Date |
Topic |
Slides |
Handout |
Reference |
Scribe Notes |
03/31/20 |
Linearity of expectation, Randomized quicksort, Karger's mincut |
lec1 |
Youtube |
MR 1, MU 2.11, 2.5 |
Vishal's notes |
04/02/20 |
The Hoeffding bound, implications for population estimation and binomial parameter estimation |
lec2 |
Youtube |
MR 3 |
Basu's notes |
04/07/20 |
Chernoff bound to Poisson tails, high probability bounds for Randomized quicksort, the median estimation
|
lec3 |
Youtube |
MR 3 |
Ross's notes |
04/09/20 |
Importance sampling: Karp-Luby |
lec4 |
Youtube |
MU 11-11.2 |
Zehui's notes |
04/14/20 |
Importance sampling: geometric random variables, improved Karp-Luby |
lec5 |
Youtube |
|
Yatong's notes |
04/16/20 |
More importance sampling: Cohen-Lewis approximate matrix multiplication, a discussion of generating samples from a distribution |
lec6 |
Youtube |
|
|
04/21/20 |
A showcase of techniques: Estimating the average degree of a graph through random sampling |
lec7-alias lec7-avgdeg |
Youtube-alias Youtube-avg-deg |
|
Jayanth's notes (part 1) Jayanth's notes (part 2) |
04/23/20 |
Dimension reduction and the Johnson-Lindenstrauss lemma |
lec8 |
Youtube |
|
Ross's notes |
04/28/20 |
Understanding the upper tail: moment generating functions, a proof of the Chernoff bound |
lec9 |
Youtube |
MR 4, MU 4 |
Nicolas' notes |
04/30/20 |
Balls and bins |
lec10 |
Youtube |
MU 5 |
Nitin's notes |
05/05/20 |
The Poisson approximation and Poissonization |
lec11 |
Youtube |
MU 5 |
Balaram's notes |
05/07/20 |
Introduction to distribution testing |
lec12 |
Youtube |
Goldreich (Intro to Property Testing), 11 |
05/12/20 |
Uniformity testing |
lec13 |
Youtube |
Goldreich (Intro to Property Testing), 11 |
05/14/20 |
Introduction to streaming algorithms, counting distinct elements |
lec14 |
Youtube |
Amit Chakrabarti's Dartmouth notes |
Yatong's notes |
05/19/20 |
The BJKST algorithm for distinct elements, heavy hitters, and reservoir sampling |
lec15 |
Youtube |
Chap 2 of Amit Chakrabarti's notes |
05/21/20 |
The Count-Min sketch, estimating frequency moments, and AMS second-moment sketch |
lec16 |
Youtube |
Chap 4, 5, 6 of Amit Chakrabarti's notes |
Zehui's notes |
05/26/20 |
The experts problem, the Randomized Weighted Majority algorithm |
lec17 |
Youtube |
Deeparnab's Chakrabarty's Dartmouth notes |
Basu's notes |
05/28/20 |
Follow the Perturbed Leader |
lec18 |
Youtube |
Bobby Kleinberg's Cornell notes Kalai-Vempala |
Nicolas' notes |
06/02/20 |
Lower bounds for regret minimization, Yao's minimax lemma |
lec19 |
Youtube |
|