A coordinate-free variational formulation derives Euler-Lagrange equations for optimal Euclidean embedding from local distance graphs, solved iteratively as sparse linear systems.
Principal manifolds and nonlinear dimensionality reduction via tangent space alignment.SIAM Journal on Scientific Computing, 26(1):313–338
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Euclidean Embedding of Data Using Local Distances
A coordinate-free variational formulation derives Euler-Lagrange equations for optimal Euclidean embedding from local distance graphs, solved iteratively as sparse linear systems.