Topological Time Series Analysis
Not on the map. Why?
Abstract (arXiv)
Time series are ubiquitous in our data rich world. In what follows I will describe how ideas from dynamical systems and topological data analysis can be combined to gain insights from time-varying data. We will see several applications to the live sciences and engineering, as well as some of the theoretical underpinnings.
Key facts. Cited by 10 papers in the map (data through 14 Oct 2026). First posted on arXiv 28 Nov 2018.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2021: 2; 2022: 2; 2023: 2; 2024: 2; 2025: 1; 2026: 1.
10 papers.
- 2021Time Series Classification via Topological Data Analysiscited by 2
- 2025Topology-driven identification of repetitions in multi-variate time seriescited by 2
- 2021Homological Time Series Analysis of Sensor Signals from Power Plantscited by 1
- 2022Topological Signal Processing using the Weighted Ordinal Partition Networkcited by 1
- 2023Topological Data Analysis in smart manufacturing: State of the art and futuredirectionscited by 1
- 2024Filtration learning in exact multi-parameter persistent homology and classification of time-series datacited by 1
- 2022Detection of Small Holes by the Scale-Invariant Robust Density-Aware Distance (RDAD) Filtrationcited by 0
- 2023Topology-enhanced machine learning for speech signal processingcited by 0
- 2024A Vectorization Method Induced By Maximal Margin Classification For Persistent Diagramscited by 0
- 2026Topological Detection of Hopf Bifurcations via Persistent Homology: A Functional Criterion from Time Seriescited by 0
- 2026Topological Detection of Hopf Bifurcations via Persistent Homology: A Functional Criterion from Time Series28 Mar 2026
- 2025Topology-driven identification of repetitions in multi-variate time series15 May 2025
- 2024A Vectorization Method Induced By Maximal Margin Classification For Persistent Diagrams31 Jul 2024
- 2024Filtration learning in exact multi-parameter persistent homology and classification of time-series data28 Jun 2024
- 2023Topology-enhanced machine learning for speech signal processing26 Nov 2023
- 2023Topological Data Analysis in smart manufacturing: State of the art and futuredirections13 Oct 2023
- 2022Topological Signal Processing using the Weighted Ordinal Partition Network27 Apr 2022
- 2022Detection of Small Holes by the Scale-Invariant Robust Density-Aware Distance (RDAD) Filtration16 Apr 2022
- 2021Homological Time Series Analysis of Sensor Signals from Power Plants3 Jun 2021
- 2021Time Series Classification via Topological Data Analysis3 Feb 2021