Abstract: We consider the problem of computing a linear recurrence relation (or equivalently a Linear Feedback Shift Register) of minimum order for a finite sequence over a field, with the additional ...

A researcher from Johannes Kepler University has introduced GateLoop, a novel sequence model that leverages the potential of linear recurrence for efficient long-sequence modeling. It generalized ...

Abstract: It has been shown in the literature that a formulation of the minimal partial realization problem in terms of exact modeling of a behavior lends itself to an iterative polynomial solution.

Laxton introduced a group structure on the set of equivalence classes of linear recurrence sequences of degree 2. This result yields much information on the divisibilities of such sequences. In this ...

This is a preview. Log in through your library . Abstract In this article we study a small random perturbation of a linear recurrence equation. If all the roots of its corresponding characteristic ...