T-distributed stochastic neighbor embedding: Difference between revisions

Content deleted Content added
Tchanders (talk | contribs)
m Grammatical correction
Remove spurious "CITATION" author self-reminder
Line 20:
<math>q_{ij} = \frac{(1 + \lVert \mathbf{y}_i - \mathbf{y}_j\rVert^2)^{-1}}{\sum_{k \neq l} (1 + \lVert \mathbf{y}_k - \mathbf{y}_l\rVert^2)^{-1}}</math>
 
Herein a heavy-tailed [[Student-t distribution]] is used to measure similarities between low-dimensional points in order to allow dissimilar objects to be modeled far apart in the map CITATION.
 
The locations of the points <math>\mathbf{y}_i</math> in the map are determined by minimizing the (non-symmetric) [[Kullback–Leibler divergence]] of the distribution <math>Q</math> from the distribution <math>P</math>, that is: