no code implementations • 3 Jun 2023 • W. Steven Gray, Kurusch Ebrahimi-Fard, Alexander Schmeding
The goal of this paper is to establish some facts concerning the problem of zeroing the output of an input-output system that does not have relative degree.
no code implementations • 18 Apr 2021 • W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard
Given an additive network of input-output systems where each node of the network is modeled by a locally convergent Chen-Fliess series, two basic properties of the network are established.
no code implementations • 8 Dec 2020 • Joscha Diehl, Kurusch Ebrahimi-Fard, Nikolas Tapia
We explore the algebraic properties of a generalized version of the iterated-sums signature, inspired by previous work of F.~Kir\'aly and H.~Oberhauser.
1 code implementation • 17 Sep 2020 • Joscha Diehl, Kurusch Ebrahimi-Fard, Nikolas Tapia
Aiming for a systematic feature-extraction from time series, we introduce the iterated-sums signature over arbitrary commutative semirings.
1 code implementation • 13 Jun 2019 • Joscha Diehl, Kurusch Ebrahimi-Fard, Nikolas Tapia
We show that these correspond to a certain family of iterated sums of the increments of the time series, known as quasisymmetric functions in the mathematics literature.