On the consistency and asymptotic normality of multiparameter persistent Betti numbers
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Publication:6650233
DOI10.1007/s41468-022-00110-9MaRDI QIDQ6650233
Magnus Bakke Botnan, Christian Hirsch
Publication date: 6 December 2024
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
consistencyasymptotic normalitygoodness-of-fit teststopological data analysismultiparameter persistent homology
Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40)
Cites Work
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- Ripser: efficient computation of Vietoris-Rips persistence barcodes
- Geometric inference for probability measures
- Exploring uses of persistent homology for statistical analysis of landmark-based shape data
- The theory of multidimensional persistence
- Limit theorems for persistence diagrams
- Gaussian limits for random measures in geometric probability
- Testing goodness of fit for point processes via topological data analysis
- Moderate deviations for stabilizing functionals in geometric probability
- Betti numbers in multidimensional persistent homology are stable functions
- Towards persistence-based reconstruction in euclidean spaces
- Log Gaussian Cox Processes
- Detecting Dependence Between Marks and Locations of Marked Point Processes
- Continuum Percolation
- Multiparameter Persistence Landscapes
- Functional limit theorems for the euler characteristic process in the critical regime
- DTM-Based Filtrations
- Stratifying Multiparameter Persistent Homology
- Convergence Criteria for Multiparameter Stochastic Processes and Some Applications
- Functional central limit theorems for persistent Betti numbers on cylindrical networks
- On weak convergence of random fields
- A limit theorem for persistence diagrams of random filtered complexes built over marked point processes
- Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions
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