Equilibrium Distributions for t-distributed Stochastic Neighbour Embedding
Probability
2023-04-18 v2
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.
Cite
@article{arxiv.2304.03727,
title = {Equilibrium Distributions for t-distributed Stochastic Neighbour Embedding},
author = {Antonio Auffinger and Daniel Fletcher},
journal= {arXiv preprint arXiv:2304.03727},
year = {2023}
}
Comments
27 pages, 1 figure