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15-855: Intensive Intro to Computational Complexity

<a href="http://www.cs.cmu.edu/~odonnell/complexity/">http://www.cs.cmu.edu/~odonnell/complexity/</a>

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15-855: Intensive Intro to Computational Complexity | cmu-complexity.blogspot.com Reviews

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15-855: Intensive Intro to Computational Complexity: Lecture 27

http://cmu-complexity.blogspot.com/2009/04/lecture-27.html

15-855: Intensive Intro to Computational Complexity. Http:/ www.cs.cmu.edu/ odonnell/complexity/. Tuesday, April 28, 2009. In this lecture we covered Reingold's Theorem, SL = L; i.e., undirected connectivity can be solved in log space. Here are my abridged notes on actually doing Reingold's algorithm in log-space. It's not a full proof, just a "proof by example" - but I hope it's nevertheless clearer than a hand-wave. For the Martin-Randall Theorem, you can consult the original Martin-Randall paper.

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15-855: Intensive Intro to Computational Complexity: Game theory complexity and computing Nash Equilibrium

http://cmu-complexity.blogspot.com/2009/04/game-theory-complexity-and-computing.html

15-855: Intensive Intro to Computational Complexity. Http:/ www.cs.cmu.edu/ odonnell/complexity/. Thursday, April 30, 2009. Game theory complexity and computing Nash Equilibrium. In 1944 von Neumann and Morgenstern introduced the subject of Game Theory in their book. Theory of Games and Economi. We must first give a definition of what we mea. N by a computable real.  In this analysis, I will use the definition given in . We can do one better by showing that for a limited set of games, given a computable ...

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15-855: Intensive Intro to Computational Complexity: Lecture 25

http://cmu-complexity.blogspot.com/2009/04/lecture-25.html

15-855: Intensive Intro to Computational Complexity. Http:/ www.cs.cmu.edu/ odonnell/complexity/. Tuesday, April 21, 2009. Today Eric gave an introduction to Property Testing. Among other things, we covered the BLR Linearity Test with the Bellare-Coppersmith-Håstad-Kiwi-Sudan proof using Fourier analysis. Note: Only a member of this blog may post a comment. Subscribe to: Post Comments (Atom). Game theory complexity and computing Nash Equilibr. Details for the IKW Theorem.

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15-855: Intensive Intro to Computational Complexity: Easy Witnesses

http://cmu-complexity.blogspot.com/2009/04/easy-witnesses.html

15-855: Intensive Intro to Computational Complexity. Http:/ www.cs.cmu.edu/ odonnell/complexity/. Wednesday, April 15, 2009. While doing the proof of IKW theorem in class, we came across the easy witness. The simulation infinitely often (io). In other words, there is no algorithm of the form $R(1 n) in {0,1 } n$ in this time class such that simulation makes a mistake on input $R(1 n)$ for almost all $n$. At least one of the following holds:. Given such a circuit $C { mathrm{hard} $, we can guess a string...

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15-855: Intensive Intro to Computational Complexity: Lower bounds for locally decodable codes

http://cmu-complexity.blogspot.com/2009/05/lower-bounds-for-locally-decodable.html

15-855: Intensive Intro to Computational Complexity. Http:/ www.cs.cmu.edu/ odonnell/complexity/. Friday, May 1, 2009. Lower bounds for locally decodable codes. In this blog, we will look at upper bounds on the rates of locally decodable codes and their relation to a problem called Private Information Retrieval. Some of the proofs presented here are unique in that they relate the complexity of classical algorithms to quantum algorithms and prove lower bounds on quantum algorithms! Towards querying few in...

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15-855: Intensive Intro to Complexity

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15-855*: An Intensive Introduction to Computational Complexity Theory. Spring 2009, 12 units. Tuesdays and Thursdays, 1:30pm-2:50pm, NSH 1305. Http:/ cmu-complexity.blogspot.com. Eric: Tues. 12:30-1:30, Wean 3709. Venkat and Ryan: By appointment. Problems and solutions available on request). Homework solutions must be typeset; LaTeX is strongly preferred. The following files provide a sample homework solution: .tex. Lecture 01 - The big questions. Lecture 02 - Basic time classes. Lecture 12 - AM and MA.

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