Multidimensional scaling: Difference between revisions

Revision as of 05:55, 30 January 2023

Revision as of 12:31, 23 March 2023

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:<math> \underset{x_1,\ldots,x_M}{\mathrm{argmin}} \sum_{i<j} ( \|x_i - x_j\| - d_{i,j} )^2. \, </math>

A solution may then be found by numerical optimization techniques. For some particularly chosen cost functions, minimizers can be stated analytically in terms of matrix [[Eigendecomposition of a matrix|eigendecompositions]].{{citation<ref needed|datename=September"borg" 2012}}/>.

==Procedure==