Module 6: Dimensionality Reduction
  Lecture 30: Principal Component Analysis (PCA)
 

                                            

 

 

Principal Component Analysis (PCA)
  • Way of identifying patterns in data
 
  • How input basis vectors are correlated for the given data
  • A transformation from a set of (possibly correlated) axes to another set of uncorrelated axes
  • Orthogonal linear transformation (i.e., rotation)
  • New axes are principal components
  • First principal component produces projections that are best in the squared error sense
  • Optimal least squares solution