The Persistence Landscape and Some of Its Properties
From MaRDI portal
Publication:5118360
DOI10.1007/978-3-030-43408-3_4zbMath1453.62807arXiv1810.04963OpenAlexW2896032624MaRDI QIDQ5118360
Publication date: 8 September 2020
Published in: Topological Data Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.04963
Density estimation (62G07) Computational learning theory (68Q32) Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40)
Related Items (8)
Persistence landscapes of affine fractals ⋮ Edit Distance and Persistence Diagrams over Lattices ⋮ Persistence curves: a canonical framework for summarizing persistence diagrams ⋮ Topological data analysis of noise: uniform unimodal distributions ⋮ Topological features of multivariate distributions: dependency on the covariance matrix ⋮ Graded persistence diagrams and persistence landscapes ⋮ Consensus on simplicial complexes: Results on stability and synchronization ⋮ A Bayesian Framework for Persistent Homology
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hypothesis testing for topological data analysis
- The ring of algebraic functions on persistence bar codes
- Using persistent homology and dynamical distances to analyze protein binding
- Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces
- A persistence landscapes toolbox for topological statistics
- Fréchet means for distributions of persistence diagrams
- Stability of persistence diagrams
- Topological data analysis of single-trial electroencephalographic signals
- Tropical coordinates on the space of persistence barcodes
- Topological persistence and simplification
- Topological microstructure analysis using persistence landscapes
- Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids
- Topological data analysis of financial time series: landscapes of crashes
- Categorification of persistent homology
- Challenges in topological object data analysis
- Topological spaces of persistence modules and their properties
- Probabilistic Fréchet means for time varying persistence diagrams
- A topological measurement of protein compressibility
- The theory of the interleaving distance on multidimensional persistence modules
- A statistical approach to persistent homology
- Probability measures on the space of persistence diagrams
- Statistical topology via Morse theory, persistence and nonparametric estimation
- Kernel method for persistence diagrams via kernel embedding and weight factor
- Persistent homology transform for modeling shapes and surfaces
- Modeling and replicating statistical topology and evidence for CMB nonhomogeneity
- Nonparametric Estimation of Probability Density Functions of Random Persistence Diagrams
- Metrics and Stabilization in One Parameter Persistence
- Persistence Images: A Stable Vector Representation of Persistent Homology
- Proximity of persistence modules and their diagrams
- Statistical topological data analysis using persistence landscapes
This page was built for publication: The Persistence Landscape and Some of Its Properties
