On the respresentation of multi-input systems: computational properties of polynomial algorithms.

Abstract:

:This paper introduces a theoretical frame-work 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.

journal_name

Biol Cybern

journal_title

Biological cybernetics

authors

Poggio T,Reichardt W

doi

10.1007/BF00355455

subject

Has Abstract

pub_date

1980-01-01 00:00:00

pages

167-86

issue

3

eissn

0340-1200

issn

1432-0770

journal_volume

37

pub_type

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