Lecture |
Topic |
Suggested readings/references |
|
1 (9/6) |
Introduction, course objectives, NP-hardness and approximation |
Revise chapters 1-8 from Kleinberg and Tardos; lecture notes
|
2 (9/8) |
Greedy based approximations (vertex cover; set cover) |
lecture notes
|
3 (9/13) |
Set cover contd. |
set cover lecture notes
|
4 (9/15) |
DP-based approximations (Knapsack) |
knapsack lecture notes
|
5 (9/20) |
Random variables and events; Karger's min-cut algorithm |
lecture notes |
6 (9/22) |
Random variables and events; Coupon Collector's problem |
Revise sections 13.2 and 13.3 from Kleinberg and Tardos |
7 (9/27) |
Lecture cancelled |
|
8 (9/29) |
Linear programming, and LP relaxations |
lecture notes |
9 (10/04) |
LP rounding |
lecture notes |
10 (10/06) |
Randomized rounding |
lecture notes |
11 (10/11) |
Concentration bounds |
lecture notes here and here |
12 (10/13) |
Proof of the Chernoff bound and applications |
lecture notes |
13 (10/18) |
Streaming algorithms: Flajolet Martin |
Charikar's notes, Chakrabarti's notes |
14 (10/20) |
Streaming algorithms: Alon-Matias-Szegedy sketch |
Chekuri's notes, McGregor's slides |
15 (10/25) |
Dimension reduction |
Harvey's notes, Chapter 1 in this book |
16 (10/27) |
Johnson-Lindenstrauss Lemma |
Harvey's notes, Chapter 1 in this book |
17 (11/1) |
JL Lemma contd., Singular Value Decomposition |
Chapters 1, 2 in this book |
18 (11/3) |
No lecture |
|
19 (11/8) |
Singular Value Decomposition |
Chapter 2 in this book |
20 (11/10) |
Online algorithms |
lecture notes |
21 (11/15) |
Graph sparsification |
Harvey's lecture notes |
22 (11/17) |
Online algorithms |
lecture notes |
23 (11/22) |
Online prediction: weighted majority algorithm, Hedge algorithm |
Kleinberg's notes |
24 (11/29) |
Online prediction: multi-armed bandits |
Kleinberg's notes |
25 (12/01) |
LP duality |
lecture notes |
26 (12/06) |
Primal-dual algorithms |
lecture notes |
27 (12/08) |
Online matching |
Kleinberg's notes |
28 (12/13) |
PAC learning, Occam's razor, boosting |
Notes here and here |