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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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Poggio, T, Author
Reichardt, W1, Author           
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1Former Department Information Processing in Insects, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497801              

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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: Issued
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Title: Biological Cybernetics
Source Genre: Journal
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Pages: - Volume / Issue: 37 (3) Sequence Number: - Start / End Page: 167 - 186 Identifier: -