Class: Tuesdays and Thursdays 1-2:30pm, Annenberg 105.
Recitation: TBD.
January 5th | Probabilistic inequalities and application to streaming algorithms. | |
January 7th | Chernoff bound; the power of two choices. | |
January 8th | Recitation: Bernstein and other concentration inequalities | |
January 12th | No class (Thomas away). Will find makeup date. | |
January 14th | No class (Thomas away). Will find makeup date. | |
January 8th | Recitation: Estimating higher frequency moments in the data stream model | |
January 19th | The experts/multiplicative weights algorithm and its analysis | |
January 21st | Applications of the experts algorithm | |
January 22nd | Recitation: Review of linear programming and duality. | |
January 26th | Semidefinite programming | |
January 28th | Solving SDPs using multiplicative weights | |
January 29th | Recitation: Applications of semidefinite programming in optimization. | |
February 2nd | Fast approximation algorithms for MAXCUT and MAXQP | |
February 4th | Dimension reduction | |
February 5th | Fast Johnson-Lindenstrauss and applications | |
February 9th | Spectral methods: graph properties from the adjacency matrix | |
February 11th | Random walks on graphs | |
February 12th | Recitation: The spectra of random graphs. | |
February 16th | Volume estimation | |
February 18th | Expanders and derandomization | |
February 23rd | Solving linear systems of equations | |
January 25th | Solving Laplacian systems | |
January 26th | Recitation: Derandomization via the method of conditional expectations. | |
March 1st | Spectral sparsifiers | |
March 3rd | PAC learning | |
March 8th | Analysis of Boolean functions |