Geometric data analysis

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title: "Geometric data analysis" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["fields-of-geometry", "multivariate-statistics", "spatial-analysis", "applied-geometry"] topic_path: "science/mathematics" source: "https://en.wikipedia.org/wiki/Geometric_data_analysis" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0

Geometric data analysis comprises geometric aspects of image analysis, pattern analysis, and shape analysis, and the approach of multivariate statistics, which treat arbitrary data sets as clouds of points in a space that is n-dimensional. This includes topological data analysis, cluster analysis, inductive data analysis, correspondence analysis, multiple correspondence analysis, principal components analysis and iconography of correlations.

References

Approximation of Geodesic Distances for Geometric Data Analysis

Differential geometry and data analysis

Differential Geometry and Statistics, M.K. Murray, J.W. Rice, Chapman and Hall/CRC,
Ridges in image and data analysis, David Eberly, Springer, 1996,

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