Zigzag zoology: Rips zigzags for homology inference
type: Item
instance of: scholarly article
title: Zigzag zoology: Rips zigzags for homology inference
zbMATH Open document ID: 1335.68285
author: Donald R. Sheehy
author: Steve Y. Oudot
published in: Foundations of Computational Mathematics
publication date: 2015-10-28T00:00:00Z
full work available at URL: main.pdf
Mathematics Subject Classification ID: 68U05
Mathematics Subject Classification ID: 55N99
Mathematics Subject Classification ID: 55U10
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 68T10
zbMATH DE Number: 6499486
zbMATH Keywords: topological inference
zbMATH Keywords: persistent homology
zbMATH Keywords: Vietoris-Rips complex
zbMATH Keywords: quiver representations
zbMATH Keywords: reflections
describes a project that uses: Dionysus
MaRDI profile type: Publication
OpenAlex ID: W2047512439
cites work: Vietoris-Rips complexes also provide topologically correct reconstructions of sampled shapes
cites work: COXETER FUNCTORS AND GABRIEL'S THEOREM
cites work: A course in metric geometry
cites work: Topology and data
cites work: Zigzag persistence
cites work: On the local behavior of spaces of natural images
cites work: Geometric inference for probability measures
cites work: A sampling theory for compact sets in Euclidean space
cites work: Scalar field analysis over point cloud data
cites work: Towards persistence-based reconstruction in euclidean spaces
cites work: A weak characterisation of the Delaunay triangulation
cites work: Coverage in sensor networks via persistent homology
cites work: Graph induced complex on point data
cites work: Computing Topological Persistence for Simplicial Maps
cites work: Topological persistence and simplification
cites work: Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
cites work: Reconstruction using witness complexes
cites work: Q4819371
cites work: Q4266107
cites work: Topological inference via meshing
cites work: Categories and Sheaves
cites work: Vietoris-Rips complexes of metric spaces near a closed Riemannian manifold
cites work: The nonlinear statistics of high-contrast patches in natural images
cites work: Linear-size approximations to the Vietoris-Rips filtration
cites work: Computing persistent homology
DOI: 10.1007/S10208-014-9219-7
Recommended article: Zigzag zoology
Recommended article: Zig-Zag Sampling for Discrete Structures and Nonreversible Phylogenetic MCMC
Recommended article: Topological data analysis of zebrafish patterns
Recommended article: Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns
Recommended article: Q3137285
Recommended article: Convex hull analysis of evolutionary and phylogenetic relationships between biological groups
Recommended article: Folding and unfolding phylogenetic trees and networks
description: scientific article; zbMATH DE number 6499486