Topological and metric properties of spaces of generalized persistence diagrams
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Publication:6589172
DOI10.1007/S41468-023-00157-2MaRDI QIDQ6589172
Publication date: 19 August 2024
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
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- Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces
- Fréchet means for distributions of persistence diagrams
- Stability of persistence diagrams
- Asymptotic dimension
- Lipschitz functions have \(L_{p}\)-stable persistence
- Countability properties of function spaces
- Algebraic stability of zigzag persistence modules
- Numeric invariants from multidimensional persistence
- On the stability of interval decomposable persistence modules
- Generalized persistence diagrams for persistence modules over posets
- Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces
- Universality of persistence diagrams and the bottleneck and Wasserstein distances
- Embeddings of persistence diagrams into Hilbert spaces
- Medians of populations of persistence diagrams
- Decomposition of exact pfd persistence bimodules
- Topological spaces of persistence modules and their properties
- A course in metric geometry
- The asymptotic dimension of quotients by finite groups
- Probability measures on the space of persistence diagrams
- Support Vector Machines
- A.D. Alexandrov spaces with curvature bounded below
- Topological Data Analysis for Genomics and Evolution
- Barycenters in Alexandrov spaces of curvature bounded below
- Nonembeddability of persistence diagrams with $p>2$ Wasserstein metric
- The space of persistence diagrams on $n$ points coarsely embeds into Hilbert space
- Computational Topology for Data Analysis
- Topological Data Analysis with Applications
- Approximating continuous functions on persistence diagrams using template functions
- Persistence Over Posets
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