The costs of ignoring high-order correlations in populations of model neurons

Neural Computation

Volumn 18, Issue 3, 2006, Pages 660-682

  Michel, Melchi M ^a   Jacobs, Robert A ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645732227     PISSN: 08997667     EISSN: 1530888X     Source Type: Journal    
DOI: 10.1162/neco.2006.18.3.660     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. Andrews, T. J., Glennerster, A., & Parker, A. J. (2001). Stereoacuity thresholds in the presence of a reference surface. Vision Research, 41, 3051-3061.
3. Anzai, A., Ohzawa, I., & Freeman, R. D. (1997). Neural mechanisms underlying binocular fusion and stereopsis: Position vs. phase. Proceedings of the National Academy of Sciences, 94, 5438-5443.
4. Averbeck, B. B., & Lee, D. (2003). Neural noise and movement-related codes in the macaque supplementary motor area. Journal of Neuroscience, 23, 7630-7641.
5. Averbeck, B. B., & Lee, D. (2004). Coding and transmission of information by neural ensembles. Trends in Neurosciences, 27, 225-230.
6. Brenner, N., Strong, S. P., Koberle, R., Bialek, W., & de Ruyter van Steveninck, R. R. (2000). Synergy in a neural code. Neural Computation, 12, 1531-1552.
7. Burton, G. J., & Moorhead, I. R. (1987). Color and spatial structure in natural scenes. Applied Optics, 26, 157-170.
8. Chow, C. K., & Liu, C. N. (1968). Approximating discrete probability distributions with dependence trees. IEEE Transactions on Information Theory, 14, 462-467.
9. Cumming, B. G., & Parker, A. J. (1997). Responses of primary visual cortical neurons to binocular disparity without depth perception. Nature, 389, 280-283.
10. DeAngelis, C. C., Ohzawa, I., & Freeman, R. D. (1991). Depth is encoded in the visual cortex by a specialized receptive field structure. Nature, 352, 156-159.
11. Field, D. J. (1987). Relations between the statistics of natural images and the response properties of cortical cells. Journal of the Optical Society of America A, 4, 2379-2394.
12. Field, D. J. (1994). What is the goal of sensory coding? Neural Computation, 6, 559-601.
13. Fleet, D. J., Wagner, H., & Heeger, D. J. (1996). Neural encoding of binocular disparity: Energy models, position shifts, and phase shifts. Vision Research, 36, 1839-1857.
14. Freeman, R. D., & Ohzawa, I. (1990). On the neurophysiological organization of binocular vision. Vision Research, 30, 1661-1676.
15. Golledge H. D. R., Panzeri, S., Zheng, F., Pola, G., Scannell, J. W., Giannikopoulos, D. V., Mason, R. J., Tovée, M. J., & Young, M. P. (2003). Correlations, feature-binding and population coding in primary visual cortex. NeuroReport, 14, 1045-1050.
16. Lippert, J., & Wagner, H. (2002). Visual depth encoding in populations of neurons with localized receptive fields. Biological Cybernetics, 87, 249-261.
17. Meilǎ, M., & Jordan, M. I. (2000). Learning with mixtures of trees. Journal of Machine Learning Research, 1, 1-48.
18. Neapolitan, R. E. (2004). Learning Bayesian networks. Upper Saddle River, NJ: Prentice Hall.
19. Nirenberg, S., Carcieri, S. M., Jacobs, A. L., & Latham, P. E. (2001). Retinal ganglion cells act largely as independent encoders. Nature, 411, 698-701.
20. Nirenberg, S., & Latham, P. E. (2003). Decoding neuronal spike trains: How important are correlations? Proceedings of the National Academy of Sciences USA, 100, 7348-7353.
21. Ohzawa I., DeAngelis, G. C., & Freeman, R. D. (1990). Stereoscopic depth discrimination in the visual cortex: Neurons ideally suited as disparity detectors. Science, 249, 1037-1041.
22. Ohzawa I., DeAngelis, G. C., & Freeman, R. D. (1997). Encoding of binocular disparity by complex cells in the cat's visual cortex, Journal of Neurophysiology, 77, 2879-2909.
23. Oram M. W., Földiàk, P., Perrett, D. I., & Sengpiel, F. (1998). The "ideal homunculus": Decoding neural population signals. Trends in Neuroscience, 29, 259-265.
24. Panzeri, S., Golledge, H. D. R., Zheng, F., Pola, G., Blanche, T. J., Tovee, M. J., & Young, M. P. (2002). The role of correlated firing and synchrony in coding information about single and separate objects in cat V1. Neurocomputing, 44-46, 579-584.
25. Panzeri, S., Schultz, S. R., Treves, A., & Rolls, E. T. (1999). Correlations and the encoding of information in the nervous system. Proceedings of the Royal Society of London Series B, 266, 1001-1012.
26. Perez, R., Castro, A. F., Justo, M. S., Bermudez, M. A., & Gonzalez, F. (2005). Retinal correspondence of monocular receptive fields in disparity-sensitive complex cells from area V1 in the awake monkey. Investigative Ophthalmology and Visual Science, 46, 1533-1539.
27. Perkel, D. H., & Bullock, T. H. (1969). Neural coding. In F. O. Schmitt, T. Melnechuk, G. C. Quarton, & G. Adelman (Eds.), Neurosciences research symposium summaries (pp. 405-527). Cambridge, MA: MIT Press.
28. Pouget, A., Dayan, P., & Zemel, R. S. (2003). Computation and inference with population codes. Annual Review of Neuroscience, 26, 381-410.
29. Prince, S. J. D., Pointon, A. D., Cumming, B. G., & Parker, A. J. (2002). Quantitative analysis of the responses of VI neurons to horizontal disparity in dynamic random-dot stereograms. Journal of Neurophysiology, 87, 191-208.
30. Qian, N. (1994). Computing stereo disparity and motion with known binocular cell properties. Neural Computation, 6, 390-404.
31. Qian, N., & Zhu, Y. (1997). Physiological computation of binocular disparity. Vision Research, 37, 1811-1827.
32. Read, J. C. A., & Cumming, B. G. (2003). Testing quantitative models of binoculary disparity selectivity in primary visual cortex, Journal of Neurophysiology, 90, 2795-2817.
33. Rolls, E. T., Franco, L., Aggelopoulos, N. C., & Reece, S. (2003). An information theoretic approach to the contributions of the firing rates and the correlations between the firing of neurons. Journal of Neurophysiology, 89, 2810-2822.
34. Seriès, P., Latham, P. E., & Pouget, A. (2004). Tuning curve sharpening for orientation selectivity: Coding efficiency and the impact of correlations. Nature Neuroscience, 10, 1129-1135.
35. Schneidman, E., Bialek, W., & Berry, M. J. (2003). Synergy, redundancy, and independence in population codes. Journal of Neuroscience, 23, 11539-11553.
36. Tolhurst D. J., Tadmor, Y., & Tang, C. (1992). The amplitude spectra of natural images. Ophthalmic and Physiological Optics, 12, 229-232.
37. Tsai, J. J., & Victor, J. D. (2003). Reading a population code: A multi-scale neural model for representing binocular disparity. Vision Research, 43, 445-466.