10-601 Matrix Factorization

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

Slides

Readings

Matrix factorization and collaborative filtering is not covered in Murphy or Mitchell. Some external readings are below.

  • Koren, Yehuda, Robert Bell, and Chris Volinsky. "Matrix factorization techniques for recommender systems." Computer 8 (2009): 30-37.
  • There's a nice description of the gradient-based approach to MF, and a scheme for parallelizing it,by Gemulla et al.

Summary

You should know:

  • What loss function and constraints are associated with PCA - i.e., what the "PCA optimization 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.