Exercices

From Concentration inequalities

Lecture 1 (variance)

  • 3.6
  • 3.7
  • 3.20
  • 3.21 and 3.23
  • 3.24

Lecture 2 (exponential inequalities)

  • 3.6
  • 3.7
  • 3.20
  • 3.21 and 3.23
  • 3.24

Lecture 3 (information inequalities and concentration)

  • 6.1
  • 6.5
  • 6.6
  • 6.7
  • 6.9

Lecture 4 (concentration, log-Sobolev inequalities and hypercontractivity)

  • 5.2
  • 5.6
  • 5.8
  • 5.13
  • 5.15

Lecture 5 (more on the entropy method, exponential Efron-Stein-Steele inequalities with discussion)

  • 12.11
  • 12.12
  • 11.2
  • 11.5
  • 11.20

Lecture 6 (Concentration, isoperimetry, influences)

  • 4.6
  • 4.7
  • 4.19

Lecture 7 (Transportation)

  • 8.1
  • 8.4
  • 8.5