Analysis of Boolean Functions

by Ryan O'Donnell

23 video lectures from a Fall 2012 course at Carnegie Mellon
Order the book from Cambridge University Press
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Contents

Book (98)
- All chapter sections (59)
- Chapter 01: Boolean functions and the Fourier expansion (8)
- Chapter 02: Basic concepts and social choice (9)
- Chapter 03: Spectral structure and learning (8)
- Chapter 04: DNF formulas and small-depth circuits (8)
- Chapter 05: Majority and threshold functions (9)
- Chapter 06: Pseudorandomness and ${\mathbb F}_2$-polynomials (8)
- Chapter 07: Property testing, PCPPs, and CSPs (7)
- Chapter 08: Generalized domains (10)
- Chapter 09: Basics of hypercontractivity (9)
- Chapter 10: Advanced hypercontractivity (8)
- Chapter 11: Gaussian space and Invariance Principles (11)
- Chapter notes (11)
- Chapter overview (11)
- Deleted scenes (1)
- Exercises (15)
- Some tips (1)
CMU Online Course (23)
Simons Symposium (16)
Uncategorized (11)

Notation

Here is a pdf link to the notation used in the book.

Other Courses

Dinur & Friedgut @ Hebrew U
Hatami @ McGill
Kindler @ Weizmann
Mossel @ Berkeley
O'Donnell @ CMU
Regev @ ENS
Sanders @ Cambridge
van Melkebeek @ Wisconsin

Recent comments

Ohad Klein: Are the indexing in (the start of) 7 OK?
Ohad Klein: "learning algorithm running in time in time"
Amir: In the proof of Theorem 16, and in the equation immediately ...
Ohad Klein: In example 6, should "of codimension less than n" be "of pos...
Ohad Klein: In 15c (18c in the book), I think it should be $\cap_j{V_j}$...
Ohad Klein: Bracket typo: In the proof of thm 10 (12 in the book), $sgn(...
Ohad Klein: Oops, my bad.

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