Accession Number:

AD0731304

Title:

Pattern Recognition Properties of Multilinear Machines,

Descriptive Note:

Corporate Author:

STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH

Personal Author(s):

Report Date:

1968-09-01

Pagination or Media Count:

41.0

Abstract:

It is well known that pattern-recognition linear machine properties of a finite-dimensional linear dynamical system may be identified with the inputstate map polynomials map to polynomials mod characteristic polynomial. In a similar way, the pattern-recognition 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

Subject Categories:

  • Theoretical Mathematics
  • Bionics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE