A coordinate-free variational formulation derives Euler-Lagrange equations for optimal Euclidean embedding from local distance graphs, solved iteratively as sparse linear systems.
Neural operator: learning maps between function spaces with applications to pdes.Journal of Machine Learning Research, 24(1)
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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.