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Volumn 22, Issue 5, 2011, Pages 714-726

Recurrent neural network for non-smooth convex optimization problems with application to the identification of genetic regulatory networks

Author keywords

Convex; genetic regulatory network; identification; non smooth optimization problem; recurrent neural network

Indexed keywords

CONVEX; CONVEX OPTIMIZATION PROBLEMS; EQUILIBRIUM POINT; EQUILIBRIUM POINT SET; GENERALIZED GRADIENTS; GENETIC REGULATORY NETWORKS; IDENTIFICATION; IDENTIFICATION ACCURACY; IDENTIFICATION PROBLEM; INEQUALITY CONSTRAINT; LAGRANGIAN; LINEAR EQUALITY CONSTRAINTS; NEURAL NETWORK MODEL; NON-SMOOTH; NONSMOOTH OPTIMIZATION; OBJECTIVE FUNCTIONS; OPTIMAL SOLUTIONS; OPTIMIZATION PROBLEMS; PENALTY METHODS; SADDLE POINT; SIMULATION RESULT;

EID: 79955864876     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2011.2109735     Document Type: Article
Times cited : (213)

References (46)
  • 1
    • 0037507260 scopus 로고    scopus 로고
    • A dual neural network for redundancy resolution of kinematically redundant manipulators subject to joint limits and joint velocity limits
    • May
    • Y. Zhang, J. Wang, and Y. Xia, "A dual neural network for redundancy resolution of kinematically redundant manipulators subject to joint limits and joint velocity limits," IEEE Trans. Neural Netw., vol. 14, no. 3, pp. 658-667, May 2003.
    • (2003) IEEE Trans. Neural Netw. , vol.14 , Issue.3 , pp. 658-667
    • Zhang, Y.1    Wang, J.2    Xia, Y.3
  • 2
    • 34047178025 scopus 로고    scopus 로고
    • A recurrent neural network for hierarchical control of interconnected dynamic systems
    • DOI 10.1109/TNN.2006.885040
    • Z.-G. Hou, M. M. Gupta, P. N. Nikiforuk, M. Tan, and L. Cheng, "A recurrent neural network for hierarchical control of interconnected dynamic systems," IEEE Trans. Neural Netw., vol. 18, no. 2, pp. 466-481, Mar. 2007. (Pubitemid 46522569)
    • (2007) IEEE Transactions on Neural Networks , vol.18 , Issue.2 , pp. 466-481
    • Hou, Z.-G.1    Gupta, M.M.2    Nikiforuk, P.N.3    Tan, M.4    Cheng, L.5
  • 3
    • 34648823691 scopus 로고    scopus 로고
    • Constrained multi-variable generalized predictive control using a dual neural network
    • L. Cheng, Z.-G. Hou, and M. Tan, "Constrained multi-variable generalized predictive control using a dual neural network," Neural Comput. & Appl., vol. 16, no. 6, pp. 505-512, 2007.
    • (2007) Neural Comput. & Appl. , vol.16 , Issue.6 , pp. 505-512
    • Cheng, L.1    Hou, Z.-G.2    Tan, M.3
  • 4
    • 0022721216 scopus 로고
    • Simple 'neural' optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit
    • D. Tank and J. Hopfield, "Simple 'neural' optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit," IEEE Trans. Circuits Syst., vol. 33, no. 5, pp. 533-541, May 1986. (Pubitemid 16595842)
    • (1986) IEEE transactions on circuits and systems , vol.CAS-33 , Issue.5 , pp. 533-541
    • Tank David, W.1    Hopfield John, J.2
  • 5
    • 0024016062 scopus 로고
    • Neural networks for nonlinear programming
    • May
    • M. P. Kennedy and L. O. Chua, "Neural networks for nonlinear programming," IEEE Trans. Circuits Syst., vol. 35, no. 5, pp. 554-562, May 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , Issue.5 , pp. 554-562
    • Kennedy, M.P.1    Chua, L.O.2
  • 7
    • 0031142665 scopus 로고    scopus 로고
    • Primal and dual assignment networks
    • PII S1045922797027616
    • J. Wang, "Primal and dual assignment networks," IEEE Trans. Neural Netw., vol. 8, no. 3, pp. 784-790, May 1997. (Pubitemid 127767819)
    • (1997) IEEE Transactions on Neural Networks , vol.8 , Issue.3 , pp. 784-790
    • Wang, J.1
  • 8
    • 0035246390 scopus 로고    scopus 로고
    • A dual neural network for kinematic control of redundant robot manipulators
    • DOI 10.1109/3477.907574, PII S1083441901000844
    • Y. Xia and J. Wang, "A dual neural network for kinematic control of redundant robot manipulators," IEEE Trans. Syst., Man Cybern., Part B: Cybern., vol. 31, no. 1, pp. 147-154, Feb. 2001. (Pubitemid 32300855)
    • (2001) IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , vol.31 , Issue.1 , pp. 147-154
    • Xia, Y.1    Wang, J.2
  • 9
    • 57749106175 scopus 로고    scopus 로고
    • An improved dual neural network for solving a class of quadratic programming problems and its k-winners-take-all application
    • Dec.
    • X. Hu and J. Wang, "An improved dual neural network for solving a class of quadratic programming problems and its k-winners-take-all application," IEEE Trans. Neural Netw., vol. 19, no. 12, pp. 2022-2031, Dec. 2008.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , Issue.12 , pp. 2022-2031
    • Hu, X.1    Wang, J.2
  • 10
    • 0033163920 scopus 로고    scopus 로고
    • On the stability of globally projected dynamical systems
    • Jul.
    • Y. S. Xia and J. Wang, "On the stability of globally projected dynamical systems," J. Optim. Theory Appl., vol. 106, no. 1, pp. 129-150, Jul. 2000.
    • (2000) J. Optim. Theory Appl. , vol.106 , Issue.1 , pp. 129-150
    • Xia, Y.S.1    Wang, J.2
  • 11
    • 13844275694 scopus 로고    scopus 로고
    • A continuous method for convex programming problems
    • L.-Z. Liao, "A continuous method for convex programming problems," J. Optim. Theory Appl., vol. 124, no. 1, pp. 207-226, 2005.
    • (2005) J. Optim. Theory Appl. , vol.124 , Issue.1 , pp. 207-226
    • Liao, L.-Z.1
  • 12
    • 2542589347 scopus 로고    scopus 로고
    • A novel neural network for nonlinear convex programming
    • May
    • X.-B. Gao, "A novel neural network for nonlinear convex programming," IEEE Trans. Neural Netw., vol. 15, no. 3, pp. 613-621, May 2004.
    • (2004) IEEE Trans. Neural Netw. , vol.15 , Issue.3 , pp. 613-621
    • Gao, X.-B.1
  • 13
    • 1542291075 scopus 로고    scopus 로고
    • An extended projection neural network for constrained optimization
    • DOI 10.1162/089976604322860730
    • Y. Xia, "An extended projection neural network for constrained optimization," Neural Comput., vol. 16, no. 4, pp. 863-883, Apr. 2004. (Pubitemid 38318135)
    • (2004) Neural Computation , vol.16 , Issue.4 , pp. 863-883
    • Xia, Y.1
  • 14
    • 63049122757 scopus 로고    scopus 로고
    • A new projection-based neural network for constrained variational inequalities
    • Mar.
    • X.-B. Gao and L.-Z. Liao, "A new projection-based neural network for constrained variational inequalities," IEEE Trans. Neural Netw., vol. 20, no. 3, pp. 373-388, Mar. 2009.
    • (2009) IEEE Trans. Neural Netw. , vol.20 , Issue.3 , pp. 373-388
    • Gao, X.-B.1    Liao, L.-Z.2
  • 15
    • 34249016393 scopus 로고    scopus 로고
    • Solving pseudomonotone variational inequalities and pseudoconvex optimization problems using the projection neural network
    • DOI 10.1109/TNN.2006.879774
    • X. Hu and J. Wang, "Solving pseudomonotone variational inequalities and pseudoconvex optimization problems using the projection neural network," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1487-1499, Nov. 2006. (Pubitemid 44824262)
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.6 , pp. 1487-1499
    • Hu, X.1    Wang, J.2
  • 16
    • 23044474397 scopus 로고    scopus 로고
    • A delayed neural network for solving linear projection equations and its analysis
    • DOI 10.1109/TNN.2005.849834
    • Q. Liu, J. Cao, and Y. Xia, "A delayed neural network for solving linear projection equations and its analysis," IEEE Trans. Neural Netw., vol. 16, no. 4, pp. 834-843, Jul. 2005. (Pubitemid 41064315)
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.4 , pp. 834-843
    • Liu, Q.1    Cao, J.2    Xia, Y.3
  • 17
    • 67649342385 scopus 로고    scopus 로고
    • A delayed projection neural network for solving linear variational inequalities
    • Jun.
    • L. Cheng, Z.-G. Hou, and M. Tan, "A delayed projection neural network for solving linear variational inequalities," IEEE Trans. Neural Netw., vol. 20, no. 6, pp. 915-925, Jun. 2009.
    • (2009) IEEE Trans. Neural Netw. , vol.20 , Issue.6 , pp. 915-925
    • Cheng, L.1    Hou, Z.-G.2    Tan, M.3
  • 18
    • 50549089953 scopus 로고    scopus 로고
    • A neutral-type delayed projection neural network for solving nonlinear variational inequalities
    • Aug.
    • L. Cheng, Z.-G. Hou, and M. Tan, "A neutral-type delayed projection neural network for solving nonlinear variational inequalities," IEEE Trans. Circuits Syst. II, vol. 55, no. 8, pp. 806-810, Aug. 2008.
    • (2008) IEEE Trans. Circuits Syst. II , vol.55 , Issue.8 , pp. 806-810
    • Cheng, L.1    Hou, Z.-G.2    Tan, M.3
  • 19
    • 4744373635 scopus 로고    scopus 로고
    • Generalized neural network for nonsmooth nonlinear programming problems
    • Sep.
    • M. Forti, P. Nistri, and M. Quincampoix, "Generalized neural network for nonsmooth nonlinear programming problems," IEEE Trans. Circuits Syst. I, vol. 51, no. 9, pp. 1741-1754, Sep. 2004.
    • (2004) IEEE Trans. Circuits Syst. I , vol.51 , Issue.9 , pp. 1741-1754
    • Forti, M.1    Nistri, P.2    Quincampoix, M.3
  • 20
    • 37849187126 scopus 로고    scopus 로고
    • Convergence of neural networks for programming problems via a nonsmooth Łojasiewicz inequality
    • DOI 10.1109/TNN.2006.879775
    • M. Forti, P. Nistri, and M. Quincampoix, "Convergence of neural networks for programming problems via a nonsmooth £ojasiewicz inequality," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1471-1486, Nov. 2006. (Pubitemid 44824261)
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.6 , pp. 1471-1486
    • Forti, M.1    Nistri, P.2    Quincampoix, M.3
  • 21
    • 77952306887 scopus 로고    scopus 로고
    • Generalized gradient projection neural networks for nonsmooth optimization problems
    • G. Li, S. Song, and C. Wu, "Generalized gradient projection neural networks for nonsmooth optimization problems," Sci. China Inf. Sci., vol. 53, no. 5, pp. 990-1005, 2010.
    • (2010) Sci. China Inf. Sci. , vol.53 , Issue.5 , pp. 990-1005
    • Li, G.1    Song, S.2    Wu, C.3
  • 23
    • 70349138424 scopus 로고    scopus 로고
    • A one-layer recurrent neural network for nonsmooth convex optimization subject to linear equality constraints
    • New York: Springer-Verlag
    • Q. Liu and J. Wang, "A one-layer recurrent neural network for nonsmooth convex optimization subject to linear equality constraints," in Advances in Neuro-Information Processing (Lecture Notes in Computer Science, vol. 5507). New York: Springer-Verlag, 2009, pp. 1003-1010.
    • (2009) Advances in Neuro-Information Processing (Lecture Notes in Computer Science) , vol.5507 , pp. 1003-1010
    • Liu, Q.1    Wang, J.2
  • 24
    • 42549152732 scopus 로고    scopus 로고
    • A one-layer recurrent neural network with a discontinuous hard-limiting activation function for quadratic programming
    • DOI 10.1109/TNN.2007.910736
    • Q. Liu and J.Wang, "A one-layer recurrent neural network with a discontinuous hard-limiting activation function for quadratic programming," IEEE Trans. Neural Netw., vol. 19, no. 4, pp. 558-570, Apr. 2008. (Pubitemid 351583574)
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.4 , pp. 558-570
    • Liu, Q.1    Wang, J.2
  • 25
    • 77953123515 scopus 로고    scopus 로고
    • A new one-layer neural network for linear and quadratic programming
    • Jun.
    • X. Gao and L.-Z. Liao, "A new one-layer neural network for linear and quadratic programming," IEEE Trans. Neural Netw., vol. 21, no. 6, pp. 918-929, Jun. 2010.
    • (2010) IEEE Trans. Neural Netw. , vol.21 , Issue.6 , pp. 918-929
    • Gao, X.1    Liao, L.-Z.2
  • 26
    • 54749093290 scopus 로고    scopus 로고
    • Subgradient-based neural networks for nonsmooth convex optimization problems
    • Sep.
    • X. Xue and W. Bain, "Subgradient-based neural networks for nonsmooth convex optimization problems," IEEE Trans. Circuits Syst. I, vol. 55, no. 8, pp. 2378-2391, Sep. 2008.
    • (2008) IEEE Trans. Circuits Syst. I , vol.55 , Issue.8 , pp. 2378-2391
    • Xue, X.1    Bain, W.2
  • 27
    • 67649321486 scopus 로고    scopus 로고
    • Subgradient-based neural networks for nonsmooth nonconvex optimization problems
    • Jun.
    • W. Bian and X. Xue, "Subgradient-based neural networks for nonsmooth nonconvex optimization problems," IEEE Trans. Neural Netw., vol. 20, no. 6, pp. 1024-1038, Jun. 2009.
    • (2009) IEEE Trans. Neural Netw. , vol.20 , Issue.6 , pp. 1024-1038
    • Bian, W.1    Xue, X.2
  • 28
    • 70449636190 scopus 로고    scopus 로고
    • The optimization technique for solving a class of non-differentiable programming based on neural network method
    • Apr.
    • Y. Yang and J. Cao, "The optimization technique for solving a class of non-differentiable programming based on neural network method," Nonlinear Anal.: Real World Appl., vol. 11, no. 2, pp. 1108-1114, Apr. 2010.
    • (2010) Nonlinear Anal.: Real World Appl. , vol.11 , Issue.2 , pp. 1108-1114
    • Yang, Y.1    Cao, J.2
  • 32
    • 0028497846 scopus 로고
    • Lyapunov stability theory of nonsmooth systems
    • Sep.
    • D. Shevitz and B. Paden, "Lyapunov stability theory of nonsmooth systems," IEEE Trans. Autom. Control, vol. 39, no. 9, pp. 1910-1914, Sep. 1994.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.9 , pp. 1910-1914
    • Shevitz, D.1    Paden, B.2
  • 37
    • 33645307955 scopus 로고    scopus 로고
    • Inference of gene regulatory networks and compound mode of action from time course gene expression profiles
    • Jan.
    • M. Bansal, G. D. Gatta, and D. Benardo, "Inference of gene regulatory networks and compound mode of action from time course gene expression profiles," Bioinformatics, vol. 22, no. 7, pp. 815-822, Jan. 2006.
    • (2006) Bioinformatics , vol.22 , Issue.7 , pp. 815-822
    • Bansal, M.1    Gatta, G.D.2    Benardo, D.3
  • 38
    • 61349180117 scopus 로고    scopus 로고
    • Gene regulatory network inference: Data integration in dynamic models-A review
    • Apr.
    • M. Hecker, S. Lambeck, S. Toepfer, E. van Someren, and R. Guthke, "Gene regulatory network inference: Data integration in dynamic models-A review," Biosystems, vol. 96, no. 1, pp. 86-103, Apr. 2009.
    • (2009) Biosystems , vol.96 , Issue.1 , pp. 86-103
    • Hecker, M.1    Lambeck, S.2    Toepfer, S.3    Van Someren, E.4    Guthke, R.5
  • 39
    • 0038048325 scopus 로고    scopus 로고
    • Inferring genetic networks and identifying compound mode of action via expression profiling
    • DOI 10.1126/science.1081900
    • T. S. Gardner, D. Bernardo, D. Lorenz, and J. J. Collins, "Inferring genetic networks and identifying compound mode of action via expression profiling," Science, vol. 301, no. 5629, pp. 102-105, Jul. 2003. (Pubitemid 36801571)
    • (2003) Science , vol.301 , Issue.5629 , pp. 102-105
    • Gardner, T.S.1    Di Bernardo, D.2    Lorenz, D.3    Collins, J.J.4
  • 40
    • 12144277948 scopus 로고    scopus 로고
    • State-space model with time delays for gene regulatory networks
    • DOI 10.1142/S0218339004001324
    • F. X. Wu, W. J. Zhang, and A. J. Kusalik, "State-space model with time delays for gene regulatory networks," J. Biol. Syst., vol. 12, no. 4, pp. 483-500, 2004. (Pubitemid 40107268)
    • (2004) Journal of Biological Systems , vol.12 , Issue.4 , pp. 483-500
    • Wu, F.-X.1    Zhang, W.J.2    Kusalik, A.J.3
  • 41
    • 66249091244 scopus 로고    scopus 로고
    • Genetic network identification using convex programming
    • May
    • A. A. Julius, M. M. Zavlanos, S. P. Boyd, and G. J. Pappas, "Genetic network identification using convex programming," IET Syst. Biol., vol. 3, no. 3, pp. 155-166, May 2009.
    • (2009) IET Syst. Biol. , vol.3 , Issue.3 , pp. 155-166
    • Julius, A.A.1    Zavlanos, M.M.2    Boyd, S.P.3    Pappas, G.J.4
  • 42
    • 52449097533 scopus 로고    scopus 로고
    • Identification of stable genetic networks using convex programming
    • Seattle, WA Jun.
    • M. M. Zavlanos, A. A. Julius, S. P. Boyd, and G. J. Pappas, "Identification of stable genetic networks using convex programming," in Proc. Amer. Control Conf., Seattle, WA, Jun. 2008, pp. 2755-2760.
    • (2008) Proc. Amer. Control Conf. , pp. 2755-2760
    • Zavlanos, M.M.1    Julius, A.A.2    Boyd, S.P.3    Pappas, G.J.4
  • 43
    • 78650804693 scopus 로고    scopus 로고
    • Identification of gene regulatory networks from time course gene expression data
    • Buenos Aires, Argentina, Aug.
    • F. X. Wu, L. Z. Liu, and Z. H. Xia, "Identification of gene regulatory networks from time course gene expression data," in Proc. 32nd Annu. Int. Conf. IEEE Eng. Med. Biol. Soc., Buenos Aires, Argentina, Aug. 2010, pp. 795-798.
    • (2010) Proc. 32nd Annu. Int. Conf. IEEE Eng. Med. Biol. Soc. , pp. 795-798
    • Wu, F.X.1    Liu, L.Z.2    Xia, Z.H.3
  • 44
    • 32444432616 scopus 로고    scopus 로고
    • Inference of gene regulatory networks using S-system and Differential Evolution
    • DOI 10.1145/1068009.1068079, GECCO 2005 - Genetic and Evolutionary Computation Conference
    • N. Noman and H. Iba, "Inference of gene regulatory networks using S-system and differential evolution," in Proc. Conf. Genetic Evol. Comput., Washington D.C., Jun. 2005, pp. 439-446. (Pubitemid 43226322)
    • (2005) GECCO 2005 - Genetic and Evolutionary Computation Conference , pp. 439-446
    • Noman, N.1    Iba, H.2
  • 45
    • 0037461033 scopus 로고    scopus 로고
    • Dynamics modeling of genetic networks using genetic algorithm and S-system
    • DOI 10.1093/bioinformatics/btg027
    • S. Kikuchi, D. Tominage, M. Arita, K. Takahashi, and M. Tomita, "Dynamic modeling of genetic networks using genetic algorithm and S-system," Bioinformatics, vol. 19, no. 5, pp. 643-650, 2003. (Pubitemid 36417059)
    • (2003) Bioinformatics , vol.19 , Issue.5 , pp. 643-650
    • Kikuchi, S.1    Tominaga, D.2    Arita, M.3    Takahashi, K.4    Tomita, M.5
  • 46
    • 84901697990 scopus 로고    scopus 로고
    • Inference of S-system models of genetic networks using a genetic local search
    • Canberra, Australia Dec.
    • S. Kimura, M. Hatakeyama, and A. Konagaya, "Inference of S-system models of genetic networks using a genetic local search," in Proc. Congr. Evol. Comput., vol. 1. Canberra, Australia, Dec. 2003, pp. 631-638.
    • (2003) Proc. Congr. Evol. Comput. , vol.1 , pp. 631-638
    • Kimura, S.1    Hatakeyama, M.2    Konagaya, A.3


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