21 citations · 96 across the 15 of their papers we have counts for
4 papers · 1 filter
The moving frame method for iterated-integrals: orthogonal invariants
Joscha Diehl, Rosa Preiß, Michael Ruddy +1
Geometric features, robust to noise, of curves in Euclidean space are of great interest for various applications such as machine learning and image analysis. We apply the Fels-Olve…
Generalized iterated-sums signatures
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.~Király and H.~Oberhauser. In particular, we show how to…
Tropical time series, iterated-sums signatures and quasisymmetric functions
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. The case of the tropical semiring is a c…
Wick polynomials in non-commutative probability
K. Ebrahimi-Fard, F. Patras, N. Tapia +1
Wick polynomials and Wick products are studied in the context of non-commutative probability theory. It is shown that free, boolean and conditionally free Wick polynomials can be d…