Dimensionality reduction when data are density functions

DOI10.1016/j.csda.2010.05.008zbMath1247.62148OpenAlexW2067167380MaRDI QIDQ452596

Pedro F. Delicado

Publication date: 15 September 2012

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2010.05.008

zbMATH Keywords

compositional datafunctional data analysismultidimensional scalingprincipal components analysisKullbackLeibler divergence\(L_{p}\) distancegraphical outputpopulation pyramids

Mathematics Subject Classification ID

Multivariate analysis (62H99) Factor analysis and principal components; correspondence analysis (62H25)

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Uses Software

• fda (R)

Cites Work

• Unnamed Item
• Variational Bayesian functional PCA
• Statistics for functional data
• Classifying densities using functional regression trees: applications in oceanology
• Functional data analysis
• Applied functional data analysis. Methods and case studies
• Principal curves of oriented points: theoretical and computational improvements
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• Hilbert space of probability density functions based on Aitchison geometry
• Modern multidimensional scaling. Theory and applications.
• Inference for Density Families Using Functional Principal Component Analysis
• Geometric approach to statistical analysis on the simplex

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