Stochastic Neighbor Embedding with Gaussian and Student-t Distributions: Tutorial and Survey

Benyamin Ghojogh; Ali Ghodsi; Fakhri Karray; Mark Crowley

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arXiv · 2009.10301

Stochastic Neighbor Embedding with Gaussian and Student-t Distributions: Tutorial and Survey

Benyamin Ghojogh·Ali Ghodsi·Fakhri Karray·Mark Crowley

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Abstract

Stochastic Neighbor Embedding (SNE) is a manifold learning and dimensionality reduction method with a probabilistic approach. In SNE, every point is consider to be the neighbor of all other points with some probability and this probability is tried to be preserved in the embedding space. SNE considers Gaussian distribution for the probability in both the input and embedding spaces. However, t-SNE uses the Student-t and Gaussian distributions in these spaces, respectively. In this tutorial and survey paper, we explain SNE, symmetric SNE, t-SNE (or Cauchy-SNE), and t-SNE with general degrees of freedom. We also cover the out-of-sample extension and acceleration for these methods.

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BibTeX RIS

Benyamin Ghojogh, Ali Ghodsi, Fakhri Karray, Mark Crowley. 2020-09-22. Stochastic Neighbor Embedding with Gaussian and Student-t Distributions: Tutorial and Survey. https://arxiv.org/abs/2009.10301

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