Class: Tuesdays and Thursdays 9-10:30am, Annenberg 243.
Recitation: Mondays 11am - 12pm, Annenberg 314.
January 5th | Streaming algorithms and basic probabilistic inequalities. | Notes |
January 10th | The Chernoff bound and amplification via median-of-means. | |
January 12th | Applications of the Chernoff bound: the power of two choices; the Johnson-Lindenstrauss lemma. | |
January 12th | Recitation: Streaming algorithms. | |
January 17th | Online learning and the multiplicative weights algorithm. | |
January 19th | Applications of the multiplicative weights algorithm. | |
January 23rd | Recitation: review of linear programming and duality. | |
January 24th | Semidefinite programs. | |
January 26th | The matrix multiplicative weights update algorithm. | |
January 30th | Recitation: The Lovasz theta number | |
January 31st | Solving SDPs using matrix multiplicative weights | |
Ferbuary 2nd | Rounding the SDP relaxation for MAXQP | |
February 3rd | Recitation: Goemans-Williamson rounding for MAXCUT | |
Ferbuary 7th | Spectral graph theory: spectrum of the Laplacian | |
Ferbuary 9th | Proof of Cheeger's inequality; Random walks on graphs | |
February 10th | Recitation | |
Ferbuary 14th | Estimating the volume of a convex body | |
Ferbuary 16th | ||
February 17th | Recitation | |
Ferbuary 21st | ||
Ferbuary 23rd | ||
February 24th | Recitation | |
Ferbuary 28th | ||
March 2nd | ||
March 3rd | Recitation | |
March 7th | ||
March 9th |