Some new methods to build group equivariant non-expansive operators in TDA

DOI10.1007/978-981-16-0174-3_19zbMath1484.55006arXiv2010.08823OpenAlexW3203516453MaRDI QIDQ2067342

Nicola Quercioli

Publication date: 18 January 2022

Full work available at URL: https://arxiv.org/abs/2010.08823

zbMATH Keywords

group actiontopological data analysispersistent homologyfiltering functionnatural pseudo-distancepersistence diagramgroup equivariant non-expansive operator

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Topological data analysis (62R40)

Uses Software

• RotEqNet

Cites Work

• Unnamed Item
• Combining persistent homology and invariance groups for shape comparison
• Persistent Homology: Theory and Practice
• Topology and data
• On invariance and selectivity in representation learning

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