Image de couverture de livre

Universality of persistence diagrams and the bottleneck and Wasserstein distances

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Bubenik, Peter, Elchesen, Alex
Format:	Preprint
Publié:	2019
Sujets:	Algebraic Topology Computational Geometry
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces
par: Bubenik, Peter, et autres
Publié: (2020)

Relative Optimal Transport
par: Bubenik, Peter, et autres
Publié: (2024)

On the bottleneck stability of rank decompositions of multi-parameter persistence modules
par: Botnan, Magnus Bakke, et autres
Publié: (2022)

Projected distances for multi-parameter persistence modules
par: Berkouk, Nicolas, et autres
Publié: (2022)

Topological and metric properties of spaces of generalized persistence diagrams
par: Bubenik, Peter, et autres
Publié: (2022)

Anti-Vietoris--Rips metric thickenings and Borsuk graphs
par: Adams, Henry, et autres
Publié: (2025)

Discrete transforms of quantized persistence diagrams
par: Van Huffel, Michael Etienne, et autres
Publié: (2023)

Continuous persistence landscapes
par: Zhao, Wanchen, et autres
Publié: (2025)

Exact weights, path metrics, and algebraic Wasserstein distances
par: Bubenik, Peter, et autres
Publié: (2018)

Wasserstein Stability of Persistence Landscapes and Barcodes
par: Zhao, Wanchen, et autres
Publié: (2025)

Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds
par: Wagner, Hubert, et autres
Publié: (2024)

Computation of $γ$-linear projected barcodes for multiparameter persistence
par: Fernandes, Alex, et autres
Publié: (2024)

Dynamical Persistent Homology via Wasserstein Gradient Flow
par: Wang, Minghua, et autres
Publié: (2024)

Time-optimal persistent homology representatives for univariate time series
par: Leitao, Antonio, et autres
Publié: (2024)

Computing Betti tables and minimal presentations of zero-dimensional persistent homology
par: Luo, Yuan, et autres
Publié: (2024)

Persistent homology detects curvature
par: Bubenik, Peter, et autres
Publié: (2019)

Multi-parameter Module Approximation: an efficient and interpretable invariant for multi-parameter persistence modules with guarantees
par: Loiseaux, David, et autres
Publié: (2022)

Bounding the interleaving distance on concrete categories using a loss function
par: Olave, Astrid A., et autres
Publié: (2026)

Euclidean distance degree defect of singular projective varieties
par: Maxim, Laurenţiu G., et autres
Publié: (2026)

Quantum encodings that preserve persistent homology
par: Parzygnat, Arthur J., et autres
Publié: (2026)

Affine hyperplane arrangements at finite distance
par: Pfister, Anaëlle
Publié: (2026)

On the cosine similarity and orthogonality between persistence diagrams
par: Nordin, Azmeer, et autres
Publié: (2025)

Decomposing zero-dimensional persistent homology over rooted tree quivers
par: Bindua, Riju, et autres
Publié: (2024)

A Schauder Basis for Multiparameter Persistence
par: Bubenik, Peter, et autres
Publié: (2025)

Critical edges in Rips complexes and persistence
par: Goričan, Peter, et autres
Publié: (2023)

Homotopy, homology, and persistent homology using closure spaces
par: Bubenik, Peter, et autres
Publié: (2021)

On the Universal Curves with Unordered Marked Points
par: Watanabe, Tatsunari, et autres
Publié: (2025)

Hausdorff vs Gromov-Hausdorff distances
par: Adams, Henry, et autres
Publié: (2023)

Universal Homotopy Theories and Associated Homological Algebras
par: Rouintan, Ahmad
Publié: (2023)

Counts and end-curves in two-parameter persistence
par: Brüstle, Thomas, et autres
Publié: (2025)

Stabilizing Localization of Representative cycles
par: Yadav, Himanshu, et autres
Publié: (2025)

Gromov-Hausdorff distances from simply connected geodesic spaces to the circle
par: Martín, Saúl Rodríguez
Publié: (2024)

Regularity via Links and Stein Factorization
par: Grady, Ryan E., et autres
Publié: (2020)

Wrapping Cycles in Delaunay Complexes: Bridging Persistent Homology and Discrete Morse Theory
par: Bauer, Ulrich, et autres
Publié: (2022)

Nonabelian basechange theorems & étale homotopy theory
par: Haine, Peter J., et autres
Publié: (2023)

Four dimensional almost complex torus manifolds
par: Jang, Donghoon
Publié: (2023)

A Categorical Approach to Möbius Inversion via Derived Functors
par: Elchesen, Alex, et autres
Publié: (2024)

Topological Feature Search in Time-Varying Multifield Data
par: Agarwal, Tripti, et autres
Publié: (2019)

Computing Projective Implicit Representations from Poset Towers
par: Dey, Tamal K., et autres
Publié: (2025)

A Theory of Sub-Barcodes
par: Chubet, Oliver A., et autres
Publié: (2022)