Persistent Homology of Geospatial Data: A Case Study with Voting

DOI10.1137/19M1241519zbMath1460.62201arXiv1902.05911OpenAlexW3127037230MaRDI QIDQ5150208

Mason A. Porter, Michelle Feng

Publication date: 10 February 2021

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05911

zbMATH Keywords

topological data analysispersistent homologygeospatial datavoting data

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Applications of statistics to social sciences (62P25) Persistent homology and applications, topological data analysis (55N31) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Mathematical geography and demography (91D20) Simplicial sets and complexes in algebraic topology (55U10) Topological data analysis (62R40)

Related Items (5)

Topological Data Analysis of Spatial Systems ⋮ Capturing dynamics of time-varying data via topology ⋮ Analysis of Spatial and Spatiotemporal Anomalies Using Persistent Homology: Case Studies with COVID-19 Data ⋮ The (homological) persistence of gerrymandering ⋮ Extremal event graphs: a (stable) tool for analyzing noisy time series data

Uses Software

• Gudhi
• PHAT
• QGIS
• GitHub
• PersistenceImages

Cites Work

• Unnamed Item
• Unnamed Item
• Topological consistency via kernel estimation
• On the local behavior of spaces of natural images
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• A review of level-set methods and some recent applications
• Computing persistent homology
• Level set methods and dynamic implicit surfaces
• Homology and robustness of level and interlevel sets
• The Vietoris-Rips complexes of a circle
• Quantifying force networks in particulate systems
• Approximate Čech Complex in Low and High Dimensions
• PHAT – Persistent Homology Algorithms Toolbox
• What can topology tell us about the neural code?
• On the shape of a set of points in the plane
• Networks
• Persistent homology detects curvature
• Persistence Images: A Stable Vector Representation of Persistent Homology
• Statistical topological data analysis using persistence landscapes
• Barcodes: The persistent topology of data

This page was built for publication: Persistent Homology of Geospatial Data: A Case Study with Voting