Work

Topological signatures of periodic-like signals

Year: 2025

Type: article

Abstract: We present a method to construct signatures of periodic-like data. Based on topological considerations, our construction encodes information about the order and values of local extrema. Its main strength is robustness to reparametrization of the observed signal, so that it depends only on the form of the periodic function. The signature converges as the observation contains increasingly many periods. We show that it can be estimated from the observation of a single time series using bootstrap techniques.

Source: Bernoulli

DOI: 10.3150/24-bej1793

Authors: Frédéric Chazal, Bertrand Michel, Wojciech Reise