An entropy-based persistence barcode

DOI10.1016/j.patcog.2014.06.023zbMath1373.68316OpenAlexW2086392476WikidataQ57438762 ScholiaQ57438762MaRDI QIDQ1677071

Thanos Gentimis, Harish Chintakunta, Maria-Jose Jimenez, Hamid Krim, Rocío González-Díaz

Publication date: 10 November 2017

Published in: Pattern Recognition (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle/11441/30937

zbMATH Keywords

entropyfiltrationsimplicial complexesfilterHasse diagrampersistent homologypersistence barcodes

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Other homology theories in algebraic topology (55N35) Combinatorial aspects of simplicial complexes (05E45)

Related Items (6)

Emotion recognition in talking-face videos using persistent entropy and neural networks ⋮ Preface of special issue on ``Graph-based processing for pattern recognition ⋮ Persistence Flamelets: Topological Invariants for Scale Spaces ⋮ Stochastic distance transform: theory, algorithms and applications ⋮ Multiscale persistent functions for biomolecular structure characterization ⋮ On topological analysis of cells organization in biological images

Cites Work

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• Morse theory for filtrations and efficient computation of persistent homology
• An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere
• Stability of persistence diagrams
• Morse theory for cell complexes
• Optimal discrete Morse functions for 2-manifolds
• Computing persistent homology
• Zigzag persistence
• Critical sets in discrete Morse theories: relating Forman and piecewise-linear approaches
• Parameterized Complexity of Discrete Morse Theory
• Generating Discrete Morse Functions from Point Data
• Towards Minimal Barcodes
• Toward Optimality in Discrete Morse Theory
• Computing Optimal Morse Matchings
• Barcodes: The persistent topology of data

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