Polynomial Models of Discrete Time Series over Finite Fields
Document Type
Conference Proceeding
Publication Date
12-1-2003
Journal / Book Title
Proceedings of Dynamic Systems and Applications - 4th International Conference on Dynamic Systems and Applications
Abstract
A discrete time series over a field F, With π state sets and m time steps, can be described by a function f = (f1,...,fn): Fn →Fn, When F Is a finite field, it is well known that each coordinate function fi is a polynomial in π variables over F. Thus a discrete time series over F can be modeled by a set of polynomials over F. This paper studies the commutative algebra methods to construct a desired polynomial model. Applications of Gröbner Bases techniques in the modeling process were discussed.
Journal ISSN / Book ISBN
ISBN 1890888001
MSU Digital Commons Citation
Li, Aihua, "Polynomial Models of Discrete Time Series over Finite Fields" (2003). Department of Mathematics Facuty Scholarship and Creative Works. 140.
https://digitalcommons.montclair.edu/mathsci-facpubs/140
Published Citation
Li, A. (2003). Polynomial models of discrete time series over finite fields. In G. S. Ladde, N. G. Medhin, & M. Sambandham (Eds.), Proceedings of Dynamic Systems and Applications - 4th International Conference on Dynamic Systems and Applications (pp. 68-73). (Proceedings of Dynamic Systems and Applications).