scientific article; zbMATH DE number 7589533

DOI10.18255/1818-1015-450-468zbMath1497.68539MaRDI QIDQ5866347

Sergeĭ Nikolaevich Chukanov

Publication date: 21 September 2022

Full work available at URL: http://mathnet.ru/eng/mais690

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

pattern recognitionWasserstein distancediffeomorphic transformationspersistent (co)homology

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Computing methodologies for image processing (68U10) Pattern recognition, speech recognition (68T10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Uses Software

• javaPlex

Cites Work

• Persistent cohomology and circular coordinates
• Metamorphoses through Lie group action
• Computing large deformation metric mappings via geodesic flows of diffeomorphisms
• Topological pattern recognition for point cloud data
• Persistent Cohomology for Data With Multicomponent Heterogeneous Information
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