| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | mod01lec01 Why study concentration inequalities? | Download |
| 2 | mod01lec02 Chernoff bound | Download |
| 3 | mod01lec03 Examples of Chernoff bound for common distributions | Download |
| 4 | mod02lec04 Hoeffding and Bernstein inequalities | Download |
| 5 | mod02lec05 Azuma and McDiarmid inequalities | Download |
| 6 | mod03lec06 Bounding variance using the Efron-Stein inequality | Download |
| 7 | mod03lec07 The Gaussian-Poincare inequality | Download |
| 8 | mod03lec08 Tail bounds using the Efron-Stein inequality | Download |
| 9 | mod04lec09 Herbst's argument and the entropy method | Download |
| 10 | mod04lec10 Log-Sobolev inequalities | Download |
| 11 | mod04lec11 Binary and Gaussian Log-Sobolev inequalities and concentration | Download |
| 12 | mod05lec12 Variational formulae forKullback-Leibler and Bregman Divergence | Download |
| 13 | mod05lec13 A modified log-Sobolev inequality and concentration | Download |
| 14 | mod05lec14 Introduction to the transportation method for showing concentration bounds | Download |
| 15 | mod05lec15 Transportationlemma and a proof of McDiarmid's inequality using the transportation method | Download |
| 16 | mod06lec16 Concentration bounds for functions beyond bounded difference using transportation method | Download |
| 17 | mod06lec17 Marton's conditional transportation cost inequality | Download |
| 18 | mod06lec18 Isoperimetry and concentration of measure | Download |
| 19 | mod06lec19 Isoperimetry and bounded difference | Download |
| 20 | mod07lec20 Equivalence of Stam's inequality and log Sobolev inequality | Download |
| 21 | mod07lec21 An information theoretic proof of log Sobolev inequality | Download |
| 22 | mod07lec22 Hypercontractivity and strong data processing inequality for Rényi divergence | Download |
| 23 | mod07lec23 An information theoretic characterization of hypercontractivity | Download |
| 24 | mod07lec24 Equivalence of Gaussian hypercontractivity and Gaussian log Sobolev inequality | Download |
| 25 | mod08lec25 Uniform deviation bounds for random walks and the law of the iterated logarithm | Download |
| 26 | mod08lec26 Self normalized concentration inequalities and application to online regression | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | mod01lec01 Why study concentration inequalities? | Download Verified |
| 2 | mod01lec02 Chernoff bound | Download Verified |
| 3 | mod01lec03 Examples of Chernoff bound for common distributions | Download Verified |
| 4 | mod02lec04 Hoeffding and Bernstein inequalities | Download Verified |
| 5 | mod02lec05 Azuma and McDiarmid inequalities | Download Verified |
| 6 | mod03lec06 Bounding variance using the Efron-Stein inequality | Download Verified |
| 7 | mod03lec07 The Gaussian-Poincare inequality | Download Verified |
| 8 | mod03lec08 Tail bounds using the Efron-Stein inequality | Download Verified |
| 9 | mod04lec09 Herbst's argument and the entropy method | Download Verified |
| 10 | mod04lec10 Log-Sobolev inequalities | Download Verified |
| 11 | mod04lec11 Binary and Gaussian Log-Sobolev inequalities and concentration | Download Verified |
| 12 | mod05lec12 Variational formulae forKullback-Leibler and Bregman Divergence | Download Verified |
| 13 | mod05lec13 A modified log-Sobolev inequality and concentration | Download Verified |
| 14 | mod05lec14 Introduction to the transportation method for showing concentration bounds | Download Verified |
| 15 | mod05lec15 Transportationlemma and a proof of McDiarmid's inequality using the transportation method | Download Verified |
| 16 | mod06lec16 Concentration bounds for functions beyond bounded difference using transportation method | Download Verified |
| 17 | mod06lec17 Marton's conditional transportation cost inequality | Download Verified |
| 18 | mod06lec18 Isoperimetry and concentration of measure | Download Verified |
| 19 | mod06lec19 Isoperimetry and bounded difference | Download Verified |
| 20 | mod07lec20 Equivalence of Stam's inequality and log Sobolev inequality | Download Verified |
| 21 | mod07lec21 An information theoretic proof of log Sobolev inequality | Download Verified |
| 22 | mod07lec22 Hypercontractivity and strong data processing inequality for Rényi divergence | Download Verified |
| 23 | mod07lec23 An information theoretic characterization of hypercontractivity | Download Verified |
| 24 | mod07lec24 Equivalence of Gaussian hypercontractivity and Gaussian log Sobolev inequality | Download Verified |
| 25 | mod08lec25 Uniform deviation bounds for random walks and the law of the iterated logarithm | Download Verified |
| 26 | mod08lec26 Self normalized concentration inequalities and application to online regression | Download Verified |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Not Available |
| 2 | Bengali | Not Available |
| 3 | Gujarati | Not Available |
| 4 | Hindi | Not Available |
| 5 | Kannada | Not Available |
| 6 | Malayalam | Not Available |
| 7 | Marathi | Not Available |
| 8 | Tamil | Not Available |
| 9 | Telugu | Not Available |