Persistent Homology: Theory and Practice
From MaRDI portal
Publication:2989880
DOI10.4171/120-1/3zbMath1364.55008OpenAlexW4211095002MaRDI QIDQ2989880
Publication date: 8 June 2017
Published in: European Congress of Mathematics Kraków, 2 – 7 July, 2012 (Search for Journal in Brave)
Full work available at URL: https://escholarship.org/uc/item/2h33d90r
algorithmsstabilitydistancealgebraic topologyhomology groupshigh-dimensional datashape analysisscaletopology repair
Symbolic computation and algebraic computation (68W30) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Homology and cohomology theories in algebraic topology (55N99)
Related Items (18)
The Offset Filtration of Convex Objects ⋮ On the set of optimal homeomorphisms for the natural pseudo-distance associated with the Lie group \(S^{1}\) ⋮ New families of stable simplicial filtration functors ⋮ Geometry of the matching distance for 2D filtering functions ⋮ Functional summaries of persistence diagrams ⋮ Moduli spaces of Morse functions for persistence ⋮ Computing invariants for multipersistence via spectral systems and effective homology ⋮ The complexity of some topological inference problems ⋮ Persistent homology and the shape of evolutionary games ⋮ Architecture and evolution of semantic networks in mathematics texts ⋮ Nonparametric inference via bootstrapping the debiased estimator ⋮ Computational tools in weighted persistent homology ⋮ On the geometrical properties of the coherent matching distance in 2D persistent homology ⋮ Generalized cluster trees and singular measures ⋮ Some new methods to build group equivariant non-expansive operators in TDA ⋮ The representation theorem of persistence revisited and generalized ⋮ A functorial Dowker theorem and persistent homology of asymmetric networks ⋮ A look into chaos detection through topological data analysis
This page was built for publication: Persistent Homology: Theory and Practice