Site menu:

Lecture notes

Notes will usually be posted before lecture.

All notes typeset in one file by Felix Zhou (2020)! [pdf]
Some notes for linear algebra background (read Section 2.1) [pdf]
Lecture 1 (May 11): Introduction [pdf]
  • course introduction
  • minimum cuts
Lecture 2 (May 13): Isolating cuts [pdf]
  • minimum Steiner cuts
Lecture 3 (May 20): Concentration inequalities [pdf]
  • Markov, Chebyshev, Chernoff
Lecture 4 (May 25): Applications of concentration inequalities [pdf]
  • graph sparsification, dimension reduction
Lecture 5 (May 27): Hashing [pdf]
  • k-wise independence, universal hash functions
Lecture 6 (June 1): Data streaming [pdf]
  • heavy hitters, distinct elements, frequency moments