Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis

2014/05/28 by Jose A. Perea, José A. Perea, John Harer · 230 citations
Computer Science · Mathematics · Medicine · Neuroscience · #Advanced Neuroimaging Techniques and Applications #Algorithm #Applied mathematics #Artificial intelligence #Combinatorics #Computer science #Embedding #Mathematics #Neuroinflammation and Neurodegeneration Mechanisms #Persistence (discontinuity) #Persistent homology #Point cloud #Series (stratigraphy) #Sliding window protocol #Theoretical computer science #Topological and Geometric Data Analysis #Topological data analysis #Topology (electrical circuits) #Window (computing)

paper · doi:10.1007/s10208-014-9206-z

published in Foundations of Computational Mathematics 15(3), 799-838 (Springer Science and Business Media LLC)

openalex publication_date 2014/05/28 · crossref created 2014/05/28 · crossref issued 2014/05/29 · crossref published 2014/05/29 · crossref published-online 2014/05/29 · crossref published-print 2015/06/01 · crossref deposited 2019/08/11 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/30

Citations

• Least-squares frequency analysis of unequally spaced data
• Studies in astronomical time series analysis. II - Statistical aspects of spectral analysis of unevenly spaced data
• Morse Theory for Filtrations and Efficient Computation of Persistent Homology
• Stability of Persistence Diagrams
• Probability measures on the space of persistence diagrams
• On the Local Behavior of Spaces of Natural Images
• Nonlinear dynamics, delay times, and embedding windows
• Computing Persistent Homology
• Persistent Cohomology and Circular Coordinates

Cited by

• Topological pattern recognition for point cloud data
• Topological data analysis [wikipedia]