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Volumn 8, Issue 1, 1999, Pages 33-39

A note on the equivalence of NARX and RNN

Author keywords

Extended Kalman filter; Model equivalence; NARX model; Output feedback control; Pruning; Recurrent neural networks; Recursive least square; Training complexity

Indexed keywords


EID: 0033242068     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005210050005     Document Type: Article
Times cited : (25)

References (34)
  • 1
    • 0025448276 scopus 로고
    • Non-linear system identification using neural networks
    • Chen S, Billings SA, Grant PM. Non-linear system identification using neural networks. Int J Control 1990; 51(6): 1191-1214
    • (1990) Int J Control , vol.51 , Issue.6 , pp. 1191-1214
    • Chen, S.1    Billings, S.A.2    Grant, P.M.3
  • 2
    • 0025449162 scopus 로고
    • Parallel recursive prediction error algorithm for training layered neural networks
    • Chen S, Cowan C, Billings SA, Grant PM. Parallel recursive prediction error algorithm for training layered neural networks. Int J Control 1990; 51(6): 1215-1228
    • (1990) Int J Control , vol.51 , Issue.6 , pp. 1215-1228
    • Chen, S.1    Cowan, C.2    Billings, S.A.3    Grant, P.M.4
  • 6
    • 0000646059 scopus 로고
    • Learning internal representations by error propagation
    • DE Rumelhart et al. (ed), MIT Press
    • Rumelhart DE et al. Learning internal representations by error propagation. In Parallel Distributed Processing Volume 1: Foundations, DE Rumelhart et al. (ed), MIT Press, 1986, pp 318-362
    • (1986) Parallel Distributed Processing Volume 1: Foundations , vol.1 , pp. 318-362
    • Rumelhart, D.E.1
  • 7
    • 0028545025 scopus 로고
    • Absolute stability conditions for discrete-time recurrent neural network
    • Jin L et al. Absolute stability conditions for discrete-time recurrent neural network. IEEE Trans Neural Networks 1994; 5(6): 954-964
    • (1994) IEEE Trans Neural Networks , vol.5 , Issue.6 , pp. 954-964
    • Jin, L.1
  • 8
    • 0029342140 scopus 로고
    • Approximation of discrete-time stage-space trajectories using dynamic recurrent neural networks
    • Jin L et al. Approximation of discrete-time stage-space trajectories using dynamic recurrent neural networks. IEEE Trans Automatic Control 1995; 40(7): 1266-1270
    • (1995) IEEE Trans Automatic Control , vol.40 , Issue.7 , pp. 1266-1270
    • Jin, L.1
  • 9
    • 0030193060 scopus 로고    scopus 로고
    • Globally asymptotical stability of discrete-time analog neural network
    • Jin L, Gupta MM. Globally asymptotical stability of discrete-time analog neural network. IEEE Trans Neural Networks 1996; 7(4): 1024-1031
    • (1996) IEEE Trans Neural Networks , vol.7 , Issue.4 , pp. 1024-1031
    • Jin, L.1    Gupta, M.M.2
  • 10
    • 85153973166 scopus 로고
    • Recurrent networks: Second order properties and pruning
    • G. Tesauro et al. (ed), MIT Press
    • With Pedersen M, Hansen LK. Recurrent networks: Second order properties and pruning. Advances in Neural Information Processing Systems 7 (G. Tesauro et al. (ed), MIT Press, 1995, pp 673-680
    • (1995) Advances in Neural Information Processing Systems , vol.7 , pp. 673-680
    • With Pedersen, M.1    Hansen, L.K.2
  • 11
    • 0028401031 scopus 로고
    • Neurocontrol of nonlinear dynamical systems with Kalman filter trained recurrent networks
    • Puskorius GV, Feldkamp LA. Neurocontrol of nonlinear dynamical systems with Kalman filter trained recurrent networks. IEEE Trans Neural Networks 1994; 5(2): 279-297
    • (1994) IEEE Trans Neural Networks , vol.5 , Issue.2 , pp. 279-297
    • Puskorius, G.V.1    Feldkamp, L.A.2
  • 12
    • 0009038890 scopus 로고    scopus 로고
    • Recurrent neural networks: Some systems-theoretic aspects
    • M Karny, K Warwick, V Kurkova, eds., Springer-Verlag, London
    • Sontag ED. Recurrent neural networks: Some systems-theoretic aspects. In: Dealing with Complexity: a Neural Network Approach (M Karny, K Warwick, V Kurkova, eds.), Springer-Verlag, London, 1998, pp 1-11
    • (1998) Dealing with Complexity: A Neural Network Approach , pp. 1-11
    • Sontag, E.D.1
  • 13
    • 85132302281 scopus 로고
    • Training recurrent networks using the extended Kalman filter
    • Baltimore
    • Williams RJ. Training recurrent networks using the extended Kalman filter. Proc IJCNN'92, Baltimore, Vol IV, 1992 pp 241-246.
    • (1992) Proc IJCNN'92 , vol.4 , pp. 241-246
    • Williams, R.J.1
  • 14
    • 0028401357 scopus 로고
    • Recurrent neural networks and robust time series prediction
    • Connor JT, Martin D, Atlas LE. Recurrent neural networks and robust time series prediction. IEEE Trans Neural Networks 1994; 5(2): 240-254
    • (1994) IEEE Trans Neural Networks , vol.5 , Issue.2 , pp. 240-254
    • Connor, J.T.1    Martin, D.2    Atlas, L.E.3
  • 15
    • 0028400379 scopus 로고
    • Recurrent neural network training with feedforward complexity
    • Olurotimi O. Recurrent neural network training with feedforward complexity. IEEE Trans Neural Networks 1994; 5(2): 185-197
    • (1994) IEEE Trans Neural Networks , vol.5 , Issue.2 , pp. 185-197
    • Olurotimi, O.1
  • 16
    • 0024861871 scopus 로고
    • Approximation by superpositions of a sigmoidal function
    • Cybenko G. Approximation by superpositions of a sigmoidal function. Mathematics of Control, Signals and Syst 1989; 2: 303-314
    • (1989) Mathematics of Control, Signals and Syst , vol.2 , pp. 303-314
    • Cybenko, G.1
  • 17
    • 0024866495 scopus 로고
    • On the approximate realization of continuous mappings by neural networks
    • Funahashi K. On the approximate realization of continuous mappings by neural networks. Neural Networks 1989; 2(3): 183-192
    • (1989) Neural Networks , vol.2 , Issue.3 , pp. 183-192
    • Funahashi, K.1
  • 20
    • 0000214754 scopus 로고    scopus 로고
    • On-line training and pruning for RLS algorithms
    • Leung CS et al. On-line training and pruning for RLS algorithms. Elec Lett 1996; 7: 2152-2153
    • (1996) Elec Lett , vol.7 , pp. 2152-2153
    • Leung, C.S.1
  • 21
    • 0026408191 scopus 로고
    • Decoupled extended Kalman filter training of feedforward layered networks
    • Puskorius GV, Feldkamp LA. Decoupled extended Kalman filter training of feedforward layered networks. Proc IJCNN'91, Vol I, 1991, pp 771-777
    • (1991) Proc IJCNN'91 , vol.1 , pp. 771-777
    • Puskorius, G.V.1    Feldkamp, L.A.2
  • 22
    • 0008981260 scopus 로고    scopus 로고
    • Extended Kalman filter in recurrent neural network training and pruning
    • Department of Computer Science and Engineering, CUHK, June
    • Sum JPF et al. Extended Kalman filter in recurrent neural network training and pruning. Trechnical report CS-TR-96-05, Department of Computer Science and Engineering, CUHK, June 1996
    • (1996) Trechnical Report CS-TR-96-05
    • Sum, J.P.F.1
  • 23
    • 0029342651 scopus 로고
    • Nonlinear system identification using neural state space models, applicable to robust control design
    • Suykens J, De Moor B, Vandewalle J. Nonlinear system identification using neural state space models, applicable to robust control design. Int J Control 1995; 82(1): 129-152
    • (1995) Int J Control , vol.82 , Issue.1 , pp. 129-152
    • Suykens, J.1    De Moor, B.2    Vandewalle, J.3
  • 24
    • 0000647608 scopus 로고    scopus 로고
    • Extended Kalman filter-based pruning method for recurrent networks
    • Sum J et al. Extended Kalman filter-based pruning method for recurrent networks. Neural Computation 1998; 10(6): 1481-1505
    • (1998) Neural Computation , vol.10 , Issue.6 , pp. 1481-1505
    • Sum, J.1
  • 25
    • 0001362481 scopus 로고    scopus 로고
    • Pruning with generalization based weight saliencies: γOBD and γOBS
    • DS Touretzky et al. (eds), MIT Press
    • With Pedersen et al. Pruning with generalization based weight saliencies: γOBD and γOBS. Advances in Neural Information Processing Systems 8 (DS Touretzky et al. (eds), MIT Press, 1996
    • (1996) Advances in Neural Information Processing Systems , vol.8
    • Pedersen, W.1
  • 27
    • 0027662338 scopus 로고
    • Pruning algorithms - A survey
    • Reed R. Pruning algorithms - A survey. IEEE Trans Neural Networks 1993; 4(5): 740-747
    • (1993) IEEE Trans Neural Networks , vol.4 , Issue.5 , pp. 740-747
    • Reed, R.1
  • 28
    • 0001234705 scopus 로고
    • Second order derivatives for network pruning: Optimal brain surgeon
    • Hanson et al. (eds)
    • Hassibi B, Stork DG. Second order derivatives for network pruning: Optimal brain surgeon. In: Hanson et al. (eds) Advances in Neural Information Processing Systems 1993, pp 164-171
    • (1993) Advances in Neural Information Processing Systems , pp. 164-171
    • Hassibi, B.1    Stork, D.G.2
  • 30
    • 0029409251 scopus 로고
    • Neural modeling for time series: A statistical stepwise method for weight elimination
    • Cottrell M et al. Neural modeling for time series: A statistical stepwise method for weight elimination. IEEE Trans Neural Networks 1995; 6(6): 1355-1362.
    • (1995) IEEE Trans Neural Networks , vol.6 , Issue.6 , pp. 1355-1362
    • Cottrell, M.1
  • 31
  • 32
    • 0029207879 scopus 로고
    • Diagonal recurrent neural networks for dynamic systems control
    • Ku C, Lee K. Diagonal recurrent neural networks for dynamic systems control. IEEE Trans Neural Networks 1995; 6(1): 144-156
    • (1995) IEEE Trans Neural Networks , vol.6 , Issue.1 , pp. 144-156
    • Ku, C.1    Lee, K.2
  • 33
    • 0025399567 scopus 로고
    • Identification and control of dynamical systems using neural networks
    • Narendra KS, Parthasarathy K. Identification and control of dynamical systems using neural networks. IEEE Trans Neural Networks 1990; 1(1): 4-27
    • (1990) IEEE Trans Neural Networks , vol.1 , Issue.1 , pp. 4-27
    • Narendra, K.S.1    Parthasarathy, K.2
  • 34
    • 0026923239 scopus 로고
    • Optimal filtering algorithms for fast learning in feedforward neural networks
    • Shah S et al. Optimal filtering algorithms for fast learning in feedforward neural networks. Neural Networks. 1992; 5: 779-787
    • (1992) Neural Networks , vol.5 , pp. 779-787
    • Shah, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.