Topological signatures of periodic-like signals - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2023

Topological signatures of periodic-like signals

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 reparametrisation 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.
Fichier principal
Vignette du fichier
2306.13453.pdf (976.94 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04140929 , version 1 (26-06-2023)

Identifiers

Cite

Wojciech Reise, Bertrand Michel, Frédéric Chazal. Topological signatures of periodic-like signals. 2023. ⟨hal-04140929⟩
30 View
52 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More