Finding Low-Rank Matrices - From Matrix Completion to Recent Trends

Finding Low-Rank Matrices - From Matrix Completion to Recent Trends

Simons Institute via YouTube Direct link

Sparse phase retrieval

5 of 23

5 of 23

Sparse phase retrieval

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Finding Low-Rank Matrices - From Matrix Completion to Recent Trends

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  1. 1 Intro
  2. 2 Recovery/estimation and hidden structure
  3. 3 Structure and randomness
  4. 4 Recommendation problem
  5. 5 Sparse phase retrieval
  6. 6 How can it work?
  7. 7 Restricted Isometry Property
  8. 8 Random matrix theory
  9. 9 Signal recovery
  10. 10 A simple 2D view
  11. 11 Meanings of rank
  12. 12 Low-rank geometry
  13. 13 Nuclear norm recovery
  14. 14 Aside: Matrix recovery algorithms
  15. 15 Nuclear norm works
  16. 16 Matrix completion
  17. 17 Matrix decomposition or demixing
  18. 18 When does it work?
  19. 19 General atomic norms
  20. 20 Pareto optimal front
  21. 21 A statistical error measure
  22. 22 Lower bound on MSE risk
  23. 23 Discussion

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