Transparallel processing by hyperstrings
- Nijmegen Institute for Cognition and Information, University of Nijmegen, Montessorilaan 3, 6525 HR, Nijmegen, The Netherlands
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Communicated by Julian Hochberg, Columbia University, New York, NY, May 20, 2004 (received for review October 9, 2003)
Abstract
Human vision research aims at understanding the brain processes that enable us to see the world as a structured whole consisting of separate objects. To explain how humans organize a visual pattern, structural information theory starts from the idea that our visual system prefers the organization with the simplest descriptive code, that is, the code that captures a maximum of visual regularity. Empirically, structural information theory gained support from psychological data on a wide variety of perceptual phenomena, but theoretically, the computation of guaranteed simplest codes remained a troubling problem. Here, the graph-theoretical concept of “hyperstrings” is presented as a key to the solution of this problem. A hyperstring is a distributed data structure that allows a search for regularity in O(2N) strings as if only one string of length N were concerned. Thereby, hyperstrings enable transparallel processing, a previously uncharacterized form of processing that might also be a form of cognitive processing.
Footnotes
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↵ † E-mail: peterh{at}nici.kun.nl.
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Abbreviations: SIT, structural information theory; AIT, algorithmic information theory; MDL, minimal description length; I, iteration; S, symmetry; A, alternation; SPM, shortest-path method.
- Copyright © 2004, The National Academy of Sciences





