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VC dimension of an integrate-and-fire neuron model
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Source Annual Workshop on Computational Learning Theory archive
Proceedings of the ninth annual conference on Computational learning theory table of contents
Desenzano del Garda, Italy
Pages: 10 - 18  
Year of Publication: 1996
ISBN:0-89791-811-8
Authors
Anthony M. Zador  The Salk Institute, 10010 N. Torrey Pines Rd. La Jolla, CA
Barak A. Pearlmutter  Dept. of Cog. Sci., UCSD MS 0515, 9500 Gilman Drive, La Jolla, CA
Sponsors
Univ degli Studi de Milano : Universite degli Studi de Milano
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGART: ACM Special Interest Group on Artificial Intelligence
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
Abu-Mostafa, Y. S. (1989). The Vapnik-Chervonenkis Dimension: Information versus Complexity in Learning. Neural Computation, ~(3), 312-317.
 
2
Anthony, M. (1994). Probabilistic Analysis of Learning in Artificial Neural Networks: The PAC Model and its Variants. Mathematics preprint series LSE-MPS-67, Dept. of Mathematics, London School of Economics, Houghton St., London WC2A 2AE, UK. Also available as NeuroCOLT technical report NC-TR-94-3, ftp://cscx.cs.rhbnc.ac.uk/pub/neurocolt/tech_reports/.
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Bryant and Segundo (1976). Spike Initiation by Transmembrane Current: A White-Noise Analysis. Journal of Physiology, 260, 279-314.
 
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COLT (1994). Seventh Annual A CM Workshop on Computational Learning Theory, New Brunswick, NJ.
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Hille, B. (1992). Ionic Channels of Excitable Membranes (Second edition). Sinauer Associates, Sunderland, Massachusetts.
 
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Hodgkin, A. and Huxley, A. (1952). Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo. Journal of Physiology, 116, 449-472.
 
12
Koch, C., Bernander, O., and Douglas, R. J. (1995). Do neurons have a voltage or a current threshold for action potential initiation?. Journal of Computational Neuroscience, 2, 63-82.
 
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Koch, C., Poggio, T., and Torre, V. (1982). Retinal Ganglion Cells: a Functional Interpretation of Dendritic Morphology. Proc. of the Royal Soc. of London B, 298, 227-264.
 
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Wolfgang Maass, Lower bounds for the computational power of networks of spiking neurons, Neural Computation, v.8 n.1, p.1-40, Jan. 1996
 
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Sakmann, B. and Neher, E. (Eds.). (1983). Single Channel Recording. Plenum Press.
 
19
Shepherd, G. and Brayton, R. (1987). Logic operations are properties of computer-simulated interactions between excitable dendritic spines. Journal of Neuroscience, 21,151-166.
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Vapnik, V. and Chervonenkis, A. (1971). On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities. Theory of Probability and Its Applications, 16, 264-280.
 
22
Zador, A. M., Claiborne, B. J., and Brown, T. H. (1992). Nonlinear Pattern Separation in Single Hippocampal Neurons with Active Dendritic Membrane. In Advances in Neural Information Processing Systems 4, pp. 51-58. Morgan Kaufmann.
 
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Anthony M. Zador , Barak A. Pearlmutter, VC dimension of an integrate-and-fire neuron model, Neural Computation, v.8 n.3, p.611-624, April 1996

Collaborative Colleagues:
Anthony M. Zador: colleagues
Barak A. Pearlmutter: colleagues