Topological signal processing

DOI10.1007/978-3-642-36104-3zbMath1294.94001OpenAlexW622146630MaRDI QIDQ357142

Michael Robinson

Publication date: 29 July 2013

Published in: Mathematical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-36104-3

zbMATH Keywords

sheaf cohomologyEuler integralpersistent cohomologysheaf morphismTopological filter

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Research exposition (monographs, survey articles) pertaining to information and communication theory (94-02) Sheaf cohomology in algebraic topology (55N30)

Related Items (15)

Cosheaf representations of relations and Dowker complexes ⋮ Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection ⋮ Bayesian topological signal processing ⋮ Connections between graphs and Sheaves ⋮ Signal Processing on Simplicial Complexes ⋮ Sheaf and Duality Methods for Analyzing Multi-Model Systems ⋮ Distributing persistent homology via spectral sequences ⋮ Contextuality in distributed systems ⋮ Topological Approaches to Deep Learning ⋮ Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis ⋮ Topological data analysis for true step detection in periodic piecewise constant signals ⋮ Utilizing Topological Data Analysis for Studying Signals of Time-Delay Systems ⋮ A Sheaf-Theoretic Perspective on Sampling ⋮ Political structures and the topology of simplicial complexes ⋮ A look into chaos detection through topological data analysis

Uses Software

• PySheaf

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