We describe a probabilistic approach to the task of embedding highdimensional objects into a low-dimensional space in a way that preserves neighbor identities. A Gaussian is centered on each object in the highdimensional space and the densities under this Gaussian are used to define a probability distribution over all the potential neighbors of the object.
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Nonlinear Dimensionality Reduction by Locally Linear Embedding
Sam T. Roweis, Lawrence K. Saul · Science · 2000 · 14.9K citations
A Global Geometric Framework for Nonlinear Dimensionality Reduction
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