Multidimensional scaling: Difference between revisions

Revision as of 12:31, 23 March 2023

Revision as of 05:54, 28 March 2023

Line 99:

:<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]].<ref name="borg" />.

==Procedure==