Stable volumes for persistent homology
DOI10.1007/s41468-023-00119-8arXiv2109.11711OpenAlexW4382599626WikidataQ123148830 ScholiaQ123148830MaRDI QIDQ6082665
Publication date: 30 November 2023
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.11711
topological data analysispersistent homologycomputational algebraic topologyoptimization on homology algebra
Software, source code, etc. for problems pertaining to algebraic topology (55-04) Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40) Computational methods for problems pertaining to algebraic topology (55-08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hardness results for homology localization
- An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere
- Stability of persistence diagrams
- On the local behavior of spaces of natural images
- Computing persistent homology
- Topological persistence and simplification
- Stabilizing the unstable output of persistent homology computations
- The theory of the interleaving distance on multidimensional persistence modules
- Optimal homologous cycles, total unimodularity, and linear programming
- Topology and data
- Three-dimensional alpha shapes
- Kernel method for persistence diagrams via kernel embedding and weight factor
- Volume-Optimal Cycle: Tightest Representative Cycle of a Generator in Persistent Homology
- Induced Matchings of Barcodes and the Algebraic Stability of Persistence
- Distributed Coverage Verification in Sensor Networks Without Location Information
- Topology of viral evolution
- Persistence Images: A Stable Vector Representation of Persistent Homology
- Proximity of persistence modules and their diagrams
- Statistical topological data analysis using persistence landscapes
- Persistent 1-cycles: definition, computation, and its application
This page was built for publication: Stable volumes for persistent homology