Time-Inhomogeneous Diffusion Geometry and Topology

DOI10.1137/21m1462945arXiv2203.14860WikidataQ121071689 ScholiaQ121071689MaRDI QIDQ6171679

Unnamed Author, Unnamed Author, Alexander Tong, Matthew J. Hirn, Bastian Rieck, Guy Wolf, Smita Krishnaswamy, Unnamed Author

Publication date: 14 August 2023

Published in: SIAM Journal on Mathematics of Data Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14860

zbMATH Keywords

diffusionhierarchical clusteringtopological data analysispersistent homologytime-inhomogeneous process

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Stability of topological dynamical systems (37B25) General geometric structures on low-dimensional manifolds (57M50) Embeddings in differential topology (57R40) Computer science (68-XX) Topological data analysis (62R40)

Cites Work

• Persistence stability for geometric complexes
• Geometric bounds for eigenvalues of Markov chains
• Stability of persistence diagrams
• Time coupled diffusion maps
• Topological persistence and simplification
• A multiscale environment for learning by diffusion
• Diffusion maps
• Finding Groups in Data
• The estimation of the gradient of a density function, with applications in pattern recognition
• Biological Sequence Analysis
• Proximity of persistence modules and their diagrams
• Zigzag persistent homology and real-valued functions
• Barcodes: The persistent topology of data
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