modeling]," IEEE Signal Processing Mag., vol. 15, pp. 66-81, May 1998.
    • (1998) IEEE Signal Processing Mag. , vol.15 , pp. 66-81
    • Haykin, S.1    Principe, J.2
  • 16
    • 0032121571 scopus 로고    scopus 로고
    • On chaotic simulated annealing
    • July
    • L. Wang and K. Smith, "On chaotic simulated annealing," IEEE Trans. Neural Networks, vol. 9, pp. 716-718, July 1998.
    • (1998) IEEE Trans. Neural Networks , vol.9 , pp. 716-718
    • Wang, L.1    Smith, K.2
  • 17
    • 0032641422 scopus 로고    scopus 로고
    • Analysis of bifurcation phenomena in a 3-cells hysteresis neural network
    • July
    • K. Jin'no, T. Nakamura, and T. Saito, "Analysis of bifurcation phenomena in a 3-cells hysteresis neural network," IEEE Trans. Circuits Syst. I., vol. 46, pp. 851-857, July 1999.
    • (1999) IEEE Trans. Circuits Syst. I , vol.46 , pp. 851-857
    • Jin'no, K.1    Nakamura, T.2    Saito, T.3
  • 18
    • 0032673995 scopus 로고    scopus 로고
    • Global searching ability of chaotic neural networks
    • Aug
    • L. Chen and K. Aihara, "Global searching ability of chaotic neural networks," IEEE Trans. Circuits Syst. I, vol. 46, pp. 974-993, Aug. 1999.
    • (1999) IEEE Trans. Circuits Syst. I , vol.46 , pp. 974-993
    • Chen, L.1    Aihara, K.2
  • 19
    • 0032637717 scopus 로고    scopus 로고
    • A unified framework for chaotic neural network approaches to combinatorial optimization
    • T. Kwok and K. A. Smith, "A unified framework for chaotic neural network approaches to combinatorial optimization," IEEE Trans. Neural Networks, vol. 10, no. 4, pp. 978-981, 1999.
    • (1999) IEEE Trans. Neural Networks , vol.10 , Issue.4 , pp. 978-981
    • Kwok, T.1    Smith, K.A.2
  • 20
    • 0033699173 scopus 로고    scopus 로고
    • Encoding and recall of noisy data as chaotic spatio-temporal memory patterns in the style of the brains
    • Como, Italy, July 24-27
    • R. Kozma and W. J. Freeman, "Encoding and recall of noisy data as chaotic spatio-temporal memory patterns in the style of the brains," in Proc. Int. Joint Conf. Neural Networks, vol. 5, Como, Italy, July 24-27, 2000, pp. 33-38.
    • (2000) Proc. Int. Joint Conf. Neural Networks , vol.5 , pp. 33-38
    • Kozma, R.1    Freeman, W.J.2
  • 22
    • 0034850438 scopus 로고    scopus 로고
    • A modified algorithm for the quadratic assignment problem using chaotic-neuro-dynamics for VLSI implementation
    • K. Tanaka, Y. Horio, and K. Aihara, "A modified algorithm for the quadratic assignment problem using chaotic-neuro-dynamics for VLSI implementation," in Proc. Int. Joint Conf. Neural Networks (IJCNN '01), vol. 1, 2001, pp. 240-245.
    • (2001) Proc. Int. Joint Conf. Neural Networks (IJCNN '01) , vol.1 , pp. 240-245
    • Tanaka, K.1    Horio, Y.2    Aihara, K.3
  • 23
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • May
    • J. J. Hopfield, "Neurons with graded response have collective computational properties like those of two-state neurons," in Proc. Nat. Acad. Sci. USA, vol. 81, May 1984, pp. 3088-3092.
    • (1984) Proc. Nat. Acad. Sci. USA , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 24
    • 0021835689 scopus 로고
    • Neural computation of decisions in optimization problems
    • J. J. Hopfield and D. W. Tank, "Neural computation of decisions in optimization problems," Biolog. Cybern., vol. 52, pp. 141-152, 1985.
    • (1985) Biolog. Cybern. , vol.52 , pp. 141-152
    • Hopfield, J.J.1    Tank, D.W.2
  • 25
    • 0023673835 scopus 로고
    • On the stability of the traveling salesman problem algorithm of Hopfield and Tank
    • G. V. Wilson and G. S. Pawley, "On the stability of the traveling salesman problem algorithm of Hopfield and Tank," Biolog. Cybern., vol. 58, p. 63, 1988.
    • (1988) Biolog. Cybern. , vol.58 , pp. 63
    • Wilson, G.V.1    Pawley, G.S.2
  • 26
    • 26444479778 scopus 로고
    • Optimization by simulated annealing
    • S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, "Optimization by simulated annealing," Science, vol. 220, pp. 671-680, 1983.
    • (1983) Science , vol.220 , pp. 671-680
    • Kirkpatrick, S.1    Gelatt, C.D.2    Vecchi, M.P.3
  • 28
    • 0026225350 scopus 로고
    • TSPLIB - a traveling salesman problem library
    • G. Reinelt, "TSPLIB - A traveling salesman problem library," ORSA J. Comput., vol. 3, no. 4, pp. 376-384, 1991.
    • (1991) ORSA J. Comput. , vol.3 , Issue.4 , pp. 376-384
    • Reinelt, G.1
  • 29
    • 0020249521 scopus 로고
    • On frequency assignment in mobile automatic telephone systems
    • A. Gamst and W. Rave, "On frequency assignment in mobile automatic telephone systems," in Proc. GLOBECOM'82, 1982, pp. 309-315.
    • (1982) Proc. GLOBECOM'82 , pp. 309-315
    • Gamst, A.1    Rave, W.2
  • 30
    • 0022665248 scopus 로고
    • Some lower bounds for a class of frequency assignment problems
    • Feb
    • A. Gamst, "Some lower bounds for a class of frequency assignment problems," IEEE Trans. Veh. Technol., vol. VT-35, pp. 8-14, Feb. 1986.
    • (1986) IEEE Trans. Veh. Technol. , vol.VT-35 , pp. 8-14
    • Gamst, A.1
  • 31
    • 0026103220 scopus 로고
    • Channel assignment for cellular radio using neural networks
    • Feb
    • D. Kunz, "Channel assignment for cellular radio using neural networks," IEEE Trans. Veh. Technol., vol. 40, pp. 188-193, Feb. 1991.
    • (1991) IEEE Trans. Veh. Technol. , vol.40 , pp. 188-193
    • Kunz, D.1
  • 32
    • 0027543819 scopus 로고
    • Channel assignment for cellular radio using simulated annealing
    • Feb
    • M. Duque-Anton, D. Kunz, and B. Ruber, "Channel assignment for cellular radio using simulated annealing," IEEE Trans. Veh. Technol., vol. 42, pp. 14-21, Feb. 1993.
    • (1993) IEEE Trans. Veh. Technol. , vol.42 , pp. 14-21
    • Duque-Anton, M.1    Kunz, D.2    Ruber, B.3
  • 33
    • 0026943333 scopus 로고
    • A neural network parallel algorithm for channel assignment problems in cellular radio networks
    • Nov
    • N. Funabiki and Y. Takefuji, "A neural network parallel algorithm for channel assignment problems in cellular radio networks," IEEE Trans. Veh. Technol., vol. 41, pp. 430-437, Nov. 1992.
    • (1992) IEEE Trans. Veh. Technol. , vol.41 , pp. 430-437
    • Funabiki, N.1    Takefuji, Y.2
  • 34
    • 0031076758 scopus 로고    scopus 로고
    • Static and dynamic channel assignment using neural networks
    • Feb
    • K. Smith and M. Palaniswami, "Static and dynamic channel assignment using neural networks," IEEE J. Select. Areas Commun., vol. 15, pp. 238-249, Feb. 1997.
    • (1997) IEEE J. Select. Areas Commun. , vol.15 , pp. 238-249
    • Smith, K.1    Palaniswami, M.2
  • 35
    • 0031270856 scopus 로고    scopus 로고
    • Cellular radio channel assignment using a modified Hopfield network
    • Nov
    • J.-S. Kim, S. H. Park, P. W. Dowdy, and N. M. Nasrabadi, "Cellular radio channel assignment using a modified Hopfield network," IEEE Trans. Veh. Technol., vol. 46, pp. 957-967, Nov. 1997.
    • (1997) IEEE Trans. Veh. Technol. , vol.46 , pp. 957-967
    • Kim, J.-S.1    Park, S.H.2    Dowdy, P.W.3    Nasrabadi, N.M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.