(Quasi)Periodicity Quantification in Video Data, Using Topology
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Publication:4689754
DOI10.1137/17M1150736zbMath1401.65025arXiv1704.08382WikidataQ129874176 ScholiaQ129874176MaRDI QIDQ4689754
Christopher J. Tralie, Jose A. Perea
Publication date: 17 October 2018
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.08382
periodicityrecurrencetopologyquasiperiodicitypersistent homologynonlinear time series analysisvocal foldsvideo analysisbiphonation
Related Items (7)
ANAPT: additive noise analysis for persistence thresholding ⋮ Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams ⋮ Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis ⋮ Topological data analysis for true step detection in periodic piecewise constant signals ⋮ Twisty Takens: a geometric characterization of good observations on dense trajectories ⋮ Classifying sleep states using persistent homology and Markov chains: a pilot study ⋮ Phenotyping OSA: a time series analysis using fuzzy clustering and persistent homology
Uses Software
Cites Work
- Statistical ranking and combinatorial Hodge theory
- Computing persistent homology
- Cohomological learning of periodic motion
- Sliding windows and persistence: an application of topological methods to signal analysis
- Diffusion maps
- High-Dimensional Geometry of Sliding Window Embeddings of Periodic Videos
- Removing Camera Shake via Weighted Fourier Burst Accumulation
- Nonlinear Time Series Analysis
- Solving Inverse Problems With Piecewise Linear Estimators: From Gaussian Mixture Models to Structured Sparsity
- A NEW MEASURE OF RANK CORRELATION
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