Difference between revisions of "10-601 PCA"

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=== Readings ===
 
=== Readings ===
  
 
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* Murphy Chap 12. PCA is not covered in Mitchell. 
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* There are also some [http://www.cs.cmu.edu/~wcohen/10-601/PCA-notes/pca.pdf notes on PCA/SVD] that I've written up.
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* There's a nice description of [http://people.mpi-inf.mpg.de/~rgemulla/publications/rj10481rev.pdf the gradient-based approach to MF], and a scheme for parallelizing it,by Gemulla et al.
  
 
===  Summary  ===
 
===  Summary  ===
  
 
You should know:
 
You should know:
 +
* What PCA is, and how it relates to matrix factorization.
 +
* What loss function and constraints are associated with PCA - i.e., what the "PCA Problem" is.
 +
* How to interpret the low-dimensional embedding of instances, and the "prototypes" produced by PCA and MF techniques.
 +
** How to interpret the prototypes in the case of dimension reduction for images.
 +
** How to interpret the prototypes in the case of collaborative filtering, and completion of a ratings matrix.
 +
* How PCA and MF relate to k-means and and EM.

Latest revision as of 14:29, 21 April 2016

This a lecture used in the Syllabus for Machine Learning 10-601B in Spring 2016

Slides

Readings

Summary

You should know:

  • What PCA is, and how it relates to matrix factorization.
  • What loss function and constraints are associated with PCA - i.e., what the "PCA Problem" is.
  • How to interpret the low-dimensional embedding of instances, and the "prototypes" produced by PCA and MF techniques.
    • How to interpret the prototypes in the case of dimension reduction for images.
    • How to interpret the prototypes in the case of collaborative filtering, and completion of a ratings matrix.
  • How PCA and MF relate to k-means and and EM.