SILO 12.13

Matrix Completion

Rob

推荐系统中的非线性

dependency是非线性

Low-Rank Matrix Completion (LRMC)

subspace clustering, Ehsan Elhanmifar, Rene Vidal, CVPR 2009

Subspace Clustering with Missing Data (SCMD)

  • 需要知道有几个subspace进行clustering
  • 需要知道每一个cluster的rank

Generalized principal component analysis (FPCA) 2005, Rene, Yi Ma

quadratic表达方式的rank对于algebraic structure非常敏感

Low Algebraic Dimension Matrix Completion

ICML 2017

Appendix

可以考虑时序上的推荐系统

考虑新的操作,不止matrix sum,而是考虑到乘法

$$x_1^2 , x_1 \times x_2, x_2^2$$能分辨出rank为2,或者定义一种新的rank?类似division rank

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