Abstract
Biological sensory processing systems are exquisitely complex and varied. Nonetheless, optimization principles and methods rooted in information theory can be used to understand and to make predictions concerning certain aspects of sensory processing. A brief overview of some work in this field is presented. A particular principle, that of ‘maximum information preservation,’ states that a sensory system should preserve as much information as possible at each processing stage, in the presence of noise and subject to various constraints. This optimization principle is applied to a couple of model systems to illustrate how the principle generates ordered maps and processing units (filters) whose properties are similar to those found in biological systems, as well as being useful for constructing artificial learning networks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Atick, J. J.: 1992, Network: Comput. in Neural Sys. 3, 213
Atick, J. J., Li, Z., and Redlich, A. N.: 1990, Inst. for Adv. Study Report, IASSNS-HEP-90/75
Atick, J. J. and Redlich, A. N.: 1990a, Neural Comput. 2, 308
Atick, J. J. and Redlich, A. N.: 1990b, Inst. for Adv. Study Report, IASSNS-HEP-90/51
Atick, J. J. and Redlich, A. N.: 1991, Internat. J. Neural Systems 1, 305
Atick, J. J. and Redlich, A. N.: 1992, Neural Comput. 4, 196
Barlow, H. B.: 1961, in Rosenblith, W. A., ed(s)., Sensory Communication, MIT Press & Wiley, p. 217
Barlow, H. B.: 1989, Neural Comput. 1, 295
Becker, S. and Hinton, G. E.: 1992, Nature 355, 161
Bialek, W., Rieke, F., de Ruyter van Steveninck, R. R., and Warland, D.: 1991a, Science 252, 1854
Bialek, W., Ruderman, D. L., and Zee, A.: 1991b, in Lippmann, R., Moody, J., and Touretzky, D., ed(s)., Adv. Neural Info. Proc. Sys 3, Morgan Kaufmann: San Mateo CA, p. 363
Bienenstock, E. L., Cooper, L. N., and Munro, P. W.: 1982, J. Neurosci. 2, 32
Buchsbaum, G. and Gottschalk, A.: 1983, Proc. Roy. Soc. Lond. B 220, 89
Daugman, J.: 1990, in Schwartz, E. L., ed(s)., Computational Neuroscience, MIT Press: Cambridge MA, p. 403
Durbin, R. and Mitchison, G.: 1990, Nature 343, 644
Földiák, P.: 1989, in Proc. IEEE/INNS Internat. Joint Conf. on Neural Networks, IEEE Press: New York, vol. 1, p. 401
Grossberg, S.: 1976, Biol. Cybern. 21, 145
Hinton, G. E. and Sejnowski, T. J.: 1983, in Proc. IEEE Conf. Computer Vision and Pattern Recognition, IEEE Press: Piscataway NJ, p. 448
Field, D. J.: 1989, in Human Vision, Visual Processing, and Digital Display (Proc. SPIE 1077), p. 269
Kohonen, T.: 1988, Self-Organization and Associative Memory, Springer: Berlin
Linsker, R.: 1986a, Proc. Natl. Acad. Sci. USA 83, 7508
Linsker, R.: 1986b, Proc. Natl. Acad. Sci. USA 83, 8390
Linsker, R.: 1986c, Proc. Natl. Acad. Sci. USA 83, 8779
Linsker, R.: 1988a, Computer 21(3), 105
Linsker, R.: 1988b, in Anderson, D. Z., ed(s)., Neural Info. Proc. Sys., Amer. Inst. Physics: New York, p. 485
Linsker, R.: 1989a, in Touretzky, D., ed(s)., Adv. Neural Info. Proc. Sys. 1, Morgan Kaufmann: San Mateo CA, p. 186
Linsker, R.: 1989b, Neural Comput. 1, 402
Linsker, R.: 1990, Annu. Rev. Neurosci. 13, 257
Linsker, R.: 1992, Neural Comput. 4, 691
Linsker, R.: 1993, in Hanson, S. J., Cowan, J., and Giles, C. L., ed(s)., Adv. Neural Info. Proc. Sys. 5, Morgan Kaufmann: San Mateo CA, p. 953
Luttrell, S.: 1989, in Proc. IEEE/INNS Internat. Joint Conf. on Neural Networks, IEEE Press: New York, vol. 2, p. 495
Miller, K. D., Keller, J. B., and Stryker, M. P.: 1989, Science 245, 605
Obermayer, K., Ritter, H., and Schulten, K.: 1990, P.N.A.S. USA 87, 8345
Pearlmutter, B. A. and Hinton, G. E.: 1986, in Denker, J. S., ed(s)., Neural Networks for Computing (AIP Conf. Proc. 151), Amer. Inst. Physics: New York, p. 333
Schwartz, E. L.: 1977, Biol. Cybern. 25, 181
Shannon, C. E. and Weaver, W.: 1949, The Mathematical Theory of Communication, Univ. Illinois Press: Urbana
Srinivasan, M. V., Laughlin, S. B., and Dubs, A.: 1982, Proc. Roy. Soc. Lond. B 216, 427
Theunissen, F. and Miller, J.: 1991, J. Neurophysiol. 66, 1690
Van Essen, D. C., Anderson, C. H., and Felleman, D. J.: 1992, Science 255, 419
von der Malsburg, C: 1973, Kybernetik 14, 85
Wiesel, T. N. and Hubel, D. H.: 1974, J. Comp. Neurol. 158, 307
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Linsker, R. (1994). Sensory Processing and Information Theory. In: Grassberger, P., Nadal, JP. (eds) From Statistical Physics to Statistical Inference and Back. NATO ASI Series, vol 428. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1068-6_15
Download citation
DOI: https://doi.org/10.1007/978-94-011-1068-6_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4465-3
Online ISBN: 978-94-011-1068-6
eBook Packages: Springer Book Archive