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Statistical Analysis and Data Mining The ASA Data Science Journal
Article . 2013 . Peer-reviewed
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h‐plots for displaying nonmetric dissimilarity matrices

H-plots for displaying nonmetric dissimilarity matrices
Authors: Irene Epifanio;

h‐plots for displaying nonmetric dissimilarity matrices

Abstract

AbstractNonmetric pairwise data with violations of symmetry, reflexivity, or triangle inequality appear in fields such as image matching, web mining, or cognitive psychology. When data are inherently nonmetric, we should not enforce metricity as real information could be lost. The multidimensional scaling problem is addressed from a new perspective. I propose a method based on the h‐plot, which naturally handles asymmetric proximity data. Pairwise proximities between the objects are defined, though I do not embed these objects, but rather the variables that give the proximity to or from each object. The method is very simple to implement. The representation goodness can be easily assessed. The methodology is illustrated through several small examples and applied to the analysis of digital images of human corneal endothelia. Comparisons with well‐known methods show its good behavior, especially with nonmetric pairwise data, which motivate my methodology. Other databases and methods are analyzed in the supporting information. © 2013 Wiley Periodicals, Inc. Statistical Analysis and Data Mining 6: 136–143, 2013

Country
Spain
Related Organizations
Keywords

multidimensional scaling, non-Euclidean pairwise data, embedding, Statistics, Computer science, proximity data, visualization

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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