
Accession Number : AD0731304
Title : Pattern Recognition Properties of Multilinear Machines,
Corporate Author : STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH
Personal Author(s) : Kalman,R. E.
Report Date : SEP 1968
Pagination or Media Count : 41
Abstract : It is well known that patternrecognition linear machine properties of a (finitedimensional linear dynamical system) may be identified with the input/state map (polynomials) map to (polynomials mod characteristic polynomial). In a similar way, the patternrecognition action of a multilinear machine is describable by projections into certain complicated equivalence classes constructed on the input space. The results reported here, obtained very recently, give a firm mathematical foundation to earlier attempts by Norbert Wiener and many others to analyze nonlinear system problems using generalized Volterra kernels and Hermite expansions. (Author)
Descriptors : (*ALGEBRA, SYSTEMS ENGINEERING), (*PATTERN RECOGNITION, MATHEMATICAL ANALYSIS), SET THEORY, LINEAR SYSTEMS, POLYNOMIALS, SEQUENCES, TRANSFER FUNCTIONS, VECTOR SPACES
Subject Categories : Theoretical Mathematics
Bionics
Distribution Statement : APPROVED FOR PUBLIC RELEASE