Computing Multidimensional Persistence

2009/01/01 by Gunnar Carlsson, Gurjeet Singh, Afra Zomorodian · 34 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Algorithm #Bioinformatics and Genomic Networks #Combinatorics #Computer science #Data mining #Homotopy and Cohomology in Algebraic Topology #Mathematics #Multidimensional data #Multidimensional systems #Persistence (discontinuity) #Persistent data structure #Polynomial #Theoretical computer science #Topological and Geometric Data Analysis #Topological data analysis #Topology (electrical circuits)

paper · doi:10.1007/978-3-642-10631-6_74

published in Lecture Notes in Computer Science, 730-739 (Springer Berlin Heidelberg)

crossref issued 2009/01/01 · crossref published 2009/01/01 · crossref published-print 2009/01/01 · openalex publication_date 2009/01/01 · crossref created 2009/12/04 · crossref deposited 2020/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04 · crossref indexed 2026/08/07

Citations

• On the Local Behavior of Spaces of Natural Images
• Computing Persistent Homology
• Semi-Simplicial Complexes and Singular Homology
• Computing Multidimensional Persistence
• Topological Persistence and Simplification
• Graduate Texts in Mathematics
• Hyperbolic Groups
• The Theory of Multidimensional Persistence

Cited by

• Betti numbers in multidimensional persistent homology are stable functions
• Stable Comparison of Multidimensional Persistent Homology Groups with Torsion
• Necessary conditions for discontinuities of multidimensional persistent Betti numbers
• Topology and data
• A fast algorithm for constructing topological structure in large data
• Topological data analysis [wikipedia]