Morse theoretic signal compression and reconstruction on chain complexes
From MaRDI portal
Publication:6669851
DOI10.1007/s41468-024-00191-8MaRDI QIDQ6669851
Kelly Maggs, Celia Hacker, Stefania Ebli
Publication date: 22 January 2025
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
discrete Morse theorycombinatorial Hodge theorytopological signal processingsignal compression and reconstruction
Persistent homology and applications, topological data analysis (55N31) Discrete Morse theory and related ideas in manifold topology (57Q70)
Cites Work
- Unnamed Item
- Discrete Morse theory for computing cellular sheaf cohomology
- Topological signal processing
- Morse theory for filtrations and efficient computation of persistent homology
- Homology computation by reduction of chain complexes
- Morse theory for cell complexes
- Toward a spectral theory of cellular sheaves
- The graph Laplacian and Morse inequalities
- Spectra of combinatorial Laplace operators on simplicial complexes
- Diffusion maps
- On the chain-complex of a fibration
- Harmonic functions and boundary value problems on a chain complex
- Discrete morse theory and the cohomology ring
- Finite elements in computational electromagnetism
- Finite-Difference Approach to the Hodge Theory of Harmonic Forms
- Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
- Persistent Laplacians: Properties, Algorithms and Implications
- Topological Signal Processing Over Simplicial Complexes
- Algebraic Morse theory and homological perturbation theory
- Computing Optimal Morse Matchings
- Morse theory from an algebraic viewpoint
This page was built for publication: Morse theoretic signal compression and reconstruction on chain complexes
