Geometric data analysis comprises geometric aspects of image analysis, pattern analysis and shape analysis and the approach of multivariate statistics that treats arbitrary data sets as clouds of points in n-dimensional space. This includes topological data analysis, cluster analysis, inductive data analysis, correspondence analysis, multiple correspondence analysis, principal components analysis and :fr:Iconographie des corrélations.^[clarify]

See also

• Algebraic statistics for algebraic-geometry in statistics
• Combinatorial data analysis
• Computational anatomy for the study of shapes and forms at the morphome scale
• Structured data analysis (statistics)

References

• Brigitte Le Roux, Henry Rouanet (2004). Geometric Data Analysis: from Correspondence Analysis to Structured Data Analysis. Springer. ISBN 978-1-4020-2235-7. 
• Michael J. Greenacre, Jörg Blasius (2006). Multiple Correspondence Analysis and Related Methods. CRC press. ISBN 978-1-58488-628-0. 
• 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, ISBN:978-0-412-39860-5
• Ridges in image and data analysis, David Eberly, Springer, 1996, ISBN:978-0-7923-4268-7