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Basic metric geometry of the bottleneck distance
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01895833openalex-snapshot
On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds
inferredcites →https://doi.org/10.1007/s00454-004-1146-yopenalex-snapshot
Computing Persistent Homology
inferredcites →https://doi.org/10.1007/s00454-006-1276-5openalex-snapshot
Stability of Persistence Diagrams
inferredcites →https://doi.org/10.1007/s00454-014-9604-7openalex-snapshot
Fréchet Means for Distributions of Persistence Diagrams
inferredcites →https://doi.org/10.1007/s00454-021-00298-0openalex-snapshot
On the Stability of Interval Decomposable Persistence Modules
inferredcites →https://doi.org/10.1007/s00454-022-00383-yopenalex-snapshot
On Rectangle-Decomposable 2-Parameter Persistence Modules
inferredcites →https://doi.org/10.1007/s10208-010-9060-6openalex-snapshot
Lipschitz Functions Have L p -Stable Persistence
inferredcites →https://doi.org/10.1007/s41468-017-0003-zopenalex-snapshot
Numeric invariants from multidimensional persistence
inferredcites →https://doi.org/10.1007/s41468-018-0022-4openalex-snapshot
Topological spaces of persistence modules and their properties
inferredcites →https://doi.org/10.1007/s41468-020-00061-zopenalex-snapshot
Understanding the Topology and the Geometry of the Space of Persistence Diagrams via Optimal Partial Transport
inferredcites →https://doi.org/10.1007/s41468-022-00091-9openalex-snapshot
Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces
inferredcites →https://doi.org/10.1016/j.comgeo.2022.101879openalex-snapshot
On interval decomposability of 2D persistence modules
inferredcites →https://doi.org/10.1016/j.comgeo.2022.101882openalex-snapshot
Universality of persistence diagrams and the bottleneck and Wasserstein distances
inferredcites →https://doi.org/10.1017/9781108975704openalex-snapshot
Topological Data Analysis with Applications
inferredcites →https://doi.org/10.1088/0266-5611/27/12/124007openalex-snapshot
Probability measures on the space of persistence diagrams
inferredcites →https://doi.org/10.1090/surv/209openalex-snapshot
Persistence Theory: From Quiver Representations to Data Analysis
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/s10208-024-09679-2openalex-snapshot
Grounded Persistent Path Homology: A Stable, Topological Descriptor for Weighted Digraphs
inferred← citeshttps://doi.org/10.1007/s12220-024-01821-4openalex-snapshot
On the Reach of Isometric Embeddings into Wasserstein Type Spaces
inferred← citeshttps://doi.org/10.1007/s41468-024-00189-2openalex-snapshot
Metric geometry of spaces of persistence diagrams
inferred← citeshttps://doi.org/10.1016/j.patcog.2024.111048openalex-snapshot
Federated Incremental Learning algorithm based on Topological Data Analysis
inferred← citeshttps://doi.org/10.1109/tfuzz.2025.3633781openalex-snapshot
Clustering Based on Transitive Closure of Distance Functions
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