Geometric data analysis
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Geometric data analysis comprises geometric aspects of image analysis, pattern analysis and shape analysis or 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.
See also
- Algebraic statistics for algebraic-geometry in statistics
- Combinatorial data analysis
- Computational anatomy for 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[permanent dead link]
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