• Generalized iterated-sums signatures 

      Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas (Journal article; Peer reviewed, 2023)
      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 recover the character property of the ...
    • Shuffle Algebras and Non-Commutative Probabilifor Pairs of Faces 

      Diehl, Joscha; Gerhold, Malte; Gilliers, Nicolas (Peer reviewed; Journal article, 2023)
      One can build an operatorial model for freeness by considering either the right-handed or the left-handed representation of algebras of operators acting on the free product of the underlying pointed Hilbert spaces. Considering ...
    • Tropical time series, iterated-sums signatures and quasisymmetric functions 

      Ebrahimi-Fard, Kurusch; Tapia, Nikolas; Diehl, Joscha (Journal article; Peer reviewed, 2022)