Answers.Body: <p>You just to look at the <a href="https://en.wikipedia.org/wiki/T-distributed_stochastic_neighbor_embedding" rel="nofollow noreferrer">method of T-SNE</a>. It &quot;computes probabilities <span class="math-container">$p_{ij}$</span> that are proportional to the similarity of objects <span class="math-container">${x} _{i}$</span> and <span class="math-container">${x} _{j}$</span>&quot;. This means the same as the sentence that you have already quoted:</p>
  <blockquote>
  <p>t-SNE (t-distributed Stochastic Neighbor Embedding) <strong>preserves embedding orders via probability distributions</strong>, whereas triplet loss works directly on embedded distances.</p>
  </blockquote>
  
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2021-05-08T22:52:00.483Z
Answers.LastActivityDate: 2021-05-08T22:52:00.483Z
Answers.UserDisplayName: OmG
Body: <p>According to <a href="https://en.wikipedia.org/wiki/Triplet_loss" rel="nofollow noreferrer">the triplet loss Wikipedia page</a>:</p>
  <blockquote>
  <p>t-SNE (t-distributed Stochastic Neighbor Embedding) preserves embedding orders via probability distributions, whereas triplet loss works directly on embedded distances.</p>
  </blockquote>
  <p>I don't understand how does t-SNE preserves embedding order from the description given by its Wikipedia page.</p>
  <p>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.</p>
  
Tags: <dimensionality-reduction><embeddings><dimensionality>
Title: How does t-SNE preserves embedding orders?
UserDisplayName: Revolucion for Monica
ThreadText: # How does t-SNE preserves embedding orders?
  
  (Asked by: username_0 on 2021-05-08)
  
  According to [the triplet loss Wikipedia page](https://en.wikipedia.org/wiki/Triplet_loss):
  
  > t-SNE (t-distributed Stochastic Neighbor Embedding) preserves embedding orders via probability distributions, whereas triplet loss works directly on embedded distances.
  
  I 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.
  
  **Tags:** dimensionality-reduction, embeddings, dimensionality
  
  
  ---
  
  ## 1 answers
  
  ### Answer by username_1 on 2021-05-08. Score: 0
  
  You just to look at the [method of T-SNE](https://en.wikipedia.org/wiki/T-distributed_stochastic_neighbor_embedding). It "computes probabilities $p\_{ij}$ that are proportional to the similarity of objects ${x} \_{i}$ and ${x} \_{j}$". This means the same as the sentence that you have already quoted:
  
  > t-SNE (t-distributed Stochastic Neighbor Embedding) **preserves embedding orders via probability distributions**, whereas triplet loss works directly on embedded distances.
  
  
  ---
  
  