• Corpus ID: 236950661

Localization in 1D non-parametric latent space models from pairwise affinities

  title={Localization in 1D non-parametric latent space models from pairwise affinities},
  author={Christophe Giraud and Yann Issartel and Nicolas Verzelen},
We consider the problem of estimating latent positions in a one-dimensional torus from pairwise affinities. The observed affinity between a pair of items is modeled as a noisy observation of a function f(xi , x ∗ j ) of the latent positions x ∗ i , x ∗ j of the two items on the torus. The affinity function f is unknown, and it is only assumed to fulfill some shape constraints ensuring that f(x, y) is large when the distance between x and y is small, and vice-versa. This non-parametric modeling… 

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