Approximate schedule:
Approximate homework schedule (subject to change):
Week | Lecture | Recitation and Problem Solving Practice |
---|---|---|
1 | Introduction | Variation distance |
1-2 | Linearity of expectation | Sum-Free subsets |
2-3 | Alterations | Derandomization using the method of conditional expectations |
3-4 | The isolating lemma | Derandomization using the method of limited independence |
5 | The second moment method | Applications of the second moment method |
6 | Large deviation inequalities | Large deviations in "rare" variables, multiplicative Chernoff bounds |
6-7 | Martingales | Additional martingale examples, the Poisson paradigm |
8-9 | The Lovász local lemma | A constructive proof of the local lemma |
10 | Correlation inequalities | Additional correlation inequalities, lower bound in Janson's inequality |
11-12 | Entropy | Shearer's inequality, applications |
13 | Introduction to random walks | Complementary material |
Assignment | Release date | Due date |
---|---|---|
HW1 | 24.10 | 18.11 |
HW2 | 21.11 | 23.12 |
HW3 | 26.12 | 27.1 |
HW4 | 30.1 | 10.3 |