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Infomax is an optimization principle for artificial neural networks and other information processing systems. It prescribes that a function that maps a set of input values I to a set of output values O should be chosen or learned so as to maximize the average Shannon mutual information between I and O, subject to a set of specified constraints and/or noise processes. Infomax algorithms are learning algorithms that perform this optimization process. The principle was described by Linsker in 1988.[1]

Infomax, in its zero-noise limit, is related to the principle of redundancy reduction proposed for biological sensory processing by Horace Barlow in 1961,[2] and applied quantitatively to retinal processing by Atick and Redlich.[3]

One of the applications of infomax has been to an independent component analysis algorithm that finds independent signals by maximizing entropy. Infomax-based ICA was described by Bell and Sejnowski, and Nadal and Parga in 1995.[4] [5]

See also[edit]


  1. ^ Linsker R (1988). "Self-organization in a perceptual network" (PDF). IEEE Computer. 21 (3): 105–17. doi:10.1109/2.36.
  2. ^ Barlow, H. (1961). "Possible principles underlying the transformations of sensory messages". In Rosenblith, W. Sensory Communication. Cambridge MA: MIT Press. pp. 217–234.
  3. ^ Atick JJ, Redlich AN (1992). "What does the retina know about natural scenes?". Neural Computation. 4 (2): 196–210. doi:10.1162/neco.1992.4.2.196.
  4. ^ Bell AJ, Sejnowski TJ (November 1995). "An information-maximization approach to blind separation and blind deconvolution". Neural Comput. 7 (6): 1129–59. doi:10.1162/neco.1995.7.6.1129. PMID 7584893.
  5. ^ Nadal J.P., Parga N. (1999). "Sensory coding: information maximization and redundancy reduction". Neural information processing, G. Burdet, P. Combe and O. Parodi Eds., World Scientific Series in Mathematical Biology and Medecine. 7: 164–171.