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According to the triplet loss Wikipedia page:

t-SNE (t-distributed Stochastic Neighbor Embedding) preserves embedding orders via probability distributions, whereas triplet loss works directly on embedded distances.

From the Wikipedia page, I more or less understand how does T-SNE works with its two stages (first creating a probability distribution between pairs of objects of high dimensions, minimizing some divergence between some distributions), but I clearly don't understand how does t-SNE preserves embedding order from the description given by its Wikipedia page.

I am trying to understand this claim in order to translate the page into other languages. I don't have a very quick understanding of maths, don't be afraid to explain it as if I was a teenager.

  • What does it mean to "preserve embedding order"? I know the quote uses that language, but it seems a bit ambiguous to me. Could you say more specifically what t-SNE does that you'd like an explanation for? – user20160 May 08 '21 at 13:45
  • I'm not sure, @user20160, but I assume that to preserve embedding order means to conserve which pairs of objects it has calculated the probability distribution of? – Revolucion for Monica May 08 '21 at 18:47

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