On the Resolution of Compositional Datasets into Convex Combinations of Extreme Vectors

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Title

On the Resolution of Compositional Datasets into Convex Combinations of Extreme Vectors

Content partner

Victoria University of Wellington

Collection

Open Access Victoria University of Wellington

Description

Large compositional datasets of the kind assembled in the geosciences are often of remarkably low approximate rank. That is, within a tolerable error, data points representing the rows of such an array can approximately be located in a relatively small dimensional subspace of the row space. A physical mixing process which would account for this phenomenon implies that each observation vector of an array can be estimated by a convex combination of a small number of fixed source or 'endmember' ...

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Format

Research paper

Research format

Scholarly text / Thesis

Thesis level

Doctoral

Date created

1989

Creator

Renner, Ross Martyn

URL

https://figshare.com/articles/thesis/On_the_Resolution_of_Compositional_Datasets_into_Convex_Comb...

Related subjects

Statistics not elsewhere classified / Statistical methods / Marine sediments / Iterative methods (Mathematics) / Convex sets / School: School of Mathematics, Statistics and Computer Science / Marsden: 230203 Statistical Theory / Marsden: 230101 Mathematical Logic, Set Theory, Lattices and Combinatorics / Degree Discipline: Mathematics / Degree Level: Doctoral / Degree Name: Doctor of Philosophy

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