Tropical coordinates on the space of persistence barcodes
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Publication:1727979
DOI10.1007/s10208-018-9379-yzbMath1423.55007arXiv1604.00113OpenAlexW3126104578MaRDI QIDQ1727979
Publication date: 21 February 2019
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.00113
Related Items (12)
Multiparameter Persistence Landscapes ⋮ Aspects of topological approaches for data science ⋮ A framework for differential calculus on persistence barcodes ⋮ Approximating continuous functions on persistence diagrams using template functions ⋮ Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams ⋮ Stratifying the space of barcodes using Coxeter complexes ⋮ The Persistence Landscape and Some of Its Properties ⋮ Symmetric polynomials in upper-bound semirings ⋮ Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis ⋮ Geometric Metrics for Topological Representations ⋮ Unnamed Item ⋮ On topological analysis of cells organization in biological images
Uses Software
Cites Work
- Symmetric and \(r\)-symmetric tropical polynomials and rational functions
- The ring of algebraic functions on persistence bar codes
- The neural ring: an algebraic tool for analyzing the intrinsic structure of neural codes
- Stability of persistence diagrams
- A Klein-bottle-based dictionary for texture representation
- Computing persistent homology
- Topological persistence and simplification
- Support-vector networks
- Clique topology reveals intrinsic geometric structure in neural correlations
- Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology
- Topology and data
- Topological pattern recognition for point cloud data
- Statistical topological data analysis using persistence landscapes
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- Unnamed Item
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