Continuation of point clouds via persistence diagrams

DOI10.1016/j.physd.2015.11.011zbMath1415.55006arXiv1506.03147OpenAlexW602848568MaRDI QIDQ1999945

Marcio Gameiro, Ippei Obayashi, Yasuaki Hiraoka

Publication date: 27 June 2019

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03147

zbMATH Keywords

continuationpersistent homologypoint cloudpersistence diagram

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Simplicial sets and complexes in algebraic topology (55U10) Other homology theories in algebraic topology (55N35)

Related Items (6)

A framework for differential calculus on persistence barcodes ⋮ From trees to barcodes and back again. II: Combinatorial and probabilistic aspects of a topological inverse problem ⋮ A gradient sampling algorithm for stratified maps with applications to topological data analysis ⋮ Inverse Problems in Topological Persistence ⋮ Barcode embeddings for metric graphs ⋮ Editorial: Topology in dynamics, differential equations, and data

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