Module 6: Dimensionality Reduction
  Lecture 32: Embedding
 

                                            

 

 

LLR embedding
  • Linial, London, Rabinovich
  • A variant of Lipschitz embedding
  • Guarantees distortion
  • subsets
  • Each group of subsets is of size where
  • Size of subset is
  • Assume distance function in embedded space is
  • Embedding is
  • With high probability
  • Scaling by is needed to make the embedding contractive