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Volumn 15, Issue 5, 2004, Pages 995-1001

On the sample complexity of learning for networks of spiking neurons with nonlinear synaptic interactions

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE SYSTEMS; COMPUTATIONAL COMPLEXITY; COMPUTER VISION; LEARNING ALGORITHMS; MATHEMATICAL MODELS; SPEECH RECOGNITION; VLSI CIRCUITS;

EID: 4644304318     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2004.832810     Document Type: Article
Times cited : (2)

References (31)
  • 1
    • 84958955636 scopus 로고    scopus 로고
    • Complexity of learning for networks of spiking neurons with nonlinear synaptic interactions
    • Lecture Notes in Computer Science, G. Dorffner, H. Bischof, and K. Hornik, Eds
    • M. Schmitt, "Complexity of learning for networks of spiking neurons with nonlinear synaptic interactions," in Proc. Int. Conf. Artificial Neural Networks (ICANN), vol. 2130, Lecture Notes in Computer Science, G. Dorffner, H. Bischof, and K. Hornik, Eds., 2001, pp. 247-252.
    • (2001) Proc. Int. Conf. Artificial Neural Networks (ICANN) , vol.2130 , pp. 247-252
    • Schmitt, M.1
  • 2
    • 0037153152 scopus 로고    scopus 로고
    • Multiplicative computation in a visual neuron sensitive to looming
    • F. Gabbiani, H. G. Krapp, C. Koch, and G. Laurent, "Multiplicative computation in a visual neuron sensitive to looming," Nature, vol. 420, pp. 320-324, 2002.
    • (2002) Nature , vol.420 , pp. 320-324
    • Gabbiani, F.1    Krapp, H.G.2    Koch C. Laurent, G.3
  • 4
    • 0007612149 scopus 로고
    • Nonlinear interactions in a dendritic tree: Localization, timing, and role in information processing
    • C. Koch, T. Poggio, and V. Torre, "Nonlinear interactions in a dendritic tree: localization, timing, and role in information processing," Proc. Nat. Acad. Sci. USA, vol. 80, pp. 2799-2802, 1983.
    • (1983) Proc. Nat. Acad. Sci. USA , vol.80 , pp. 2799-2802
    • Koch, C.1    Poggio, T.2    Torre, V.3
  • 5
    • 0014496901 scopus 로고
    • Non-linear summation of unit synaptic potentials in spinal motoneurones of the cat
    • M. Kuno and J. T. Miyahara, "Non-linear summation of unit synaptic potentials in spinal motoneurones of the cat," J. Physiol,, vol. 201, pp. 465-477, 1969.
    • (1969) J. Physiol. , vol.201 , pp. 465-477
    • Kuno, M.1    Miyahara, J.T.2
  • 7
    • 0001136927 scopus 로고    scopus 로고
    • Computing with action potentials
    • M. I. Jordan, M. J. Kearns, and S. A. Solla, Eds. Cambridge, MA: MIT Press
    • J. J. Hopfield, C. D. Brody, and S. Roweis, "Computing with action potentials," in Advances in Neural Information Processing Systems 10, M. I. Jordan, M. J. Kearns, and S. A. Solla, Eds. Cambridge, MA: MIT Press, 1998, pp. 166-172.
    • (1998) Advances in Neural Information Processing Systems , vol.10 , pp. 166-172
    • Hopfield, J.J.1    Brody, C.D.2    Roweis, S.3
  • 9
    • 0037104757 scopus 로고    scopus 로고
    • Precise firing events are conserved across neurons
    • P. Reinagel and R. C. Reid, "Precise firing events are conserved across neurons," J. Neurosci., vol. 22, pp. 6837-6841, 2002.
    • (2002) J. Neurosci. , vol.22 , pp. 6837-6841
    • Reinagel, P.1    Reid, R.C.2
  • 11
    • 0036092498 scopus 로고    scopus 로고
    • Cortical representation of auditory space: Information-bearing features of spike patterns
    • S. Furukawa and J. C. Middlebrooks, "Cortical representation of auditory space: information-bearing features of spike patterns," J. Neurophysiol., vol. 87, pp. 1749-1762, 2001.
    • (2001) J. Neurophysiol. , vol.87 , pp. 1749-1762
    • Furukawa, S.1    Middlebrooks, J.C.2
  • 12
    • 0030661605 scopus 로고    scopus 로고
    • First-spike timing of auditory-nerve fibers and comparison with auditory cortex
    • P. Heil and D. R. F. Irvine, "First-spike timing of auditory-nerve fibers and comparison with auditory cortex," J. Neurophysiol., vol. 78, pp. 2438-2454, 1997.
    • (1997) J. Neurophysiol. , vol.78 , pp. 2438-2454
    • Heil, P.1    Irvine, D.R.F.2
  • 13
    • 0035052392 scopus 로고    scopus 로고
    • The role of spike timing in the coding of stimulus location in rat somatosensory cortex
    • S. Panzeri, R. S. Petersen, S. R. Schultz, M. Lebedev, and M. E. Diamond, "The role of spike timing in the coding of stimulus location in rat somatosensory cortex," Neuron, vol. 29, pp. 769-777, 2001.
    • (2001) Neuron , vol.29 , pp. 769-777
    • Panzeri, S.1    Petersen, R.S.2    Schultz, S.R.3    Lebedev, M.4    Diamond, M.E.5
  • 14
    • 0002383423 scopus 로고
    • The clusteron: Toward a simple abstraction for a complex neuron
    • J. Moody, S. Hanson, and R. Lippmann, Eds. San Mateo, CA: Morgan Kaufmann
    • B. W. Mel, "The clusteron: toward a simple abstraction for a complex neuron," in Advances in Neural Information Processing Systems 4, J. Moody, S. Hanson, and R. Lippmann, Eds. San Mateo, CA: Morgan Kaufmann, 1992, pp. 35-42.
    • (1992) Advances in Neural Information Processing Systems 4 , pp. 35-42
    • Mel, B.W.1
  • 15
    • 0036079843 scopus 로고    scopus 로고
    • Frequency- and temporal-domain neural competition in analog integrate-and-fire neurochips
    • T. Asai and Y. Amemiya, "Frequency- and temporal-domain neural competition in analog integrate-and-fire neurochips," in Proc. Int. Joint Conf. Neural Networks (IJCNN), vol. 2, 2002, pp. 1337-1341.
    • (2002) Proc. Int. Joint Conf. Neural Networks (IJCNN) , vol.2 , pp. 1337-1341
    • Asai, T.1    Amemiya, Y.2
  • 16
    • 0003252887 scopus 로고    scopus 로고
    • Pulse-based computation in VLSI neural networks
    • W. Maass and C. M. Bishop, Eds. Cambridge, MA: MIT Press ch. 3
    • A. F. Murray, "Pulse-based computation in VLSI neural networks," in Pulsed Neural Networks, W. Maass and C. M. Bishop, Eds. Cambridge, MA: MIT Press, 1999, ch. 3, pp. 87-109.
    • (1999) Pulsed Neural Networks , pp. 87-109
    • Murray, A.F.1
  • 18
    • 0015984892 scopus 로고
    • Arithmetical operations performed by nerve cells
    • S. Blomfield, "Arithmetical operations performed by nerve cells," Brain Res., vol. 69, pp. 115-124, 1974.
    • (1974) Brain Res. , vol.69 , pp. 115-124
    • Blomfield, S.1
  • 19
    • 0028278438 scopus 로고
    • Summation and division by neurons in primary visual cortex
    • M. Carandini and D. J. Heeger, "Summation and division by neurons in primary visual cortex," Science, vol. 264, pp. 1333-1336, 1994.
    • (1994) Science , vol.264 , pp. 1333-1336
    • Carandini, M.1    Heeger, D.J.2
  • 20
    • 84898984175 scopus 로고    scopus 로고
    • Circuits for VLSI implementation of temporally-asymmetric Hebbian learning
    • T. G. Dietterich, S. Becker, and Z. Ghahramani, Eds. Cambridge, MA: MIT Press
    • A. Bofill, A. F. Murray, and D. P. Thompson, "Circuits for VLSI implementation of temporally-asymmetric Hebbian learning," in Advances in Neural Information Processing Systems 14, T. G. Dietterich, S. Becker, and Z. Ghahramani, Eds. Cambridge, MA: MIT Press, 2002, pp. 1091-1098.
    • (2002) Advances in Neural Information Processing Systems , vol.14 , pp. 1091-1098
    • Bofill, A.1    Murray, A.F.2    Thompson, D.P.3
  • 21
    • 0036826068 scopus 로고    scopus 로고
    • Error-backpropagation in temporally encoded networks of spiking neurons
    • S. M. Bohte, J. N. Kok, and H. L. Poutré, "Error-backpropagation in temporally encoded networks of spiking neurons," Neurocomputing, vol. 48, pp. 17-37, 2002.
    • (2002) Neurocomputing , vol.48 , pp. 17-37
    • Bohte, S.M.1    Kok, J.N.2    Poutré, H.L.3
  • 22
    • 0032629465 scopus 로고    scopus 로고
    • Biologically-inspired on-chip learning in pulsed neural networks
    • T. Lehmann and R. Woodburn, "Biologically-inspired on-chip learning in pulsed neural networks," Analog Integr. Circuits Signal Process., vol. 18, pp. 117-131, 1999.
    • (1999) Analog Integr. Circuits Signal Process. , vol.18 , pp. 117-131
    • Lehmann, T.1    Woodburn, R.2
  • 23
    • 0032075496 scopus 로고    scopus 로고
    • Self-organization of spiking neurons using action potential timing
    • May
    • B. Ruf and M. Schmitt, "Self-organization of spiking neurons using action potential timing," IEEE Trans. Neural Networks, vol. 9, pp. 575-578, May 1998.
    • (1998) IEEE Trans. Neural Networks , vol.9 , pp. 575-578
    • Ruf, B.1    Schmitt, M.2
  • 24
    • 0032037723 scopus 로고    scopus 로고
    • Synaptic delay learning in pulse-coupled neurons
    • H. Hüning, H. Glünder, and G. Palm, "Synaptic delay learning in pulse-coupled neurons," Neural Computat., vol. 10, pp. 555-565, 1998.
    • (1998) Neural Computat. , vol.10 , pp. 555-565
    • Hüning, H.1    Glünder, H.2    Palm, G.3
  • 26
    • 4644327403 scopus 로고    scopus 로고
    • Vapnik-Chervonenkis dimension of neural nets
    • 2nd ed, M. A. Arbib, Ed. Cambridge, MA: MIT Press
    • P. L. Bartlett and W. Maass, "Vapnik-Chervonenkis dimension of neural nets," in The Handbook of Brain Theory and Neural Networks, 2nd ed, M. A. Arbib, Ed. Cambridge, MA: MIT Press, 2003, pp. 1188-1192.
    • (2003) The Handbook of Brain Theory and Neural Networks , pp. 1188-1192
    • Bartlett, P.L.1    Maass, W.2
  • 27
    • 0009846660 scopus 로고    scopus 로고
    • VC dimension of neural networks
    • C. M. Bishop, Ed. Berlin, Germany: Springer-Verlag
    • E. D. Sontag, "VC dimension of neural networks," in Neural Networks and Machine Learning, C. M. Bishop, Ed. Berlin, Germany: Springer-Verlag, 1998, pp. 69-95.
    • (1998) Neural Networks and Machine Learning , pp. 69-95
    • Sontag, E.D.1
  • 28
    • 0013037041 scopus 로고    scopus 로고
    • Almost linear VC-dimension bounds for piecewise polynomial networks
    • P. L. Bartlett, V. Maiorov, and R. Meir, "Almost linear VC-dimension bounds for piecewise polynomial networks," Neural Computat., vol. 10, pp. 2159-2173, 1998.
    • (1998) Neural Computat. , vol.10 , pp. 2159-2173
    • Bartlett, P.L.1    Maiorov, V.2    Meir, R.3
  • 29
    • 0029256399 scopus 로고
    • Bounding the Vapnik-Chervonenkis dimension of concept classes parameterized by real numbers
    • P. W. Goldberg and M. R. Jerrum, "Bounding the Vapnik-Chervonenkis dimension of concept classes parameterized by real numbers," Mach. Learn., vol. 18, pp. 131-148, 1995.
    • (1995) Mach. Learn. , vol.18 , pp. 131-148
    • Goldberg, P.W.1    Jerrum, M.R.2
  • 30
    • 0004512775 scopus 로고    scopus 로고
    • On the complexity of learning for spiking neurons with temporal coding
    • W. Maass and M. Schmitt, "On the complexity of learning for spiking neurons with temporal coding," Inform. Computat., vol. 153, pp. 26-46, 1999.
    • (1999) Inform. Computat. , vol.153 , pp. 26-46
    • Maass, W.1    Schmitt, M.2
  • 31
    • 0036482614 scopus 로고    scopus 로고
    • On the complexity of computing and learning with multiplicative neural networks
    • M. Schmitt, "On the complexity of computing and learning with multiplicative neural networks," Neural Computat., vol. 14, pp. 241-301, 2002.
    • (2002) Neural Computat. , vol.14 , pp. 241-301
    • Schmitt, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.