dimension reduction techniques that map the distance between observations in a high-dimensional source space into a low-dimensional target space.
Attempts to learn a configuration of points in target space which preserves the inter-point distance between the corresponding points in source space
MDS only needs to know distance matrix ∆N×N which comes from a matrix X of N data points without requiring any information on dimensionality and distance metric in source space
MDS formulation
MDS formulation
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Classical MDS (cMDS)
MDS Extensions
Limitation
- non linear manifolds