An analysis of synaptic normalization in a general class of Hebbian models

Neural Computation

Volumn 15, Issue 4, 2003, Pages 937-963

  Elliott, Terry ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; NERVE CELL PLASTICITY; PHYSIOLOGY; SENSORY NERVE CELL; STATISTICAL MODEL; SYNAPSE;

ANIMALS; LINEAR MODELS; MODELS, NEUROLOGICAL; NEURONAL PLASTICITY; NEURONS, AFFERENT; SYNAPSES;

EID: 0038362686     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/08997660360581967     Document Type: Article

References (21)

1. Bienenstock, E. L, Cooper, L. N., & Munro, P. W. (1982). Theory for the development of neuron selectivity: Orientation specificity and binocular interaction in visual cortex. J. Neurosci., 2, 32-48.
2. Crowley, J. C., & Katz, L. C. (1999). Development of ocular dominance columns in the absence of retinal input. Nature Neurosci., 2, 1125-1130.
3. Crowley, J. C., & Katz, L. C. (2000). Early development of ocular dominance columns. Science, 290, 1321-1324.
4. Elliott, T., & Shadbolt, N. R. (1998). Competition for neurotrophic factors: Mathematical analysis. Neural Comp., 10, 1939-1981.
5. Elliott, T., & Shadbolt, N. R. (2002). Multiplicative synaptic normalization and a non-linear Hebb rule underlie a neurotrophic model of competitive synaptic plasticity. Neural Comp., 14, 1311-1322.
6. Goodhill, G. J., & Barrow, H. G. (1994). The role of weight normalization in competitive learning. Neural Comp., 6, 255-269.
7. Grossberg, S. (1987). Competitive learning: From interaction activation to adaptive resonance. Cog. Sci., 11, 23-63.
8. Grossberg, S. (1988). Nonlinear neural networks: Principles, mechanisms and architectures. Neural Networks, 1, 17-61.
9. Harris, A. E., Ermentrout, G. B., & Small, S. L. (1997). A model of ocular dominance column development by competition for trophic support. Proc. Natl. Acad. Sci. U.S.A., 94, 9944-9949.
10. Hubel, D. H., & Wiesel, T. N. (1962). Receptive fields, binocular interaction and functional architecture in the cat's visual cortex. J. Physiol., 160, 106-154.
11. Kohonen, T. (1995). Self-organizing maps. Heidelberg: Springer-Verlag.
12. McAllister, A. K., Katz, L. C., & Lo, D. C. (1999). Neurotrophins and synaptic plasticity. Annu. Rev. Neurosci., 22, 295-318.
13. Miller, K. D., & MacKay, D. J. C. (1994). The role of constraints in Hebbian learning. Neural Comp., 6, 100-126.
14. Oja, E. (1982). A simplified neuron model as a principal component analyzer. J. Math. Biol., 15, 267-273.
15. Purves, D., & Lichtman, J. W. (1985). Principles of neural development. Sunderland, MA: Sinauer.
16. Purves, D., Riddle, D. R., & LaMantia, A.-S. (1992). Iterated patterns of brain circuitry (or how the cortex gets its spots). Trends Neurosci., 15, 362-368.
17. Swindale, N. V. (1980). A model for the formation of ocular dominance stripes. Proc. Roy. Soc. Lond. Ser. B, 208, 243-264.
18. von der Malsburg, C. (1973). Self-organization of orientation selective cells in the striate cortex. Kybernetik, 14, 85-100.
19. von der Malsburg, C., & Willshaw, D. J. (1981). Differential equations for the development of topographical nerve fibre projections. SIAM-AMS Proceedings, 13, 39-47.
20. Wiskott, L., & Sejnowski, T. J. (1998). Constrained optimization for neural map formation: A unifying framework for weight growth and normalization. Neural Comp., 10, 671-716.
21. Yuille, A. L. (1989). A winner-take-all mechanism based on presynaptic inhibition feedback. Neural Comp., 1, 334-347.