Equilibrium Distributions for t-distributed Stochastic Neighbour Embedding

Antonio Auffinger; Daniel Fletcher

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arXiv · 2304.03727

Equilibrium Distributions for t-distributed Stochastic Neighbour Embedding

Antonio Auffinger·Daniel Fletcher

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Abstract

We study the empirical measure of the output of the t-distributed stochastic neighbour embedding algorithm when the initial data is given by n independent, identically distributed inputs. We prove that under certain assumptions on the distribution of the inputs, this sequence of measures converges to an equilibrium distribution, which is described as a solution of a variational problem.

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BibTeX RIS

Antonio Auffinger, Daniel Fletcher. 2023-04-07. Equilibrium Distributions for t-distributed Stochastic Neighbour Embedding. https://arxiv.org/abs/2304.03727

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