Population Coding and Decoding in a Neural Field: A Computational Study

Neural Computation

Volumn 14, Issue 5, 2002, Pages 999-1026

  Wu, Si ^a   Amari, Shun Ichi ^a   Nakahara, Hiroyuki ^a,b  

^a RIKEN BRAIN SCIENCE INSTITUTE   (Japan)

^b JAPAN ADVANCED INSTITUTE OF SCIENCE AND TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ARTIFICIAL NEURAL NETWORK; NERVE TRACT; PHYSIOLOGY;

NEURAL NETWORKS (COMPUTER); NEURAL PATHWAYS;

EID: 0036583146     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/089976602753633367     Document Type: Article

References (37)

1. Abbott, L. F., & Dayan, P. (1999). The effect of correlated variability on the accuracy of a population code. Neural Computation, 11, 91-101.
2. Akahira, M., & Takeuchi, K. (1981). Asymptotic efficiency of statistical estimation: Concepts and high order asymptotic efficiency. Berlin: Springer-Verlag.
3. Amari, S. (1977). Dynamics of pattern formation in lateral-inhibition type neural fields, Biological Cybernetics, 27, 77-87.
4. Baldi, P., & Heiligenberg, W. (1988). How sensory maps could enhance resolution through ordered arrangements of broadly tuned receivers. Biological Cybernetics, 59, 313-318.
5. Brunel, N., & Nadal, J.-P. (1998). Mutual information, Fisher information, and population coding. Neural Computation, 10, 1731-1757.
6. Cohen, M., & Grossberg, S. (1983). Absolute stability of global pattern formulation and parallel memory storage by competitive neural networks. IEEE Trans. SMC, 13, 815-826.
7. Deneve, S., Latham, P. E., & Pouget, A. (1999). Reading population codes: A neural implementation of ideal observers. Nature Neuroscience, 2, 740-745.
8. Eurich, C. W., Wilke, S. D., & Schwegler, H. (2000). Neural representation of multi-dimensional stimuli. In S. A. Solla, T. K. Leen, & K.-R. Müller (Eds.), Advances in neural information processing systems, 12 (pp. 115-121). Cambridge, MA: MIT Press.
9. Fetz, E., Yoyama, K., & Smith, W. (1991). Synaptic interactions between cortical neurons. In A. Peters & E. G. Jones (Ed.), Cerebral cortex, 9. New York: Plenum Press.
10. Gawne, T. J., & Richmond, B. J. (1993). How independent are messages carried by adjacent inferior temporal cortical neurons? J. Neuroscience, 13, 2758-2771.
11. Georgopoulos, A. P., Kalaska, J. F., Caminiti, R., & Massey, J. T. (1982). On the relations between the direction of two-dimensional arm movements and cell discharge in primate motor cortex. J. Neurosci., 2, 1527-1537.
12. Giese, M. A. (1999). Dynamic neural field theory for motion perception. Norwell, MA: Kluwer Academic.
13. Johnson, K. O. (1980). Sensory discrimination: Neural processes preceding discrimination decision. J. Neurophysiology, 43, 1793-1815.
14. 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. Neuroscience, 18, 1161-1170.
15. Maunsell, J. H. R., & Van Essen, D. C. (1983). Functional properties of neurons in middle temporal visual area of the Macaque monkey. I. Selectivity for stimulus direction, speed, and orientation. J. Neurophysiology, 49, 1127-1147.
16. Murata, M., Yoshizawa, S., & Amari, S. (1994). Network information criterion - determining the number of hidden units for artificial neural network model. IEEE Trans. Neural Networks, 5, 865-872.
17. Nakahara, H., & Amari, S. (in press). Attention modulation of neural tuning through peak and base rate in correlated firing. Neural Networks.
18. Nakahara, H., Wu, S., & Amari, S. (2001). Attention modulation of neural tuning through peak and base rate. Neural Computation, 13, 2031-2047.
19. Paradiso, M. A. (1988). A theory for use of visual orientation information which exploits the columnar structure for striate cortex. Biological Cybernetics, 58, 35-49.
20. Pouget, A., & Zhang, K. (1997). Statistically efficient estimation using cortical lateral connections. In M. Mozer, M. Jordan, & T. Petsche (Eds.), Advances in neural processing systems, 9 (pp. 97-103). Cambridge, MA: MIT Press.
21. Pouget, A., Zhang, K., Deneve, S., & Latham, P. E. (1998). Statistically efficient estimation using population coding. Neural Computation, 10, 373-401.
22. Salinas, E., & Abbott, L. F. (1994). Vector reconstruction from firing rates. J. Comp. Neurosci., 1, 89-107.
23. Seung, H. S. (1996). How the brain keeps the eyes still. Proc. Acad. Sci. USA, 93, 13339-13344.
24. Seung, H. S., & Sompolinsky, H. (1993). Simple models for reading neuronal population codes. Proc. Natl. Acad. Sci. USA, 90, 10749-10753.
25. Snippe, H. P. (1996). Parameter extraction from population codes: A critical assessment. Neural Computation, 8, 511-529.
26. Snippe, H. P., & Koenderink, J. J. (1992). Information in channel-coded systems: Correlated receivers. Biological Cybernetics, 67, 183-190.
27. Treue, S., Hol, K., & Rauber, H.-J. (2000). Seeing multiple directions of motion-physiology and psychophysics. Nature Neuroscience, 3, 270-276.
28. Wilke, S. D., & Eurich, C. W. (in press). Representational accuracy of stochastic neural population. Neural Computation.
29. Wu, S., Chen, D., & Amari, S. (2000). Unfaithful population decoding. In Proceedings of the International Joint Conference on Neural Networks.
30. Wu, S., Nakahara, H., & Amari, S. (2001). Population coding with correlation an unfaithful model. Neural Computation, 13, 775-797.
31. Wu, S., Nakahara, H., Murata, N., & Amari, S. (2000). Population decoding based on an unfaithful model. In S. A. Solla, T. K. Leen, & K.-R. Müller (Eds.), Advances in neural information systems, 12 (pp. 192-198). Cambridge, MA: MIT Press.
32. Yoon, H., & Sompolinsky, H. (1999). The effect of correlations on the Fisher information of population codes. In M. S. Kearns, S. Solla, & D. Cohn (Eds.), Advances in neural information processing systems, 11 (pp. 167-173). Cambridge, MA: MIT Press.
33. Zemel, R. S., Dayan, P., & Pouget, A. (1998). Probabilistic interpolation of population codes. Neural Computation, 10, 403-430.
34. Zhang, K-C. (1996). Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: A theory. J. Neuroscience, 16, 2112-2126.
35. Zhang, K., & Sejnowski, T. J. (1999). Neural tuning: To sharpen or broaden. Neural Computation, 11, 75-84.
36. Zohary, E. (1992). Population coding of visual stimuli by cortical neurons tuned to more than one dimension. Biological Cybernetics, 66, 265-272.
37. Zohary, E., Shadlen, M. N., & Newsome, W. T. (1994). Correlated neural discharge rate and its implications for psychophysical performance. Nature, 370, 140-143.