Module 2: Distances
  Lecture 7: Earth Mover's Distance (EMD)
 

                                            

 

Earth mover's distance (EMD)
  • Distance function that takes into account both
 
  • Feature value
 
  • Feature location
  • Useful for images, trees, music, shapes, etc.
  • Considers each feature value as "mass" in that spatial location
  • EMD tries to find out minimum "work" done in transforming object to object
 
  • Moving 1 unit of mass through 1 unit of distance is equivalent to performing 1 unit of work
  • Concept of ground distance from each feature location of object to each feature location of object
 
  • Matrix of size
 
  • m and n are number of features (or regions from where features are calculated from) in object and object respectively