Module 6: Dimensionality Reduction
  Lecture 31: FastMap
 

                                            

 

 

Axis with largest range
  • Find objects ( pivots ) whose distance is the largest
  • Use the line joining them as an approximation for the axis with largest range
 
  • Corresponds to diameter of the dataset
  • Choosing pivots
 
  • Cannot look at all distances, where m is the number of points in the dataset
  • Randomly grab a point, say
  • Find which is at the largest distance from
  • Now, again find which is at the largest distance from
  • Repeat until convergence or for a fixed number of steps
  • Analysis
 
  • Convergence guaranteed only after steps
 
  • May not find the object pair with largest distance
 
  • Running time is for fixed number of steps