Duality of rate coding and temporal coding in multilayered feedforward networks

Neural Computation

Volumn 15, Issue 1, 2003, Pages 103-125

  Masuda, Naoki ^a   Aihara, Kazuyuki ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ARTICLE; ARTIFICIAL NEURAL NETWORK; PHYSIOLOGY;

ACTION POTENTIALS; NEURAL NETWORKS (COMPUTER);

EID: 0037270342     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/089976603321043711     Document Type: Article

References (59)

1. Abbott, L. F., & Nelson, S. B. (2000). Synaptic plasticity: Taming the beast. Nature Neuroscience (Suppl.), 3, 1178-1183.
2. Abbott, L. F., Varela, J. A., Sen, K., & Nelson, S. B. (1997). Synaptic depression and cortical gain control. Science, 275, 220-224.
3. Abeles, M. (1982). Role of the cortical neuron: Integrator or coincidence detector? Isr. J. Med. Sci., 18, 83-92.
4. Abeles, M. (1991). Corticonics. Cambridge: Cambridge University Press.
5. Aertsen, A. M. H. J., Gerstein, G. L., Habib, M. K., & Palm, G. (1989). Dynamics of neuronal firing correlation: Modulation of "effective connectivity." J. Neurophsiol., 61(5), 900-917.
6. Aihara, K., & Tokuda, I. (2002). Possible neural coding with inter-event intervals of synchronous firing. Physical Review E, 66, 026212.
7. Araki, O., & Aihara, K. (2001). Dual information representation with stable firing rates and chaotic spatiotemporal spike patterns in a neural network model. Neural Computation, 13, 2799-2822.
8. Arieli, A., Sterkin, A., Grinvald, A., & Aertsen, A. (1996). Dynamics of ongoing activity: Explanation of the large variability in evoked cortical responses. Science, 273, 1868-1871.
9. Azouz, R., & Gray, C. M. (1999). Cellular mechanisms contributing to response variability of cortical neurons in vivo. J. Neurosci., 19(6), 2209-2223.
10. Bernander, O., Douglas, R. J., Martin, K. A. C., & Koch, C. (1991). Synaptic background activity influences spatiotemporal integration in single pyramidal cells. Proc. Nail. Acad. Sci. USA, 88, 11569-11573.
11. Bottani, S. (1995). Pulse-coupled relaxation oscillators: From biological synchronization to self-organized criticality. Phys. Rev. Lett., 74(21), 4189-4192.
12. Brecht, M., Singer, W., & Engel, A. K. (1999). Patterns of synchronization in the superior colliculus of anesthetized cats. J. Neurosci., 19(9), 3567-3579.
13. Bressloff, P. C., & Coombes, S. (2000). Dynamics of strongly coupled spiking neurons. Neural Computation, 12, 91-129.
14. Câteau, H., & Fukai, T. (2001). Fokker-Planck approach to the pulse packet propagation in synfire chain. Neural Networks, 14, 675-685.
15. Damasio, A. R. (1989). The brain binds entities and events by multiregional activation from convergence zones. Neural Computation, 1, 123-132.
16. de Oliveira, S. C., Thiele, A., & Hoffmann, K-P. (1997). Synchronization of neuronal activity during stimulus expectation in a direction discrimination task. J. Neurosci., 17(23), 9248-9260.
17. Diesmann, M., Gewaltig, M-O., & Aertsen, A. (1999). Stable propagation of synchronous spiking in cortical neural networks. Nature, 402, 529-533.
18. Domany, E., van Hemmen, J. K., & Schulten, K. (Eds.). (1994). Models of neural networks II. New York: Springer-Verlag.
19. Douglass, R. J., & Martin, K. A. C. (1991). Opening the grey box. Trends in Neurosciences, 14(7), 286-293.
20. Eckhorn, R., Bauer, R., Jordan, W., Brosch, M., Kruse, W., Munk, M., & Reitboeck, H. J. (1988). Coherent oscillations: A mechanism of feature linking in the visual cortex? Biol. Cybern., 60, 121-130.
21. Feng, J., Brown, D., & Li, G. (2000). Synchronization due to common pulsed input in Stein's model. Phys. Rev. E, 61(3), 2987-2995.
22. Fujii, H., Ito, H., Aihara, K., Ichinose, N., & Tsukada, M. (1996). Dynamical cell assembly hypothesis - theoretical possibility of spatio-temporal coding in the cortex. Neural Networks, 9(8), 1303-1350.
23. Gerstner, W., Kempter, R., van Hemmen, J. L., & Wagner H. (1996). A neuronal learning rule for sub-millisecond temporal coding. Nature, 383, 76-78.
24. Gewaltig, M-O., Diesmann, M., & Aertsen, A. (2001). Propagation of cortical synfire activity: Survival probability in single trials and stability in the mean. Neural Networks, 14, 657-673.
25. Gray, C. M., König, P., Engel, A. K., & Singer, W. (1989). Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature, 338, 334-337.
26. Guardiola, X., Díaz-Guilera, A., Lias, M., & Pérez, C. J. (2000). Synchronization, diversity, and topology of integrate and fire oscillators, Phys. Rev. E, 62(4), 5565-5570.
27. Hatsopoulos, N. G., Ojakangas, C. L., Paninski, L., & Donoghue, J. P. (1998). Information about movement direction obtained from synchronous activity of motor cortical neurons. Proc. Natl. Acad. Sci. USA, 95, 15706-15711.
28. Knight, B. W. (1972). Dynamics of encoding in a population of neurons. Journal of General Physiology, 59, 734-766.
29. Koch, C. (1999). Biophysics of computation. New York: Oxford University Press.
30. Krüger, J., & Becker, D. (1991). Recognizing the visual stimulus from neuronal discharges. Trends in Neurosciences, 14(7), 282-286.
31. Lansky, P. (1984). On approximations of Stein's neuronal model. J. Theor. Bid., 107, 631-647.
32. Lu, T., Liang, L., & Wang, X. (2001). Temporal and rate representations of time-varying signals in the auditory cortex of awake primates. Nature Neuroscience, 4(11), 1131-1138.
33. MacLeod, K., Bäcker, A., & Laurent, G. (1998). Who reads temporal information contained across synchronized and oscillatory spike trains? Nature, 395, 693-698.
34. Mainen, Z. F., & Sejnowski, T. J. (1995). Reliability of spike timing in neocortical neurons. Science, 268, 1503-1506.
35. Mar, D. J., Chow, C. C., Gerstner, W., Adams, R. W., & Collins, J. J. (1999). Noise shaping in populations of coupled model neurons. Proc. Natl. Acad. Sci. USA, 96, 10450-10455.
36. Markram, H., Lübke, J., Frotscher, M., & Sakmann, B. (1997). Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs. Science, 275, 213-215.
37. Markram, H., & Tsodyks, M. (1996). Redistribution of synaptic efficacy between neocortical pyramidal neurons. Nature, 382, 807-810.
38. Masuda, N., & Aihara, K. (2001). Synchronization of pulse-coupled excitable neurons. Phys. Rev. E, 64, 051906.
39. Masuda, N., & Aihara, K. (2002a). Spatio-temporal spike encoding of a continuous external signal. Neural Computation, 14, 1599-1628.
40. Masuda, N., & Aihara, K. (2002b). Bridging rate coding and temporal spike coding by effect of noise. Phys. Rev. Lett., 88(24), 248101.
41. Riehle, A., Grün, S., Diesmann, M., & Aertsen, A. (1997). Spike synchronization and rate modulation differently involved in motor cortical function. Science, 278, 1950-1953.
42. Sauer, T. (1994). Reconstruction of dynamical systems from interspike intervals. Phys. Rev. Lett., 72(24), 3811-3814.
43. Shadlen, M. N., Britten, K. H., Newsome, W. T., & Movshon, J. A. (1996). A computational analysis of the relationship between neuronal and behavioral responses to visual motion. J. Neurosci., 16(4), 1486-1510.
44. Shadlen, M. N., & Newsome, W. T. (1998). The variable discharge of cortical neurons: Implications for connectivity, computation, and information coding. J. Neurosci., 18(10), 3870-3896.
45. Softky, W. R., & Koch, C. (1993). The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs. J. Neurosci., 13(1), 334-350.
46. Stein, R. B. (1967). The information capacity of nerve cells using a frequency code. Biophysical Journal, 7, 797-826.
47. Steinmetz, P. N., Roy, A., Fitzgerald, P. J., Hsiao, S. S., Johnson, K. O., & Niebur, E. (2000). Attention modulates synchronized neuronal firing in primate somatosensory cortex. Nature, 404, 187-190.
48. Thorpe, S., Fize, D., & Marlot, C. (1996). Speed of processing in the human visual system. Nature, 381, 520-522.
49. Tiesinga, P. H. E., & José, J. V. (2000). Robust gamma oscillations in networks of inhibitory hippocampal interneurons. Network, 11, 1-23.
50. Tiesinga, P. H. E., Fellous, J-M., José, J. V., & Sejnowski, T. J. (2002). Information transfer in entrained cortical neurons. Network, 13, 41-66.
51. Tokuda, I., & Aihara, K. (2000). Inter-event interval reconstruction of chaotic dynamics. In Proc. of the Fifth International Symposium on Artificial Life and Robotics (AROB 5th'00) (pp. 177-180). Oita, Japan: Shubundo Insatsu.
52. Tsodyks, M. V., & Markram, H. (1997). The neural code between neocortical pyramidal neurons depends on neurotransmitter release probability. Proc. Natl. Acad. Sci. USA, 94, 719-723.
53. Tuckwell, H. C. (1988). Introduction to theoretical neurobiology (Vols. 1, 2). Cambridge: Cambridge University Press.
54. Vaadia, E., Haalman, L., Abeles, M., Bergman, H., Prut, Y., Slovin, H., & Aertsen, A. (1995). Dynamics of neuronal interactions in monkey cortex in relation to behavioural events. Nature, 373, 515-518.
55. van Rossum, M. C. W., Turrigiano, G. G., & Nelson, S. B. (2002). Fast propagation of firing rates through layered networks of noisy neurons. J. Neurosci., 22(5), 1956-1966.
56. van Vreeswijk, C., & Sompolinsky, H. (1996). Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science, 274, 1724-1726.
57. von der Malsburg, Ch., & Schneider, W. (1986). A neural cocktail-party processor. Biol. Cybern., 54, 29-40.
58. White, J. A., Chow, C. C., Ritt, J., Soto-Treviño, C., & Kopell, N. (1998). Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J. Comput. Neurosci., 5, 5-16.
59. Zohary, E., Shadlen, M. N., & Newsome, W. T. (1994). Correlated neuronal discharge rate and its implications for psychophysical performance. Nature, 370, 140-143.