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