Search Results for author: Kurusch Ebrahimi-Fard

Found 5 papers, 2 papers with code

Zeroing the Output of a Nonlinear System Without Relative Degree

no code implementations3 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.

Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree

no code implementations18 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.

Generalized iterated-sums signatures

no code implementations8 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.

BIG-bench Machine Learning

Tropical time series, iterated-sums signatures and quasisymmetric functions

1 code implementation17 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.

Time Series Time Series Analysis

Time-warping invariants of multidimensional time series

1 code implementation13 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.

Time Series Time Series Analysis

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