Module 6: Dimensionality Reduction
  Lecture 32: Embedding
 

                                            

 

 

SparseMap
  • LLR embedding is still impractical
  • For large databases, , are very large
  • Dimensionality of embedded space is large
  • For large sized , time to determine the corresponding dimension by computing is large
  • SparseMap proposes two practical heuristics
  • Compute by considering some (and not all)
 
  • This is a way to avoid computing all distances
 
  • is an upper bound of
  • Reduce dimensionality by retaining some (and not all)
 
  • Greedy resampling: Delete 's that contributes largest to stress
 
  • Sample only some object pairs when computing stress
  • Not contractive any more