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boolean-analysis.blogspot.com

18-859S: Analysis of Boolean Functions

The course blog for <a href="http://www.cs.cmu.edu/~odonnell/boolean-analysis/">Carnegie Mellon Computer Science course 18-859S</a>, offered in Spring 2007 with instructor Ryan O'Donnell.

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18-859S: Analysis of Boolean Functions | boolean-analysis.blogspot.com Reviews
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The course blog for &lt;a href=&quot;http://www.cs.cmu.edu/~odonnell/boolean-analysis/&quot;&gt;Carnegie Mellon Computer Science course 18-859S&lt;/a&gt;, offered in Spring 2007 with instructor Ryan O&#39;Donnell.
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4 8 comments
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6 3 comments
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18-859S: Analysis of Boolean Functions | boolean-analysis.blogspot.com Reviews

https://boolean-analysis.blogspot.com

The course blog for &lt;a href=&quot;http://www.cs.cmu.edu/~odonnell/boolean-analysis/&quot;&gt;Carnegie Mellon Computer Science course 18-859S&lt;/a&gt;, offered in Spring 2007 with instructor Ryan O&#39;Donnell.

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1

18-859S: Analysis of Boolean Functions: Homework #4

http://boolean-analysis.blogspot.com/2007/03/homework-4.html

18-859S: Analysis of Boolean Functions. The course blog for Carnegie Mellon Computer Science course 18-859S. Offered in Spring 2007 with instructor Ryan O'Donnell. Wednesday, March 21, 2007. No time like the present to get started on Homework #4. Post comments/questions here. On question 3a, I assume S should be in F 2 n rather than F 2 k? Aaron: Yes, correct. Thanks, will fix. I'm entertaining hint requests. Subscribe to: Post Comments (Atom). View my complete profile. Ben Green and Terry Tao.

2

18-859S: Analysis of Boolean Functions: Homework #5 & Talagrand

http://boolean-analysis.blogspot.com/2007/04/homework-5-talagrand.html

18-859S: Analysis of Boolean Functions. The course blog for Carnegie Mellon Computer Science course 18-859S. Offered in Spring 2007 with instructor Ryan O'Donnell. Wednesday, April 25, 2007. Homework #5 and Talagrand. Regarding Question #2: I referred to this as "Talagrand's Lemma", and that's how I personally think of it, having learned it first as Proposition 2.2 in Michel Talagrand's ingenious paper How much are increasing sets positively correlated? Subscribe to: Post Comments (Atom).

3

18-859S: Analysis of Boolean Functions: Ben Green and Terry Tao

http://boolean-analysis.blogspot.com/2007/03/ben-green-and-terry-tao_27.html

18-859S: Analysis of Boolean Functions. The course blog for Carnegie Mellon Computer Science course 18-859S. Offered in Spring 2007 with instructor Ryan O'Donnell. Tuesday, March 27, 2007. Ben Green and Terry Tao. Seems like Ben Green and (Fields Medalist) Terry Tao are into the analysis of boolean functions more and more these days. Check out Terry's recent blog post. On Freiman's theorem in $ mathbb{F} 2 n$, AKA $ {-1,1 } n$, and Ben's earlier guest post. If only I understood them. Homework #4 is out.

4

18-859S: Analysis of Boolean Functions: Approximating not-nice functions by nice functions

http://boolean-analysis.blogspot.com/2007/04/approximating-not-nice-functions-by.html

18-859S: Analysis of Boolean Functions. The course blog for Carnegie Mellon Computer Science course 18-859S. Offered in Spring 2007 with instructor Ryan O'Donnell. Wednesday, April 04, 2007. Approximating not-nice functions by nice functions. F' (x) cdots frac{ epsilon {r-1} {(r-1)! F {(r-1)}(x) epsilon {r-1} frac{ epsilon r}{r! F {(r)}(y)$ for some $y in [x, x epsilon]$. For a concrete example, consider the function $ phi(t)$ which is $ exp(-1/(1-t 2) $ for $ t 1$, and is $0$ for $ t geq 1$. It's ea...

5

18-859S: Analysis of Boolean Functions: How much are increasing sets positively correlated?

http://boolean-analysis.blogspot.com/2007/03/how-much-are-increasing-sets-positively.html

18-859S: Analysis of Boolean Functions. The course blog for Carnegie Mellon Computer Science course 18-859S. Offered in Spring 2007 with instructor Ryan O'Donnell. Friday, March 23, 2007. How much are increasing sets positively correlated? There's a paper of Talagrand, one of the masters of Fourier analysis of boolean functions, called " How much are increasing sets positively correlated? It proves some nice facts, including:. Actually, this last function, one can check, gives an example of a monotone fu...

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