  A subalgebraic approximation algorithm is proposed to estimate from a set of
time series the parameters of the observer representation of a discrete-time
polynomial system without inputs which can generate an approximation of the
observed time series. A major step of the algorithm is to construct a set of
generators for the polynomial function from the past outputs to the future
outputs. For this singular value decompositions and polynomial factorizations
are used. An example is provided.
