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General |
MATH 858R / AMSC 808R , Spring 2015 Notes and Summary
| Lecture | Date | What was covered | Notes |
| 1 | Jan. 27 | Introduction; Metric spaces | get assignment 1 |
| 2 | Jan. 29 | Completion of Metric Spaces | |
| 3 | Feb. 3 | Banach Spaces; Examples | turn in assignment 1 |
| 4 | Feb. 5 | Operator Norms | |
| 5 | Feb. 10 | Hilbert spaces; Examples | |
| 6 | Feb. 12 | Frame Analysis for Hilbert spaces | |
| 7 | Feb. 17 | - | university closed due to snow |
| 8 | Feb. 19. | FFT Conference | |
| 9 | Feb. 24 | Uniformly convex Banach spaces; Hanner inequalities; projection onto closed convex sets |
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| 10 | Feb. 26 | - | university closed due to snow |
| 11 | Mar. 3 | Convex analysis in Hilbert spaces; Convex optimizations: primal and dual problems | |
| 12 | Mar. 5 | university closed due to snow | |
| 13 | Mar. 10 | LMI Optimization problems | |
| 14 | Mar. 12 | Operator norm computations via SDP | |
| - | Mar.17 | SPRING BREAK |
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| - | Mar. 19 | SPRING BREAK | |
| 15 | Mar. 24 | Compressive Sampling: Uniqueness of the solution of the (P0) problem | |
| 16 | Mar. 26 | NSP: Uniqueness to (P1) and (P0)-(P1) | |
| 17 | Mar.31 | NO CLASS | - |
| 18 | Apr. 2 | NO CLASS |
- |
| 19 | Apr. 7 | RIP: \delta_2s<1 and \delta_2s<\sqrt 2 -1 | |
| 20 | Apr. 9 | Probabilistic Matrices, Concentration of Measure | |
| 21 | Apr. 14 | Probabilistic Matrices (2) | |
| 22 | Apr. 16 | Discrete Uncertainty Principle | |
| 16 | Apr. 16 | Uncertainty Principle - Consequences | Make-up class at 3:30pm in MATH 2300 |
| 23 | Apr. 21 | Fourier transform | |
| 24 | Apr. 23 | Uncertainty Principle & CRLB | |
| 25 | Apr. 28 | Windowed Fourier transform | |
| 26 | Apr 30 | Continuous Wavelet Transform; Reproducing Kernel Hilbert Space | |
| 27 | May. 5 | ||
| 28 | May. 7 | HW #3 Due | |
| 29 | May. 12 | Projects/Reports Submission Deadline; Final Exam |
FINAL EXAM |
