Generalized Cores
Modern Multidimensional Scaling 8. A Majorization Algorithm for
Solving MDS2009-02-25 [email protected] Stress Function for
MDSSix definitionsn denotes the number of empirical
objects.Stimuli, variables, items, questions, and so on, depending
on contextIf an observation has been made for a pair of objects i
and j, a proximity value pij is given.proximity both similarity and
dissimilaritymissing value If pij is undefinedDissimilarity is a
proximity that indicates how dissimilar two objects are.X
denotes(a) a point configuration (i.e., a set of n points in
m-dimensional space)(b) the n*m matrix of the coordinates of the n
points relative to m Cartesian coordinate axes.The Euclidean
distance between any two points i and j in X is the length of a
straight line connection points i and j in X.The term f(pij)
denotes a mapping of pij, that is the number assigned to pij
according to rule f.
We define an error of representation byeij 2 = (dij - ij) 2
The final version of raw stressr(X) = i
