Implications of neuronal diversity on population coding

Neural Computation

Volumn 18, Issue 8, 2006, Pages 1951-1986

  Shamir, Maoz ^a   Sompolinsky, Haim ^b  

^a BOSTON UNIVERSITY   (United States)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ANIMAL; ARTICLE; ARTIFACT; ARTIFICIAL NEURAL NETWORK; BIOLOGICAL MODEL; BRAIN; HUMAN; NERVE CELL; NERVE CELL NETWORK; NERVE TRACT; PHYSIOLOGY; STATISTICAL MODEL; SYNAPTIC TRANSMISSION;

ACTION POTENTIALS; ANIMALS; ARTIFACTS; BRAIN; HUMANS; LINEAR MODELS; MODELS, NEUROLOGICAL; NERVE NET; NEURAL NETWORKS (COMPUTER); NEURAL PATHWAYS; NEURONS; SYNAPTIC TRANSMISSION;

EID: 33745808854     PISSN: 08997667     EISSN: 1530888X     Source Type: Journal    
DOI: 10.1162/neco.2006.18.8.1951     Document Type: Article

References (30)

1. Abbott, L. F., & Dayan P. (1999). The effect of correlated variability on the accuracy of a population code. Neural Comput., 11(1), 91-101.
2. Carmena, J. M., Lebedev, M. A., Crist R. E., O'Doherty J. E., Santucci, D. M., Dimitrov, D., Patil, P. G., Henriquez, C. S., & Nicolelis, M. A. (2003). Learning to control a brain-machine interface for reaching and grasping by primates. PLoS Biol, 1(2), 193-207.
3. Coltz, J. D., Johnson, M. T., & Ebner, T. J. (2000). Population code for tracking velocity ased on cerebellar Purkinje cell simple spike firing in monkeys. Neurosci. Lett., 296(1), 1-4.
4. Georgopoulos, A. P., Schwartz, A. B., & Kettner, R. E. (1982). On the relations between the direction of two-dimensional arm movements and cell discharge in primate motor cortex. J. Neurosci., 2(11), 1527-1537.
5. Georgopoulos, A. P., Schwartz, A. B., & Kettner, R. E. (1986). Neuronal population coding of movement direction. Science, 233(4771), 1416-1419.
6. Hansen, L. K., Pathria R., & Salamon, P. (1993). Stochastic dynamics of supervised learning. J. Phys. A: Math. Gen., 26(1), 63-71.
7. 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.
8. Kay, S. M. (1993). Fundamentals of statistical signal processing. Upper Saddle River, NJ: Prentice Hall.
9. Lee, D., Port, N. L., Kruse, W., & Georgopoulos, A. P. (1998). Variability and correlated noise in the discharge of neurons in motor and parietal areas of the primate cortex. J. Neurosci., 18(3), 1161-1170.
10. Mastronarde, D. N. (1983). Correlated firing of cat retinal ganglion cells. II. Responses of X- and Y-cells to single quantal events. J. Neurophysiol., 49(2), 325-349.
11. Maynard, E. M., Hatsopoulos, N. G., Ojakangas, C. L., Acuna, B. D., Sanes, J. N., Normann R. A., & Donoghue, J. P. (1999). Neuronal interactions improve cortical population coding of movement direction, J. Neurosci., 19(18), 8083-8093.
12. Mehta, L. M. (1991). Random matrices (2nd ed.). San Diego, CA: Academic Press.
13. Paradiso, M. A. (1988). A theory for the use of visual orientation information which exploits the columnar structure of striate cortex. Biol. Cybern., 58(1), 35-49.
14. Radons, R. (1993). On stochastic dynamics of supervised learning. J. Phys. A: Math. Gen., 26(14), 3455-3461.
15. Razak, K. A., & Fuzessery, Z. M. (2002). Functional organization of the pallid bat auditory cortex: Emphasis on binaural organization. J. Neurophysiol, 87(1), 72-86.
16. Ringach, D. L., Shapley, R. M., & Hawken, M. J. (2002). Orientation selectivity in macaque VI: Diversity and laminar dependence. J. Neurosci., 22(13), 5639-5651.
17. Salinas, E., & Abbott, L. F. (1994). Vector reconstruction from firing rates. J. Comp. Neurosci., 1 (1-2), 89-107.
18. Schwartz, A. B., Taylor, D. M., & Tillery, S. I. (2001). Extraction algorithms for cortical control of arm prosthetics. Curr. Opin. Neurobiol, 11(6), 701-707.
19. Seung H. S., & Sompolinsky H. (1993). Simple models for reading neuronal population codes. Proc. Natl. Acad. Sci. USA, 90(22), 10749-10753.
20. Seung H. S., Tishby N., & Sompolinsky H. (1992). Statistical mechanics of learning from examples. Phys. Rev. A, 45(8), 6056-6091.
21. Shamir, M., & Sompolinsky, H. (2001). Correlation codes in neuronal networks. In D. G. Thomas, B. Suzanna, & G. Zoubin (Eds.), Advances in neural information processing systems, 14. Cambridge, MA: MIT Press.
22. Shamir, M., & Sompolinsky, H. (2004). Nonlinear population codes. Neural Comput., 16(6), 1105-1136.
23. Sompolinsky, H., Yoon, H., Kang, K., & Shamir, M. (2001). Population coding in neuronal systems with correlated noise. Phys. Rev. E, 64(5 Pt. 1), 051904.
24. Thomas, J. A., & Cover, T. M. (1991). Elements of information theory. New York: Wiley.
25. van Kan, P. L., Scobey, R. P., & Gabor A. J. (1985). Response covariance in cat visual cortex. Exp. Brain. Res., 60(3), 559-563.
26. Wessberg, J., Stambaugh, C. R., Kralik, J. D., Beck, P. D., Laubach, M., Chapin, J. K., Kim, J., Biggs, S. J., Srinivasan, M. A., & Nicolelis, M. A. (2000). Real-time prediction of hand trajectory by ensembles of cortical neurons in primates. Nature, 405(6810), 361-365.
27. Wu, S., Amari, S., & Nakahara, H. (2002). Population coding and decoding in a neural field: A computational study. Neural Comput., 14(5), 999-1026.
28. Wu, S., Amari, S., & Nakahara, H. (2004). Information processing in a neuron ensemble with the multiplicative correlation structure. Neural Netw., 17(2), 205-214.
29. Yoon, H., & Sompolinsky, H. (1999). The effect of correlations on the Fisher information of population codes. In M. J. Kearns, S. A. Solla, & D. A. Cohn (Eds.), Advances in neural information processing systems, 11. Cambridge, MA: MIT Press.
30. Zohary, E., Shadlen, M. N., & Newsome, W. T. (1994). Correlated neuronal discharge rate and its implications for psychophysical performance. Nature, 370(6485), 140-143.