Cover Image

Persistent homology detects curvature

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bubenik, Peter, Hull, Michael, Patel, Dhruv, Whittle, Benjamin
Format:	Preprint
Published:	2019
Subjects:	Computational Geometry Machine Learning Algebraic Topology 55N99
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Persistent Homology via Finite Topological Spaces
by: Kayacan, Selçuk
Published: (2025)

Topological Machine Learning with Unreduced Persistence Diagrams
by: Abreu, Nicole, et al.
Published: (2025)

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

Distributed Persistent Homology for 2D Alpha Complexes
by: Jensen, Freya, et al.
Published: (2024)

An axiomatic treatment of Persistent Homology
by: Ura, Sergio Tsuyoshi, et al.
Published: (2024)

Topological and metric properties of spaces of generalized persistence diagrams
by: Bubenik, Peter, et al.
Published: (2022)

Super-Polynomial Growth of the Generalized Persistence Diagram
by: Kim, Donghan, et al.
Published: (2024)

Tensor Computation of Euler Characteristic Functions and Transforms
by: Cisewski-Kehe, Jessi, et al.
Published: (2025)

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

Sparsification of the Generalized Persistence Diagrams for Scalability through Gradient Descent
by: Carrière, Mathieu, et al.
Published: (2024)

The Walk-Length Filtration for Persistent Homology on Weighted Directed Graphs
by: Muñoz, David E., et al.
Published: (2025)

Spectral sequences, Massey products and homology of covering spaces
by: Liu, Yongqiang, et al.
Published: (2025)

Approximate and discrete Euclidean vector bundles
by: Scoccola, Luis, et al.
Published: (2021)

Lifting Cocycles: From Heuristic to Theory
by: Gaukstad, Sigurd, et al.
Published: (2025)

Homotopy, homology, and persistent homology using closure spaces
by: Bubenik, Peter, et al.
Published: (2021)

Topological feature selection for time series data
by: Bubenik, Peter, et al.
Published: (2023)

$K$-theory of Flag Bott manifolds
by: Paul, Bidhan, et al.
Published: (2022)

Persistence K-theory
by: Biran, Paul, et al.
Published: (2023)

Second homotopy classes associated with non-cancellative monoids
by: Saito, Kyoji
Published: (2023)

Persistent homology of function spaces
by: Block, Jonathan, et al.
Published: (2025)

Discrete Microlocal Morse Theory
by: Brown, Adam, et al.
Published: (2022)

Magnitude homology of geodesic space
by: Gomi, Kiyonori
Published: (2019)

Blowdowns of the Deligne-Mumford Spaces of Real Rational Curves
by: Chen, Xujia, et al.
Published: (2023)

The Cohomology Ring of the Deligne-Mumford Moduli Space of Real Rational Curves with Conjugate Marked Points
by: Chen, Xujia, et al.
Published: (2023)

Higher topological complexity of Seifert fibered manifolds
by: Daundkar, Navnath, et al.
Published: (2023)

Algebraic Wasserstein distances and stable homological invariants of data
by: Agerberg, Jens, et al.
Published: (2023)

Vietoris-Rips Complexes of Split-Decomposable Spaces
by: Gómez, Mario
Published: (2024)

Harder-Narasimhan Filtrations of Persistence Modules
by: Fersztand, Marc, et al.
Published: (2023)

Combinatorial Persistent Homology Transform
by: Fasy, Brittany Terese, et al.
Published: (2022)

Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds
by: Wagner, Hubert, et al.
Published: (2024)

Estimating the persistent homology of $\mathbb{R}^n$-valued functions using function-geometric multifiltrations
by: André, Ethan, et al.
Published: (2024)

$O(k)$-Equivariant Dimensionality Reduction on Stiefel Manifolds
by: Lee, Andrew, et al.
Published: (2023)

Minimal projective resolution and magnitude homology of geodetic metric spaces
by: Asao, Yasuhiko, et al.
Published: (2024)

Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values
by: Bapat, Asilata, et al.
Published: (2022)

Contractibility of Vietoris-Rips Complexes of dense subsets in $(\mathbb{R}^n, \ell_1)$ via hyperconvex embeddings
by: Wang, Qingsong
Published: (2024)

Normalized Derivations for Milnor's Primitive Operations on the Dickson Algebra and Applications
by: Phuc, Dang Vo
Published: (2025)

Morse theory of Euclidean distance functions from algebraic hypersurfaces
by: Guidolin, Andrea, et al.
Published: (2024)

Critical edges in Rips complexes and persistence
by: Goričan, Peter, et al.
Published: (2023)

On the Dolbeault Cohomology of Configuration Spaces
by: Yang, Peng
Published: (2025)

Simplicial intersection homology revisited
by: Chataur, David, et al.
Published: (2021)