Improved classification for compositional data using the \(\alpha\)-transformation

DOI10.1007/s00357-016-9207-5zbMath1349.62284arXiv1506.04976OpenAlexW2120877273MaRDI QIDQ333340

Michail Tsagris, Simon P. Preston, Andrew T. A. Wood

Publication date: 28 October 2016

Published in: Journal of Classification (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04976

zbMATH Keywords

classificationcompositional dataJensen-Shannon divergence\(\alpha\)-metric\(\alpha\)-transformation

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Geostatistics (86A32)

Related Items (7)

Improved classification for compositional data using the \(\alpha\)-transformation ⋮ Parametric Lie group structures on the probabilistic simplex and generalized compositional data ⋮ A folded model for compositional data analysis ⋮ A review of compositional data analysis and recent advances ⋮ Flexible non-parametric regression models for compositional data ⋮ Gaussian asymptotic limits for the \({\alpha}\)-transformation in the analysis of compositional data ⋮ Discussion: Object-Oriented Data Analysis, Power Metrics, and Graph Laplacians

Uses Software

• UCI-ml
• ElemStatLearn
• QFASA
• Compositional

Cites Work

• Unnamed Item
• Unnamed Item
• Dealing with distances and transformations for fuzzy \(c\)-means clustering of compositional data
• Improved classification for compositional data using the \(\alpha\)-transformation
• Analysis of a European Union election using principal component analysis
• Isometric logratio transformations for compositional data analysis
• Logratio analysis and compositional distance.
• Power transformations in correspondence analysis
• Dirichlet component regression and its applications to psychiatric data
• A new class of metric divergences on probability spaces and its applicability in statistics
• Managing the essential zeros in quantitative fatty acid signature analysis
• Colours and Cocktails: Compositional Data Analysis 2013 Lancaster Lecture
• A new metric for probability distributions
• Principal component analysis of compositional data
• Regression for Compositional Data by using Distributions Defined on the Hypersphere
• The Helmert Matrices
• On criteria for measures of compositional difference
• The elements of statistical learning. Data mining, inference, and prediction

This page was built for publication: Improved classification for compositional data using the \(\alpha\)-transformation