About: Multidimensional scaling

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Multidimensional scaling (MDS) is a means of visualizing the level of similarity of individual cases of a dataset. MDS is used to translate "information about the pairwise 'distances' among a set of objects or individuals" into a configuration of points mapped into an abstract Cartesian space. More technically, MDS refers to a set of related ordination techniques used in information visualization, in particular to display the information contained in a distance matrix. It is a form of non-linear dimensionality reduction.

Attributes	Values
rdf:type	Thing software
rdfs:label	Multidimensional scaling (en)
rdfs:comment	Multidimensional scaling (MDS) is a means of visualizing the level of similarity of individual cases of a dataset. MDS is used to translate "information about the pairwise 'distances' among a set of objects or individuals" into a configuration of points mapped into an abstract Cartesian space. More technically, MDS refers to a set of related ordination techniques used in information visualization, in particular to display the information contained in a distance matrix. It is a form of non-linear dimensionality reduction. (en)
sameAs	Multidimensional scaling
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Citation_needed dbt:Cite_book dbt:Cite_journal dbt:Commons_category dbt:Main dbt:Refbegin dbt:Refend dbt:Reflist dbt:Short_description
Subject	Dimension reduction Psychometrics Quantitative marketing research
gold:hypernym	Means
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Multidimensional_scaling?oldid=1073146377&ns=0
Wikipage page ID	398786 (xsd:integer)
page length (characters) of wiki page	19526 (xsd:nonNegativeInteger)
Wikipage revision ID	1073146377 (xsd:integer)
Link from a Wikipage to another Wikipage	Nonlinear dimensionality reduction Nonparametric statistics Norm (mathematics) Sørensen–Dice coefficient Algorithm Monotonic function Monte Carlo method Semantic differential Taxonomy Three-dimensional graph Dimension reduction Psychometrics Quantitative marketing research Cayley–Menger determinant Centering matrix James O. Ramsay Dimension Dimensionality reduction Distance geometry Distance matrix Metric (mathematics) Linear discriminant analysis Sammon mapping Cluster analysis Coefficient of determination ELKI Eigendecomposition of a matrix Eigenvalues and eigenvectors Ordination (statistics) Functional data analysis Iconography of correlations Perceptual mapping Scatter plot Scikit-learn Diagonal matrix Factor analysis Information visualization Euclidean distance Stress majorization Isotonic regression Jaccard index Loss function Louis Guttman Likert scale MATLAB Mathematical optimization McGill University R (programming language) Real number Similarity measure
has abstract	Multidimensional scaling (MDS) is a means of visualizing the level of similarity of individual cases of a dataset. MDS is used to translate "information about the pairwise 'distances' among a set of objects or individuals" into a configuration of points mapped into an abstract Cartesian space. More technically, MDS refers to a set of related ordination techniques used in information visualization, in particular to display the information contained in a distance matrix. It is a form of non-linear dimensionality reduction. Given a distance matrix with the distances between each pair of objects in a set, and a chosen number of dimensions, N, an MDS algorithm places each object into N-dimensional space (a lower-dimensional representation) such that the between-object distances are preserved as well as possible. For N = 1, 2, and 3, the resulting points can be visualized on a scatter plot. Core theoretical contributions to MDS were made by James O. Ramsay of McGill University, who is also regarded as the founder of functional data analysis. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Multidimensional_scaling
is Wikipage redirect of	Non-metric multidimensional scaling Classical multidimensional scaling Multidimensional Scaling CMDS Multi-Dimensional Scaling Multi-dimensional scaling Multi dimensional scaling Multi dimensional scaling (in marketing) Multidimensional scaling (in marketing) Multidimensional scaling in marketing Smallest-space analysis Smallest Space Analysis Smallest space analysis Principal co-ordinate analysis Principal co-ordinates analysis Principal coordinate analysis Principal coordinates analysis Principle coordinate analysis Principle coordinates analysis MDS plot Metric multidimensional scaling
is Link from a Wikipage to another Wikipage of	Force-directed graph drawing Forrest W. Young List of statistics articles

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