Imagen de Portada

Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Lim, Sunhyuk, Memoli, Facundo, Okutan, Osman Berat
Formato:	Preprint
Publicado:	2020
Materias:	Algebraic Topology Computational Geometry
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

The G-Gromov-Hausdorff Distance and Equivariant Topology
por: Lim, Sunhyuk, et al.
Publicado: (2025)

Stability and Approximations for Decorated Reeb Spaces
por: Curry, Justin, et al.
Publicado: (2023)

On $\ell_p$-Vietoris-Rips complexes
por: Ivanov, Sergei O., et al.
Publicado: (2024)

Vietoris--Rips Shadow for Euclidean Graph Reconstruction
por: Komendarczyk, Rafal, et al.
Publicado: (2025)

Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes
por: Adams, Henry, et al.
Publicado: (2022)

Geometric Bounds for Persistence
por: Balitskiy, Alexey, et al.
Publicado: (2024)

Faster computation of degree-1 persistent homology using the reduced Vietoris-Rips filtration
por: Koyama, Musashi Ayrton, et al.
Publicado: (2023)

Anti-Vietoris--Rips metric thickenings and Borsuk graphs
por: Adams, Henry, et al.
Publicado: (2025)

Sparse Approximation of the Subdivision-Rips Bifiltration for Doubling Metrics
por: Lesnick, Michael, et al.
Publicado: (2024)

Classical Multidimensional Scaling on Metric Measure Spaces
por: Lim, Sunhyuk, et al.
Publicado: (2022)

Persistent Homology for MCI Classification: A Comparative Analysis between Graph and Vietoris-Rips Filtrations
por: Bhattacharya, Debanjali, et al.
Publicado: (2024)

The Gestalt Computational Model by Persistent Homology
por: Chen, Yu, et al.
Publicado: (2024)

Non-isotropic Persistent Homology: Leveraging the Metric Dependency of PH
por: Grande, Vincent P., et al.
Publicado: (2023)

Keeping it sparse: Computing Persistent Homology revisited
por: Bauer, Ulrich, et al.
Publicado: (2022)

Dynamical Persistent Homology via Wasserstein Gradient Flow
por: Wang, Minghua, et al.
Publicado: (2024)

Persistent Homology with Path-Representable Distances on Graph Data
por: Heo, Eunwoo, et al.
Publicado: (2025)

The Shadow of Vietoris--Rips Complexes in Limits
por: Kawamura, Kazuhiro, et al.
Publicado: (2026)

Computing Representatives of Persistent Homology Generators with a Double Twist
por: Pham, Tuyen, et al.
Publicado: (2024)

The Persistent Topology of Optimal Transport Based Metric Thickenings
por: Adams, Henry, et al.
Publicado: (2021)

Wrapping Cycles in Delaunay Complexes: Bridging Persistent Homology and Discrete Morse Theory
por: Bauer, Ulrich, et al.
Publicado: (2022)

Facets in the Vietoris--Rips complexes of hypercubes
por: Briggs, Joseph, et al.
Publicado: (2024)

Analyzing Singular Patterns in Discrete Planar Vector Fields via Persistent Path Homology
por: Chen, Yu, et al.
Publicado: (2024)

Differentiability and Optimization of Multiparameter Persistent Homology
por: Scoccola, Luis, et al.
Publicado: (2024)

Kan Approximations of the Persistent Homology Transform
por: Arya, Shreya, et al.
Publicado: (2025)

Bottleneck Profiles and Discrete Prokhorov Metrics for Persistence Diagrams
por: Dłotko, Paweł, et al.
Publicado: (2021)

The connectivity of Vietoris-Rips complexes of spheres
por: Adams, Henry, et al.
Publicado: (2024)

Vietoris-Rips Complexes of Split-Decomposable Spaces
por: Gómez, Mario
Publicado: (2024)

Persistent Homology as Stopping-Criterion for Voronoi Interpolation
por: Melodia, Luciano, et al.
Publicado: (2019)

The Generalized Rank Invariant: Möbius invertibility, Discriminating Power, and Connection to Other Invariants
por: Clause, Nathaniel, et al.
Publicado: (2022)

On the Injectivity of Euler Integral Transforms with Hyperplanes and Quadric Hypersurfaces
por: Ji, Mattie
Publicado: (2023)

Persistent Homology via Finite Topological Spaces
por: Kayacan, Selçuk
Publicado: (2025)

Vietoris--Rips complexes of ellipses at larger scales
por: Adams, Henry, et al.
Publicado: (2025)

$\ell^p$-Stability of Weighted Persistence Diagrams
por: Gülen, Aziz Burak, et al.
Publicado: (2025)

Persistent Homology with Selective Rips complexes detects geodesic circles
por: Virk, Žiga
Publicado: (2021)

The Shape of Adversarial Influence: Characterizing LLM Latent Spaces with Persistent Homology
por: Fay, Aideen, et al.
Publicado: (2025)

Grassmannian Persistence Diagrams
por: Gülen, Aziz Burak, et al.
Publicado: (2023)

PHLP: Sole Persistent Homology for Link Prediction - Interpretable Feature Extraction
por: You, Junwon, et al.
Publicado: (2024)

Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
por: Loiseaux, David, et al.
Publicado: (2023)

Oriented Grassmannian Bundle, Normal Curvature Reduction, and Persistent Homology
por: Gang, Dongwoo
Publicado: (2025)

Graphs and Their Vietoris-Rips Complexes Have the Same Pseudotopological Weak Homotopy Type
por: Treviño-Marroquín, Jonathan
Publicado: (2024)