메뉴 건너뛰기




Volumn 21, Issue 3, 2010, Pages 494-507

Foundations of implementing the competitive layer model by lotkavolterra recurrent neural networks

Author keywords

Competitive layer model (CLM); Convergence; Energy functions; Lotka Volterra recurrent neural networks (LV RNNs); Minimum points; Stable attractors

Indexed keywords

ENERGY FUNCTIONS; KEYPOINTS; LAYER MODEL; LOTKA-VOLTERRA; LOTKA-VOLTERRA RECURRENT NEURAL NETWORKS; NONNEGATIVE ORTHANT; OPTIMIZATION PROBLEMS; SUFFICIENT CONDITIONS;

EID: 77649270351     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2009.2039758     Document Type: Article
Times cited : (59)

References (30)
  • 1
    • 0013221531 scopus 로고
    • A spatial approach for feature linking
    • Paris, France
    • H. Retter, "A spatial approach for feature linking," in Proc. Int. Neural Netw. Conf., Paris, France, 1990, vol. 2, pp. 898-901.
    • (1990) Proc. Int. Neural Netw. Conf , vol.2 , pp. 898-901
    • Retter, H.1
  • 2
    • 0029088615 scopus 로고
    • Binding in models of perception and brain function
    • C. von der Malsburg, "Binding in models of perception and brain function," Current Opinion Neurobiol., vol. 5, pp. 520-526, 1995.
    • (1995) Current Opinion Neurobiol , vol.5 , pp. 520-526
    • von der Malsburg, C.1
  • 3
    • 0035258563 scopus 로고    scopus 로고
    • A competitive layer model for feature binding and sensory segmentation
    • H. Wersing, J. J. Steil, and H. Ritter, "A competitive layer model for feature binding and sensory segmentation," Neural Comput., vol. 13, no. 2, pp. 357-387, 2001.
    • (2001) Neural Comput , vol.13 , Issue.2 , pp. 357-387
    • Wersing, H.1    Steil, J.J.2    Ritter, H.3
  • 5
    • 0027656539 scopus 로고
    • Figure-ground discrimination: A combinatorial optimization approach
    • Sep
    • L. Herault and R. Horaud, "Figure-ground discrimination: A combinatorial optimization approach," IEEE Trans. Pattern Anal. Mach. Intell., vol. 15, no. 9, pp. 899-914, Sep. 1993.
    • (1993) IEEE Trans. Pattern Anal. Mach. Intell , vol.15 , Issue.9 , pp. 899-914
    • Herault, L.1    Horaud, R.2
  • 6
    • 0003141608 scopus 로고    scopus 로고
    • A fast and robust cluster update algorithm for image segmentation in spin-lattice models without annealing - Visual latencies revisited
    • R. Opara and F. Wörgötter, "A fast and robust cluster update algorithm for image segmentation in spin-lattice models without annealing - Visual latencies revisited," Neural Comput., vol. 10, no. 6, pp. 1547-1566, 1998.
    • (1998) Neural Comput , vol.10 , Issue.6 , pp. 1547-1566
    • Opara, R.1    Wörgötter, F.2
  • 7
    • 0016968969 scopus 로고
    • Scene labeling by relaxation operations
    • Jun
    • A. Rosenfed, R. A. Hummel, and S. W. Zucker, "Scene labeling by relaxation operations," IEEE Trans. Syst. Man Cybern., vol. SMC-6, no. 6, pp. 420-433, Jun. 1976.
    • (1976) IEEE Trans. Syst. Man Cybern , vol.SMC-6 , Issue.6 , pp. 420-433
    • Rosenfed, A.1    Hummel, R.A.2    Zucker, S.W.3
  • 8
    • 0020750605 scopus 로고
    • On the foundations of relaxation labeling processes
    • Mar
    • R. A. Hummel and S. W. Zucker, "On the foundations of relaxation labeling processes," IEEE Trans. Pattern Anal. Mach. Intell., vol. 5, no. 3, pp. 267-287, Mar. 1983.
    • (1983) IEEE Trans. Pattern Anal. Mach. Intell , vol.5 , Issue.3 , pp. 267-287
    • Hummel, R.A.1    Zucker, S.W.2
  • 9
    • 0030717041 scopus 로고    scopus 로고
    • Autoassociative learning in relaxation labeling networks
    • M. Pelillo and A. M. Fanelli, "Autoassociative learning in relaxation labeling networks," Pattern Reecognit. Lett., vol. 18, no. 1, pp. 3-12, 1997.
    • (1997) Pattern Reecognit. Lett , vol.18 , Issue.1 , pp. 3-12
    • Pelillo, M.1    Fanelli, A.M.2
  • 10
    • 0022152801 scopus 로고
    • Relaxation labeling algorithms - A review
    • J. Kittler and J. Illingworth, "Relaxation labeling algorithms - A review," Image Vis. Comput., vol. 3, no. 4, pp. 206-216, 1985.
    • (1985) Image Vis. Comput , vol.3 , Issue.4 , pp. 206-216
    • Kittler, J.1    Illingworth, J.2
  • 11
    • 0013284378 scopus 로고    scopus 로고
    • Feature binding and relaxation labeling with the competitive layer model
    • Apr
    • H. Wersing and H. Ritter, "Feature binding and relaxation labeling with the competitive layer model," in Proc. Eur. Symp. Artif. Neural Netw., Apr. 1999, pp. 295-300.
    • (1999) Proc. Eur. Symp. Artif. Neural Netw , pp. 295-300
    • Wersing, H.1    Ritter, H.2
  • 13
    • 33646518526 scopus 로고    scopus 로고
    • Neural network model of the primary visual cortex: From functional architecture to lateral connectivity and back
    • B. Blumenfeld, D. Bibitchkov, and M. Tsodyks, "Neural network model of the primary visual cortex: From functional architecture to lateral connectivity and back," J. Comput. Neurosci., vol. 20, pp. 219-241, 2006.
    • (2006) J. Comput. Neurosci , vol.20 , pp. 219-241
    • Blumenfeld, B.1    Bibitchkov, D.2    Tsodyks, M.3
  • 14
    • 0029093324 scopus 로고
    • Recurrent excitation in neocortical circuits
    • R. Dougleas, C. Koch, M. Mahowald, K. Matin, and H. Suarez, "Recurrent excitation in neocortical circuits," Science, vol. 269, pp. 981-985, 1995.
    • (1995) Science , vol.269 , pp. 981-985
    • Dougleas, R.1    Koch, C.2    Mahowald, M.3    Matin, K.4    Suarez, H.5
  • 15
    • 0034702306 scopus 로고    scopus 로고
    • Digital selection and analogue amplification coexist in a cortex-inspired silicon circuit
    • R. Hahnloser, R. Sarpeshkar, M. Mahowald, R. Douglas, and H. S. Seung, "Digital selection and analogue amplification coexist in a cortex-inspired silicon circuit," Nature, vol. 405, pp. 947-951, 2000.
    • (2000) Nature , vol.405 , pp. 947-951
    • Hahnloser, R.1    Sarpeshkar, R.2    Mahowald, M.3    Douglas, R.4    Seung, H.S.5
  • 16
    • 33644895011 scopus 로고    scopus 로고
    • Dynamics analysis and analog associative memory of networks with LT neurons
    • Mar
    • H. J. Tang, K. C. Tan, and E. J. Teoh, "Dynamics analysis and analog associative memory of networks with LT neurons," IEEE Trans. Neural Netw., vol. 17, no. 2, pp. 409-418, Mar. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.2 , pp. 409-418
    • Tang, H.J.1    Tan, K.C.2    Teoh, E.J.3
  • 17
    • 0032096386 scopus 로고    scopus 로고
    • On the piecewise analysis of linear threshold neural networks
    • R. Hahnloser, "On the piecewise analysis of linear threshold neural networks," Neural Netw., vol. 11, pp. 691-697, 1998.
    • (1998) Neural Netw , vol.11 , pp. 691-697
    • Hahnloser, R.1
  • 18
    • 0036835820 scopus 로고    scopus 로고
    • Selectively grouping neurons in recurrent networks of lateral inhibition
    • X. Xie, R. H. Hahnloser, and H. S. Seung, "Selectively grouping neurons in recurrent networks of lateral inhibition," Neural Comput., vol. 14, pp. 2627-2646, 2002.
    • (2002) Neural Comput , vol.14 , pp. 2627-2646
    • Xie, X.1    Hahnloser, R.H.2    Seung, H.S.3
  • 19
    • 67649365832 scopus 로고    scopus 로고
    • Permitted an forbidden sets in discrete-time linear threshold recurrent neural networks
    • Jun
    • Z. Yi, L. Zhang, J. Yu, and K. K. Tan, "Permitted an forbidden sets in discrete-time linear threshold recurrent neural networks," IEEE Trans. Neural Netw., vol. 20, no. 6, pp. 952-963, Jun. 2009.
    • (2009) IEEE Trans. Neural Netw , vol.20 , Issue.6 , pp. 952-963
    • Yi, Z.1    Zhang, L.2    Yu, J.3    Tan, K.K.4
  • 20
    • 0035432452 scopus 로고    scopus 로고
    • Dynamical stability conditions for recurrent neural networks with unsaturating piecewise linear transfer functions
    • H. Wersing, W. J. Beyn, and H. Ritter, "Dynamical stability conditions for recurrent neural networks with unsaturating piecewise linear transfer functions," Neural Comput., vol. 13, pp. 1811-1825, 2001.
    • (2001) Neural Comput , vol.13 , pp. 1811-1825
    • Wersing, H.1    Beyn, W.J.2    Ritter, H.3
  • 21
    • 0037366084 scopus 로고    scopus 로고
    • Multistability analysis for recurrent neural networks with unsaturating piecewise linear transfer functions
    • Mar
    • Z. Yi, K. K. Tan, and T. H. Lee, "Multistability analysis for recurrent neural networks with unsaturating piecewise linear transfer functions," Neural Comput., vol. 15, pp. 639-662, Mar. 2003.
    • (2003) Neural Comput , vol.15 , pp. 639-662
    • Yi, Z.1    Tan, K.K.2    Lee, T.H.3
  • 22
    • 2442432590 scopus 로고    scopus 로고
    • Multistability analysis of discrete recurrent neural networks with unsaturating piecewise linear transfer functions
    • Mar
    • Z. Yi and K. K. Tan, "Multistability analysis of discrete recurrent neural networks with unsaturating piecewise linear transfer functions," IEEE Trans. Neural Netw., vol. 15, no. 2, pp. 329-336, Mar. 2004.
    • (2004) IEEE Trans. Neural Netw , vol.15 , Issue.2 , pp. 329-336
    • Yi, Z.1    Tan, K.K.2
  • 23
    • 39549123043 scopus 로고    scopus 로고
    • Multiperiodicity and attractivity of delayed recurrent neural networks with unsaturating piecewise linear transfer functions
    • Jan
    • L. Zhang, Z. Yi, and J. Yu, "Multiperiodicity and attractivity of delayed recurrent neural networks with unsaturating piecewise linear transfer functions," IEEE Trans. Neural Netw., vol. 19, no. 1, pp. 158-167, Jan. 2008.
    • (2008) IEEE Trans. Neural Netw , vol.19 , Issue.1 , pp. 158-167
    • Zhang, L.1    Yi, Z.2    Yu, J.3
  • 24
    • 33746867472 scopus 로고    scopus 로고
    • Learning lateral interactions for feature binding and sensory segmentation from prototypic basis interactions
    • Jul
    • S. Weng, H. Wersing, J. J. Steil, and H. Ritter, "Learning lateral interactions for feature binding and sensory segmentation from prototypic basis interactions," IEEE Trans. Neural Netw., vol. 17, no. 4, pp. 843-862, Jul. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.4 , pp. 843-862
    • Weng, S.1    Wersing, H.2    Steil, J.J.3    Ritter, H.4
  • 25
    • 0030631860 scopus 로고    scopus 로고
    • A simple neural network exhibiting selective activation of neuronal ensembles: From winner-take-all to winnershare-all
    • T. Fukai and S. Tanaka, "A simple neural network exhibiting selective activation of neuronal ensembles: From winner-take-all to winnershare-all," Neural Comput., vol. 9, pp. 77-97, 1997.
    • (1997) Neural Comput , vol.9 , pp. 77-97
    • Fukai, T.1    Tanaka, S.2
  • 26
    • 0033106132 scopus 로고    scopus 로고
    • A subthreshold MOS circuit for the Lotka-Volterra neural network producing the winner-take-all solutions
    • T. Asai, T. Fukai, and S. Tanaka, "A subthreshold MOS circuit for the Lotka-Volterra neural network producing the winner-take-all solutions," Neural Netw., vol. 12, pp. 211-216, 1999.
    • (1999) Neural Netw , vol.12 , pp. 211-216
    • Asai, T.1    Fukai, T.2    Tanaka, S.3
  • 27
    • 0032594855 scopus 로고    scopus 로고
    • Analog integrated circuits for the Lotka-Volterra competitive neural networks
    • Sep
    • T. Asai, M. Ohtani, and H. Yonezu, "Analog integrated circuits for the Lotka-Volterra competitive neural networks," IEEE Trans. Neural Netw., vol. 10, no. 5, pp. 1222-1231, Sep. 1999.
    • (1999) IEEE Trans. Neural Netw , vol.10 , Issue.5 , pp. 1222-1231
    • Asai, T.1    Ohtani, M.2    Yonezu, H.3
  • 28
    • 0037365779 scopus 로고    scopus 로고
    • Permitted and forbidden sets in symmetric threshold-linear networks
    • R. H. Hahnloser, H. S. Seung, and J. J. Slotine, "Permitted and forbidden sets in symmetric threshold-linear networks," Neural Comput., vol. 15, pp. 621-638, 2003.
    • (2003) Neural Comput , vol.15 , pp. 621-638
    • Hahnloser, R.H.1    Seung, H.S.2    Slotine, J.J.3
  • 30
    • 33646974391 scopus 로고    scopus 로고
    • Dynamical stability conditions for Lotka-Volterra recurrent neural networks with delays
    • Jul
    • Z. Yi and K. K. Tan, "Dynamical stability conditions for Lotka-Volterra recurrent neural networks with delays," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 66, Jul. 2002, 011910.
    • (2002) Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top , vol.66 , pp. 011910
    • Yi, Z.1    Tan, K.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.