Sliding windows and persistence: an application of topological methods to signal analysis
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Publication:2355335
DOI10.1007/s10208-014-9206-zzbMath1325.37054arXiv1307.6188OpenAlexW2102368730WikidataQ59442814 ScholiaQ59442814MaRDI QIDQ2355335
Publication date: 22 July 2015
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.6188
Nonnumerical algorithms (68W05) General low-dimensional topology (57M99) Time series analysis of dynamical systems (37M10) Applied homological algebra and category theory in algebraic topology (55U99)
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Uses Software
Cites Work
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- The ring of algebraic functions on persistence bar codes
- Morse theory for filtrations and efficient computation of persistent homology
- Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces
- Persistent cohomology and circular coordinates
- Stability of persistence diagrams
- On the local behavior of spaces of natural images
- Lipschitz functions have \(L_{p}\)-stable persistence
- Computing persistent homology
- Nonlinear dynamics delay times, and embedding windows
- javaPlex: A Research Software Package for Persistent (Co)Homology
- Probability measures on the space of persistence diagrams
- Topology and data
- Nonlinear Time Series Analysis
- Proximity of persistence modules and their diagrams
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