# Generalized iterated-sums signatures

arXiv: https://arxiv.org/abs/2012.04597 · HTML: https://mlsanity.com/paper/2012.04597/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 Dec 2020.

## Built on by (most cited first, 3 of 3)

- [Random Fourier Signature Features](https://mlsanity.com/paper/2311.12214/) (2023)
- [The Signature Kernel](https://mlsanity.com/paper/2305.04625/) (2023)
- [The Volterra signature](https://mlsanity.com/paper/2603.04525/) (2026)

## Abstract (arXiv)

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. In particular, we show how to recover the character property of the associated linear map over the tensor algebra by considering a deformed quasi-shuffle product of words on the latter. We introduce three non-linear transformations on iterated-sums signatures, close in spirit to Machine Learning applications, and show some of their properties.