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  On the representation of multi-input systems: Computational properties of polynomial algorithms

Poggio, T., & Reichardt, W. (1980). On the representation of multi-input systems: Computational properties of polynomial algorithms. Biological Cybernetics, 37(3), 167-186. doi:10.1007/BF00355455.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-F100-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0006-6C89-7
Genre: Journal Article

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 Creators:
Poggio, T1, 2, Author              
Reichardt, W1, 2, Author              
Affiliations:
1Former Department Information Processing in Insects, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497801              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497794              

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 Abstract: This paper introduces a theoretical framework for characterizing and classifying simple parallel algorithms and systems with many inputs, for example an array of photoreceptors. The polynomial representation (Taylor series development) of a large class of operators is introduced and its range of validity discussed. The problems involved in the polynomial approximation of systems are also briefly reviewed. Symmetry properties of the input-output map and their implications for the system structure (i.e. its kernels) are studied. Finally, the computational properties of polynomial mappings are characterized.

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 Dates: 1980-07
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: DOI: 10.1007/BF00355455
BibTex Citekey: 1689
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Title: Biological Cybernetics
  Other : Biol. Cybern.
Source Genre: Journal
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Publ. Info: Berlin : Springer
Pages: - Volume / Issue: 37 (3) Sequence Number: - Start / End Page: 167 - 186 Identifier: ISSN: 0340-1200
CoNE: https://pure.mpg.de/cone/journals/resource/954927549307