Polynomial Models of Discrete Time Series over Finite Fields
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.
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.