Abstract
The response of many neurons in the nervous system is a nonlinear function of membrane potential. Nevertheless, if the membrane potentials are normally distributed then their covariance satisfies a linear equation. This suggests that information in the nervous system may be processed by correlations between membrane potentials, a hypothesis which is subject to direct experimental test. The acquisition, storage, and retrieval of information in the form of correlations is consistent with present knowledge of human information processing.
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References
Anderson, J. A.: What is a distinctive feature? Technical report number 74-1 from the Center for Neural Studies, Brown University (1974)
Borsellino, A., Poggio, T.: Holographic aspects of temporal memory and optomotor response. Kybernetik 10, 58–60 (1972)
Bussgang, J. J.: Crosscorrelation functions of amplitude distorted Gaussian signals. Res. Lab. Elec. MIT Tech. Rep. 216 1–14 (1952)
Ditchburn, R. W.: Eye-movements and visual perception. Oxford: Oxford University Press 1973
Elul, E.: Brain waves: Intracellular recording and statistical analysis help clarify their physiological significance. In: Enslein, K. (Ed.) Data acquisition and processing in biology and medicine. Pp. 93–115. Oxford: Pergamon 1968
Fujita, Y., Sato, T.: Intracellular records from hippocampal pyramidal cells in rabbit during theta rhythm activity. J. Neurophysiol. 27, 1012–1025 (1964)
Gabor, D.: Holographic model of temporal recall. Nature 217, 584 (1968)
Greene, P. H.: On looking for neural networks and “cellular assemblies” that underlie behavior: I. Mathematical model. Bull. Math. Biophys. 24, 247–275 (1962).
John, E. R.: Switchboard versus statistical theories of learning and memory. Science 177, 850–864 (1972)
Julesz, B.: Foundations of cyclopean vision. Chicago: University of Chicago Press 1971
Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966
Kiang, N.Y.-S., Watanabe, T., Thomas, E. C., Clark, L. F.: Discharge patterns of single fibers in the cat's auditory nerve. Cambridge: MIT Press 1965
Licklider, J. C. R.: Three auditory theories. In: Koch. S. (Ed.): Psychology, a study of science, Vol. I. Pp. 41–144. New York: McGraw Hill Book Co. 1959
Longuet-Higgins, H. C.: Holographic model of temporal recall. Nature 217, 104 (1968)
Lorente de Nó, R.: Analysis of the activity of chains of internuncial neurons. J. Neurophysiol. 1, 207–244 (1938)
Mountcastle, V. B.: The problem of sensing and neural coding. In: Quarton G. C., Melnechuk, T., Schmitt, F. O. (Eds.): The neurosciences: A study program. Pp. 393–407. New York: Rockefeller University Press 1967
Norman, D. A.: Memory and attention: An introduction to human information processing. New York: Wiley 1969
Ogawa, T., Bishop, P. O., Levick W. R.: Temporal characteristics of response to photic stimulation by single ganglion cells in the unopened eye of the cat. J. Neurophysiol. 29, 1–30 (1966)
Perkel, D. H., Bullock, T. H.: Neural coding. Neurosci. Res. Progr. Bull. 6, 221–348 (1968)
Pfaffelhuber, E.: Correlation memory models — A first approximation in a general learning scheme. Biol. Cybernetics 18, 217–223 (1975)
Reichardt, W.: Autocorrelation, a principle for the evaluation of sensory information by the central nervous system. In: Rosenblith, W. (Ed.): Sensory communication. Pp. 303–317. Boston: MIT Press 1962
Roederer, J. G.: Auditory processing in the nervous system. In: Conrad, M., Guttinger, W., Dal Cin M. (Eds.): Physics and mathematics of the nervous system. Lecture notes in biomathematics, Vol. 4. Pp. 211–227. Berlin-Heidelberg-New York: Springer 1974
Sejnowski, T. J.: On global properties of neuronal interaction. Biol. Cybernetics 22, 85–95 (1976)
Shepherd, G. M.: The synaptic organization of the brain. Oxford: Oxford University Press 1974
Wiener, N.: Extrapolation, interpolation, and smoothing of stationary time series. Cambridge: MIT Press 1949
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Sejnowski, T.J. On the stochastic dynamics of neuronal interaction. Biol. Cybernetics 22, 203–211 (1976). https://doi.org/10.1007/BF00365086
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DOI: https://doi.org/10.1007/BF00365086