Time warping invariants and quasisymmetric functions
- Joscha Diehl (Universität Greifswald)
The analysis of time series is a standard task in data science. Usually, as a first step, features of a time series must be extracted that characterize the series, maybe modulo irrelevant (depending on the application) group actions on the original data. In this talk I will discuss the action of time-warping: the features should be invariant to the speed at which the time-series is run through. This leads, as we show, to quasisymmetric functions, and I discuss their Hopf algebraic setup.
Based on joint work with Kurusch Ebrahimi-Fard and Nikolas Tapia.